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sesenic [268]
3 years ago
14

Find the midpoint of the line segment joining the points (-2,-2) and (-4,9).

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
4 0

Answer:

The answer is

<h2>( - 3 \: , \:  \frac{7}{2} )</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

(-2,-2) and (-4,9).

The midpoint is

M = ( \frac{ - 2 - 4}{2}  \:  , \:  \frac{ - 2 + 9}{2} ) \\  = ( -  \frac{6}{2}  \: , \:  \frac{7}{2} )

We have the final answer as

( - 3 \: , \:  \frac{7}{2} )

Hope this helps you

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A survey asked people of different ages whether they get their news by reading the paper. What is the probability that a person
Bingel [31]

C. 60%

The probability that a person surveyed is 40 or older and gets the news by reading the paper is 60%.

Step-by-step explanation:

In our case, we have to find the probability of a person getting their news by reading the paper. But we are given with a condition that the person must be 40 or older.

The survey is conducted among 80 people.

Number of people aged 40 or older = 40

No of people aged 40 or older and read paper = 24

Probability formula is the ratio of number of favorable outcomes to the total number of possible outcomes.

Probability of a person aged 40 or older reads a paper =

(No. of People aged 40 or older and read paper)/(No. of people aged 40 or older)

= 24/40

= 0.6

= 60%

Learn more about probability from brainly.com/question/10694003

#learnwithBrainly

8 0
3 years ago
Read 2 more answers
In a recent test, you scored 1.0 standard deviations above the average score attained, and the scores are normally distributed.
sesenic [268]

Answer:

97.75 %

Step-by-step explanation:

You score 1 standard deviation above the mean

a) we have from left tail up to the mean 50 % of all values

b) We have in the interval  [ μ  -  σ  ;  μ  +  σ ] 95.5 % of all possible values, if we divide that 95.5 by 2 we get 47.75 %,  the part of the values that correspond to the right, then in order to get the  % of students scored lower we add

50  +  47.75   = 97.75 %

So you can say that the porcentage of students that scored lower than you is 97.75 %

3 0
3 years ago
If a rectangle has perimeter of 70 a length of x and a width of x-9, find the value of the length of a rectangle
iren2701 [21]

Answer:

length = 22

width = 13

Step-by-step explanation:

Perimeter of a rectangle is given by the formula

P =2(l+w)

we know the length is x

width is x-9

P =70

Substituting this into the equation

70 = 2(x+x-9)

Combining like terms

70=2(2x-9)

Distributing the 2

70 = 4x-18

Adding 18 to each side

70+18 = 4x-18+18

88 = 4x

Divide by 4

88/4 = 4x/4

22= x

we know the length is x

length = 22

width is x-9

width = 22-9= 13

7 0
3 years ago
Read 2 more answers
A man invests $8 000 at 12% simple interest for 3 years. If he invests the same amount of money for the same time period at 12%
AleksandrR [38]

Answer:

  $359.42

Step-by-step explanation:

The difference in the investment values can be computed by making use of the formulas for the account balance in each case.

  compound interest: A = P(1 +r)^t . . . . interest at rate r compounded annually

  simple interst: A = P(1 +rt) . . . . simple interest at rate r

__

The account earning simple interest will have a balance of ...

  A = $8000(1 +0.12×3) = $10,880

The account earning compound interest will have a balance of ...

  A = $8000(1 +0.12)^3 ≈ $11,239.42

The difference between the two investments is ...

  $11,239.42 -10,880 = $359.42

5 0
2 years ago
If the vehicles are divided evenly between the sections, how many vehicles are in each section?
solmaris [256]
That would depend on how many vehicles there are. The question is not complete.
5 0
3 years ago
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