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Arte-miy333 [17]
3 years ago
10

Find the midpoint of the line segment with end coordinates of: (−3,−1)and (−4,2) Give coordinates as decimals where appropriate.

Mathematics
2 answers:
lawyer [7]3 years ago
4 0

Answer:

ANSWER

M=(−72,12).

Step-by-step explanation:

The midpoint for two points P=(x1,y1) and Q=(x2,y2) is

M=(x1+x22,y1+y22).

We have that x1=−3, y1=−1, x2=−4, y2=2.

So, M=(−3+(−4)2,−1+(2)2)=(−72,12)

Delvig [45]3 years ago
3 0

Answer:

The answer is

<h2>( - 3.5 , 0.5)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(−3,−1) and (−4,2)

The midpoint is

M  = ( \frac{ - 3 - 4}{2}  \: , \:  \frac{ - 1 + 2}{2} ) \\  = ( -  \frac{7}{2}  \: , \:  \frac{1}{2} )

We have the final answer as

<h3>( - 3.5 , 0.5)</h3>

Hope this helps you

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At a certain coffee shop, all the customers buy a cup of coffee; some also buy a doughnut. The shop owner believes that the numb
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Answer:

a) 0.2514

b) No

c) 0.2611

Step-by-step explanation:

For coffee cups sold daily

Mean(μ) = 320 cups

Standard deviation (σ) = 20 cups

For doughnut sold daily

Mean(μ) = 150 doughnut

Standard deviation (σ) = 12 doughnut

Let X be the random variable representing the number of cups.

Let y be the random variable representing the number of doughnuts.

a) The shop is opened everyday except Sunday's. This means that the shop is opened 6 times in a week.

The probability that he will sell more 2000 cups of coffee in a week = Pr(x>2000)

Using normal distribution

Z = (x - μ)/σ

Z = (2000 - 6(320))/6(20)

Z = (2000 - 1920) / 120

Z = 80/120

Z = 0.67

From the normal distribution table, 0.67 = 0.2486

Φ(z) = 0.2486

Recall that if Z is positive,

Pr(x>a) = 0.5 - Φ(z)

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Z = (300 - (0.5*320 + 0.4*150)) / √0.5^2*20^2 + 0.4^2*12^2

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Z = 80/11.09

= 7.02

Since 300 is more than 7 standard deviation from the mean and the value of z cannot be found in the normal distribution table, then he has NO reasonable chance to earn a profit more than 300.

c) The probability that on any given day he will sell a doughnut to more than half of his coffee customers = Pr(y - 0.5x > 0)

From normal distribution,

Z = (x - μ) / σ

Z = (0 - (150 - 0.5*320)) / √12^2 + 0.5^2*20^2

Z = (0 - (150 - 160)) / √144 + 100

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= 0.64

From the normal distribution table, 0.64 = 0.2389

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Recall that if Z is positive,

Pr(x>a) = 0.5 - Φ(z)

Pr(y - 0.5x >0) = 0.5 - 0.2389

= 0.2611

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Plumber A charges $60 an hour. Plumber B charges $40 to visit your home plus $55 for each hour. For how many hours will the tota
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Answer:

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Let us assume the hours be x

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