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2 years ago

Penny is making a square tablecloth that has an area of 49 square feet. What is the length of one of its sides?

1 answer:

7 0

Since the tablecloth is a square, all of the sides are the same length so just square root the area.

√49 = 7

The side lengths are 7 feet for each side.

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Consider the following scenario describing the Cambridge Mall parking lot: The number of wheels in the parking lot is based on t

emmasim [6.3K]

The correct answer would be Yes, because the number of wheels in the parking lot is specific to the number of cars in the parking lot.

5 0

3 years ago

Based on information from Consumer Reports, a random sample of 35 thirty-gram cookies had a sample mean of 146 calories. The sta

Nonamiya [84]

Using the z-distribution, it is found that the 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.

The information given is:

Sample mean of $\overline{x} = 146$ .

Population standard deviation of $\sigma = 12$ .

Sample size of $n = 65$ .

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The critical value, using a z-distribution calculator, for a 95% confidence interval is z = 1.645, hence:

$\overline{x} - z\frac{\sigma}{\sqrt{n}} = 146 - 1.645\frac{12}{\sqrt{35}} = 143$

$\overline{x} + z\frac{\sigma}{\sqrt{n}} = 146 + 1.645\frac{12}{\sqrt{35}} = 149$

The 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

A similar problem is given at brainly.com/question/16807970

8 0

2 years ago

X is greater than 3 and less than 9

goblinko [34]

Answer:

answer can vary

Step-by-step explanation:

it can be 4,5,6,7,8

7 0

2 years ago

Read 2 more answers

The following table contains ACT scores and GPA (grade point average) scores for 8 college students. (The ACT is an SAT-type tes

Savatey [412]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

ACT (X) :

GPA (Y) :

2.8

3.4

3.0

3.5

3.6

3.0

2.7

3.7

Relationship between GPA and ACT using a linear regression calculator :

ŷ = 0.1022X + 0.56813

Slope = 0.1022

Intercept = 0.56813

The relationship between GPA and ACT is in the positive direction, this can be inferred from the slope value which is positive

The intercept value ; 0.56813 means with a GPA score of 0 ; predicted ACT score will be 0.56813

Explain. How much higher is the GPA predicted to be if the ACT score increases by 5 points?

If ACT score increases by 5 ; predicted GPA will be:

Increase = 0.1022(5)

ACT score will increases by 0.511

ii) Compute the fitted values and the residuals for each observation and verify that the residuals sum to zero.

y = 0.1022(21) + 0.56813 = 2.71433

y = 0.1022(24) + 0.56813 = 3.02093

y = 0.1022(26) + 0.56813 = 3.22533

y = 0.1022(27) + 0.56813 = 3.32753

y = 0.1022(29) + 0.56813 = 3.53193

y = 0.1022(25) + 0.56813 = 3.12313

y = 0.1022(30) + 0.56813 = 3.63413

Residual:

2.8 - 2.71433 = 0.08567

3.4 - 3.02093 = 0.37907

3.0 - 3.22533 = −0.22533

3.5 - 3.32753 = 0.17247

3.6 - 3.53193 = 0.06807

3.0 - 3.12313 = −0.12313

2.7 -3.12313 = −0.42313

3.7 - 3.63413 = 0.06587

0.08567+0.37907−0.22533+0.17247+0.06807−0.12313−0.42313+0.06587 = −0.00044 = 0.00

iii) What is the predicted value of GPA when ACT = 20?

ŷ = 0.1022(20) + 0.56813

= 2.61

5 0

2 years ago

I don’t really understand these types of problem ???

Afina-wow [57]

The answer would be A

5 0

2 years ago

Read 2 more answers