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Solve for the indicated variable. M = T − R for T T=

Anastasy [175]

Answer:R+M=T----T=R+M

Step-by-step explanation:

M=T-R

Add R to each side

R+M=T

8 0

3 years ago

How do you work a percentage problem

Slav-nsk [51]

Answer:

Some percents are easy to figure. Here are a few:

Finding 100% of a number: Remember that 100% means the whole thing, so 100% of any number is simply the number itself:

100% of 5 is 5

100% of 91 is 91

100% of 732 is 732

Finding 50% of a number: Remember that 50% means half, so to find 50% of a number, just divide it by 2:

50% of 20 is 10

50% of 88 is 44

Finding 25% of a number: Remember that 25% equals 1/4, so to find 25% of a number, divide it by 4:

25% of 40 is 10

25% of 88 is 22

Here’s a trick that makes certain tough-looking percent problems so easy that you can do them in your head. Simply move the percent sign from one number to the other and flip the order of the numbers.

Suppose someone wants you to figure out the following:

88% of 50

Finding 88% of anything isn’t an activity that anybody looks forward to. But an easy way of solving the problem is to switch it around:

88% of 50 = 50% of 88

This move is perfectly valid, and it makes the problem a lot easier. As you learned above, 50% of 88 is simply half of 88:

88% of 50 = 50% of 88 = 44

As another example, suppose you want to find

7% of 200

Again, finding 7% is tricky, but finding 200% is simple, so switch the problem around:

7% of 200 = 200% of 7

Above, you learned that to find 200% of any number, you just multiply that number by 2:

7% of 200 = 200% of 7 = 2 7 = 14

Hope this helps you!!

5 0

3 years ago

HELPP Which of the following is the quotient of the rational expression shown below?

lapo4ka [179]

Answer:

The correct answer is option D.

(x² - 16)/(4x³ + 6x²)

Step-by-step explanation:

It is given that, (x - 4)/2x² ÷ (2x + 3)/(x + 4)

To find the correct option

(x - 4)/2x² ÷ (2x + 3)/(x + 4)

= (x - 4)/2x² * (x + 4)/(2x + 3)

= [(x - 4)(x + 4)]/(2x²(2x +3)

= (x - 16)/(4x³ + 6x²)

The correct answer is option D.

(x² - 16)/(4x³ + 6x²)

5 0

3 years ago

Sixteen is seven plus three times a number find the number

Mama L [17]

Answer: x=3

Step-by-step explanation:

16 = 7 + 3x

9 = 3x

3 = x

:0

4 0

3 years ago

1. The SAT test scores have an average value of 1200 with a standard deviation of 105. A random sample of 35 scores is selected

AveGali [126]

Answer:

a) The shape is bell shaped, because of the single peak at the center, that is the mean.

The mean of the sampling distribution of the sample mean is 1200.

The standard deviation of the sampling distribution of the sample mean for samples of size 35 is 17.75.

b) There is a 2.07% probability that the sample mean will be larger than 1235.

c) 85.68% probability that the sample mean will fall within 25 points of the population mean.

d) There is a 7.22% probability that the sample mean will be less than 1175.

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

$Z = \frac{X - \mu}{\sigma}$

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 This p-value is the probability that the value of the measure is greater than X.

In this case, we have that:

The SAT test scores have an average value of 1200 with a standard deviation of 105. A random sample of 35 scores is selected for study. So $\mu = 1200, \sigma = 105, n = 35$ .

A) What is the shape, mean(expected value) and standard deviation of the sampling distribution of the sample mean for samples of size 35?

The shape is bell shaped, because of the single peak at the center, that is the mean.

The mean of the sampling distribution of the sample mean is the same as the sample mean. So, the mean of the sampling distribution of the sample mean is 1200.

The standard deviation of the sampling distribution of the sample mean for samples of size 35 is the sample standard deviation divided by the square root of the size of the sampling distribution.

$s = \frac{105}{sqrt{35}} = 17.75$

The standard deviation of the sampling distribution of the sample mean for samples of size 35 is 17.75.

B) What is the probability that the sample mean will be larger than 1235?

This is 1 subtracted by the pvalue of Z when $X = 1235$ .

$Z = \frac{X - \mu}{s}$

$Z = \frac{1235 - 1200}{17.15}$

$Z = 2.04$

$Z = 2.04$ has a pvalue of 0.9793

So there is a 1-0.9793 = 0.0207 = 2.07% probability that the sample mean will be larger than 1235.

C) What is the probability that the sample mean will fall within 25 points of the population mean?

This is the subtraction of the pvalue of the Z score when X = 1225 by the pvalue of the Z score when X = 1175.

So:

$Z = \frac{X - \mu}{s}$

$Z = \frac{1225 - 1200}{17.15}$

$Z = 1.46$

$Z = 1.46$ has a pvalue of 0.9279

X = 1175 is going to have $Z = -1.46$ , that has a pvalue of 0.0722.

This means that there is a 0.9297 - 0.0729 = 0.8568 = 85.68% probability that the sample mean will fall within 25 points of the population mean.

D) What is the probability that the sample mean will be less than 1175?

X = 1175 has $Z = -1.46$ , that has a pvalue of 0.0722.

This means that there is a 7.22% probability that the sample mean will be less than 1175.

3 0

3 years ago