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malfutka [58]
2 years ago
13

What is the slope of the line that passes through the points ( 5 , − 10 ) (5,−10) and ( 11 , − 12 ) ? (11,−12)? Write your answe

r in simplest form.
Mathematics
1 answer:
yan [13]2 years ago
4 0

The slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

<em><u>Recall:</u></em>

  • The slope of a line passing across through two points can be calculated using: m = \frac{y_2 - y_1}{x_2 - x_1}

<em><u>Given two points:</u></em>

(5,−10) and ( 11 , − 12 )

  • Let,

(5,-10) = (x_1, y_1)\\\\( 11 , - 12) = (x_2, y_2)

  • Substitute

m = \frac{-12 - (-10)}{11 - 5}

Slope (m) = -2/6

Slope (m) = -1/3

Therefore the slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

Learn more about slope of a line on:

brainly.com/question/3493733

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Answer:

1/20

Step-by-step explanation:

Remark: Not huge

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P(First Black Sock):  4/16 = 1/4

The second Sock needs to be discussed a bit. The number of black  socks has gone down to 1 and the total will always go down by 1.

Second Sock: 3 Black / 15 Total = 3/15 = 1/5

Combined Probability: 1/4 * 1/5 = 1/20

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aev [14]
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An insurance policy sells for $600. Based on past data, an average of 1 in 50 policy holders
mylen [45]

Using a discrete distribution, we have that:

a) The expected value is of $250 per policy sold.

b) The expected profit for 10,000 policies is of $2,500,000.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.

Considering that an insurance profit sells for $600, the distribution of the company's earnings is given as follows:

  • P(X = -4400) = 0.02.
  • P(X = -9400) = 0.01.
  • P(X = -29400) = 0.005.
  • P(X = 600) = 0.965.

Hence the expected value for a policy sold is given by:

E(X) = 600(0.965) - 4400(0.02) -9400(0.01) - 29400(0.005) = 250.

For 10,000 policies, the expected profit is given by:

E = 10000 x 250 = 2,500,000.

More can be learned about discrete distributions at brainly.com/question/24802582

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2 years ago
What is the area of a triangle with a base of 9 feet and a height of 10 feet?
nadya68 [22]

Answer:

area of triangle = b×h

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Step-by-step explanation:

it will help you then thank me

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