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4 years ago

Rewrite the function c(x) =9(x+3) using the distributive property

Mathematics

1 answer:

tamaranim1 [39]4 years ago

5 0

C(x)=9x+27 is the function written using the distributive property

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1.What is the area of the circles<br><br> What is the area of the shaded region?

Rama09 [41]

Answer:

47.32 in^2

Step-by-step explanation:

Area rectangle = 21cm * 10.5cm = 220.5 cm^2

Area circle = pi*r^2

= Pi * 5.25^2

=( 86.59 in^2 )*2

= 173.18 in^2

Shaded region. 220.5 - 173.18 = 47.32 in^2

6 0

3 years ago

This diagram shows the aerial view of a playground. What is the area of the playground to the nearest square yard? Use the value

Travka [436]

Hello There!

The correct answer is D. 3554 square yards.

Hope This Helps You!
Good Luck :)

8 0

4 years ago

A straw is placed inside a rectangular box that is 2" x 6" x 8". If the straw fits exactly into the box diagonally from the bott

den301095 [7]

Answer: $10.2"$

Step-by-step explanation:

Given

The dimension of the rectangular box is $2"\times 6"\times8"$

If the Straw fits exactly into the box diagonally

So, the length of the longest diagonal of the rectangular box is equal to the length of the straw i.e.

$\Rightarrow l=\sqrt{2^2+6^2+8^2}\\\\\Rightarrow l=\sqrt{4+36+64}\\\\\Rightarrow l=\sqrt{104}\\\Rightarrow l=10.19\approx 10.2"$

4 0

3 years ago

List the names and corresponding speeds from least to greatest in miles per hour. Julie 62 miles per hour manalo 311,520 feet pe

Flauer [41]

1st: 311,520 feet per second
2nd: 62 miles per hour
3rd: 1,448 meters per minute

3 0

3 years ago

Read 2 more answers

A manager is comparing wait times for customers in a coffee shop based on which employee is

anyanavicka [17]

Using the t-distribution, as we have the standard deviation for the sample, it is found that there is a significant difference between the wait times for the two populations.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, we test if there is no difference, that is:

$H_0: \mu_A - \mu_B = 0$

At the alternative hypothesis, it is tested if there is difference, that is:

$H_1: \mu_A - \mu_B = 0$

<h3>What are the mean and the standard error of the distribution of differences?</h3>

For each sample, we have that:

$\mu_A = 73, s_A = \frac{2}{\sqrt{100}} = 0.2$

$\mu_B = 74, s_B = \frac{4}{\sqrt{100}} = 0.4$

For the distribution of differences, we have that:

$\overline{x} = \mu_A - \mu_B = 73 - 74 = -1$

$s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.2^2 + 0.4^2} = 0.447$

<h3>What is the test statistic?</h3>

It is given by:

$t = \frac{\overline{x} - \mu}{s}$

In which $\mu = 0$ is the value tested at the null hypothesis.

Hence:

$t = \frac{\overline{x} - \mu}{s}$

$t = \frac{-1 - 0}{0.447}$

$t = -2.24$

<h3>What is the p-value and the decision?</h3>

Considering a one-tailed test, as stated in the exercise, with 100 - 1 = 99 df, using a t-distribution calculator, the p-value is of 0.014.

Since the p-value is less than the significance level of 0.05, it is found that there is a significant difference between the wait times for the two populations.

More can be learned about the t-distribution at brainly.com/question/16313918

8 0

2 years ago