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timofeeve [1]
2 years ago
14

An independent third party found the cost of a basic car repair service for a local magazine. The mean cost is $217.00 with a st

andard deviation of $11.40. Which of the following repair costs would be considered an “unusual” cost?
A.
$233.87
B.
$221.65
C.
$192.53
D.
$197.24
Mathematics
1 answer:
I am Lyosha [343]2 years ago
4 0
In this problem, the approach to solve the unusual value is to assume that the distribution used is a normal distribution. A normal distribution assumes that the mean is equal to zero, the area under the curve is 1 and that the standard deviation is equal to 1. In this case, we use the given mean and standard deviation to determine their corresponding ranges.

First range: mean +- SD
x1 = 217 + 11.4 = 228.4
x2 = 217 - 11.4 = 205.6
This only eliminates one option hence we move next to 2SD

Second range: mean +-2SD 
x1 = 217 + 2*11.4 = 239.8
x2 = 217 -2*11.4 = 194.2

This leaves option C not included in this range, hence C is the answer to this problem.
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A campus radio station surveyed 500 students to determine the types of music they like. the survey revealed that 199 like rock,
Ostrovityanka [42]
<span>There are 24 who like both rock and country. There are 8 who like all 3 types, and these eight have been counted under the 24. This means that the number who like rock and country but not jazz is 24 - 8 = 16.
We are given a total of 155 who like country. We subtract the 16 who like both rock and country, and are left with 139 people who like country but not rock. (It does not matter whether they like jazz or not).
The probability is 155 out of the total of 500, so 155/500 = 31/100 = 0.31.
</span>
6 0
2 years ago
A company administers an "aptitude test for managers" to aid in selecting new management trainees. Prior experience suggests tha
RoseWind [281]

Answer:

0.94

Step-by-step explanation:

The question after this basically is:

<em>"If the applicant passes the "aptitude test for managers", what is the probability that the applicant will succeed in the management position?"</em>

<em />

So,

P(successful if hired) = 60% = 0.6 [let it be P(x)]

P(success at passing the test) = 85% = 0.85   [let it be P(y)]

P(successful and pass the test) =  P(x) + P(y) -[P(x)*P(y)]

So,

P(successful and pass the test) = 0.6 + 0.85 - (0.6*0.85) = 0.94 (94%)

5 0
2 years ago
For customers purchasing a refrigerator at a certain appliance store, let A be the event that the refrigerator was manufactured
kati45 [8]
The answers are the following:
<span><span><span>P(A)=0.75</span><span>
</span></span><span><span>P(B|A)=0.9
</span></span><span><span>P(B|<span>A′</span>)=0.8
</span></span><span><span>P(C|A∩B)=0.8
</span></span><span><span>P(C|A∩<span>B′</span>)=0.6
</span></span><span><span>P(C|<span>A′</span>∩B)=0.7
</span></span><span><span>P(C|<span>A′</span>∩<span>B′</span>)=0.3</span></span></span>
4 0
2 years ago
The cost of 5 scarves is $91.25. What is the unit price? The unit price is $ per scarf.
NikAS [45]

Answer:

18.25

Step-by-step explanation:

just divide the total cost of scarves by the number of scarves:

91.25 / 5 = 18.25

6 0
2 years ago
Clarissa needs a $2,500 loan in order to buy a car. Which loan option would allow her to pay the least amount of interest?
denis-greek [22]

Answer:

Option A.

Step-by-step explanation:

Clarissa needs a $2,500 loan in order to buy a car.

There are 4 options of loan we will calculate all the options that pay the least amount of interest.

To calculate the interest we will use this formula :

\frac{P\times R\times time}{100}

Where P = Principal amount

R = rate of interest

T = time in years

A) Principal 2,500 interest 4.75% and time 18 months (1.5 years)

\frac{2500\times 4.75\times 1.5}{100}

= $178.125

B) Principal 2,500 interest 4% and time 30 months (2.5 years)

\frac{2500\times 4\times 2.5}{100}

= $250

C) Principal 2,500 interest 4.25% and time 24 months (2 years)

\frac{2500\times 4.25\times 2}{100}

= $212.50

D) Principal 2,500 interest 4.50% and time 36 months (3 years)

\frac{2500\times 4.5\times 3}{100}

= $337.50

The least amount of interest would be in option A.

5 0
2 years ago
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