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Irina-Kira [14]
3 years ago
8

A survey found that 35% of callers complain about the service they receive from a call center. Assume that the events of differe

nt calls resulting in a complaint are independent. What is the probability that two out of the next five calls produce a complaint?
Mathematics
1 answer:
sasho [114]3 years ago
6 0

Answer:

0.336 or 33.6%

Step-by-step explanation:

It follows from the question that the probability of a complaint is 35% = 35/100 = 0.35. Let's call this probability, p.

The probability of no complaint is mutually exclusive of p since both are complements. Let's call this q. Then

q = 1 - p = 1 - 0.35 = 0.65

The distribution is a binomial distribution.

Events of each call are independent.

The probability of 2 calls with complaint out of 5 is

\binom{5}{2}p^2 \timesq^3=10\times0.35^2\times0.65^3 = 0.336 = 33.6\%

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JulsSmile [24]

Answer: 30.048

Try a calculator, it can help a lot!

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3 years ago
Maria took out an unsubsidized Stafford loan of $6,925 to pay for college. She plans to graduate in 4 years. The loan had a dura
Finger [1]

Answer:

$144.70

Step-by-step explanation:

Calculation to determine how much greater will the amount of interest capitalized be than the minimum amount that she could pay to prevent interest capitalization

First step is to determine the Interest only monthly repayments

Using this formula

I=Prt

where,

P=$6925

r=0.05/1

t=1

Let plug in the formula

I=6925*0.05/12

I= $28.854166666

Second step is to determine the amount she will owe after 4 years

Using this formula

S=P(1+r)n

Let plug in the formula

S=6925*(1+0.05/12)4*12

S=6925*(1+0.05/12)48

S=$8454.70

Third step is to determine the Interest part

Interest =8454.70 - 6925

Interest = $1529.70

Now let determine the how much greater will the amount of interest capitalized be

Interest capitalized=1529.70 - 1385.00

Interest capitalized =$144.70

Therefore how much greater will the amount of interest capitalized be than the minimum amount that she could pay to prevent interest capitalization is $144.70

4 0
3 years ago
Solve the following system of equations graphically.
fiasKO [112]

Step-by-step explanation:

work is shown and pictured

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3 years ago
TRUE or FALSE: In the quarter circle, the radius is 4 cm and the diameter is 8 cm.
viktelen [127]

Answer: False.

Step-by-step explanation:

There does not exist a "quarter circle" as a circle with a radius of 4 units, the only notable circle that does exist is the unit circle, that is the circle where the radius is equal to 1, represented by the equatin x^2 + y^2 = 1

The term "quarter circle" actually does refer to a fourth part of a circle, not to a circle of radius 4.

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6 0
3 years ago
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shepuryov [24]
In the question, there are certain information's that are of immense importance in regards to finding the answer. The first information is that Jose Rivera had purchased 7 textbooks for his classes at River Run Community College. The price that Jose Rivera had to pay was $208.55. The average cost per textbook needs to be found.
The cost of 7 textbooks purchased by Jose Rivera = 208.55 dollars
Then
The cost of 1 textbook purchased by Jose Rivera = (208.55/7) dollars
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The average cost of a textbook purchased by Jose Rivera rounded to the nearest cent is 29.80 dollars.
6 0
3 years ago
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