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Aneli [31]
3 years ago
7

PRECALCULUS please help​

Mathematics
1 answer:
sergejj [24]3 years ago
6 0

Answer:

<h2>( f - g)(x)  =  \frac{2x -  \sqrt{x} + 14 }{3x}</h2>

Step-by-step explanation:

f(x) =  \frac{2x + 6}{3x}  \\  \\ g(x) =  \frac{ \sqrt{x}  - 8}{3x}

To find ( f - g)(x) , subtract g(x) from f(x)

That's

( f - g)(x) =  \frac{2x + 6}{3x}  -  \frac{ \sqrt{x}  - 8}{3x}

Since they have a common denominator that's 3x we can subtract them directly

That's

\frac{2x  +  6}{3x}  -  \frac{ \sqrt{x}  - 8}{3x}    =  \frac{2x  + 6 - ( \sqrt{x} - 8) }{3x}  \\  =  \frac{2x + 6 -  \sqrt{x} + 8 }{3x}  \\  =  \frac{2x -  \sqrt{x} + 6 + 8 }{3x}

We have the final answer as

<h3>( f - g)(x)  =  \frac{2x -  \sqrt{x} + 14 }{3x}</h3>

Hope this helps you

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Answer:

c

Step-by-step explanation:

4 0
2 years ago
The College Student Journal (December 1992) investigated differences in traditional and nontraditional students, where nontradit
shutvik [7]

Answer:

There is a 0.13% probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65.

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

For this problem, we have that:

Based on the study results, we can assume the population mean and standard deviation for the GPA of nontraditional students is \mu = 3.5 and \sigma = 0.5.

We have a sample of 100 students, so we need to find the standard deviation of the sample, to use in the place of \sigma in the z score formula.

s = \frac{\sigma}{\sqrt{100}} = \frac{0.5}{10} = 0.05.

What is the probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65?

This is 1 subtracted by the pvalue of Z when X = 3.65. So

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

Z = \frac{3.65 - 3.50}{0.05}

Z = 3

A zscore of 3 has a pvalue of 0.9987.

So, there is a 1-0.9987 = 0.0013 = 0.13% probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65.

4 0
3 years ago
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1

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6 0
2 years ago
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Answer:

650 Country A Dollars

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5 0
2 years ago
What is the radian measure of the central angle of a circle of radius 1.5 meter that intercepts an arc of length 600 centimeters
Maksim231197 [3]

Radian measure of the central angle is 4 radian

<em><u>Solution:</u></em>

Given that,

A circle of radius 1.5 meter that intercepts an arc of length 600 centimeters

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The circumference of circle is given as:

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Therefore circumference of circle = 3 \pi meters , which subtends central angle of  2 \pi radian

Given that arc of length 600 centimeters. Let us convert 600 centimeter to meter

We know that, to convert centimeter to meter divide the length value by 100

\text{ 600 centimeter } = \frac{600}{100} \text{ meter } = 6 \text{ meter}

<u><em>Therefore arc of 6 meter will subtend a central angle of:</em></u>

\rightarrow \frac{6}{3 \pi} \times 2 \pi = 4

Therefore radian measure of the central angle is 4 radian

7 0
2 years ago
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