Answer:
Null hypothesis 
Alternative hypothesis 
The p value is 0.000517, which is less than the significance level 0.01, therefore we reject the null hypothesis and conclude that population mean is not equal to 5.00.
Step-by-step explanation:
It is given that a data set lists earthquake depths. The summary statistics are



Level of significance = 0.01
We need to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00.
Null hypothesis 
Alternative hypothesis 
The formula for z-value is




The p-value for z=3.4719 is 0.000517.
Since the p value is 0.000517, which is less than the significance level 0.01, therefore we reject the null hypothesis and conclude that population mean is not equal to 5.00.
Answer:
Option D. 
Step-by-step explanation:
we have

solve for h
squared both sides


substitute the value of d

Answer:
d. BC=30
Step-by-step explanation:
triangle ABC is cut by a diagnal AD into two equal triangles .So if BD is 15 ,DC will also be 15
therefor total length of BC wil be 30 (15 +15)
50 + 3(B) + 50 + 3(R) + 50 + 3(Y) would be the equation.