If the coefficient of correlation is -.4, then the slope of the regression line

a.
must also be -.4.

b.
can be either negative or positive.

c.
must be negative.

d.
must be .16

Answer:1 tile 2 box 2 tile 1 box 3 tile 5 box 4 tile 6 box 6 tile 4 box

Step-by-step explanation: math

The ascending order of increasing functions are,

y = (3/4)x - 10 < y = (1/2)x - 2 < y = (4/3)x - 7/3 < y = (3/2)x - 11/2

< y = (5/2)x + 10.

The equation of a line in slope-intercept form is y = mx + b.

Where slope = m and b = y-intercept.

The y-intercept, or (0,b), is the point where the line crosses the y-axis at x = 0. The slope represents the rate of change of the y-axis relative to the x-axis.

When the equation of the form y = mx + b, the slopes of the function can be used to sort them in ascending order.

The equations in ascending order are,

y = (3/4)x - 10 < y = (1/2)x - 2 < y = (4/3)x - 7/3 < y = (3/2)x - 11/2

< y = (5/2)x + 10.

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Answer:

198 in²

Step-by-step explanation:

triangle (A=1/2)bh [A=1/2(22×8)] b=22 H=8

rectangle (A=bh) [A= 22×5] B=22 H=5

triangle = 88

rectangle = 110

So, 88+110 = 198

The estimate for the area under the graph of \(f(x) = x^2 + 4x\) from x = 5 to x = 11 using 3 approximating rectangles and left endpoints is 478

Let's calculate the width of each rectangle first. Since we have three subintervals of equal length, the width of each rectangle is (11 - 5) / 3 = 2.

Next, we'll find the left endpoints of each subinterval to determine the heights of the rectangles. The left endpoint of the first subinterval [5, 7] is x = 5, the left endpoint of the second subinterval [7, 9] is x = 7, and the left endpoint of the third subinterval [9, 11] is x = 9.

Now, we can calculate the heights of the rectangles by substituting the left endpoints into the function\(f(x) = x^2 + 4x.\) For the first rectangle, with x = 5, the height is f(5) = \(5^2 + 4(5) = 25 + 20 = 45.\)

For the second rectangle, with x = 7, the height is \(f(7) = 7^2 + 4(7) = 49 + 28 = 77\). For the third rectangle, with x = 9, the height is \(f(9) = 9^2 + 4(9) = 81 + 36 = 117.\)

Now, we can calculate the area of each rectangle by multiplying the width and height of each rectangle. For the first rectangle, the area is 2 * 45 = 90 For the second rectangle, the area is 2 * 77 = 154. For the third rectangle, the area is 2 * 117 = 234.

Finally, we can estimate the area under the graph of \(f(x) = x^2 + 4x\) from x = 5 to x = 11 by summing up the areas of the three rectangles: Estimated area = 90 + 154 + 234 = 478.

Therefore, the estimate for the area under the graph of \(f(x) = x^2 + 4x\)from x = 5 to x = 11 using 3 approximating rectangles and left endpoints is 478

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Answer:

0

Step-by-step explanation

Because sin 0 = cos 0 when 0 = 0 degrees because it wouldn't change it would stay the same so it's just 0 cause it's to the 0 power.

undergoesAssuming the initial coordinate of the reference point is -4, 6

After translation (x +7 , y - 12)

The new position of the point will be (3, -6), that is it has been shifted to right 7 units and downward 12 units

Then it undergo a rotation counter-clockwise by 90 degrees

This transformation will make the coordinate be ( -6, -3 )

Thereafter it is translated by (x +5, y+ 3) (shifted to the right 5 units and upward 3 units)

The present position of the point is ( -1, 0)

Therefore

(x , y ) ----------> (-1 , 0 )

The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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In linear regression, we are trying to forecast the dependent variable based on the independent variable.

Option C is the correct answer.

We have,

In linear regression, the dependent variable is the outcome variable or the response variable that we want to predict or explain, while the independent variable is the predictor variable or explanatory variable that helps us in predicting the dependent variable.

The beta parameter and y-intercept are coefficients of the linear regression equation that help in determining the relationship between the dependent and independent variables.

Thus,

In linear regression, we are trying to forecast the dependent variable based on the independent variable.

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Answer:

-1/4x-2

Step-by-step explanation:

Let's combine the like terms!

2 1/2 is equal to 5/2, so we can express the expression like this

(5/2x-11/4x)+(-7+5)

If we solve the first parentheses, we get 10/4x-11/4x=-1/4x

The second parentheses are obviously -2

Therefore, the answer is -1/4x-2.

Feel free to tell me if I did anything wrong! :)

The mean of the temperatures shown is -39.4°F.

What is the mean temperature?

The average mean air temperature throughout a specific time period, typically a day, a month, or a year, as measured by a thermometer that has been properly exposed. The mean temperature is often calculated for the year and for each month in climatological tables.

Date:   Low temperature:

January 1   -42°F

January 2 -31°F

January 3  -40°F

January 4  -40°F

January 5  -44°F

Mean = Total sum of all 5 days temperature / total number of days

Mean = -42  - 31 - 40 - 40 - 44 / 5

= -197 / 5

= - 39.4°F

Hence, the mean of the temperatures shown is -39.4°F.

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you can easily solve it by equating the fractions 4/13 and x/91

here, we suppose x as the number of people who can bowl.

4/13=x/91

or, 4/13×91=x (divide 91 by 13)

or, x=4×7

therefore, x=28

easy peesy lemon squeezy ;-)

Answer:

10x + 15y = 450

Step-by-step explanation:

A store sells bracelets for $10 and rings for $15.

Sold 30 items.

They counted the money they made $450.

x = bracelets

y = rings

10x + 15y = 450

The table of values and the linear equations indicates

4. Andy is correct, the equation of the table of values is; y = 2·x + 4

5. The Three equations are the same

A linear equation is an equation that produces a straight line graph, when plotted on the coordinate plane and can be expressed in the form; y = m·x + c

Where;

m = The slope of the straight line graph of the equation

c = The y-intercept

4. The values in the table indicate that the difference between consecutive terms in the x-values and the first difference in the y-value is constant, therefore, the values represent a linear relationship.

The slope, m, of the linear relationship is constant and it can be found using any two pair of points as follows;

m = (4 - 2)/(0 - (-1))  = 2

The equation is therefore;

y - 2 = 2·(x - (-1)) = 2·(x + 1) = 2·x + 2

y = 2·x + 2 + 2 = 2·x + 4

The equation, y = 2·x + 4 is in the form y = m·x + c, therefore;

Andy is correct

5. The slope-intercept form of the equation of a straight line is; y = m·x + c

Therefore;

y + 1 = 2·x -3

y + 1 - 1 = 2·x - 3 - 1 (subtraction property)

y = 2·x - 4

The equation, y = 2·x - 4, is in the form, y = m·x + c

2·x - 3 = y + 1

2·x - 3 - 1 = y + 1 - 1 (subtraction property)

2·x - 4 = y

y = 2·x - 4 (symmetric property)

The equation, y = 2·x - 4 is in the form, y = m·x + c, which is the same as the first equation

2·y + 2 = 4·x - 6

2·y + 2 - 2 = 4·x - 6 - 2 (subtraction property of equality)

2·y = 4·x - 8

2·y ÷ 2 = (4·x - 8) ÷ 2 (division property)

y = 2·x - 4

The above equation is the same as the first two equations, therefore, the equations are the same

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Answer:

see below

Step-by-step explanation:

The mean is the sum of all the terms divided by the number of terms

The median is the middle number  when the terms are arranged smallest to largest

The mode is the number that appears most often ( most frequently)

Answer:

Median: C

Mode: B

Mean: A

Step-by-step explanation:

Answer: (d)- 1.76 kg

Step-by-step explanation:

Given

The first laptop mass was 11 kg

The rate of mass decreases by 4.7% per year

In 1982, it was

\(\Rightarrow 11-11\times 4.7\%=11-11\times 0.047\\\Rightarrow 11(1-0.047)\ kg\)

In 1983, it was

\(\Rightarrow 11(1-0.047)-11(1-0.047)\times 0.047=11(1-0.047)^2\)

In 2019 i.e. after 38 years, it is

\(\Rightarrow 11(1-0.047)^38=11\times 0.953^{38}=1.76\ kg\)

Explanation:

The Conditional reasoning and logical equivalence of the statements could read;

1. If the investigation continues, then new evidence is brought to light.

C ⇒ N

2. If new evidence is brought to light, then several leading citizens are implicated.

N ⇒ I

3. If several leading citizens are implicated, then the newspapers stop publishing the case.

I ⇒ S

4. If continuation of the investigation implies that the newspaper stop publicizing the case, then the bringing to light of new evidence implies that the investigation continues.

C ⇒ S: ⇒ N ⇒ C

5. The investigation does not continue. Therefore, new evidence is not brought to light.

not C ⇒ not N

The statement about the hyperbola is true is D. the point (−2, 0) is a vertex.

It should be noted that a hyperbola simply means an open curve that has two branches and usually symmetric.

In this case, the statement about the hyperbola is true is that the point (−2, 0) is a vertex.

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If we randomly select 62 travel mugs and measure the amount of soft drink dispensed in each mug, the sample mean will be within 0.5 ounces of the population mean with 95% confidence.

To determine the number of travel mugs required for the study, we need to use the formula for sample size determination for means. The formula is:

n = (Z^2 * σ^2) / E^2

Where:

n = sample size

Z = Z-score for the desired confidence level (e.g., 1.96 for 95% confidence level)

σ = standard deviation of the population

E = desired margin of error (i.e., the maximum difference between the sample mean and the population mean)

In this case, we are given that the standard deviation of the soft drink dispensed is 2.0 ounces and we want the sample mean to be within 0.5 ounces of the population mean. Let's assume a 95% confidence level, which corresponds to a Z-score of 1.96. Plugging in the values, we get:

n = (1.96^2 * 2^2) / 0.5^2 = 61.6

We need to round up to the nearest whole number, so the final sample size should be 62 travel mugs. The larger the sample size, the smaller the margin of error will be, but it also means more time and resources required for the study.

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Complete question is:

a baseball parkamount of soft drink dispensed is normally distributed with standard deviation 2.0 ounces. how many travel mugs should be included in a study if it is desiredthat the sample mean soft drink dispensed be within 0.5 ounces of the population mean with 95% confidence.

Answer: x = -4 and x = 2.

To factor a quadratic equation in the form of x^2 + bx + c = 0, we need to find two numbers that when multiplied together, give us c, and when added or subtracted, give us b.

We need to find two numbers whose product is -8 and whose sum is 2. These numbers are 4 and -2, so we can write:

x^2 + 2x - 8 = (x + 4)(x - 2) = 0

Setting each factor to zero, we get:

x + 4 = 0 or x - 2 = 0

Solving for x in each equation, we get:

x = -4 or x = 2

So, the solutions to the equation x^2 + 2x - 8 = 0 are x = -4 and x = 2.

Answer:

2:1

Step-by-step explanation:

We know

To get from F to G, we have to go from -2 to 2, for which the length is 4.

To get from F' to G', we have to go from -2 to 0, for which the length is 2.

What is the ratio of the sides from the big to the small rectangle?

The ratio is 4:2 = 2:1

The equaiton of the line is y = (5/6)x + 7/2. Then the slope of the line is 5/6.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The two points are (9, 11) and (3, 6).

The equation of the line that passes through (9, 11) and (3, 6) will be given as,

(y - 6) = [(11 - 6) / (9 - 3)](x - 3)

y - 6 = (5/6)(x - 3)

y - 6 = (5/6)x - 5/2

y = (5/6)x + 7/2

The equaiton of the line is y = (5/6)x + 7/2. Then the slope of the line is 5/6.

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The Sun transfer its energy to areas A and B by radiation.

The statement compares how much heat is absorbed

by areas A and B : Area A absorbs more heat.

The statement compares the temperatures of areas A

and B : Area A is warmer than area B.

Energy transfer by radiation is a way that energy travels through space without anything touching it. Just like the Sun sends energy to Earth without touching it. The Sun sends energy to Earth in the form of light and heat. This energy travels through the empty space between the Sun and Earth and reaches our planet. When this energy reaches the Earth, it helps plants grow, warms the air and water, and helps create the weather.

Heat absorption is the process by which an object or material takes in or absorbs heat energy from its surroundings. This can happen in a variety of ways, including conduction, convection, and radiation.

The temperature in different areas is determined by a complex interplay of factors, including latitude, altitude, proximity to bodies of water, and local weather patterns. Understanding these factors can help us make predictions about future temperatures and prepare for potential climate change.

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The result of the double integral is given as follows:

\(\int \int_R 8x(1 + xy) dA = 937\)

The double integral is solved in two steps, first the inner integral is solved, and then the result of the inner integral is used to calculate the outer integral.

Considering the regions of x and y, the complete integral in this problem is defined as follows:

\(\int_{0}^{8} \int_{0}^1 8x(1 + xy) dydx\)

Then the inner integral is given as follows:

\(I = \int_{0}^1 8x(1 + xy) dy\)

As the integral is relative to y, the variable x is treated as a constant, hence:

\(I = 8xy + 4x^2y^2|_{y = 0}^{y = 1}\)

Applying the Fundamental Theorem of Calculus, the result of the inner integral is given as follows:

I = 8x(1) + 4x²(1)² - 8x(0) - 4x²(0)²

I = 8x + 4x².

Then the outer integral, which is solved to obtain the result of the complete integral, is solved as follows:

\(O = \int_{0}^{8} 8x + 4x^2 dx\)

Then:

O = 4x² + 1.33x³, from x = 0 to x = 8.

At x = 0, it has a result of 0, hence the result is given as follows:

O = 4(8)² + 1.33(8)³ = 937.

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Answer:

5

Step-by-step explanation:

In the question it states that in each year the number of rabbits increase by (2) of which is represented by the word (doubled) and so this will solve this question horizontally

note that (Y) represents year

First Year =10 rabbits

Second Year=20

Third Year =40

Fourth Year =80

Fifth Year =160

Answer:

6 and 102 = 62

119 and 23 = 38

96 and 51 = 33

28 and 87 = 65

Step-by-step explanation:

just did mine :D