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2 years ago

What is the equation of the following line? Be sure to scroll down first to see

Mathematics

1 answer:

8_murik_8 [283]2 years ago

5 0

The required equation of the line is 5y=x.

We are given to find the equation of the line passing through the points (0, 0) and (15, 3).

We know that

<h3>What is the slope point form of the line?</h3>

The equation of a line passing through two points (a, b) and (c, d) is given by

$y-b=\frac{d-b}{c-a}(x-a)$

Therefore, the equation of the line passing through the points (0, 0) and (15, 3) is given by,

Thus, the required equation of the line is

$y-0=\frac{3-0}{15-0}(x-0)\\y=\frac{3}{15}x\\ y=\frac{1}{5}x\\ 5y=x$

Thus the required equation of the line is 5y=x.

To learn more about the equation of the line visit:

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The incomes in a certain large population of college teachers have a Normal distribution, with mean $75,000 and standard deviati

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Answer:

probability that their average salary is more than $77,500 is 0.1587

Step-by-step explanation:

standard error

= 10,000/sqrt(16)

=10,000/4

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= 1

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So, the probability that their average salary is more than $77,500 is 0.1587

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3 years ago

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8. Is the following statement true or false? Justify your conclusion. If a and b are nonnegative real numbers and a + b =0, then

atroni [7]

Answer:

If $a + b = 0$ then $a = 0$ and $b =0$

a | b | a + b (answer)

0 | 0 | 0

0 | 1 | 1

0 | 2 | 2

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Step-by-step explanation:

Considering the following conditions for the real numbers:

$a\geq 0\\b\geq 0$

Following the rules of these in-equations, it is possible to deduce:

$a + b \geq 0$

Then, if the proposed statement is:

$a + b = 0$

The conditions above shall comply the requirements established, but first, analyzing the statement:

If $a \geq 0$ and $b \geq 0$ then $a + b \geq a$ , $a + b \geq b$ and $a + b \geq 0$ .

If $a = 0$ and b a non negative real number, then $a + b \geq b$ , but because to $a = 0$ , then $a + b = b$ . Due to the commutative property of sums, the same behavior will be presented if $b = 0$ and a a non negative real number.

According to that, if $a + b = 0$ , then $a = 0$ and $b = 0$ .

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3 years ago

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Between-group design compares two groups (randomly formed) on the same task, such as movement speed.

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A between-group design in experimental design is an experiment in which two or more groups of individuals are assessed simultaneously by separate testing factors. This design is typically used instead of, or in conjunction with, the within-subject design, which applies identical modifications of circumstances to each participant in order to monitor the reactions.

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2 years ago

Find the radius of a circle with a circumference of 30 units. Round your answer to the nearest tenth (1 decimal place).

Vlad [161]

Answer:

The radius would be 4.8

Step-by-step explanation:

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3 years ago