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omeli [17]
3 years ago
5

A mowing company charges $840 plus $17 per hour. Another moving company charges $760 plus $22 per hour. How long is a job that c

osts the same no matter which company is used?
Mathematics
1 answer:
Korvikt [17]3 years ago
3 0

Answer: 16 hours

Step-by-step explanation:

The two equations are:

840 + 17x

and

760 + 22x

with x being the amount of hours

840 + 17x = 760 + 22x  

-760

80 + 17x = 22x

-17x

80 = 5x

/5

16 = x

840 + 17(16) = 1,112

760 + 22(16) = 1,112

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What conclusion can be determined from the dot plot below?
Mariulka [41]
The answer is D because the median is 4, the mean is 4, and the range is 4
4 0
3 years ago
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You are planning on applying to the Knirhsdaeh institute as a psychology counselor. They hire millions of psychologists around t
elena-14-01-66 [18.8K]

Answer:

The 98% of the confidence interval for the true average salary of Knirhsdaeh employees as a psychology counselor

(75.4206, 86.5794)

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the mean of the sample = $81 k</em>

<em>Given that the size of the sample 'n' = 23</em>

<em>Given that the standard deviation for the salaries is $13 k</em>

<u><em>Step(ii):-</em></u>

<u><em>98% of the confidence interval for the true average salary of Knirhsdaeh employees is determined by</em></u>

<u><em /></u>(x^{-} - t_{0.02} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S.D}{\sqrt{n} })<u><em /></u>

<u><em>Degrees of freedom = n-1 = 23-1 =22</em></u>

<u><em /></u>t_{0.02} = 2.5083<u><em /></u>

(81 - 2.0583 \frac{13}{\sqrt{23} } , 81 + 2.0583 \frac{13}{\sqrt{23} } )

( 81 - 5.57940 , 81 + 5.57940)

(75.4206, 86.5794)

<u><em>Final answer:-</em></u>

The 98% of the confidence interval for the true average salary of Knirhsdaeh employees as a psychology counselor

(75.4206, 86.5794)

7 0
3 years ago
The area of a rectangle is 60 square inches. The length is x – 3, and the width is x + 8. Find the value of x, and the dimension
Vikki [24]

Answer:

x = 7

Length = 4 inches , Width = 15 inches

Step-by-step explanation:

<em>PART</em><em> </em><em>1</em><em> </em><em>:</em>

Area of rectangle = Length × Width

A = L × W

L = x - 3

W = x + 8

Therefore:

A = L × W

60 = ( x - 3 ) ( x + 8 )

( x - 3 ) ( x + 8 ) - 60 = 0

x^2 + 8x - 3x - 24 - 60 = 0

x^2 + 5x - 84 = 0

x^2 + 12x - 7x - 84 = 0

x ( x + 12 ) - 7 ( x + 12 ) = 0

( x + 12 ) ( x - 7 ) = 0

THEREFORE:

x = - 12 , x = 7

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

<em>PART</em><em> </em><em>2</em><em> </em><em>:</em>

L = x - 3

L = ( - 12 ) - 3

L = - 15

OR

L = ( 7 ) - 3

L = 4

THEREFORE:

Length can not be a negative number. Hence, L can not equal to - 15.

L = 4 inches

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

W = x + 8

W = ( 7 ) + 8

THEREFORE:

W = 15 inches

5 0
3 years ago
Rosa bought d drawings to and art show. After selling 14 of them she had 34 left. Identify the equation that represents this sit
Alexxx [7]

Answer:

14+34=d hope this helps

7 0
3 years ago
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She is paid every OTHER week.....so she is gonna get paid : 52/2 = 26 times

26(2633.65) = 68474.90

plus she gets a bonus of 10% of her yearly salary
68474.90 (1.10) = 75322.39 rounds to 75322 <===
5 0
3 years ago
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