Rewrite with positive exponents a^-3 b^-5

In London today, twice the high temperature was more than five times the high temperature minus eighty-seven. In interval form,

defon

The possible temperatures are represented by (-∝, 29)

<h3>How to determine the possible temperatures?</h3>

Let the high temperature be x

So, the statement can be represented as:

2x > 5x - 87

Subtract 5x from both sides

-3x > -87

Divide both sides by -3

x < 29

In interval form, we have (-∝, 29)

Hence, the possible temperatures are represented by (-∝, 29)

Read more about interval notation at:

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3 0

2 years ago

The average high-school teacher annual salary is $43,000. Let teacher salary be normally distributed with a standard deviation o

Dvinal [7]

Answer:

a) 0.219

b) 0.02

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:

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

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:

$\mu = 43000, \sigma = 18000$

a. What percent of high school teachers make between $40,000 and $50,000?

This is the pvalue of Z when X = 50,000 subtracted by the pvalue of Z when X = 40,000.

So

X = 50,000

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

$Z = \frac{50000 - 43000}{18000}$

$Z = 0.39$

$Z = 0.39$ has a pvalue of 0.6517.

X = 40,000

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

$Z = \frac{40000 - 43000}{18000}$

$Z = -0.17$

$Z = -0.17$ has a pvalue of 0.4325

So 0.6517 - 0.4325 = 0.219 = 21.9% of high school teachers make between $40,000 and $50,000.

b. What percent of high school teachers make more than $80,000?

This is 1 subtracted by the pvalue of Z when X = 80000. SO

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

$Z = \frac{80000 - 43000}{18000}$

$Z = 2.06$

$Z = 2.06$ has a pvalue of 0.9803.

So 1-0.9803 = 0.0197 = 0.02 = 2% of high school teachers make more than $80,000.

6 0

3 years ago

Solve cos^30- sin^30

11Alexandr11 [23.1K]

Answer:

hi

Step-by-step explanation:

hdisbkaab

bhai kyun dimag kharab kr raha hai chup chap apni mam se puch

4 0

3 years ago

If the tax on a $25 shirt is 10%, what would the final cost be?

tankabanditka [31]

Answer: $27.5

Step-by-step explanation:

10 percent of 25 is 2.5 (which is the tax). We just add that to the cost of the shirt and we get the final cost of $27.5.

8 0

2 years ago

Give an explanation please thank you

Flauer [41]

The statement of Gabriella, “The graph will not have an inverse function.” is incorrect. Option B is correct.

Let us understand about the given graph:

The given graph is a graph of a cube root function.

So, the statement of Noelle, “The graph represents the function $f(x)=\sqrt[3]{x}$ ." is correct.

So, option A is not correct.

The inverse of a cube root function is a cubic function.

So, the statement of Gabriella, “The graph will not have an inverse function.” is incorrect.

So, option B is correct.

The domain and range of the cube root function are all real numbers.

So, the statement of Julian, “The domain and range of the function is all real numbers.” is correct.

So, option C is not correct.

From the graph, we can see f(-1) = -1.

So, the statement of Yemen, “The value of f(-1) = -1.” is correct.

So, option D is not correct.

Thus, the statement of Gabriella, “The graph will not have an inverse function.” is incorrect. Option B is correct.

To learn more about the cube root function visit:

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3 0

1 year ago