MATHEMATICS HIGH SCHOOL

A= 13+26+39+...+169What is the sum of the prime numbers that can divide A ?

A)16 B)18 C)20 D)22 E)24

Answers

Answer 1

Answer:

A= 13+26+39+...+169=

= 13(1+2+3+....+13)=

=13* (13*14)/2=

=13*13*7

=> 13+7=20

So the answer is c)

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Ten times the quotient of 104 and 8

Answers

Quotient means division so you divide 104 and 8 and get 13 then multiply by ten to get 130 as your answer

The answer would be 130 for the answer. When you divide 104 by 8, you get 13. 3 times 10 is 130. Hope this helped :)

Mrs. Williamson had 18 students in her homeroom at the beginning of the school year And 24 students at the end of the year what was the approximate percent increase in the number of students in Miss Williamson‘s homeroom

Answers

Answer:

There was an increase of 33.33% in Miss Williamson‘s homeroom

Step-by-step explanation:

Percentage increase in the number of students=((Final number-Initial number)/Initial Number)×100

where;

Initial number of students=18 students

Final number of students=24 students

Replacing;

((24-18)/18)×100=(6/18)×100=33.33% increase

There was an increase of 33.33% in Miss Williamson‘s homeroom

Erica makes 4,840$ monthly. What is the maximum loan she can take out on a house?

Answers

The maximum loan she can take out on a house is $174,240

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Answers

I believe the answer is the first choice. If I’m correct, the numbers outside of the square root are the y intercept, the graph is clearly starting in the negatives, it could be -2 (it being the y intercept). I hope this is right, my apologies if it isn’t.

A manufacturing process is designed to produce bolts with a 0.75-inch diameter. Once each day, a random sample of 36 bolts is selected and the bolt diameters recorded. If the resulting sample mean is less than 0.730 inches or greater than 0.770 inches, the process is shut down for adjustment. The standard deviation for diameter is 0.04 inches. What is the probability that the manufacturing line will be shut down unnecessarily? (Hint: Find the probability of observing an x in the shutdown range when the true process mean really is 0.75 inches. Round your answer to four decimal places.)

Answers

Answer:

0.0026 = 0.26% probability that the manufacturing line will be shut down unnecessarily

Step-by-step explanation:

We need to understand the normal probability distribution and the central limit theorem to solve this question.

Normal probability distribution

Problems of normally distributed samples are 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = (\sigma)/(√(n))$ .