The <em><u>correct answer</u></em> is:
c)75.4 to 94.6
Explanation:
The formula for a confidence interval is:
,
where μ is the mean, z is the z-score associated with the level of confidence we want, σ is the standard deviation, and n is the sample size.
Our mean is 85, our standard deviation is 12, our sample size is 6, and since we want 95% confidence, our z-score is 1.96:

Answer:
Half the age of Carlos four years ago is 2 years more than one-third his current age.
Step-by-step explanation:
We want to write a word problem for the equation.

Let x represent the present age of Carlos.
Four years ago, Carlos was x-4 years.
Half his age four years ago is ½(x-4)
Two years more than one-third his current age is ⅓x+2
Given Situation:Joe is a car salesman. He earns 300 for every car he sells plus a 3 percent commission. Joe sells 3 cars in one week for a total of 35,243.Questin: what are his total earnings for the week.First let's solve for the number of cars.=> 1 car = 300 dollars=> 3 cars = 3 * 300 = 900 dollarsNow, let's solve for the percentage of his commision:=> 35 243 dollars = total amount he received for the 3 cars he sold.=> 35 243 dollars * 0.03 = 1 057.29 dollars is the commision.Now, let's add=> 900 + 1 057.29 = 1 957.29 dollars<span>
</span>
Answer:
x = 3/2
Step-by-step explanation:
x- 3/4 + 2/3 = 17/12
x = 17/12 + 3/4 -2/3
x = 3/2