What is 2( 5x + 5) using the distributive property

2 answers:

8 0

You must distribute the first number to the others, 2*5x, ignore the x and add it at the end, 10x. then distribute 2 to the 5 which is also 10. giving you a final answer of 10x+10, keep the same symbol that is separating the numbers in parenthesis

ratelena [41]2 years ago

6 0

2 x 5x= 10x
5x2=10
The final equation is 10x+10

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Claim: High school teachers have incomes with a standard deviation that is more than $17, 500. A recent study of 136 high scho

Scilla [17]

Answer:

Part a

For this case the claim is:

$\sigma >17500$

And that represent the alternative hypothesis.

Part b: Null and alternative hypothesis

On this case we want to check if the population deviation is higher than 17500, so the system of hypothesis would be:

Null Hypothesis: $\sigma \leq 17500$

Alternative hypothesis: $\sigma >17500$

Calculate the statistic

For this test we can use the following statistic:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

$\chi^2 =\frac{136-1}{17500^2} 18500^2 =150.869$

Step-by-step explanation:

Notation and previous concepts

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

$n=136$ represent the sample size