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3 years ago

The perimeter of a square is 12x - 8. Which of the following is the length of

Mathematics

1 answer:

Andrei [34K]3 years ago

3 0

Answer:

3x-2

Step-by-step explanation:

12x-8/4 = 3x-2 is one side length of a square

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If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third sid

slamgirl [31]

There are two answers:

B) 5

C) 8

==============================================

Explanation:

If we had a triangle with sides a, b and c, then we can say

b-a < c < b+a

where b is larger than 'a'. This is the triangle inequality theorem

In this case, a = 5 and b = 9 so,

b-a < c < b+a

9-5 < c < 9+5

4 < c < 14

Telling us that c is some number between 4 and 14, not including either endpoint. If c is a whole number, then c could be any value from this set: {5,6,7,8,9,10,11,12,13}

We see that the numbers 5 and 8 are in this set. The values 3 and 15 are not in the set.

3 0

3 years ago

The mean annual consumption of beer per person in the US is 22.0 gallons. A random sample of 300 Washington D.C. residents yield

Readme [11.4K]

Answer:

$z=\frac{27.8-22}{\frac{55}{\sqrt{300}}}=1.83$

Step-by-step explanation:

Data given and notation

$\bar X=27.8$ represent the sample mean

$\sigma=55$ represent the population standard deviation

$n=300$ sample size

$\mu_o =22$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is equal to 22, the system of hypothesis would be:

Null hypothesis: $\mu = 22$

Alternative hypothesis: $\mu \neq 22$

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{27.8-22}{\frac{55}{\sqrt{300}}}=1.83$

7 0

3 years ago

Write 5.9/100 as a percent

leonid [27]

Here is your answer:

<span>5.9/100 * 100 = 0.059
0.059 * 100 = 5.9%
=5.9%

Therefore the answer is "5.9%."

Hope this helps!</span>

5 0

4 years ago

If Ross earns a 5% commission on what he sells, how much he earn on $60.

Studentka2010 [4]