Answer:
The correct option is;

Step-by-step explanation:
The given expression is presented as follows;

Which can be expanded into the following form;

From which we have;


Therefore, substituting the value of n = 50 we have;


Which gives;



Therefore, we have;
.
Answer:
No, there is not sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.
This means that the null hypothesis is:

It is believed that the machine is underfilling the bags.
This means that the alternate hypothesis is:

The test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
434 is tested at the null hypothesis:
This means that 
A 9 bag sample had a mean of 431 grams with a variance of 144.
This means that 
Value of the test-statistic:



P-value of the test:
The pvalue of the test is the pvalue of z = -0.75, which is 0.2266
0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.
Answer:
180
Step-by-step explanation:
8x15 is 120. The formula to find the area of a right triangle is base x height divided by two.
120/2 is 60
60x3 is 180.
180 plants
Answer:
C. A pod of humpback whales
The scientists is trying to draw a conclusion about all humpback whales by looking at the behaviors of a pod of humpback whales.