Answer: y= 2
Step by step: Multiply 2 and 1 to get 2
Answer:
Area=36.66 cm^2
Step-by-step explanation:
First, you need the height.
Use the Pythagorean theorem:
hypotenuse^2=height^2+(1/2 base)^2
It's one-half base because it's an equilateral triangle.
1/2 base =4.6
(9.2)^2-4.6^2=height^2
84.64-21.16=height^2
height^2=63.48
height=7.97
Area=(1/2)(base)(height)
Area=(1/2)(9.2)(7.97)=36.66 cm^2
Answer:
There is enough evidence to support the claim that the population mean is greater than 100
Step-by-step explanation:
<u>Step 1</u>: We state the hypothesis and identify the claim
and
(claim)
<u>Step 2</u>: Calculate the test value.


<u>Step 3</u>: Find the P-value. The p-value obtained from a calculator is using d.f=39 and test-value 1.126 is 0.134
<u>Step 4</u>: We fail to reject the null hypothesis since P-value is greater that the alpha level. (0.134>0.05).
<u>Step 5</u>: There is enough evidence to support the claim that the population mean is greater than 100.
<u>Alternatively</u>: We could also calculate the critical value to obtain +1.685 for
and d.f=39 and compare to the test-value:
The critical value (1.685>1.126) falls in the non-rejection region. See attachment.
NB: The t- distribution must be used because the population standard deviation is not known.
Answer: the percent of the students at this university are foreign = 30%
Step-by-step explanation:
Given: Probability that college students are foreign students who also smoke: P(S|F)=0.12
Probability that foreign college students smoke P(S∩F)=0.4
The probability that the students at this university are foreign :
[By conditional probability formula]

Hence, the percent of the students at this university are foreign = 30%