What is the equation of this line?

A. y=2x
B. y=-1/2x
C. y=1/2x
D. y=-2x

If we are to test for the equality of block effects (Drivers), then we will use F2 = MSRow /MSError.

To find the test statistic:

(Consider the table for variables and given data.)

Now, we are asked to only deal with finding the value of the test statistic for testing whether the average gas mileage is the same for the four car models.

That is testing for the equality of Population means and the test statistic for the analysis of variance is:

And the hypotheses are:

Decision Rule: Reject H0 if the calculated value of F1 is its critical value F,(c-1), (c-1)(r-1) Otherwise, accept H0.

Meanwhile, if we are to test for the equality of block effects (Drivers), then we will use F2 = MSRow /MSError.

Therefore, if we are to test for the equality of block effects (Drivers), then we will use F2 = MSRow /MSError.

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The complete question is given below:

A car dealer is interested in comparing the average gas mileages of four different car models. The dealer believes that the average gas mileage of a particular car will vary depending on the person who is driving the car due to different driving styles. Because of this, he decides to use a randomized block design. He randomly selects five drivers and asks them to drive each of the cars. He then determines the average gas mileage for each car and each driver. Can the dealer conclude that there is a significant difference in average gas mileages of the four car models? The results of the study are as follows. Average Gas Mileage Driver Car A Car B Car C Car D Driver 1 29 31 20 34 Driver 2 27 37 35 39 Driver 3 24 23 31 23 Driver 4 38 24 22 38 Driver 5 20 33 37 36 ANOVA Source of Variation SS df MS Rows 190.2000 4 47.5500 Columns 114.5500 3 38.1833 Error 534.2000 12 44.5167 Total 838.9500 19 Step 1 of 3: Find the value of the test statistic for testing whether the average gas mileage is the same for the four car models. Round your answer to two decimal places, if necessary.

Answer:

3.6h - 3.1d + 13

Step-by-step explanation:

Combine like terms. Like terms have same variables.

Like terms : (i) 6h and (-2.4h) (ii) -8.1d and 5d

6h + (-8.1d) - 13  + 5d - 2.4h = 6h - 2.4h + (-8.1d) + 5d - 13

             = (6 - 2.4)h + (-8.1 + 5)d - 13

             = 3.6h - 3.1d + 13

-30 is your answer.

Step by Step pictured below.

Answer:

12

Step-by-step explanation:

Type Into Calculator:

SAT-EDIT-TYPE IN X VALUES AND Y VALUES (FROM ORDERED PAIR)-STAT-CALC-4-ENTER

The decision at a 1% level of significance based on a p-value of 0.02303 is to reject the null hypothesis, indicating that we have strong evidence against it.

When performing a hypothesis test, the p-value represents the probability of observing the test statistic or a more extreme value under the assumption that the null hypothesis is true. In other words, it indicates the evidence against the null hypothesis.

A p-value less than the level of significance indicates strong evidence against the null hypothesis, and we reject the null hypothesis. On the other hand, a p-value greater than the level of significance indicates weak evidence against the null hypothesis, and we fail to reject the null hypothesis.

In this case, the p-value of 0.02303 is less than the level of significance of 1%. Therefore, we have strong evidence against the null hypothesis, and we reject the null hypothesis. This means that we have enough evidence to suggest that the alternative hypothesis is true.

It's important to note that rejecting the null hypothesis does not necessarily mean that the alternative hypothesis is true, but rather that we have enough evidence to suggest that it is.

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Answer:

13

Step-by-step explanation:

The difference between the x-values is 5.

The difference between the y-values is 12.

These are the non-hypotenuse sides.

12^2 + 5^2 = c^2

144 + 25 = c^2

169 = c^2

c = 13

The distance between the two points is 13.

Answer:

13 units

Step-by-step explanation:

(-1,5) and (4, -7)

To find the distance of two points, we use the distance formula:

\(d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }\)

Let's plug in what we know.

\(d = \sqrt{(4 - (-1))^2 + (-7 - 5)^2 }\)

Evaluate the double negative.

\(d = \sqrt{(4 +1))^2 + (-7 - 5)^2 }\)

Evaluate the parentheses.

\(d = \sqrt{(5)^2 + (-12)^2 }\)

Evaluate the exponents.

\(d = \sqrt{(25) + (144) }\)

Add.

\(d = \sqrt{(169) }\)

Evaluate the square root.

\(d = 13\)

13 units

Hope this helps!

To rank the cereals in order from least likely to be chosen to most likely to be chosen, we need to compare their probabilities. Here are the cereals ranked in order:

Bran O's (0.04): This cereal has the lowest probability of being chosen among the options provided.

Rice O's (8.9% or 0.089): This cereal has a higher probability than Bran O's but is lower than the remaining options.

Wheat O's (5/16 or 0.3125): This cereal has a higher probability than Rice O's but is lower than the remaining options.

Chocolate O's (3/10 or 0.3): This cereal has a higher probability than Wheat O's but lower than the last remaining option.

Corn O's (0.113): Among the given options, Corn O's has the highest probability and is the most likely to be chosen.

So, the cereals ranked from least likely to be chosen to most likely to be chosen are: Bran O's, Rice O's, Wheat O's, Chocolate O's, and Corn O's.

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The steps to condensing the expressions
2loga(4)+3loga(X-4)loga(4)

Log(x+3)+log(x-3) is given below.

To condense the   expressions, we can apply the  properties of logarithms. Here are the condensed forms of the given expressions.

2loga (4) + 3loga(X - 4) - loga 4 )  

By using the product and quotient rules of logarithms, we can simplify this expression as follows

2 loga( 4) + 3 loga( X-4) - log a(4)

= loga(4 ²) + loga((X-4)³) -  loga (4) = loga (16 ) + loga((X-4)³) - loga (4)

Combining the logarithms  using the power rule and quotient rule we have

= loga(16(X-4)³/4)

log(x+3) + log (x-3)

By using the product rule of logarithms, we can combine these logarithms

log (x +3) +log (x - 3) = log ((x +3 )(x -3 ))

Simplifying further, we get

= log (x² - 9 )

So this means that the condensed forms of the given expressions are

2loga( 4) + 3loga(X -4) - loga (4) = loga(16 (X-4) ³/4)

log (x+ 3) + log(x- 3) = log(x² - 9)

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Step-by-step explanation:

80()#-$/-38३८8३88353738३३

Answer:

Step-by-step explanation:

C(x) = 15            0 ≤ x ≤ 2

C(x) = 5x + 10    2 < x ≤ 6

C(x) = 50           x > 6

Step-by-step explanation:

Let's define

x: Gigabytes Used

C(x): Monthly Cost in dollars

The graph has three parts. In the first part, the cost has a constant value of 15. The closed circles indicate that endpoints (at 0 and 2) are included in this segment.

In the second part, a line (which pass through (2, 20) and (6,40)) is shown. Its parameters are:

slope = (40 - 20)/(6-2) = 5

y-intercept: 20 = 5*2 + b <=> b = 20 - 5*2 =  10

Therefore, the equation of the line is: y = 5x + 10

The open circle at the beginning of the line indicates that it is not present in the segment. The closed circle at the end of the line indicates that it is present in the segment.

In the third part, the cost has a constant value of 50. The open circle indicates that the endpoint (6,50) is not included in this segment.

In the study conducted by John Darley and Bibb Latané, the number of people present in the room with the participant served as an independent variable, as it was manipulated by the researchers to observe its effects on helping behavior.

Specifically, the researchers examined how the presence of other people in the room would affect whether or not the participant would choose to help in a given situation. By changing the number of people present in the room, the researchers were able to measure the effects of diffusion of responsibility on helping behavior.

Diffusion of responsibility is a phenomenon in which individuals are less likely to help a victim when they are in the presence of other people, as they assume that someone else will take responsibility. Therefore, the number of people present in the room was an important variable in the study, as it allowed the researchers to measure how the presence of others affected helping behavior.

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Margaret is incorrect because the given information does not include enough details to determine if the quadrilateral WXYZ is a parallelogram.

To prove that a quadrilateral is a parallelogram, the four sides must be equal in length and the opposite angles must be congruent. The given information does not include any measurements or angles, so it is not possible to determine if the quadrilateral is a parallelogram.

No, 144 inches of tape is not enough to finish the job. The hazard sign has two identical parallelogram-shaped stripes, and each stripe will require more than 144 inches of tape to outline. The area of a parallelogram can be calculated using the formula A = bh, where b is the base and h is the height. In order to determine how much tape is needed to outline the stripes, the base and height of the parallelograms must be known.

There is not enough information to prove that a quadrilateral is a parallelogram, as all four sides must be equal in length and the opposite angles must be congruent. Additionally, 144 inches of tape is not enough to outline the hazard sign's two identical parallelogram-shaped stripes, as the base and height of the parallelograms must be known in order to calculate the area.

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Answer:

I'm not sure this is an IQ question or not, but logically:

If (− 1 3 ) + 7 = 4, then (− 1 3 ) = 4 - 7 = -3

=> ( 1 3) = 3

=> (1 3) + 6 = 3 + 6 = 9

Hope this helps!

:)

1) the displacement of the particle over the interval [0, 2] is 2 meters.

2) the total distance traveled by the particle over the interval [0, 2] is 4 meters.

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Question 1: To compute the displacement of the particle over [0, 2], we need to find the net change in position. The displacement can be calculated by integrating the velocity function over the given interval.

Given velocity function v(t) = 3t² - 2t - 1, we integrate it with respect to t over the interval [0, 2]:

Displacement = ∫[0 to 2] v(t) dt

Let's calculate the integral:

Displacement = ∫[0 to 2] (3t² - 2t - 1) dt

To find the antiderivative, we integrate each term separately:

Displacement = ∫[0 to 2] (3t²) dt - ∫[0 to 2] (2t) dt - ∫[0 to 2] (1) dt

Simplifying further:

Displacement = [t³] evaluated from 0 to 2 - [t²] evaluated from 0 to 2 - [t] evaluated from 0 to 2

Displacement = (2³) - (2²) - (2) - ((0³) - (0²) - (0))

Displacement = 8 - 4 - 2 - (0 - 0 - 0)

Displacement = 8 - 4 - 2

Displacement = 2 meters

Therefore, the displacement of the particle over the interval [0, 2] is 2 meters.

Question 2: To compute the total distance traveled by the particle over [0, 2], we need to find the sum of the absolute values of the velocity function integrated over the given interval.

Given velocity function v(t) = 3t² - 2t - 1, we integrate the absolute value of the velocity function over the interval [0, 2]:

Total Distance = ∫[0 to 2] |v(t)| dt

Let's calculate the integral:

Total Distance = ∫[0 to 2] |3t² - 2t - 1| dt

To find the integral, we consider different cases based on the sign of the velocity function within the interval [0, 2].

Case 1: When v(t) ≥ 0

Within the interval [0, 2], the velocity function 3t² - 2t - 1 is positive or zero. So we can directly integrate it:

∫[0 to 2] (3t² - 2t - 1) dt

Using the same steps as in Question 1, we find the integral to be (2 meters).

Case 2: When v(t) < 0

Within the interval [0, 2], the velocity function 3t² - 2t - 1 is negative. To consider the absolute value, we negate the velocity function:

∫[0 to 2] -(3t² - 2t - 1) dt

Using the same steps as in Question 1, we find the integral to be (-2 meters).

Total Distance = |2 meters| + |-2 meters| = 2 meters + 2 meters = 4 meters

Therefore, the total distance traveled by the particle over the interval [0, 2] is 4 meters.

Hence, 1) the displacement of the particle over the interval [0, 2] is 2 meters.

2) the total distance traveled by the particle over the interval [0, 2] is 4 meters.

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Answer:

ima say this in baby words bcz i dont know how to explain it otherwise sorry lol

fractions are part of an object or sum and a ratio are things comparedish?

Step-by-step explanation:

ratio: 3:4

fraction: 2/8

Answer:

ratios is like part of something i think like 1:3 = 1/3 and fractions can be divided unlike ratios

Step-by-step explanation:

Answer: The number is \(x=8\)

Step-by-step explanation:

Since decreasing the product of 12 and a number x by 36 results in 60, it follows:

\(12x-36=60\\12x=60+36\\12x=96\\x=\frac{96}{12}=8\)

So, the number is \(x=8\)

The chances of picking two of the same candy without looking in the basket and without replacing the candy is approximately 0.132.

To calculate the probability, we need to consider the number of each candy type in the basket. There are 5 KitKats, 6 Reese's, and 10 Almond Joys, making a total of 21 candies. Without replacement means that once a candy is chosen, it is not put back into the basket.

Let's break down the probability calculation. We have three scenarios where we can pick two of the same candy: picking two KitKats, picking two Reese's, or picking two Almond Joys.

The probability of picking two KitKats can be calculated as (5/21) * (4/20) = 1/21.

Similarly, the probability of picking two Reese's is (6/21) * (5/20) = 1/14.

Lastly, the probability of picking two Almond Joys is (10/21) * (9/20) = 3/14.

To find the overall probability, we sum up the probabilities of the three scenarios: 1/21 + 1/14 + 3/14 = 11/84 ≈ 0.131.

Rounding to the nearest thousandths, the probability is approximately 0.132.

Therefore, the chances of picking two of the same candy without looking in the basket and without replacing the candy is approximately 0.132 or 13.2%.

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Answer:

hamburger

Step-by-step explanation:

9.24÷7=1.32

8.28÷6=1.38

the hamburger is lower than the hot dog

The food which has the lower unit price is hamburgers which costs $1.32 per unit.

Given that, at a restaurant 6 hot dogs cost $8.28 and 7 hamburgers cost $9.24.

A unit price is the price for one item or measurement, such as a pound, a kilogram, or a pint, which can be used to compare the same type of goods sold in varying weights and amounts. Multiple pricing is selling two or more of the same item at a price that is lower than the unit price of a single item.

Unit price of hot dogs = 8.28/6

= $1.38

Unit price of hamburgers = 9.24/7

= $1.32

Therefore, the food which has the lower unit price is hamburgers which costs $1.32 per unit.

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Answer:

(21, 4)

Step-by-step explanation:

x+y=25

3x-2y=55

3x+3y=75

3x-2y=55

5y=20

y=4

x+4=25

x=21

FIRST ONE b SECOND d

Step-by-step explanation:

Answer:

first one is b and the second is d

Step-by-step explanation:hope this helped have a great day (;

There is no difference in popularity between men and women If p-value is less than predetermined significance level, we reject null hypothesis and conclude there is evidence of  significant difference in popularity.

To determine if there is a significant difference in popularity between men and women, we can perform a hypothesis test using the sample data. Let's use StatCrunch to analyze the data.

1. Open StatCrunch and enter the data for the men and women in separate columns. For example, you can label one column "Men" and enter the value 44 for 44% of men favoring the candidacy, and label another column "Women" and enter 52 for 52% of women favoring the candidacy.

2. Go to the "Start" menu, select "Proportion Stats," and choose "Two Sample > Difference."

3. In the dialog box, select the columns for men and women as the samples. Keep the other options as the default unless you have specific requirements.

4. Click on "Compute!" to obtain the results. Look for the p-value associated with the hypothesis test.

The p-value represents the probability of observing a difference as extreme as the one in the sample, assuming there is no difference in popularity between men and women. If the p-value is less than a predetermined significance level (e.g., 0.05), we can reject the null hypothesis and conclude that there is evidence of a significant difference in popularity.

Please note that the above steps provide a general guideline for conducting the analysis in StatCrunch. The actual steps may vary depending on the version and setup of StatCrunch you are using.

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The variance of the distribution is given as follows:

Var(X - Y + 5) = -5.

When two variables are added or subtracted, the variances of the variables are also added or subtracted.

Hence:

Var(X - Y + 5) = Var(X) - Var(Y) + Var(5).

The variance of a constant is of zero, hence:

Var(5) = 0.

Thus:

Var(X - Y + 5) = Var(X) - Var(Y).

Replacing the numeric values of each variance, we have that:

Var(X - Y + 5) = 3 - 8

Var(X - Y + 5) = -5.

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Answer:

a right angle is an angle of exactly 90° (degrees) .

Step-by-step explanation:

Answer:

it always has a right corner or in other words it has at least one right 90 degree angle

Step-by-step explanation:

The change received by Chloe after paying a $20 bill for ribbons is $3.2.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given is the table that represents the cost per yards of the ribbons.

From the question, we can write -

Ribbon       Cost per Yard ($)

Chiffon                 5.88

Satin                     1.50

Lace                     3.29

Tulle                     2.25

Cost of one yard of satin ribbon → $1.50.

Then, the cost of 5.5 yards of satin ribbon [A1] → 5.5 x 1.50 = $8.25.

Cost of one yard of tulle ribbon → $2.25.

Then, the cost of 3.8 yards of tulle ribbon [A2] → 3.8 x 2.25 = $8.55.

Total cost of both the Ribbons → A1 + A2 = 8.25 + 8.55 = $16.8.

Money paid by Chloe → $20

Change received by Chloe → 20 - 16.8 = $3.2

Therefore, the change received by Chloe after paying a $20 bill for ribbons is $3.2.

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Answer:

A; scale = 1/4, length = 1, height = 3/4.

B; scale = 2.5, length = 5, height = 15.

C; scale = 3, length = 6, height = 6.

Step-by-step explanation:

for A.

if one scale which means length of one small square is 1/4. we can see that the base of A has 4 scales with a value of 1/4. so to get the length you multiply the scale which is number of scales in the base which 4 if you look at the base. 1/4 x 4 is 1. to find height you multiply the scale with the number of scales upward which you can see has 3 scale so height is 1/4 x 3 = 3/4. you apply the same method to the other two to get the answer.

Answer:

96 cm

53 cm

4,5 Cm

1,5 Cm

1.7dm

0,5m

Step-by-step explanation:

Dm to Cm ×10

mm to cm ÷10

Answer:

i cant see the choices but i think this is khan academy

Step-by-step explanation:

A.

By using distributive property you can figure out all the answers.

A: 4*3a, 4*2= 12a + 8

B: 4*3a, 4*8= 12a + 32

C: 6*6a, 6*2= 36a + 12

D: 6*6a, 6*8= 36a + 48

Answer:

a =-2/3

Step-by-step explanation:

I can't see the answer choices but I'm going to try helping you.

12a + 8 is like a two step equation make it equal to zero

12a + 8 = 0

Subtract 8 on each side

12a = -8

Now divide by 12 on each side

a = -2/3

Hope this helps!

Answer:

Explanation: