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3 years ago

The slope of the line containing the points (-2,3) and (-3,1) is

Mathematics

1 answer:

Irina18 [472]3 years ago

5 0

To calculate the slope containing two points, we can use that formula:

$\mathsf{m=\dfrac{y_2-y_1}{x_2-x_1}}$

"m" represents the slope and coordinates are expressed as follows: (x, y)

Let's go to the calculations.

$\mathsf{m=\dfrac{y_2-y_1}{x_2-x_1}}\\\\\\ \mathsf{m=\dfrac{1-3}{-3-(-2)}}\\\\\\ \mathsf{m=\dfrac{-2}{-3+2}}\\\\\\ \mathsf{m=\dfrac{-2}{-1}}\\\\\\ \mathsf{m=\dfrac{2}{1}}\\\\\\ \underline{\mathsf{m=2}}$

The answer is 2 uc.

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Answer:

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Step-by-step explanation:

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3 years ago

Can you answer the bottom problem please

Minchanka [31]

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3 years ago

An honest die is rolled. If the roll comes out even (2, 4, or 6), you will win $1; if the roll comes out odd (1,3, or 5), you wi

jenyasd209 [6]

Answer:

(a) 50%

(b) 47.5%

Step-by-step explanation:

According to the honest coin principle, if the random variable X denotes the number of heads in n tosses of an honest coin (n ≥ 30), then X has an approximately normal distribution with mean, $\mu=\frac{n}{2}$ and standard deviation, $\sigma=\frac{\sqrt{n}}{2}$ .

Here the number of tosses is, n = 2500.

Since n is too large, i.e. n = 2500 > 30, the random variable X follows a normal distribution.

The mean and standard deviation are:

$\mu=\frac{n}{2}=\frac{2500}{2}=1250\\\\\sigma=\frac{\sqrt{n}}{2}=\frac{\sqrt{2500}}{2}=25$

(a)

To not lose any money the even rolls has to be 1250 or more.

Since, μ = 1250 it implies that the 50th percentile is also 1250.

Thus, the probability that by the end of the evening you will not have lost any money is 50%.

(b)

If the number of "even rolls" is 1250, it implies that the percentile of 1250 is 50th.

Then for number of "even rolls" as 1300,

1300 = 1250 + 2 × 25

= μ + 2σ

Then P (μ + 2σ) for a normally distributed data is 0.975.

⇒ 1300 is at the 97.5th percentile.

Then the area between 1250 and 1300 is:

Area = 97.5% - 50%

= 47.5%

Thus, the probability that the number of "even rolls" will fall between 1250 and 1300 is 47.5%.

(c)

To win $100 or more the number of even rolls has to at least 1300.

From part (b) we now 1300 is the 97.5th percentile.

Then the probability that you will win $100 or more is:

P (Win $100 or more) = 100% - 97.5%

= 2.5%.

Thus, the probability that you will win $100 or more is 2.5%.

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3 years ago

Which of the following points lies on the line whose equation is y = 2x - 3?

mariarad [96]

It's supposed to be (0,-3) but I guess your answer should be A

6 0

3 years ago

Read 2 more answers

HELP NEEDED, GIVING BRAINLIEST!

Nataly_w [17]

The correct answer is:

B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).

Step-by-step explanation:

Given

Dilation: D : (x,y) => (4x,4y)

And Vertices

A ( 2, 1 ), B ( 4, 1 ), C ( 4, -3 )

Applying dilation on all vertices

$A ( 2, 1 ) => A'(4*2, 4*1) => A'(8,4)\\B ( 4, 1 ) = > B' (4*4 ,4*1) = > B'(16,4)\\C(4,-3) => C' (4*4 , 4*-3) => C'(16, -12)$

To find the scale factor,

As we are multiplying each vertex coordinate by 4, the dilation factor is 4.

Moreover,

$\frac{A'}{A} = \frac{(8,4)}{(2,1)} = (4,4)$

Hence the scale factor is 4.

So,

The correct answer is:

B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).

Keywords: Dilation, Scale factor

Learn more about dilation at:

#LearnwithBrainly

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3 years ago