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:
Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n. After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr.
Step-by-step explanation:
You know that Samuel's starting pay is $12.50/hr and for each season Samuel remains with the company, he receives a $0.35/hr raise.
Samuel's hourly rate after n seasons at the company will then be:
f(n)= 12.50 + 0.35*n
To determine the hourly rate after 18 seasons, you must replace the value n with 18:
f(18)= 12.50 + 0.35*18
Solving you get:
f(18)= 12.50 + 6.3
f(18)= 18.8
<u><em>Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n. After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr. </em></u>
The rule for a 270° counterclockwise rotation is (x, y) ---> (y, -x).
So if you rotated (-5,5) 270° counterclockwise around the origin the new coordinates would be (-5,-5).
Hope this Helps!!
All u have to do is substract wich equals -129
Answer:
399.17 miles
Step-by-step explanation:
Gunnar's car gets 22.4 miles per gallon. His gas tank can hold 17.82 gallons of gas.
Gunnar's car travels with one gallon of gas = 22.4 miles
He can travel with 17.82 gallon of gas = 17.82 × 22.4
= 399.168 ≈ 399.17 miles
Gunnar can travel 399.17 miles if he uses all of the gas in the gas tank.
