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pychu [463]
3 years ago
7

5. Which function would have the point (0,0) on its graph?

Mathematics
1 answer:
stepladder [879]3 years ago
4 0

Answer:

B. <em>Output = Input x 5</em>

Step-by-step explanation:

Given:

Point (0,0)

To find which of the functions given will have the point (0,0) on its graph.

Solution:

In order to check whether a point (x,y) lies on the graph of the function, we plugin the x as the input in the function and y as the output of the function and see if it satisfies the equation.

Plugging in point (0,0) in the functions given:

A. <em>Output = Input + 3</em>

Plugging in Output=0 and Input=0

0=0+3

0=3

The above statement can never be true and hence, the function graph  does not have the point (0,0).

B. <em>Output = Input x 5</em>

Plugging in Output=0 and Input=0

0=0\times 5

0=0

The above statement is always true and hence, the function graph does  have the point (0,0).

C. <em>Output = Input - 2</em>

Plugging in Output=0 and Input=0

0=0-2

0=-2

The above statement can never be true and hence, the function graph  does not have the point (0,0).

D. <em>Output = Input + 3</em>

Plugging in Output=0 and Input=0

0=0+3

0=3

The above statement can never be true and hence, the function graph  does not have the point (0,0).

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Which of the following conditions must be met in order to make a statistical inference about a population based on a sample
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For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

Step-by-step explanation:

For this case if we want to conclude that  the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

\bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

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7 0
3 years ago
Please help! How do I solve this ​
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Answer:

(x,y) --> (-1, -3)

Step-by-step explanation:

Solve by elimination...

2x - 3y = 7

4x + y = -7 (times 3; so -3y and 3y cancel out)

2x - 3y = 7

12x + 3y = -21

2x = 7

12x = -21

add together...

14x = -14

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plug x into one of the original equations and solve for y...

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