Answer: We should reject the null if the test statistic is greater than <u>1.895</u>.
Step-by-step explanation:
We assume the population to be normally distributed.
Given: Sample size :
, which is asmall sample (n<30), so we use t-test.
We always reject the null hypothesis if the absolute t-value is greater than critical value.
Therefore, We should reject the null if the test statistic is greater than <u>1.895</u>.
Answer:
The complete question is:
Which expression below gives the average rate of change of the function g(x)= -x^2 - 4x on the interval 6 < x < 8
When we have a function f(x), the average rate of change of this function in the interval a < x < b is given by:

Then if we have the function g(x) = -x^2 - 4x
and we want to find the average rate of change in the interval 6 < x < 8 we need to compute:

Answer:
M1, A1, T1, H1, M5, A5, T5, H5
Step-by-step explanation:
So from each of the first branches, we would consider the sample space of choosing a letter from the word MATH. There would be 4 branched, with M, A, T, and H. From each of those, you would have to split them into 2 branches, one for the 1 and one for the 5, from the digits of 15. So you would end up with 8 total branches at the end.
Answer:

Step-by-step explanation:
Use Pythagorean theorem, where:

Substitute in the values.





