Answer:
20
Step-by-step explanation:
To find the line of best fit, we can use the equation for a linear regression: y = mx + b, where y is the price, x is the weight in ounces, m is the slope of the line, and b is the y-intercept.
To estimate the price when the weight is 48 ounces, we can plug in x = 48 into the equation: y = mx + b, and solve for y.
The correlation coefficient, denoted by r, is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and 1 indicating a perfect positive correlation.
In this case, the correlation coefficient means that how strong and direction of the relationship between the price and weight of cereal. A correlation coefficient of 1 means that there is a perfect positive correlation between the two variables, which means that as the weight of the cereal increases, so does the price. A correlation coefficient of -1 means that there is a perfect negative correlation between the two variables, which means that as the weight of the cereal increases, the price decreases. A correlation coefficient of 0 means that there is no correlation between the two variables, which means that there is no relationship between the weight of the cereal and the price.
in how many ways can a committee of 20 members choose a president, a vice-president, and a secretary?
There are 6840 ways to choose a president, a vice-president, and a secretary from a committee of 20 members.
To choose a president, a vice-president, and a secretary from a committee of 20 members,
We will use the formula for combinations,
which is: C(n, k) = n! / (k! (n - k)!)
where n is the total number of members and k is the number of members being chosen.
So, for n = 20 and k = 1, we have:
C(20, 1) = 20! / (1! (20 - 1)!) = 20
This gives us 20 choices for the president.
For the vice president,
We need to choose 1 member from the remaining 19 members.
So, for n = 19 and k = 1,
we have:
C(19, 1) = 19! / (1! (19 - 1)!) = 19
This gives us 19 choices for the vice president.
Finally, for the secretary,
We need to choose 1 member from the remaining 18 members.
So, for n = 18 and k = 1,
we have:
C(18, 1) = 18! / (1! (18 - 1)!) = 18
This gives us 18 choices for the secretary.
Now for finding the total number of ways to choose the three positions, we multiply the number of choices for each position:
So, the required number of ways will be 20 * 19 * 18 = 6840
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Which is a correct solution for the following system of Inequalities
The answer to the inequality system is y > 2 – x, y < -1
How to find the calculation?Step 1: Formulate each inequality as y = x + b.
(1) x + y > 2
(2) 2x – y > 1
(3) y > 2 - x Each side of the equation had x subtracted (1)
-y > 1 - 2x 2x were taken out of either side of 2.
(4) y < 2x – 1 -1 multiplied each side, then the inequality was turned around.
Graphing the functions as equalities in step two
(5) y = 2 – x
(6) y = 2x - 1
The borders of the inequalities will be formed by the lines. On one side of a line, the condition will be true, but not on the other (see the diagram below).
Step 3: Highlight the graphs' areas where the inequalities exist.
The graph of y > 2 - x is shown by the red line.
Shade the area above the line because y exceeds a value on the high side of the line (red).
The graph of y = 2x - 1 is shown by the blue line.
Shade the area below the line because y is less than a value on the line's low side (blue).
Any location where the colored regions overlap constitutes the solution set for both inequality problems (purple).
4. Check the outcome.
Input a point in the shaded region, such as (2, 2), and confirm that each inequality is true.
(1) x + y > 2 (2) 2x – y >1
2 + 2 > 2 2(2) – 2 > 1
4 > 2 4 – 2 > 1
2 > 1
It verifies.
The answer to the inequality system is
y > 2 – x, y < -1.
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Correct option is A, (1,2) is the correct option for the given system of equations.
System of Equation -Equations occurring simultaneously, system of equations Algebraic equations involving two or more must be solved cooperatively (i.e., the solution must satisfy all the equations in the system).
For a system to have a single solution, the number of equations must equal the number of unknowns.
A set of simultaneous equations, often known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
A system of equations is a collection of equations with one or more variables. Systems of equations have solutions that are either the variable mappings that satisfy each component equation or the intersections of all of these equations.
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Pls Help fast 50 points
1. The function for this problem is given as follows: f(x) = x - 3.
2. The numeric value of the function at x = 2 is of f(2) = -1.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
We define the function in this problem as follows:
f(x) = x - 3.
The numeric value at x = 2 is found replacing the lone instance of 2 by 2, hence:
f(2) = 2 - 3
f(2) = -1.
Missing InformationWe attribute the function in this problem as f(x) = x - 3.
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Michelle bought a car that costs $25,800 and put a down of $8,000 on it. The car loan is for 60 months and has an interest rate of 3.99%. How much will she actually pay for the car? What will her monthly payment be?
Topic: Exponential Growth & Decay Word Problem
Formula: A=P(1+r)^t
Please help this is due at 10:00!!!
Answer:
$327.73
Step-by-step explanation:
$25,800 - $8,000 = $17,800
The car loan is a total of 60 months (so at 60 her payment will be $0) and the interest rate is 3.99%
Growth formula: A = P(1+r)^t
We're asking for what value at x = 60 would make P(1+r)^60 = 0?
As such, $327.73
A woman wants to measure the height of a nearby tower. She places a 7ft pole in the shadow of the tower so that the shadow of the pole is exactly covered by the shadow of the tower. The total length of the tower's shadow is 182ft, and the pole casts a shadow that is 4.75ft long. How tall is the tower? Round your answer to the nearest .
Given the arithmetic series: a +13 + b + 27 + ...
Show that a=6 and b=20
what value of x is the solution set 0f 2x-3>11-5x?
The correct option that will make the inequality expression 2x - 3 > 11 - 5x true is when x is equal to 2.
The value of x that makes the inequality expression true.We shall evaluate for the values of x to know that make the inequality expression true as follows;
2x - 3 > 11 - 5x
2x + 5x - 3 > 11 {add the 5x to both sides}
7x > 11 + 3 {add 3 to both sides}
7x > 14
x > 14/7 {divide through by 7}
x > 2
Therefore, the value for x that makes the inequality expression 2x - 3 > 11 - 5x true is 2.
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hich of the following statements best describes a control group? multiple choice a control group is a comparison group treated in every way like the experimental group, except for the manipulated factor. a control group is a comparison group that does not participate in the experiment but fills out a questionnaire instead. a control group is a group of individuals randomly assigned to a variety of treatments. a control group is a group of individuals who design the procedures of an experiment.
A control group is a group of individuals that is treated in exactly the same way as the experimental group in an experiment, except for the factor that is being manipulated.
This group is used as a comparison to measure the effects of the manipulated factor on the experimental group. The control group is key for determining the validity of the results of an experiment because it helps to ensure that any observed changes are actually due to the manipulated factor. A control group should be chosen at random from the same population as the experimental group and should be given the same conditions as the experimental group, except for the factor that is being manipulated. This helps to ensure that any observed differences in the experimental and control groups are due to the manipulation and not due to any other factor.
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A first aid test has two parts, a theory test and a practical test.
The probability of passing the theory test is 0. 75
The probability of passing only one of the two parts is 0. 36
The two events are independent.
Work out the probability of passing the practical test
The probability of passing the practical test is 0.25. This is calculated by subtracting the probability of passing the theory test (0.75) from the probability of passing at least one of the two parts (0.36).
0.25
The probability of passing the practical test can be calculated by subtracting the probability of passing the theory test (0.75) from the probability of passing one of the two parts (0.36).
0.36 - 0.75 = 0.25
The probability of passing the practical test is 0.25. This is calculated by subtracting the probability of passing the theory test (0.75) from the probability of passing at least one of the two parts (0.36). The two events of passing the theory test and passing the practical test are independent, so their probabilities can be calculated separately.
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Write each proof. Finish the table.
The ASA and AAS theorems are used in the proof as explained below for each given statements.
How to Write a Proof?A proof is a logical argument that demonstrates the truth of a mathematical statement.
The proof that can be used to prove each given statements are demonstrated below.
14. Proof for ∆UVY ≅ ∆XVW:
Statement Reason
1. V is the midpoint of YW. 1. Given
2. UY || XW 2. Given
3. YV ≅ WV. 3. Def. of midpoint
4. <UYV ≅ <XWV. 4. Alternate <s theorem
5. <UVY ≅ <XVW 5. Vertical<s theorem
6. ∆UVY ≅ ∆XVW 6. ASA
15. Proof for ∆MSP ≅ ∆RQP:
Statement Reason
1. MS ≅ RQ 1. Given
2. MS || RQ 2. Given
3. <MSP ≅ <RQP. 3. Alternate <s theorem
5. <MPS ≅ <QPR 4. Vertical<s theorem
6. ∆MSP ≅ ∆RQP 6. AAS
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One month Jane rented movies 3 and video 5 games for a total of 30$. The next month she rented 6 movies and video 2 games for a total of 18$. Find the rental cost for each movie and each video game.
The rental cost for each movie and each video game are $1.25 and $5.25 respectively
What is an algebraic expression?An algebraic expression can be defined as an expression that is usually composed of terms, variables, constants, factors and coefficients.
These expressions are also made up of some mathematical operations, such as;
DivisionAdditionParenthesesFloor divisionMultiplicationSubtractionFrom the information given;
Let movies be x
Let the video games be y
We have that;
3x + 5y = 30
6x + 2y = 18
Make 'x' the subject from equation 1
x = 30-5y/3
Substitute the value
6(30-5y/3) + 2y = 18
expand the bracket
180 - 30y/3 + 2y = 18
-24y + 180/3 = 18
-24y + 180 = 54
y = $5.25
Then, x = $1.25
Hence, the values are $1.25 and $5.25
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Could someone please help! been struggling on these for a few mins !
The logarithmic form of the exponential expressions are;
1) log2 5 = x
2) log3 10 = y
3) logk 6 = 5
4) log2 32 = 5
5) log3 81 = 4
6) log 3 27 = 3
7) log10 100 = 2
8) logx y = 2
9) log10 x = 20
10) logp q = 10
11) logx y = 1/2
12) log9 3 = 1/2
What is the logarithmic form?We have to note that we can be able to write an exponential equation in the logarithmic form or in the exponential form. In the exponential form we we would have something like;
a^x = P
While in the logarithmic form we can be able to have something like;
logaP =x
These are the two forms that we can be able to write the equations that we have in the question.
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what can go into 28 and 49
Answer:The factors of 28 and 49 are 1, 2, 4, 7, 14, 28 and 1, 7, 49 respectively
Step-by-step explanation:Some numbers have 28 and 49 as answers
Graph the equation shown below by
transforming the given graph of the parent
function.
y=3•2 - 3
The graph of the exponential function y = 3(2)^x - 3 is given by the image presented at the end of the answer.
How to graph the exponential function?The parent function is given as follows:
y = 2^x.
Which has:
An initial value of 1.An horizontal asymptote of y = 0.Then the transformations are given as follows:
Multiplication by 3 -> vertical stretch by a factor of 3 -> initial value of 3.Subtraction by 3 -> shift down by 3 units -> horizontal asymptote of y = -3.More can be learned about exponential functions at https://brainly.com/question/25537936
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PLSSS HELP TURLY KNOW THISSSS
Answer: 100
Step-by-step explanation:
x/2 = 50
Multiply both sides by 2:
x = 100
Answer:
Easy Peasy, MULTIPLY 2 by 50
ANSWER IS 100Just type 100
Jenny invests $2,000 at an interest rate of 5%. The amount of money, , in Jenny’s account after t years can be represented using the equation
Answer:
A= 2000*(1+0.05)^t
Explanation: The equation represents the compound interest formula where A is the amount of money in the account, P is the principal amount (initial investment) which is $2,000, r is the interest rate (expressed as a decimal) which is 5% or 0.05, and t is the number of years. The formula shows that the account balance will increase by 5% each year, meaning the interest will be added to the principal and the new interest will be calculated on the new balance.
Step-by-step explanation:
A bookstore had 70 copies of a magazine. Yesterday, it sold 1/5 of them. Today, it sold 5/7 of what remained. How many copies does the bookstore have left?
Answer: 16
Step-by-step explanation:
1/5 x 70 = 14
70 - 14 = 56
5/7 x 56 = 40
56 - 40 = 16
Answer:
16
Step-by-step explanation:
Yesterday, the bookstore sold 1/5 of the 70 copies, which is 70 * 1/5 = 14 copies.
After selling 14 copies, the bookstore was left with 70 - 14 = 56 copies.
Today, the bookstore sold 5/7 of what remained, which is 5/7 * 56 = 40 copies.
So, the bookstore has 56 - 40 = 16 copies left.
Which function has a range limited to only negative numbers?
Answer:
F(x)=-x^2
Step-by-step explanation:
The one example of function with range of only negative number is:
F(x)=-x^2
Why this? We know for every x, x^2 is positive. So -x^2 will be negative.
an indicator of reliability based on the correlations of each item in a measure with every other item is called:
Inter-Item Reliability is a measure of how consistently different items within a measure are related to each other. It is used to assess the internal consistency of a measure.
An indicator of reliability based on the correlations of each item in a measure with every other item is called: Inter-Item Reliability.
Inter-Item Reliability is a measure of how consistently different items within a measure are related to each other. This is assessed by calculating the correlations between each item and every other item in the measure.
A high level of Inter-Item Reliability indicates that all of the items in a measure are measuring the same construct, providing evidence for the validity and reliability of the measure. Conversely, a low level of Inter-Item Reliability indicates that the items in the measure may not be measuring the same construct, or that the measure may not be reliable or valid.Learn more about Inter-Item Reliability: https://brainly.com/question/13171394
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Simplify and explain 6 + (5 + x) (Hurry!)
Answer:
11+x
Step-by-step explanation:
6 + (5 + x)
because you have a + between 6 and the parentheses then you can just add everything up without warring about them. so:
6+5+x which equals to 11+x
The graph of quadratic function f is shown on the grid. Which of these best represents the domain of f?
The domain of the quadratic function is x ≥ -6.
The correct option is C.
What is domain?The collection of all conceivable independent values that a function or relation may take is known as its domain.
Given:
The graph of quadratic function f is shown on the grid.
The domain of f(x) means,
all the values of x where function is defined.
From the graph,
the domain is, x ≥ -6.
Therefore, the domain is x ≥ -6.
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DESCRIBE A SEQUENCE OF TRANSFORMATIONS THAT WILL MAP ABCD ONTO A’B’C’D’
rotate _____ degrees _____ around E, then ______ over the vertical line k.
Rotate( options )
120.
90
60
180
2 answer options
Counterclockwise
Clockwise
Options answer 3
Translate
Reflect
Rotate
Rotate 90 clockwise around E, then reflected over the vertical line K
Answer Choices:
A: y=2x+4
B: y= 0.5x+ 0
C: y+2x+0
D: y=0.5x+4
The slope intercept form for D: y=0.5x+4
What is slope-intercept form?Slope-intercept form is a form of a linear equation, written as y = mx + b, where m is the slope, and b is the y-intercept.
This question is using the slope-intercept form of a linear equation, which is written as y = mx + b, where m is the slope and b is the y-intercept. In this case, the equation y=0.5x+4 is written in the slope-intercept form, with m = 0.5 and b = 4.
To solve this equation, we first need to identify the slope (m). In this case, the slope is 0.5. Then, we need to identify the y-intercept (b). In this case, the y-intercept is 4. Finally, we can use the slope and y-intercept to write the equation in the form of y = mx + b, which is y = 0.5x + 4.
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What’s the slope and y intercept for y-5=2(x-5)
The slope and y intercept for y-5=2(x-5) is 2 and -5 respectively.
What is Linear equation ?
Linear equation can be defined as the equation in which the highest degree is one.
Given
expression
y- 5 = 2(x-5)
y - 5 = 2x - 10
y = 2x+5-10
y = 2x-5
Its in the form of y = mx+c
where m is slope
and c is y intercept.
So,
From the equation ,
we can say that m = 2 that is slope = 2 and y intercept is -5.
Therefore, The slope and y intercept for y-5=2(x-5) is 2 and -5 respectively.
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what is the inequalitys to
7x+9=58
The solution to the inequality 7x + 9 ≤ 58 is given as follows:
x ≤ 7.
How to solve the inequality?The inequality for this problem is defined as follows:
7x + 9 ≤ 58.
Isolating the variable x, we have that:
7x ≤ 58 - 9
7x ≤ 49
x ≤ 49/7
x ≤ 7.
Meaning that the inequality is solved similarly to an equality, with the difference that a range of values is obtained instead of a single value.
Missing InformationThe problem asks for the solution to the inequality 7x + 9 ≤ 58.
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The science club surveyed 50 students about the number of science courses in which they were enrolled and the time it took them to complete their homework. Classify the random variables from the survey.
Number of science courses, continuous; time to complete homework, continuous
Number of science courses, continuous; time to complete homework, discrete
Number of science courses, discrete; time to complete homework, continuous
Number of science courses, discrete; time to complete homework, discrete
Unable to determine from information given
The correct answer is Number of science courses, discrete; time to complete homework, continuous.
Discrete data is a sort of numerical information that consists of full, concrete numbers with predetermined, set values that can be counted.
The number of science courses enrolled in is likely a whole number, making it a discrete random variable. On the other hand, the time it takes to complete homework could be any value within a continuous range, such as minutes or hours, so it is a continuous random variable.
Hence, the number of science courses is discrete and time to complete homework is continuous.
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A function is a rule that assigns each _____ exactly one ____.
Answer:
input, output
Step-by-step explanation:
A function is a rule that assigns each input exactly one output.
Some questions that have you check a list of points, a table of values, a graph or an equation, to figure out if its a function... you check to see if every x only has one y to go with it. This is what the vertical line test does also.
2. MODELING REAL LIFE A dumpster rental fee is $350 for
the first week and $10 for each additional day or any portion
of a day. Write and graph a step function that represents the
cost y (in dollars) to rent the dumpster for x days.
The graph is a step function with a horizontal jump at x=7, where the cost changes from $350 to $10 per day.
What is the Graph?
The graph of the step function that represents the cost of renting a dumpster for x days is a graph that shows how the cost of the rental changes based on the number of days. The x-axis represents the number of days, and the y-axis represents the cost in dollars.
To write the step function that represents the cost of renting a dumpster for x days, we can use the information provided in the problem statement. The cost for the first week is $350, and the cost for each additional day is $10.
We can write the step function as:
y = 350, if x <= 7
y = 350 + 10(x-7), if x > 7
In the first case, if x is less than or equal to 7 (i.e. within the first week), the cost is $350. In the second case, if x is greater than 7 (i.e. more than one week), the cost is $350 for the first week plus $10 for each additional day.
To graph the step function, we can start by plotting the two points on the graph:
(7,350) represents the point at which the cost changes from $350 to $10 per day
(x,y) = (7,350) + (x-7,10x-70)
The graph is a step function with a horizontal jump at x=7, where the cost changes from $350 to $10 per day.
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Priya thinks the answers to these two questions will be different. This month, a website had a 12% decrease in traffic. If there were 250 visitors last month, how many visitors were there this month? This month, another website had a 12% increase in traffic. If there were 250 visitors this month, how many visitors were there last month?
The number of customers are not exactly same in two cases.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is the -
This month, a website had a 12% decrease in traffic. There were 250 visitors last month.This month, another website had a 12% increase in traffic. There were 250 visitors this month.( 1 ) -Number of customers this month -
{x} = 250 - {12% of 250}
{x} = 250 - {12/100 x 250}
{x} = 250 - 12 x 2.5
{x} = 250 - 30
{x} = 220
( 2 ) -Number of customers last month -
250 = {x} + {12% of x}
250 = {x} + (12/100){x}
250 = {x} (1 + 3/25)
250 = {x} (28/25)
{x} = (250 x 25/28)
{x} = 223 {approx.}
Therefore, the number of customers are not exactly same in two cases.
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yesterday, you typed 8 pages in 48 minutes. Today, you typed 20 pages in 2 hours. plot the two points where x is the time in minutes and y is the number of pages
A plot of the two points, where x is the time in minutes and y is the number of pages is shown in the graph attached below.
How to plot the points?First of all, we would convert the value of time in hours to minutes as follows;
Conversion:
60 minutes = 1 hour.
x minutes = 2 hours.
Cross-multiplying, we have:
x minutes = 60 minutes × 2 hours
x minutes = 120 minutes.
In this scenario, the time in minutes would be plotted on the x-axis (x-coordinate) of the graph while the number of pages would be plotted on the y-axis (y-coordinate) of the graph.
Next, we would use an online graphing calculator to plot the points representing the time in minutes and the number of pages on a coordinate axes as shown in the image attached below.
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