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DaniilM [7]
1 year ago
14

Help^^^^^^^^^^^^^^^^^

Mathematics
1 answer:
Natalka [10]1 year ago
6 0
Answer: choice D

----------------------------------------------

Work Shown:

I'm assuming the problem is -4*(1-x) <= -12+2x where the first term is -4 and not 4

-4*(1-x) <= -12+2x
-4*(1-x) <= -12+2x
-4+4x <= -12+2x
-4+4x-2x <= -12+2x-2x
-4+2x <= -12
-4+2x+4 <= -12+4
2x <= -8
2x/2 <= -8/2
x <= -4

To graph x <= -4, you plot a closed circle at -4. Then you shade to the left of the closed circle. This matches with choice D
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If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH? 3 units 4 units 5 units 6 units
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I think the points given here are plotted linearly: 

FGHI. in this case, we can tell that FG + GH + HI = FI. substituting to the expression devised, 2 units + GH + 1 unit = 7 units. This is equal to 3 units + GH = 7 units. GH is then equal to 4 units.

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Callie was billed $416.48 for car repairs. She will pay the service center in 4 equal monthly installments from her bank account
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Answer:

her monthly payments will be $104.12

Step-by-step explanation:

she will pay off the entire bill after 4 months

416.48 - 104.12n = 0

-104.12n = -416.48

n = 4

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1 year ago
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Emily is entering a bicycle race for charity. Her mother pledges $0.40 for every 0.25 mile she bikes. If Emily
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Her mother will donate $6 to Emily
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1 year ago
130 students choose to attend one of three after school activities: football, tennis or running. There are 58 boys. 49 students
cestrela7 [59]

Answer:   \dfrac{27}{65}

<u>Step-by-step explanation:</u>

There are 130 students.

There are 58 boys --> 72 girls

A) 49 chose football: 27 are girls --> 22 are boys

B) 72 girls: 24 chose running, 27 chose football --> 21 girls chose tennis

C) 27 students chose tennis: 21 are girls --> 6 are boys.

D) 58 boys: 22 chose football, 6 chose tennis --> 30 boys chose running.

\large\boxed{\begin{array}{l|cc||c}&\underline{Boys}&\underline{Girls}&\underline{Total}\\Football&22&27&49\\Tennis&6&21&27\\\underline{Running}&\underline{\quad 30\quad}&\underline{\quad 24\quad}&\underline{\quad 54\quad}\\Total&58&72&130\end{array}}

Total running = 30 boys + 24 girls = 54

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8 0
2 years ago
The table below shows the ages of houses to the nearest year in a neighborhood. Using the age of the houses as the random variab
Zielflug [23.3K]

Answer:

The probability distribution of X is given by,

P(X = x)  \simeq   0.17    when x = 1

             \simeq   0.22   when x = 2

             \simeq  0.28    when x = 3

             \simeq  0.33    when x = 4

             = 0   otherwise

Step-by-step explanation:

According to the question, X is the random variable denoting age of a house to the nearest year in  a neighborhood.

From the given data we can construct the following table -

Age of house(X)          Frequency     Relative frequency

                                                            (Almost equal to)

1                                       15                     0.17

2                                      20                    0.22

3                                      25                    0.28

4                                      30                    0.33

So, the probability distribution of X is given by,

P(X = x)  \simeq   0.17    when x = 1

             \simeq   0.22   when x = 2

             \simeq  0.28    when x = 3

             \simeq  0.33    when x = 4

             = 0   otherwise

8 0
1 year ago
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