In a one-tail hypothesis test where you reject h0 only in the upper tail
-1.2910 is the p-value.
A p-value is a statistical measure used to test a hypothesis against observed data. The p-value measures the probability of getting the observed result given that the null hypothesis is true. The lower the p-value, the higher the statistical significance of the observed difference.
For null hypothesis significance tests, the p-value is the probability of obtaining an extreme test result that is at least as extreme as the actually observed result, given that the null hypothesis is true.
Learn more about p-value here: brainly.com/question/4621112
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Answer: 126 milligrams
Step-by-step Easy to answer but all your doing is converting your mg's and 35% into decimals. and you will get your answer
Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals is (195.3, 215.7).
<h3>What is a t-distribution confidence interval?</h3>
The confidence interval is:

In which:
is the sample mean.- t is the critical value.
- n is the sample size.
- s is the standard deviation for the sample.
From the sample and the significance level of 0.05, we have that the parameters are given by:

Hence:


The 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals is (195.3, 215.7).
More can be learned about the t-distribution at brainly.com/question/16162795
Multiply the first bracket by 6.
Multiply the second bracket by 8
6(x+1)-5x= 8+2(x-1)
6(x)+6(1)-5x= 8+2(x)+2(-1)
6x+6-5x= 8+2x-2
6x-5x+6= 8-2+2x
x+6= 6+2x
Move +2x to the other side. Sign changes from +2x to -2x.
x-2x+6= 6+2x-2x
-x+6= 6
Move +6 to the other side. Sign changes from +6 to -6.
-x+6-6= 6-6
-x=0
Multiply by -1 for -x and 0
-x(-1)= 0(-1)
x= 0
Answer: x= 0
Answer:
The average rate of change of rainfall in the rainforest between 2nd year and 6th year = <u>3 inches</u>
Step-by-step explanation:
Given function representing inches of rainfall:

To find the average rate of change between the 2nd year and the 6th year.
Solution:
The average rate of change between interval
is given as :

For the given function we need to find the average rate of change between 2nd year and 6th year. ![[2,6]](https://tex.z-dn.net/?f=%5B2%2C6%5D)
So, we have:


Thus, average rate of change will be:

⇒ 
⇒ 
⇒ 
Thus, the average rate of change of rainfall in the rainforest between 2nd year and 6th year = 3 inches