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4 years ago

What does 4/x+5 + 2x/x^2-25 equal?

1 answer:

8 0

Solve for x over the real numbers:
6/x - 20 = 0
Bring 6/x - 20 together using the common denominator x:
-(2 (10 x - 3))/x = 0
Divide both sides by -2:
(10 x - 3)/x = 0
Multiply both sides by x:
10 x - 3 = 0
Add 3 to both sides:
10 x = 3
Divide both sides by 10:
Answer: x = 3/10

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Solve the inequality x + 3 < 7. Which number line represents the solution?<br> es )

Leya [2.2K]

Answer:

x < 4

So the dot on the graph would be an open dot and the number line would be shaded to the left.

Step-by-step explanation:

I do not see a number line, but

x < 4

So the dot on the graph would be an open dot and the number line would be shaded to the left.

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3 years ago

What is the perimeter of triangle ABC with the vertices A(-2,9), B(7,-3),C(-2,-3) in the coordinate plan

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D.................................36 unts

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3 years ago

Pls help will give brainliest

ki77a [65]

Answer:

B. the mean of city A is greater than the mean of city B

Step-by-step explanation:

Find mean by adding every number than dividing by the total of numbers added so...

97+98+96+98+99=488 and 488/5=97.6 which is higher than the mean of city B

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3 years ago

Find two numbers whose ratio is 3:7 and whose sum is 150

mr Goodwill [35]

$3x-first\ number\\7x-second\ number\\\\3x+7x=150\\10x=150\ \ \ \ \ |:10\\x=15\\\\3\cdot15=45\\7\cdot15=105\\\\Searched\ number\ are\ 45\ and\ 105$

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4 years ago

Suppose that scores on a knowledge test are normally distributed with a mean of 60 and a standard deviation of 4.3. Scores on an

Sphinxa [80]

Question:

(c) Boris also took a logic test. His z-score on that test was +0.93 . Does this change the answer to which test Boris performed better on? Explain your answer using z-scores.

Answer:

The answers to the questions are;

(a) Based on the z score, Boris perform better on his aptitude test.

(b) Based on the z score, Callie perform better on his knowledge test .

Yes as Boris now performed best on the logic test.

Step-by-step explanation:

The z-score of a score is a measurement of the score withe respect to its distance from the mean as a factor of the standard deviation.

To solve the question, we note that we are required to find the z score as follows.

z score is given by $z = \frac{x -\mu}{\sigma}$

Where:

z = Standard score

x = Score

σ = Standard deviation

μ = Mean

(a) To find out which test did Boris performed better usin z score, we have

Boris scored a

57 on the knowledge test and

106 on the aptitude test

Therefore the z sore for the knowledge test is

$z = \frac{x -\mu}{\sigma}$

Here

x = 57

μ = 60

σ = 4.3

Therefore

$z_{knowledge} = \frac{57 -60}{4.3}$ = -3/4.3 = -30/43 = -0.6977

The z sore for Boris on the aptitude test is

Here

x = 106

μ = 110

σ = 7.1

$z_{aptitude} = \frac{106 -110}{7.1}$ = -40/17 = -0.5634

Based on the z score, Boris perform better on the aptitude test as his z score is higher (on the number line), --0.5634, compared to the z score on the knowledge test , -0.6977

(b) For Callie we have

Callie scored a

63 on the knowledge test and

114 on the aptitude test

Therefore the z sore for the knowledge test is

$z = \frac{x -\mu}{\sigma}$

Here

x = 63

μ = 60

σ = 4.3

Therefore

$z_{knowledge} = \frac{63 -60}{4.3}$ = 3/4.3 = 30/43 = 0.6977

The z sore for Callie on the aptitude test is

Here

x = 114

μ = 110

σ = 7.1

$z_{aptitude} = \frac{114 -110}{7.1}$ = 40/17 = 0.5634

Based on the z score, Callie perform better on the knowledge test as his z score is higher (on the number line), 0.6977, compared to the z score on the aptitude test , 0.5634.

$z_{aptitude}$ = - 0.5634 then

$z_{logic}$ > $z_{knowledge}$ > $z_{aptitude}$

Therefore Boris now performed best on the logic test.

6 0

3 years ago