Answer:
d) 33.1 miles per gallon
Step-by-step explanation:
Mean = sum/ number
Mean= (48+25+35+34+33+37+32+34+23+30)/10 = 33.1
Using the z-distribution, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
is the sample proportion.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
Researching this problem on the internet, 8 out of 39 candies are red, hence the sample size and the estimate are given by:

Hence the bounds of the interval are:
As a percentage, the 95% confidence interval for the percentage of red candies is of (7.84%, 33.18%). Since 33% is part of the interval, there is not enough evidence to conclude that the claim is wrong.
More can be learned about the z-distribution at brainly.com/question/25890103
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Answer:
B
Step-by-step explanation:
the area of triangle A is k times the area of triangle b
Answer:
x= 3/5
Step-by-step explanation:
SOH-CAH-TOA
You have the adjacent and hypotenuse so you will use Cosine
cos=adj/hyp
adj=3
hyp=5
3/5 = cos (or theta)