MATHEMATICS COLLEGE

4s-12= 5s+51 what is the solution

Answers

Answer 1

Answer:

Given data:

The given expression is 4s-12=5s+51.

The given expression can be written as,

4s-12=5s+51

4s-5s=51+12

-s=63

s=-63

Thus, the value of s is -63.

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Peggy is p years old maggie is 1 year less than 1/4 of peggys age what is maggies age in terms of p

Answers

Answer:

1/2m+100

Step-by-step explanation:

IQ scores are normally distributed with a mean of 105 and a standard deviation of 17. Assume that many samples of size n are taken from a large population of people and the mean IQ score is computed for each sample. If the sample size is n 81, find the mean and standard deviation of the distribution of sample means.

Answers

Answer:

Mean 105

Standard deviation 1.89

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = (\sigma)/(√(n))$

In this problem, we have that:

$\mu = 105, \sigma = 17$

If the sample size is n 81, find the mean and standard deviation of the distribution of sample means.

By the Central limit theorem

mean 105

Standard deviation

$s = (17)/(√(81)) = 1.89$

Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. The oil change for one car required 5 quarts of oil and cost $22.15. The oil change for the other car required 7 quarts of oil and cost $25.15. How much is the labor fee and how much is each quart of oil?

Answers

Answer:

Labor = $14.65

Step-by-step explanation:

25.15-22.15= 3 3/2 = 1.5

1qt = $1.5

1.5 x 5 = $7.5

22.15 - 7.5 = $14.65

1.5 x 7 = 10.5

25.15 - 10.5 = $14.65

Labor = $14.65

Three Rivers publishes a catalog each year, last year it had 198 pages back and front. Weprint 150 copies. How much does it cost the college if a ream, 500 pages, cost

$7.40 each?

Answers

Answer:

$222

Step-by-step explanation:

We need to find how many ream was used in the printing forts, to determine how much the College spent.

The catalog is 198 pages, back and front, which means, 1 leaf will take 2 pages. Therefore, 99 pages were used in printing 1 copy of the catalog.

No of pages that were used in printing 150 copies = 150*99 = 14,850 pages.

If 500 pages = 1 realm, therefore,

14,850 pages = 14,850/500 = 29.7.

Since, it's a full team that is sold, let's approximate the number of reams bought to be 30 reams.

If 1 ream costs $7.40, therefore,

30 reams = 30*7.40 = $222

Final answer:

To calculate the cost of printing the catalogs, you need to calculate the total number of pages printed, convert that into the number of reams needed, and then multiply by the cost per ream. The total cost comes out to $444.

Explanation:

This problem involves simple multiplication and division to calculate the cost. The catalog has 198 pages and they print 150 copies, so the total number of pages is 198*150=29,700 pages. Every ream has 500 pages so you need 29,700/500=59.4 reams. But, you can't have a part of a ream, so you should round up to 60 reams. Then you multiply the number of reams by the cost per ream: 60 reams*$7.40/ream=$444. Therefore, the cost to the college is $444.

Learn more about Cost Calculation here:

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+ AlpQLScihp oans IbEmC-HAVOXMXB3Betzzi9sI8550WzDcwaron have a spinner divided into 8 equal sections. Each section is bered with a number 1 through 8. Salma is going to spin the spinner 1600 times. Theoretically, how many times should she land on a 1, 2, 3

Answers

Answer:

Salma should land her spinner on a 1, 2 or 3 about 600 times.

Step-by-step explanation:

Since Salma has a spinner divided into 8 equal sections, and each section is bered with a number 1 through 8, and Salma is going to spin the spinner 1600 times, to determine, theoretically, how many times should she land on a 1, 2, 3 the following calculations must be performed:

8 = 100

3 = X

3 x 100/8 = X

300/8 = X

37.5 = X

100 = 1600

37.5 = X

37.5 x 1600/100 = X

60000/100 = X

600 = X

Therefore, Salma should land her spinner on a 1, 2 or 3 about 600 times.

Change 11/5 from an improper fraction to a mixed number