Based on the calculations, the sample standard deviation is equal to 4.
What is a z-value?A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:
[tex]Z=\frac{\bar x\;-\;u}{\delta}[/tex]
Where:
x is the sample mean or observed data.u is the mean.δ is the standard deviation.In Statistics, the standard deviation of a data sample is the square root of the variance and as such, this given by:
Note: Variance, δ² = 16
Taking the square root of the variance, we have:
Standard deviation, δ = √16
Standard deviation, δ = 4.
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Complete Question:
A sample of n=225 scores has [tex]\bar x[/tex] = 103 and δ² = 16. What is the sample standard deviation?
write out the form of the partial fraction decomposition of the function (as in this example). do not determine the numerical values of the coefficients. (a) x − 30 x2 x − 30 (x−5)b (x 6)a (x−5)(x 6) (b) x2 x2 x 30
The partial fraction decomposition of the given expression can be written as
[tex]\frac{(x-30)}{x2+x-30} = \frac{A}{(x-5)} +\frac{B}{(x+6)}[/tex]
What is the partial fraction and quadratic equation?
The expression which is in the form of a rational equation can be converted to multiple fractions by performing factors of the denominator equation. And later split the fraction expression into two or more simpler fractions which form a partial fraction.
A quadratic expression is a second degree polynomial equation whose coefficients are real numbers. It comes from the word “quad” which means “square”. And that is why the degree of a quadratic equation is two.
According to the question, the factors of the denominator expression which is quadratic in nature:
[tex](x^{2} +x-30)=(x-5)(x+6)[/tex]
Now, the factors of the given expression are possible. The the partial fraction can be written as:
[tex]\frac{(x-30)}{x2+x-30} = \frac{A}{(x-5)} +\frac{B}{(x+6)}[/tex]
The factors of the second equation are not possible.
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Cuánto es 22=5(y–8)????????
Answer:12.4
Step-by-step explanation:
22=5(y-8) Use the distribution property
22=5y-40 Add 40 to both sides
62=5y Divide 5 from both sides
12.4 = y
Answer:
y=62/5
Step-by-step explanation:
mueva los términos
22=5y-40
calcule
-5y=-40-22
multiplique ambos lados
-5y=-62
y=62/5
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.)
midpoint (20,21), endpoint (19,12)
(-1, 2))
You just to make use of the Midpoint Formula to solve for the missing coordinate
Midpoint Formula
((x1 + x2)/2, (y1 + y2)/2)
Midpoint (0,-1) end point (1,-4)
Let x1 = 1, the x coordinate of the endpoint
Let x2 = the x coordinate of the unknown endpoint
Let y1 = -4, the y coordinated of the endpoint
Let y2 = the y coordinated of the unknown endpoint
Just plug in the values and do the calculations
For the x coordinate of the unknown endpoint
(x1 + x2)/2
(1 + x2)/2 = 0
1 + x2 = 0
x2 = -1
For the y coordinate of the unknown endpoint
(y1 + y2)/2
(-4 + y2)/2 = -1
-4 + y2 = -2
y2 = -2 + 4
y2 = 2
So the coordinates of the other endpoint are (-1,
What is the approximate value of 8–√ ?
The value of 8-√5 is approximately 5.76 which is calculated by rounding the square root of 5 to 2 decimal places.
A number y whose square (the outcome of multiplying the number by itself, or y × y), is x (y² = x) is said to be the square root of a number x.
For instance, since 4² = (4)² = 16, 4 and -4 are the square roots of 16.Every nonnegative real number x has a singular nonnegative square root, denoted by √n where the symbol √ is known as the radical sign or radix, which is known as the primary square root.For instance, we write to indicate that the primary square root of √9 is 3. The radicand is the phrase (or integer) whose square root is being analyzed. The quantity or phrase that appears beneath the radical sign is known as the radicand.Now the given expression is of the form ( 8 - √5 )
We know that √5 = 2.2360... ≈ 2.24 (rounded to 2 decimal places.)
∴ 8 - √5
= 8 - 2.24
= 5.76
Hence the value of the expression is approximately 5.76 .
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Disclaimer: The complete question is:
What is the approximate value of 8–√5 ?
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m
=
11
x
+
1
,
DCH
m
=
8
x
,
and
DCB
m
=
172
°
.
Find
DCH
m
.
The value of the angle DCH is 72 degrees
How to determine the value of the angle DCH?The given parameters are
m = 11x+1,
DCH = 8x,
DCB = 172°.
The above means that:
11x + 1 + 8x = DCB
This gives
11x + 1 + 8x = 172
Evaluate the like terms
19x = 171
Divide both sides by 19
x = 9
Substitute x = 9 in DCH = 8x,
DCH = 8 * 9
Evaluate
DCH = 72
Hence, the value of the angle DCH is 72 degrees
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A recipe called for using 5 1/8 cups of flour before baking and another 8 7/9 cups after baking. What is the total amount of flour needed for the recipe?
Answer:
13 65/72 is your answer.
Step-by-step explanation:
Answer:
13 65/72
Step-by-step explanation:
To conserve water, many communities have developed water restrictions. the water utility charges a fee of $29, plus an additional $1.41 per hundred cubic feet (hcf) of water. the recommended monthly bill for a household is between $54 and $82 dollars per month. if x represents the water usage in hcf in a household, write a compound inequality to represent the scenario and then determine the recommended range of water consumption. (round your answer to one decimal place.) 54 ≤ 1.41x 29 ≤ 82; to stay within the range, the usage should be between 17.7 and 37.6 hcf. 54 ≤ 1.41x 29 ≤ 82; to stay within the range, the usage should be between 17.7 and 58.2 hcf. 54 ≤ 1.41x − 29 ≤ 82; to stay within the range, the usage should be between 38.2 and 78.7 hcf. 54 ≤ 1.41x − 29 ≤ 82; to stay within the range, the usage should be between 58.9 and 78.7 hcf.
Answer: The answer is "54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the usage should be between 17.7 and 37.6 HCF."
I took the test.
Select the correct answer. what is the value of the third quartile of the data set represented by this box plot? a box plot with lower quartile, median and upper quartile values as 21, 26, and 29, respectively. the whiskers on both the ends end at 19 (minimum) and 33 (maximum). a. 19 b. 21 c. 26 d. 29
Answer:
D. 29
Step-by-step explanation:
just did the test and got it correct. Edmentum, Plato.
Twice a number y increased by seven
The statement "twice a number y increased by seven " can be expressed by the algebraic expression is 2y+7.
A mathematical construct called an algebraic expression is made up of integer constants, variables, and algebraic operations (addition, subtraction, multiplication, division, and exponentiation by a rational exponent).
Let us take an expression 5a²+2c+7 is an algebraic expression. Where
a,c are variables 5 and 2 are coefficients and 7 is the constant.
The given statement is "Twice a number y increased by seven". let us break it into smaller parts:
Twice a number y is represented by 2y , then it is increased by 7 . So the required expression comes out as 2y+7.
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whats the answer to 1.17-0.07+ (3.92a)
Answer:
3.92a + 1.1
Step-by-step explanation:
remove the parentheses
1.17 - 0.07 + 3.92a
subtract
1.17 - 0.07 = 1.1
= 3.92a + 1.1
please help me on this ...
Answer: 5m
Step-by-step explanation: multiply the numbers.
Can someone help me on this question and explain the process
Answer:
Step-by-step explanation: Use Pythagorean Theorem
[tex]a^2 + b^2 = c^2\\[/tex]
[tex]15^2 + b^2 = 9^2\\[/tex]
[tex]225 + b^2 = 81[/tex]
[tex]- 255[/tex] [tex]-255[/tex]
-------------------
[tex]b^2 = 174\\[/tex]
[tex]b^2 = \sqrt{-174}[/tex]
1 What is the domain of the following function?
A -4
B 4≤x≤1.5
C -5
D -5≤y≤6
The domain of the function is -4 ≤ x ≤ 1.5. The correct answer is option B.
What is Domain ?
A domain is the possible independent variable value of a function. In a two dimensional graph, the independent variable is x - axis.
From the given graph, tracing the line of the equation to the x - axis, the independent variable value span from x = -4 to x = 1.5.
So, we can say that the domain of the function is -4 ≤ x ≤ 1.5
Therefore, the correct answer is option B.
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How many liters of water should be evaporated from 60 liters of a 28% salt solution so that the remaining solution contains 32% salt?
7.5 liters
8.4 liters
43.2 liters
52.5 liters
Answer:
7.5 liter
Step-by-step explanation:
That is right 7.5 liters
Answer:
7.5 liters
its hard to explain for me because i don't know some other English words.
5. in an experiment that tested how adding variable quantities of sugar to flowers in a vase made the flowers last longer, the dependent variable would be the \
For given scenario the dependent variable would be the life of flowers.
For given question,
The variable that researchers are trying to explain or predict is called the
response variable. It is also sometimes called the dependent variable
because it depends on another variable.
The variable which is used to predict the response variable is known as the explanatory variable. It is also called as an independent variable because it does not depend on another variable.
The amount of sugar would be an independent variable and the life of flowers is a dependent variable.
Therefore, for given scenario the dependent variable would be the life of flowers.
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Out of the incoming freshman at a collage 2,268 of them are female. how many incoming freshman are there if 58% are male?
When out of the incoming freshman at a collage 2,268 of them are female and 58% are male then the total number of freshman is 5400
Given,
Number of females = 2268
Consider the total number students as x
Percentage of male = 58%
Then the equation will become
x-2268= x×[tex]\frac{58}{100}[/tex]
x-2268=0.58x
x-0.58x=2268
0.42x=2268
x=5400
Hence, when out of the incoming freshman at a collage 2,268 of them are female and 58% are male then the total number of freshman is 5400
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TEMPERATURE The temperature on a thermometer dropped from a reading of 25°to -8°. Find the midpoint of these temperatures.
Answer:
8.5°
Step-by-step explanation:
25 + (-8)
=25 - 8
=17 ÷ 2
= 8.5°
The coordinate a,b are co-linear, and b lies between a and c. if ac= 36, ab= 2x + 4 and bc= 4x + 2, what is the value of x?
When, the coordinate a and b are colinear, and b lies between a and c, if ac=36, ab= 2x+4 and bc=4x+2, then the value of x is 5
Given,
The coordinates a and b are colinear.
The point b lies between a and c
Therefore,
ac = ab + bc
ac= 36
ab= 2x+4
bc= 4x+2
Substitute the values
36= 2x+4 + 4x+2
36= 6x+6
6x= 36-6
6x=30
x=5
Hence, when the coordinate a and b are co-linear, and b lies between a and c, if ac=36, ab= 2x+4 and bc=4x+2, then the value of x is 5
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choose the four variables that are most important to control in an experiment about the rate at which bread turns moldy.
Four variables that are most important to control in an experiment about the rate at which bread turns moldy are:
(A) Humidity.(C) Age of bread.(D) Type of bread.(H) Type of storage container.What do we mean by experiment?An experiment is a procedure that is carried out to support or refute a hypothesis, or to determine the efficacy or likelihood of something that has never been tried before. Experiments shed light on cause-and-effect relationships by demonstrating what happens when a specific factor is changed. Experiments vary greatly in goal and scale, but they all rely on repeatable procedures and logical results analysis. Natural experimental studies are also available.So, the variables that are most important in an experiment about the rate at which bread turns moldy are:
Humidity.Age of bread.Type of bread.Type of storage container.Therefore, four variables that are most important to control in an experiment about the rate at which bread turns moldy are:
(A) Humidity.(C) Age of bread.(D) Type of bread.(H) Type of storage container.Know more about experiments here:
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The correct question is given below:
Choose the four variables that are most important to control in an experiment about the rate at which bread turns moldy.
a. humidity
b. B time of day
c. age of bread
d. type of bread
e. shape of bread
f. height of observer
g. type of shelf surface
h. type of storage container
3s≤ 19;s=-6
Tell whether the value is a solution of the inequality.
Yes , s = - 6 is the solution of the given inequality 3s ≤ 19 .
When two real numbers or algebraic expressions are related by the symbols '>', '<', '≥', '≤', the relationship is called an inequality. In algebra, an inequality is a mathematical statement that uses the inequality symbol to show the relationship between two expressions. A solution set is a set of values that satisfy a given inequality. This means that all values in the solution set satisfy the inequality and other values do not.If s = - 6 is the solution of given inequality 3s ≤ 19 ...... (1) then , it must satisfy the inequality.
Putting s = - 6 in equation (1) , we get
[tex]3(-6)\leq 19\\-18\leq 19[/tex]
As the above condition is true so , s = - 6 is the solution of given inequality.
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The school newspaper wants to find the opinions of students on availability of campus parking. They send a staff member to stand outside a busy dorm and interview students as they walk in or out of the building. What type of sampling process did the paper use?.
The sampling process used by the school newspaper is convenience sampling.
Convenience sampling is the most popular kind of sampling that concentrates on gathering data from individuals (the sample) who are 'convenient' for the researcher to reach. With this sample strategy, researchers can choose subjects at random who are receptive to being contacted and participating in the study rather than selecting participants at random based on any set of criteria (such as demographic variables). This implies that one can locate your sample at any time and any place, such as among individuals in a mall, on the street, at work, or in an online community.
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a robot encounters a bunch of coins spread out on the ground. it examines each coin and, if the coin is heads, turns it to tails with 100% probability. if the coin is tails, it turns it to heads with 50% probability. he examines each coin once per cycle. if you have the robot cycle through the coins a very large number of times, what will eventually happen to the proportion of heads and the proportion of tails?
The proportion of heads and the proportion of tails p(H) + p(T) = 1.
Let p(H) represent the long-term probability that the coin will land on heads, and p(T) represent the long-term probability that the coin will land on tails.
Keep in mind that we must be at a tail and transition with a probability of 0.5 in order to get a head. So, p(H) = 0.5p(T).
Noting that we can either be at a head and transition to a tail with a probability of 1, or at a tail and transition to a tail with a probability of 0.5, we can obtain a tail. p(T) therefore equals 0.5 * p(T) + p(H).
Note that p(T) = 2 p is the result of the first two equations (H). We obtain p(H) = 1/3 and p(T) = 2/3 by substituting into p(H) + p(T) = 1. So, eventually, we'll have two-thirds of the coins with heads and one-third with tails.
What is the probability of finding three heads if there are five coins?The probability of finding three heads is 1/4. We should find the probability of finding three heads in five tosses with the help of the following formula:
p(x) = (x+1) C x-1 p(3 Heads)
p(x) = (5+1) C 4 -1p(3 Heads) = 7/8.
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Please answer ASAP Due in 4 hours
Answer:
+6
Step-by-step explanation:
Write the equation of the parabola in vertex form.
vertex(4,4) , (3,2)point?
please help me with this question
The equation of the parabola in vertex form is y=-2(x-4)²+4.
Given that the vertex point is (4,4), (3,2).
The equation of a parabola in vertex form is y=a(x-h)²+k where a is called stretch coefficient and the point (h,k) is the vertex of the parabola.
A parabola with its vertex at the point (4,4), therefore h=4,k=4 and we can write
y=a(x-4)²+4
To find the value of a we use the point (3,2). Substituting on the equation we get:
y=a(x-4)²+4
2=a(3-2)²+4
2=a(1)²+4
2=a+4
2-4=a
-2=a
Then the equation of the parabola in vertex form is y=-2(x-4)²+4.
Hence, the equation of the parabola in vertex form from the given point (4,4), (3,2) is y=-2(x-4)²+4.
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If m< EBC = 3y+10 and m< ABE = 2y-20, find m< EBF.
By applying the supplementary angle theorem, the magnitude of angle EBF (m<EBF) is equal to 60°.
What is a supplementary angle?A supplementary angle can be defined as two (2) angles or arc whose sum is equal to 180 degrees.
Mathematically, a supplementary angle can be calculated by using this formula:
Q + R = 180
Where:
Q and R are measure of the angles subtended.
Substituting the given parameters into the formula, we have;
m<EBC + m<ABE = 180
3y + 10 + 2y - 20 = 180
5y - 20 = 180
5y = 180 + 20
5y = 200
y = 200/5
y = 40
Now, we can determine the magnitude of angle EBF (m<EBF) based on the given diagram:
m<ABE = m<EBF
m<EBF = 2y - 20
m<EBF = 2(40) - 20
m<EBF = 80 - 20
m<EBF = 60°
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What is 4a +22
______
10-b
One roofer can put a new roof on a house three times faster than another. working together they can roof a house in 5 days. how many days would it take the faster roofer to put a new roof on a house working alone? round the answer to the nearest tenth. (assume the roofs of the houses are similar sizes.)
According to the given statement the quicker roofer can finish a house's roof in around 6.7 days when working alone.
How do you rounding off ?In a given base, a round number is a number that ends including one or more "0s." So, 590 is more round than 592, but less round than 600. A round number is frequently interpreted in both technical and casual language to stand for something like a value or values close to the nominal value represented.
According to the given data:If the faster roofer takes t, the slowest one will take 3t.
Their total daily charges for roofing are
1/t + 1/(3t) = 1/5
4/(3t) = 1/5
multiply by 5t
t = 5(4/3)
= 20/3
= 6.7
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In the first quadrant,you start at (11,8) and move 9 units left and 3 units up
The result of moving 9 units to the left and 3 units up is (2,11) in the 1st quadrant.
What do we mean by quadrants?A quadrant is an area enclosed by the x and y axes; thus, a graph has four quadrants. To explain, the two-dimensional Cartesian plane is divided into four quadrants by the x and y axes. Quadrant I begins in the upper right corner and progresses counterclockwise through Quadrants II through IV.Refer to the graph given below:
After moving 9 units left and 3 units up, the result is (2,11).Therefore, the result of moving 9 units to the left and 3 units up is (2,11) in the 1st quadrant.
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with an average speed of km per hour,a bus takes 10 hour to arrive kathmandu from biratnagar.in how early does it arrive kathmandu,if its average speed is increased by 5 km per hour?
It arrives 1 hour early in Kathmandu, if its average speed is increased by 5 km/h;
Average speed = 45 km/h;
Total time taken to arrive Kathmandu from Biratnagar = 10 hours
∴ Distance between Kathmandu and Biratnagar = Speed × Time
= 45 × 10
= 450 km;
If average speed is increased by 5 km/h, new average speed = 50 km/h;
New time to reach Kathmandu = Distance/ Time
= 450/50
= 9 hours;
It arrives 10 - 9 = 1 hour early in Kathmandu;
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the 1560 members of the temecula community church have a method of quickly notifying members. the pastor and his secretary each call 3 members each of whom then call 3 other members, each of whom then calls 3 more members, and so on. how many rounds of calls are needed before all 1560 members are called
Using an exponential function, it is found that 7 rounds are needed before all 1560 members are called.
What is an exponential function?An exponential function is modeled as follows:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.Considering that initially one person knows the method, and then each person will call 3 other people, the parameters are given as follows:
a = 1, b = 3.
Hence the number of people that are called after x rounds is given by:
[tex]y = 3^x[/tex]
The number of rounds that will take for the 1560 members to be called is found as follows:
[tex]3^x = 1560[/tex]
[tex]\log{3^x} = \log{1560}[/tex]
[tex]x\log{3} = \log{1560}[/tex]
[tex]x = \frac{\log{1560}}{\log{3}}[/tex]
x = 6.69.
Rounding up, as at the end of the 6th call not all members will have been called, 7 rounds are needed before all 1560 members are called.
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