which of the following is a composite number that is divisible by both 3 and 5? a. 116 b. 135 c. 1025 d. 1546

She has 25 students and cupcakes are sold 6 in a package. How many packages needed to buy?

Aliun [14]

5 packages. 4 is one cupcake short.

6 0

3 years ago

Find the P-value for a test of the claim that more than 60% of the people following a particular diet will experience increased

lina2011 [118]

Answer:

The p-value of the test is 0.0207.

Step-by-step explanation:

Test of the claim that more than 60% of the people following a particular diet will experience increased energy (H1: p > 0.6).

The null hypothesis is:

$H_0: p = 0.6$

The alternate hypothesis is:

$H_1: p > 0.6$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.6 is tested at the null hypothesis:

This means that $\mu = 0.6, \sigma = \sqrt{0.6*0.4}$

Of 100 randomly selected subjects who followed the diet, 70 noticed an increase in their energy level.

This means that $n = 100, X = \frac{70}{100} = 0.7$

Test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.7 - 0.6}{\frac{\\sqrt{0.6*0.4}}{\sqrt{100}}}$

$z = 2.04$

P-value of the test:

The p-value of the test is the probability of finding a sample proportion of at least 0.7, which is 1 subtracted by the p-value of z = 2.04.

Looking at the z-table, z = 2.04 has a p-value of 0.9793

1 - 0.9793 = 0.0207

The p-value of the test is 0.0207.

4 0

2 years ago

What are the dimensions of the product

iogann1982 [59]

Answer:

Step-by-step explanation: Product is the first and the foremost element of marketing-mix. If the product itself is defective no other element can improve its performance.

A firm expresses itself through its products and services. Therefore, planning and development of products is a vital issue in business.

5 0

3 years ago

Malik works at a hardware store for $12 per hour and as a lifeguard for $18 per hour. He needs to earn at least $280 per week, b

Arte-miy333 [17]

Answer:

The system of inequalities is equal to

$12x+18y\geq280$

$x+y\leq 20$

Step-by-step explanation:

Let

x-----> the number of hours that Malik works at a hardware store

y-----> the number of hours that Malik works as a lifeguard

we know that

$12x+18y\geq280$ -----> inequality A

$x+y\leq 20$ -----> inequality B

Using a graphing tool

The solution is the shaded area

see the attached figure

8 0

3 years ago

You are designing a circular path surrounding a circular pond. The pond has a diameter of 90 feet. The path is 15 feet wide. (th

belka [17]

Answer:

The area of the path is 11,304 square feet.

Step-by-step explanation:

Please see the attached files for details

5 0

3 years ago