54.55÷5 people what is a good estimate for quotient

Answers

Answer 1

Answer:

See attachment for math work and answer.

Answer 2

Answer: I think it would be 11

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Answers

Answer:

Step-by-step explanation:

Sam is getting ready for a big date when he realizes that he has no money. His roommate, Bill, also has no money, but he has a credit card. Knowing that nobody will let Sam use Bill’s credit card, Sam asks Bill to pull out a cash advance for $120.00. Bill agrees under the condition that Sam is responsible for all interest that accrues on the cash advance which is a 30% interest rate, compounded monthly. 5 full years go by before the $120 cash advance is repaid. How much should Bill ask Sam to pay in interest for the cash advance? a.
$3.88
b.
$112.80
c.
$120.00
d.
$232.80

Answers

cash advance = 120

annual interest rate = 30% compounded monthly

term = 5 years

A = P (1 + r/n)^nt

A = future value of the cash advance

P = principal or value of cash advance

r = interest rate

n = times interest is compounded

t = terms or years

A = 120 (1 + 30%/12)^12 * 5

A = 120 (1 + 0.025)^60

A = 120 (1.025)^60

A = 120 (4.40)

A = 528

528 total amount including principal.
528 - 120 = 408 total interest paid
I hope this helps!!

Answer:

I just took the test, the answer is B.) $112.80

A psychologist designed a new aptitude exam to measure logical and analytical thinking abilities. The time allowed for the exam is 60 minutes, and the exam is made up of 35 multiple choice questions. The psychologist expects that an examinee will spend an average of 1.66 minutes answering each question, with a standard deviation of 0.73 minutes. What proportion of examinees will complete the exam on time? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places

Answers

Answer:

52.79% of examinees will complete the exam on time.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

There are 35 questions. The psychologist expects that an examinee will spend an average of 1.66 minutes answering each question, with a standard deviation of 0.73 minutes. This means that the mean and the standard deviation for the time to complete the test is $\mu = 35*1.66 = 58.1, \sigma = 35*0.73 = 25.55$ .