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kykrilka [37]
2 years ago
10

At a Marine Corps military base there is a barbershop where the actual output from each chair is 12 haircuts per hour. It operat

es with an efficiency of 85%. If the base needs to have 650 haircuts a day how many barber chairs should there be if the barber shop is open 10 hours per day
Mathematics
1 answer:
Aleksandr [31]2 years ago
3 0

Answer:

Barbers= 5.41= 6 barbers

Step-by-step explanation:

Giving the following formula:

Haircuts per hour= 12

Number of hours= 10

Haircuts needed= 650

<u>First, we need to calculate the number of haircuts each barber can make per day:</u>

Haircuts per barber a day= 12*10= 120 haircuts

<u>Now, the number of barbers needed:</u>

Barbers= total haircuts / haircuts per day

Barbers= 650/120

Barbers= 5.41= 6 barbers

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True or False: The domain is the input and x-values of a function table.
S_A_V [24]

Answer:

True

The domain is the input and the range is the output.

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2 years ago
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There are 5 questions on a multiple choice exam, each with five possible answers. If a student guesses on all five questions, wh
Mrac [35]

Answer:

20.5\%

Step-by-step explanation:

Let's write out a case for two specific questions being correct and the rest being incorrect:

\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5},

The \frac{1}{5} represents the chances of getting the question correct, as there are 5 answers and 1 correct answer choice.

The \frac{4}{5} represents the chances of getting the question incorrect, as there are 5 answers and 4 incorrect answer choices.

The equation above does show the student getting two answers correct and three answers incorrect, but it only shows one possible case of doing so.

We can choose any two of the five questions to be the ones the student gets correct. Therefore, we need to multiply this equation by the number ways we can choose 2 from 5 (order doesn't matter): \binom{5}{2}=10.

Therefore, the probability the student gets two questions correct is:

\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \binom{5}{2}=\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot 10=0.2048\approx \boxed{20.5\%}

6 0
3 years ago
BRAINLIEST ANSWER TO FIRST ANSWERER!!!!!
krok68 [10]

Answer:

Option C \frac{1}{2}(185\°-x\°)=76\°

Step-by-step explanation:

we know that

The measurement of the <u>exterior angle</u> is the semi-difference of the arcs it comprises

so

76\°=\frac{1}{2}(arc\ ST-arc\ XZ)

we have

arc\ ST=185\°

arc\ XZ=x\°

substitute

76\°=\frac{1}{2}(185\°-x\°)

Rewrite

\frac{1}{2}(185\°-x\°)=76\°


4 0
3 years ago
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Please help!
olganol [36]
<span>The area to be determined is a segment of the circle.

Since central angle is 120 degrees and 120/360 = 1/3
area of sector of circle is (1/3)*36pi = 12pi
For the area of triangle, you can split it into 2 30-60-90 right triangles with sides 3:3sqrt3:6
thus base of triangle is 6sqrt3 and height is 3

Area = 1/2 * 3* 6sqrt3 = 9sqrt3 -->
segment area = 12pi - 9sqrt3</span>
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3 years ago
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