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Ierofanga [76]
3 years ago
5

What expressions are equivalent to z+(z+6)

Mathematics
1 answer:
lora16 [44]3 years ago
3 0
It would be the number 1 because this is using distributive property. You’re adding the z to both z and 6 separately.

It wouldn’t be number 2 because there’s only one 6. You don’t know the values of the z so you can’t put another 6. It wouldn’t be number 3 because the 30 comes out of nowhere. There’s only one known value in the equation.
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Grandma has just finished baking a large rectangular pan of brownies. She is planning to make rectangular pieces of equal size a
Nikitich [7]

Answer: 60

Step-by-step explanation:

Let the side lengths of the rectangular pan be m and n. It follows that (m-2)  (n-2)= mn/2

So, since haf of the brownie pieces are in the interior. This gives 2 (m-2) (n-2) =mn

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Then Adding 8 to both sides and applying, we obtain (m-2) (n-2) =8

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Suzanne drives 180 miles in 3 hours. What is her average speed in miles per hour?
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Step-by-step explanation:

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2 years ago
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

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<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}

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<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

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