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MariettaO [177]
3 years ago
6

An excavating company charges $300 an hour for the use of a backhoe and $500 an hour for the use of a bulldozer. (part of an hou

r counts as a full hour. ) The company employs one operator for 40 hours per week to operate the machinery. If the company wants to bring in at least $18,400 each week from equipment rental, how many hours per week can it schedule the operator to use a backhoe?
Mathematics
1 answer:
Fed [463]3 years ago
4 0

We have that

Cost use of a backhoe----------------------$300 an hour

<span> Estimate for equipment rental each week---------------------$18,400</span>

Total hours operator per week--------------------------------------40

<span> 40*300</span>=$12000---------------------it is the cost per week to use a backhoe

 $12000<$18400  is ok 

<span> The maximum of hours that I can rent </span>a backhoe <span> are 40 hours, since it is the limit of the operator and it do not overcome the total budget </span>

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The weights of steers in a herd are distributed normally. The variance is 40,00040,000 and the mean steer weight is 1400lbs1400
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Answer:

P(1739

(Correct to 4 decimal places)

Step-by-step explanation:

The probability of a continuous normal variable X found in a particular interval [a, b] is the area under the curve bounded by x=a and x=b and is given by:

P(a

where

f(X)=\frac{1}{\sigma \sqrt{2 \pi} }e^{-\frac{1}{2} (\frac{x-u}{ \sigma} )^2}



f(X)=\frac{1}{200 \sqrt{2 \pi} }e^{-\frac{1}{2} (\frac{x-1400}{ 200} )^2}\\=\frac{1}{200 \sqrt{2 \pi} }e^{- \frac{(x-1400)^2}{ 80000}\\

P(1739

P(1739

Using a calculator,

P(1739

5 0
3 years ago
Read 2 more answers
Ou have found a house that you would like to purchase. The amount of the home is $225,000. You would like to finance the home th
Tpy6a [65]

Answer:

  A.  $22,500

Step-by-step explanation:

10% = 10/100 = 1/10

To divide a decimal number by 10, move the decimal point one place to the left (remove a zero):

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5 0
3 years ago
B. At the circus, three adult tickets and five child tickets cost $51, and five adult tickets
allsm [11]

Answer: x = $7, y = $6

Step-by-step explanation:

Let x be the cost of an adult ticket

Let y be the cost of a children's ticket

Translate these sentences to algebra:

At the circus, three adult tickets and five child tickets cost $51: 3x + 5y = 51

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Now we have two equations. Let's use substitution to solve.

3x + 5y = 51

3x = 51 - 5y

.: x = 17 - 5y/3

Now substitute this value of x into the second equation to find the numerical value of y:

5(17 - 5y/3) + 2y = 47

85 - 25y/3 + 2y = 47

-19y/3 = -38

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Now find x:

x = 17 - 5y/3

x = 17 - 10

.: x = 7

So an adult ticket costs $7, and a child ticket costs $6 :)

3 0
3 years ago
Which graph represents this equation?<br> y = 1/2x^2 + 2x - 6
s2008m [1.1K]

Answer:

C

Step-by-step explanation:

y = 1/2x^2 + 2x - 6

When, x = 0, y = - 6

you don't need to find another variable. Because in number C u can find a graph that has y= -6 when x =0.

6 0
3 years ago
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