Find the probability that a 42 person shift will put together between 193.2 and 201.6 computers per hour.
Answers
The probability that a 42 person shift will put together between 193.2 and 201.6 computers per hour is given as follows:
0.0006 = 0.06%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by the equation presented as follows: [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The parameters for this problem are given as follows:
[tex]\mu = 4.2, \sigma = 0.8, n = 42, s = \frac{0.8}{\sqrt{42}} = 0.1234[/tex]
The probability that a 42 person shift will put together between 193.2 and 201.6 computers per hour is equivalent to the probability of a sample mean between 193.2/42 = 4.6 and 201.6/42 = 4.8.
The probability is the p-value of Z when X = 4.8 subtracted by the p-value of Z when X = 4.6, hence:
Z = (4.8 - 4.2)/0.1234
Z = 4.86
Z = 4.86 has a p-value of 1.
Z = (4.6 - 4.2)/0.1234
Z = 3.24
Z = 3.24 has a p-value of 0.9994.
Hence:
1 - 0.9994 = 0.0006 = 0.06%.
Missing InformationThe missing section is given by the image presented at the end of the answer.
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Related Questions
Iti...
00
t
Get ready
and
Evaluate.
Hint: Use the image to help break 9 x 4 up into two expressions.
9x4
5 fours +
fours
Answers
Based on the image, we can break 9 × 4 into two expressions as 4 groups of 9 or 9 groups of 4. This equals 36.
How to explain the expressionIt should be noted that to break 9 x 4 up into two expressions, you can use the distributive property of multiplication over addition, which states that a(b + c) = ab + ac.
So, we can rewrite 9 x 4 as:
9 x 4 = 9 x (3 + 1)
Using the distributive property, we can expand this expression as:
9 x (3 + 1) = (9 x 3) + (9 x 1)
Simplifying, we get:
9 x 4 = 27 + 9
Therefore, we have broken up 9 x 4 into two expressions: 27 and 9. This will give 36.
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Find the equation of the line shown.
Answers
Answer: y=1x+6
Step-by-step explanation:
goign up by 1/1 y intercpt is 6
G
Which inequality has a dashed boundary line when graphed?
3
oy²x+1
O y²-3x+1
2
Oy> 3x+1
O y≤7x-1
Answers
The inequality that has a dashed boundary line when graphed is:
y > 3x + 1
What is inequality?In mathematics, an inequality is a statement that two quantities are not equal or do not have the same value. In other words, it is a statement that compares two values, expressing that one value is greater than, less than, or not equal to the other value. An inequality is denoted by symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).
What is Dashed boundary?In mathematics, a dashed boundary refers to a boundary line that is graphed as a dashed line rather than a solid line. The use of a dashed line is typically used to indicate that the boundary itself is not included in the set of solutions of an inequality or equation.
In the given question,
The inequality that has a dashed boundary line when graphed is:
y > 3x + 1
The reason for this is that when graphed, the boundary line of the inequality y > 3x + 1 is a straight line, but it is dashed instead of solid. This is because the inequality is strict, meaning that the boundary line itself is not included in the set of solutions. On the other hand, if the inequality had been y ≥ 3x + 1, the boundary line would have been a solid line because the inequality is non-strict and includes the boundary line itself as a solution.
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Which of these is not true about a polynomial regression model?
Group of answer choices
a. used when the linear regression is not able to capture the data points
b. has multiple predictors
c. requires a linear relationship between the predictor and the dependent variable
Answers
Answer:
Option b
Explanation:
c. requires a linear relationship between the predictor and the dependent variable is not true about a polynomial regression model.
Polynomial regression models allow for non-linear relationships between the predictor and dependent variable by adding polynomial terms to the model. This means that polynomial regression models can capture non-linear relationships that linear regression models cannot.
Therefore, option a is true. Polynomial regression models can also have multiple predictors, so option b is true.
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 4 people took the trip. She was able to purchase coach tickets for $140 and first class tickets for $1000. She used her total budget for airfare for the trip, which was $2280. How many first class tickets did she buy? How many coach tickets did she buy?
number of first class tickets bought = ___
Answers
The number of coach tickets purchased is 3, and the number of first-class tickets purchased is 8.
Let us assume the number of coach tickets purchased is x.
And the number of first-class tickets purchased is y.
Now,
Including Sarah, a total of 11 people took the trip.
Thus,
[tex]x + y = 11 [/tex]
The cost of coach tickets and first-class tickets are $210 and $1200 respectively.
The total budget for airfare for the trip is $10,230.
Therefore,
210x + 1200y = 102309
21x + 120y = 1023
Solving both the equations, we get.
x=3
y=8
Thus, The number of coach tickets purchased is 3, and the number of first-class tickets purchased is 8.
Blood pressure readings are normally distributed. The mean systolic blood pressure is 120 and the standard deviation is 8. If a medical researcher randomly selects a sample of 20 people, what is the probability that the mean blood pressure for this sample will be greater than 123?
Answers
Answer:
To solve this problem, we can use the central limit theorem and the standard normal distribution.
The central limit theorem states that the distribution of sample means is approximately normal, with a mean equal to the population mean, and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
Let X be the systolic blood pressure of an individual in the population. We know that X is normally distributed with a mean of 120 and a standard deviation of 8.
Let Y be the sample mean blood pressure of a sample of 20 individuals. Then Y is also normally distributed, with a mean of 120 and a standard deviation of 8 / sqrt(20) = 1.7889.
We want to find the probability that the sample mean blood pressure is greater than 123. We can standardize this value using the standard normal distribution as follows:
Z = (Y - 120) / (8 / sqrt(20))
P(Y > 123) = P(Z > (123 - 120) / (8 / sqrt(20)))
= P(Z > 1.3363)
Using a standard normal distribution table or calculator, we can find that the probability of Z being greater than 1.3363 is approximately 0.0918.
Therefore, the probability that the mean blood pressure for a sample of 20 people will be greater than 123 is approximately 0.0918.
Function or not a function answers
Answers
Answer:
Only the set of ordered pairs is one-to-one
Step-by-step explanation:
You have three right
The last one:
A function is one-to-one if and only if, for every value of y there is only one value of x
The mapping diagram is not one-to-one since for two values of x, x = -3 and x = 5 we get the same y value of 6
The set of ordered pairs is a one-to=-one since for every value of y there is a unique value for x
Mio deposits money in his bank account from a summer job and doesn’t spend any of it. After working 3 hours total, he has $71. After working 12 hours total, he has $134. How much money does Mio earn per hour?
Answers
Answer:
Step-by-step explanation:
because we know 1 hour is 60 min so 3 hours would be 60x3=180 then you do 3x23.7=71 12x11.2=134 so in total he has 23.7 per hour and 11.2 for 3 hours
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 240 engines and the mean pressure was 4.6 lbs/square inch. Assume the variance is known to be 0.81 . If the valve was designed to produce a mean pressure of 4.7 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve does not perform to the specifications? State the null and alternative hypotheses for the above scenario.
Answers
We reject the null hypothesis and come to the conclusion that there is adequate evidence at the 0.02 level.
What does hypothesis testing's Type I error and Type II error mean?The rejection of a correct null hypothesis during hypothesis testing is referred to as a Type I mistake. As a result, we get the incorrect conclusion that there is a large difference between two groups or variables. A false positive is another name for a Type I mistake.
Failure to reject a faulty null hypothesis is a Type II mistake. This means that we get the incorrect conclusion that there is no difference between two groups or variables when there actually is one. False negative is another name for a Type II mistake.
The valve generates a mean pressure of 4.7 lbs/square inch, which is the null hypothesis:
H0: μ = 4.7
The other possibility is that the valve does not generate 4.7 lbs/square inch of mean pressure:
Ha: μ ≠ 4.7
Since we are comparing the single sample mean to a known population mean and we are aware of the population variance, we can test this hypothesis using a one-sample t-test. The test statistic is determined by dividing the sample mean (x) by the population mean, the sample size (n), and the population standard deviation (s).
We obtain the following by plugging in the values:
t = (4.6 - 4.7) / (0.9 / √(240))
t = -4.15
Using a two-tailed test and a t-distribution table with 239 degrees of freedom (240 - 1), we can get the crucial t-value as follows:
T critical equals 2.571
We reject the null hypothesis and come to the conclusion that there is adequate evidence at the 0.02 level that the valve does not operate in accordance with specifications since our computed t-value (-4.15), which is in the rejection area (t -2.571 or t > 2.571), falls within this range.
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x+y=20 and x-y=4 what is the smaller of these two numbers?
Answers
Answer:
y = 8 is the smaller number.
Step-by-step explanation:
Sove the system by adding the two equations together, one on top of the other. Add from the top, down.
x + y = 20
x - y = 4
________
2x = 24
Divide by 2.
x = 12
Put this back into either original equation.
x + y = 20
12 + y = 20
Subtract 12.
y = 8
The numbers are 12 and 8.
8 is the smaller number.
Theoretical propobility
Answers
Theoretical probability is the likelihood of an event occurring based on mathematical reasoning or analysis, rather than on empirical or experimental data.
What is probability?Probability refers to the likelihood of a particular event or outcome occurring. It is a measure of the chance of an event happening, and is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event can be determined by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in many fields, including mathematics, statistics, physics, engineering, and finance, to make predictions and inform decision-making.
Here,
It is calculated using the laws of probability and assumes that all outcomes are equally likely to occur. Theoretical probability is often used in situations where it is not possible or practical to conduct experiments or collect data, such as in mathematical or statistical modeling.
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Please help with this!
4.3.4 shifting functions
2: do you agree with Serena that you can draw the graphs for the other two rockets by shifting the functions or do you think that Jack is correct and you need to recalculate the other two explain
3: compare the equation with the graph of the function assume the graph is atransformation from f (t)= -6t². Represent the science project what happens to the rocket
4: again assuming a transformation from f(t)= -6t² what does term 82.14 due to the rockets graph what does the value h (t)= 82.14 representative science project what is happening to the rocket
5: p Serena and Jack launch the second rocket 3 seconds after the first one how is the number of the second rocket different from the graph of the first rocket describe in terms of the the vertical and horizontal shift
6: what is the equation of the second rocket
7: they launched the third rocket and three seconds after the second rocket and from a tall platform but will the graph of the third rocket look like described in terms of the vertical and horizontal shape
8: what is the equation of the third rocket
9: answer the following questions about the three rockets refer to the graph rockets and times shown above
A: approximately when was the third rocket launched
B: approximately when does the first rocket land
C: what is the approximate interval during which all three rockets are in the air
Answers
The vertical shape of the graph will be the same as that of the first rocket, assuming both rockets have the same initial velocity and acceleration.
What is the interval during which all three rockets?1.I agree with Serena that we can draw the graphs for the other two rockets by shifting the functions. We can use the same equation and just adjust the values of the horizontal and vertical shifts.
2. The equation f(t) = -6t² represents a quadratic function, which has a parabolic shape when graphed. If we apply a transformation to this function, such as a vertical or horizontal shift, the shape of the graph will change accordingly.
3. The term 82.14 likely represents the maximum height achieved by the rocket, since the equation f(t) = -6t² gives the height of the rocket as a function of time. The value of h(t) = 82.14 corresponds to a specific time when the rocket reaches its maximum height.
4. If the second rocket is launched 3 seconds after the first one, the graph of the second rocket will be shifted horizontally by 3 units to the right compared to the graph of the first rocket. This represents a time delay of 3 seconds between the two launches.
5. The equation of the second rocket would be f(t) = -6(t-3)², assuming that the second rocket has the same initial velocity and acceleration as the first rocket but is launched 3 seconds later.
6. Since the third rocket is launched 3 seconds after the second rocket and from a tall platform, its graph will be shifted horizontally to the right by 6 units compared to the graph of the first rocket.
9. A: Based on the graph, the third rocket was launched at approximately 5:20 PM.
B: Based on the graph, the first rocket lands at approximately 5:15 PM.
C: Based on the graph, all three rockets are in the air between approximately 5:10 PM and 5:25 PM, so the approximate interval during which all three rockets are in the air is 15 minutes.
Therefore, spends an additional 6 seconds in the air before landing. The vertical shape of the graph will depend on the specifics of the rocket's launch and trajectory.
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Calculus(Question in picture)
Answers
The absolute maximum value occur (3, 4.033) at point x = 3
How to find the absolute value of the functionThe function given in the problem is g(x) = 3x³e⁻ˣ
differentiating the function
g(x) = 3x³e⁻ˣ
g'(x) = 3x³(-e⁻ˣ) + e⁻ˣ(9x²)
g'(x) = e⁻ˣ(-3x³ + 9x²)
equating to zero
0 = e⁻ˣ(-3x³ + 9x²)
0 = -3x³ + 9x²
3x³ = 9x²
x = 3
checking intervals close to 3: the check is done using numbers at the left and right to 3 and this numbers will be sufficiently close.
We choose 1 and 5, when the value of g'(x) increases from positive to negative then maximum value occurs
at x = 1, g'(1) = e^(-1)(-3(1)³ + 9(1)²) = 2.2073
at x = 3, g'(3) = e^(-3)(-3(3)³ + 9(3)²) = 0
at x = 5, g'(5) = e^(-5)(-3(5)³ + 9(5)²) = -1.0107
We can say that x = 3 is point of local maxima
g(3) = 3(3)³e^(-3) = 4.03275 = 4.033
from calculation the absolute maximum value occurs at (3, 4.033)
From the graph the absolute maximum value for the domain -1 ≤ x ≤ 5 occurs at (3, 4.033)
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1. ALUMMUNI PLC. Produces three models of tractors: Metakeb, Mewesson, Metekem Each unit of Metakeb, Mewesson and Metekem requires the following amounts of time in minumtes in each of the indicated departments.
Machining dep't
Inspection dep't
(in minutes)
(in minutes)
(in minutes)
Metakeb
1200
2400
600
Mewesson
1800
1200
3000
Metekem
3000
Assembly dep't
2400
1200
Suppose the total time available per month in machining, assembly and inspection departments are 1050, 1160 and 830 hours respectively.
Required:
Determine the number of units of each product to be produced in a month to use up all the available resources (use Gaussaian method)
Answers
The company should produce 235 units of Metakeb, 96 units of Mewesson, and 17 units of Metekem per month to use up all the available resources.
What is the Gaussian method?
The Gaussian method, also known as Gaussian elimination or row reduction, is a technique for solving systems of linear equations. It involves performing a sequence of operations on the rows of a matrix to transform it into an equivalent matrix that is in row echelon form or reduced row echelon form.
To use the Gaussian method, we need to set up a system of linear equations based on the given information. Let x, y, and z be the number of units of Metakeb, Mewesson, and Metekem produced per month, respectively. Then we have:
Machining department: 1200x + 1800y + 3000z = 1050(60)
Inspection department: 2400x + 1200y = 1160(60)
Assembly department: 600x + 3000y = 830(60)
Simplifying these equations, we get:
Machining department: 20x + 30y + 50z = 3150
Inspection department: 8x + 4y = 232
Assembly department: x + 5y = 139
Now we can use the Gaussian method to solve for x, y, and z:
Step 1: Write the augmented matrix:
| 20 30 50 | 3150 |
| 8 4 0 | 232 |
| 1 5 0 | 139 |
Step 2: Use row operations to get the matrix in row echelon form:
R2 → R2 - 4/5 R3
R1 → R1 - 20R3
| 0 -2 50 | 850 |
| 0 2 -4 | -28 |
| 1 5 0 | 139 |
R2→ -1/2 R2
R1 → R1 + R2
| 0 1 -25 | 407 |
| 0 1 -2 | 14 |
| 1 5 0 | 139 |
R1→ R1 - R2
| 0 0 -23 | 393 |
| 0 1 -2 | 14 |
| 1 5 0 | 139 |
R3→ R3 - 5R2
| 0 0 -23 | 393 |
| 0 1 -2 | 14 |
| 1 0 10 | 65 |
R1→ -1/23 R1
| 0 0 1 | -17 |
| 0 1 -2 | 14 |
| 1 0 10 | 65 |
R2 → R2 + 2R3
| 0 0 1 | -17 |
| 0 1 0 | 96 |
| 1 0 10 | 65 |
R3 → R3 - 10R1
| 0 0 1 | -17 |
| 0 1 0 | 96 |
| 1 0 0 | 235 |
Step 3: Read off the solution from the row echelon form:
z = -17
y = 96
x = 235
Therefore, the company should produce 235 units of Metakeb, 96 units of Mewesson, and 17 units of Metekem per month to use up all the available resources.
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WRITING EXAMPLE: EMAIL Compare both texts. Which one do you think is better written? 1. Hi Usma. I like blue colour. Because blue is the best color please when can you come and painting my room. If u coming tomorrow reply me back, dont worry about mony. I whant tell you my room. My room is white colour and I have one shair. Tell me about you rom. Maria 2. My favourite colour is pink, but for my bedroom I prefer white because it's the best colour for my room. My bedroom is big. It is white. There are 2 beds. There is one desk. There are 2 windos. There is one armchair. Bye, Maria
Answers
Answer:
Second one
Step-by-step explanation:
Can someone please help
Answers
Answer:
34
Step-by-step explanation:
16x-12= 9x-11 + 9x-11
16×-12=18x-22
10=2x
5=x
WT= 9x-11=9(5)-11
WT=45-11
WT=34
A vending machine takes only nickels and dimes. There are 8 times as many nickels as dimes in the machine. There is a total of $3.00 in the machine. How many of each coin are there? (Show steps)
Answers
In response to the question, we may say that Value total: 60 cents plus equation 240 cents plus 300 cents equals $3.00.
What is equation?The equals symbol (=), which indicates equivalence, connects two statements in a mathematical equation. An algebraic equation's mathematical assertion proves the equality of two mathematical propositions. The equal sign, for instance, places a gap between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. Use a mathematical formula to understand how the two sentences on opposite sides of a letter relate to one another. Usually, the logo corresponds to the particular programme. An example would be 2x - 4 = 2.
Let's define our variables first:
Let x represent the amount of quarters in the machine.
10x + 5(8x) = 300
When we simplify and find x, we obtain:
10x + 40x = 300
50x = 300\sx = 6
Hence, the machine has six dime coins. We may determine the quantity of nickels by using the connection between the number of dimes and nickels:
8x = 8(6) = 48
There are 48 nickels in the machine as a result.
Verifying our response:
6 dime is 6 times 10 cents, or 60 cents.
48 nickels is 48 x 5 cents, or 240 cents.
Value total: 60 cents plus 240 cents plus 300 cents equals $3.00.
The vending machine has 48 nickels and 6 dimes, thus our answer is right.
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Line AB intersects line CD at point F. If m<AFC=(7x-8)° and m<BFD=(5x+6)°, what is m<BFD?
82°
48°
41°
7°
Answers
76 is m<BFD in linear equation.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
The above is occasionally referred to as a "linear equation with two variables," where y and x are the variables.
m<AFC + m<BFD = 180°
(7x-8)° + m<AFC = 180°
(5x+6)° + m<BFD = 180°
(7x-8)° = (5x+6)
2x = 12
x = 14
m<BFD=(5x+6)°
= 5 * 14 + 6
= 70 + 6
= 76
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A plane can fly 420 miles in the same time as it takes a car to go 150 miles. If the car travels 90 mph slower than the plane, find the speed of the plane. Using r as your variable to represent the speed of the plane in miles per hour, write an equation using the information above that can be solved to find the answer to this problem.
Answers
Answer:
Step-by-step explanation:
rate of the plane be x
distance traveled by plane = 420 miles
time taken by plane = 420/x
distance traveled by car =120 miles
rate of car = x-120
time taken by car = 120 / x-100
the time taken by both are same
420/x = 120/ x-100
420(x-100)=120x
420x-42000 = 120x
420x-120x=42000
300x= 42000
x=42000/300
x=140 mph the speed of the plane
Twenty percent of Americans ages 25 to 74 have high blood pressure. If 26 randomly selected Americans
ages 25 to 74 are selected, find the probability that one-half have high blood pressure.
Please write your answer as a decimal. Round your answer to seven decimal places.
Answers
The probability that one-half of the selected people will have high blood pressure is given as follows:
P(X = 13) = 0.0004684.
What is the binomial distribution formula?The binomial distribution formula gives the probability of obtaining a specific number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant throughout the trials.
The mass probability formula is given by the equation presented as follows:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters, along with their meaning, are listed as follows:
n is the fixed number of independent trials.p is the constant probability of a success on a single independent trial of the experiment.The parameter values for this problem are given as follows:
n = 26, p = 0.2.
One-half of 26 is of 13, hence the probability is given as follows:
P(X = 13) = 26!/(13! x 13!) x (0.2)^13 x (0.8)^13
P(X = 13) = 0.0004684.
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The histogram shows information about how 600 people travel to work.
40
35-
30-
25-
20-
15-
10-
5-
0
0 5 10 15 20 25 30 35 40 45 50 55 60
a) How many people travel more than 40 miles to work?
b) 225 of the 600 people travel further than Tim. Estimate how far Tim travels.
Frequency density
Distance (miles)
8
A
Answers
Answer:
A:0 Noone goes higher than 40. b: 5 miles
solve for x. Round your answer to the nearest tenth.
Answers
The length of the side opposite to the 42 degree angle in the right triangle is approximately 3.4 units.
Describe Triangle?The angles of a triangle are the angles formed by its sides. The sum of the angles of a triangle is always 180 degrees, which is a fundamental property of this shape. There are different types of triangles, based on their side lengths and angle measures. For example:
A scalene triangle has three sides of different lengths and three different angles.
An isosceles triangle has two sides of equal length and two equal angles.
An equilateral triangle has three sides of equal length and three equal angles.
A right triangle has one angle that measures 90 degrees (a right angle), and the side opposite to it is called the hypotenuse.
Triangles have many important properties and applications in mathematics, physics, and engineering. They can be used to calculate distances, angles, areas, volumes, and many other quantities. Triangles are also used in the construction of buildings, bridges, and other structures, as well as in art, design, and other fields.
We can use the trigonometric ratio of sine to solve for x:
sin(42) = opposite/hypotenuse
sin(42) = x/5
To solve for x, we can multiply both sides by 5 and simplify:
x = 5*sin(42)
x ≈ 3.4 (rounded to the nearest tenth)
Therefore, the length of the side opposite to the 42 degree angle in the right triangle is approximately 3.4 units.
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The graph of a function g is shown below. Find g (-2). g (-2) = 0
Answers
Hence, in answering the stated question, we may say that As a result, graphs P75 equals 80.375.
What is graphs?Mathematicians use graphs to visually explain or chart events or variables. A graph point often indicates a connection between one thing and another. A graph, a non-linear data structure, is constituted of nodes (vertices) and edges. Glue the nodes, which are also called as vertices. This graph has E=1, 2, 1, 3, 2, 4, and (2.5) edges and V=1, 2, 3, 5. (3.5). (4.5). Graphical representations of exponential growth in analytical charts (bar charts, pie charts, line charts, and so on). a graph of a logarithmic triangle.
To get the value of P75, the 75th percentile, we need to discover the score where 75% of the scores fall below it.
z = (x - μ) / σ
where x is the score to be converted, is the mean, and is the standard deviation.
So we can write:
0.75 = P(Z ≤ 0.675)
where Z is the standard normal variable with a mean of 0 and a standard deviation of 1.
We can now rearrange the formula for the z-score to solve for the score x:
x = μ + zσ
Plugging in the values we have:
x = 77.4 + (0.675)(5) (5)
x = 80.375
As a result, P75 equals 80.375.
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HELPPPPP???????? PLEASEEE
Answers
Answer:
(1,2)
Step-by-step explanation:
The solution to a system of equations is the point at which the lines defined by the equations intersect.
On this graph, we can see that the lines meet a point on the graph that is at 1 on the x-axis (horizontal axis) and at 2 on the y-axis (vertical axis).
In Cartesian coordinates, this is written in the format (x, y):
(1, 2)
The ACT is a college entrance exam. ACT has determined that a score of 22 on the mathematics portion of the ACT suggests that a student is ready for college- level mathematics. To achieve this goal, ACT recommends that students take a core curriculum of math course: Algebra 1, Algebra 2, and Geometry. Suppose a random sample of 200 students who completed this core set of courses results in a mean ACT math of 22.6 with a standard deviation of 3.9. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 22 on the math portion of the ACT?
a) State the appropriate null and alternative hypotheses.
b) Use the classical and p-value approach at the = . level of
significance to test the hypotheses in part (a).
c) Write a conclusion based on your result to part (b)
Answers
Using null hypothesis,
a. Hzero : μ = 22
Hone : μ > 22
b. All requirements are satisfied.
c. Reject Hzero
d. There is sufficient evidence to support the claim that the students who complete the core curriculum are ready for college-level mathematics. (Score above 22 on average).
What is null hypothesis?The null hypothesis is used to make decisions when employing data and statistical tests. The null hypothesis, or Hzero, claims that there is no difference in the characteristics of the two samples. A null hypothesis is, in general, a statement of no difference. The null hypothesis must be rejected in order to accept the alternative hypothesis.
a. Given,
μzero = 22.
n = 200
x = 22.6
s = 3.9
α = 0.05
Claim is mean is more than 22.
The claim is either null or alternative hypothesis. The null hypothesis states that the population mean is equal to the value mentioned in the claim. If the null hypothesis is the claim, then the alternative hypothesis states the opposite of the null hypothesis.
Hzero : μ = 22
Hone : μ > 22
b. Requirements t-distribution hypothesis test: Simple random sample, sampling distribution of the sample mean is approximately normal & independent sample results.
Simple random sample: Satisfied, because exercise prompt states that the sample is a random sample.
All requirements are satisfied.
c. Classical approach:
Determine the value of test statistics,
t = 2.176
Determine the critical values from the students' T-distribution table with
df = n - 1 = 200 -1 = 199 > 100
t = 1.660
2.176>1.660
⇒ Reject Hzero
d. There is sufficient evidence to support the claim that the students who complete the core curriculum are ready for college-level mathematics. (Score above 22 on average).
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Find the value of x. Round your answer to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
9. sin 18 = x/21
x = 21* sin 18
x = 6.5
10. tan 55 = 29/x
x* tan 55 = 29
x = 29/tan 55
x = 20.3
11. sin 23 = x/25
x = 25 * sin 23
x = 9.8
12. sin 47 = 33/x
x * sin 47 = 33
x = 33/sin 47
x = 45.1
A transversal GH cuts two parallel lines AB and CD at E and F, respectively. If
LAEG is exterior angle and LDFE is an interior angle found on the opposite sides of
GH, and if LAEG = 35°, find LDFE.
Answers
Since AB and CD are parallel lines cut by a transversal GH, we know that the corresponding angles are equal. Therefore, LDFE = 35°
what is parallel lines ?
Parallel lines are two or more lines in a plane that never meet or intersect, no matter how far they are extended. They always maintain the same distance between them and remain equidistant at every point along their length.
In the given question,
Parallel lines are two or more lines in a plane that never meet or intersect, no matter how far they are extended. They always maintain the same distance between them and remain equidistant at every point along their length.
Corresponding angles are pairs of angles that are in the same relative position at the intersection of two lines that are crossed by a third line, called a transversal. More specifically, corresponding angles are formed when a transversal intersects two parallel lines.
Corresponding angles are congruent, which means they have the same measure or degree of angle
Since AB and CD are parallel lines cut by a transversal GH, we know that the corresponding angles are equal. Therefore,
LAEG = LDFE
So, LDFE = 35°. .
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Eric invested $10,000 in a 6-years certificate of deposit that pays 8% simple interest.
a) How much will he receive after the 6 years?
b) What is the total interest that he will earn?
Please help !!!!! My test is timed
Answers
Step-by-step explanation:
a) To calculate the amount that Eric will receive after the 6 years, we need to use the formula for simple interest:
I = P * r * t
Where:
- I is the interest earned
- P is the principal amount (the initial investment)
- r is the interest rate (as a decimal)
- t is the time period (in years)
In this case, Eric invested $10,000 at an interest rate of 8% for 6 years. So we can plug in these values:
I = 10,000 * 0.08 * 6
I = 4,800
The interest earned is $4,800. To find the total amount that Eric will receive after the 6 years, we need to add the interest to the principal:
Total = P + I
Total = 10,000 + 4,800
Total = 14,800
Therefore, Eric will receive $14,800 after the 6 years.
b) The total interest that Eric will earn is already calculated in part a) and it is $4,800.
Which dilation of △ RST would result in a line segment with a slope of 2 that passes through ( − 4 , 2 ) ?
Answers
Answer:
The location of the point (4, 2) is to the right of the triangle RST, therefore,
a dilation from the left or a contraction from the right is required.
The dilation of ΔRST that would result in a line segment with slope of 2
that passes through (4, 2) is C. A dilation with a scale factor of 0.5 centered 12,2
Step-by-step explanation:
How much is 1/12 in milliters?
Answers
The conversion of 1/12in to milliters can be expressed as 2.117mm
How can the conversion be done?Just dividing the number of conversions by the total number of ad interactions that can be linked to a conversion within the same time period yields the conversion rate. As an illustration, if you had 1,000 interactions and 50 conversions, your conversion rate would be 5% because 50 x 1,000 = 5%.
The proportion of users who perform the intended action is known as the conversion rate. The proportion of website visitors who make a purchase there serves as the prototypical illustration of conversion rate.
We can 1/12in to milliters by using the conversion rate, which 1inch = 25.4mm,and this can be used to make the conversion as:
If 1inch = 25.4mm
1/12 = X mm
Xmm = (1/12 *25.4mm)/ 1inch
=2.117mm
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complete question:
How much is 1/12in to milliters?