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Fed [463]
3 years ago
15

If Benito earns $187.50 for 12.5 hours of work, how many hours must he work to earn $465.00?

Mathematics
2 answers:
USPshnik [31]3 years ago
7 0

Answer:

31 hours.

Step-by-step explanation:

Hello, I think I can help you with this

you can solve this easily using a simple rule of three

Step one

define the relation and solve for x

if

$187.50⇒12.5 hours

$465.00⇒x hours?

\frac{187.50}{12.5}=\frac{465}{x} \\isolate\ x\\\frac{187.50*x}{12.5}=465\\x=\frac{465*12.5}{187.50} \\x=31

Hence, Benito must to work 31 hours

I hope it helps, Have a great day.

EastWind [94]3 years ago
6 0

divide 187.50 by 12.5 to find hourly rate

187.50/12.50 = 15 dollars per hour

now divide 465 by 15 for number of hours

465/15 = 31 hours

 double check by multiplying 31 by 15 ( 31 x 15 = 465)

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3/5 of a condductors club went on a camping trip. 39 people went how mant stayed home
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39 *5 = 195 / 3 = 65

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7 0
3 years ago
According to the last census (2010), the mean number of people per household in the United States is LaTeX: \mu = 2.58 Assume a
Veseljchak [2.6K]

Answer:

P(2.50 < Xbar < 2.66) = 0.046

Step-by-step explanation:

We are given that Population Mean, \mu = 2.58 and Standard deviation, \sigma = 0.75

Also, a random sample (n) of 110 households is taken.

Let Xbar = sample mean household size

The z score probability distribution for sample mean is give by;

             Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)

P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar \leq 2.50)

P(Xbar < 2.66) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{2.66-2.78}{\frac{0.75}{\sqrt{110} } } ) = P(Z < -1.68) = 1 - P(Z  1.68)

                                                              = 1 - 0.95352 = 0.04648

P(Xbar \leq 2.50) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } \leq \frac{2.50-2.78}{\frac{0.75}{\sqrt{110} } }  ) = P(Z \leq  -3.92) = 1 - P(Z < 3.92)

                                                              = 1 - 0.99996 = 0.00004  

Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046

7 0
3 years ago
Please help I will give out brainliest I have done the first one already.
pentagon [3]

Answer:

In drawing an elevation drawing, there are four or five views of the sides of an object which may be displayed including the front, rear,  and sides of the object

The elevation drawing is a scaled horizontal orthographic projection showing one side of an object to  a plane vertical parallel to the object's sides so as to depict the appearance of the completed object appearance

The required elevation is included in the attached diagram

Step-by-step explanation:

3 0
3 years ago
What is an equation of the line that passes through the points (2,5) and
harkovskaia [24]
Y-5=-1/2(X-2)
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3 0
2 years ago
Frank purchased a boat for $7,525. He made a down payment of $475. He applied for a six-year installment loan with an interest r
zhenek [66]

Answer:

$10,603.20

Step-by-step explanation:

You can calculate the simple interest of the loan using the formula:

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p = $7,050

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To find the total cost of the boat, add the interest and the purchase price:

$7,525 + $3,553.20 = $11,078.20

8 0
3 years ago
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