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Tems11 [23]
3 years ago
13

How to turn a fraction into a percentage?

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0
Convert the fraction<span> to a decimal number. The </span>fraction<span> bar between the top number (numerator) and the bottom number (denominator) means "divided by." So converting a </span>fraction <span>such as 1/4 to a decimal means you need to solve the math: 1 divided by 4.

i hope i helped

</span>
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The speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone Company, reports it
brilliants [131]

Answer:

(a) 11.25 and 1.68  

(b) 0.1651

(c) 0.3903

(d) 0.6865

Step-by-step explanation:

We are given that GTC, the Georgetown Telephone Company, reports it can resolve customer problems the same day they are reported in 75% of the cases and suppose the 15 cases reported today are representative of all complaints.

This situation can be represented through Binomial distribution as;

P(X=r)= \binom{n}{r}p^{r}(1-p)^{n-r} ; x = 0,1,2,3,....

where,  n = number of trials (samples) taken = 15

             r = number of success

             p = probability of success which in our question is % of cases in

                  which customer problems are resolved on the same day, i.e.;75%

So, here X ~ Binom(n=15,p=0.75)

(a) Expected number of problems to be resolved today = E(X)

            E(X) = \mu = n * p = 15 * 0.75 = 11.25

    Standard deviation = \sigma = \sqrt{n*p*(1-p)} = \sqrt{15*0.75*(1-0.75)} = 1.68

(b) Probability that 10 of the problems can be resolved today = P(X = 10)

     P(X = 10) = \binom{15}{10}0.75^{10}(1-0.75)^{15-10}

                    = 3003*0.75^{10} *0.25^{5} = 0.1651

(c) Probability that 10 or 11 of the problems can be resolved today is given by = P(X = 10) + P(X = 11)

    = \binom{15}{10}0.75^{10}(1-0.75)^{15-10}+\binom{15}{11}0.75^{11}(1-0.75)^{15-11}

    = 3003*0.75^{10} *0.25^{5} + 1365*0.75^{11} *0.25^{4} = 0.3903

(d) Probability that more than 10 of the problems can be resolved today is

    given by = P(X > 10)

P(X > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)  

= \binom{15}{11}0.75^{11}(1-0.75)^{15-11}+\binom{15}{12}0.75^{12}(1-0.75)^{15-12} + \binom{15}{13}0.75^{13}(1-0.75)^{15-13}+\binom{15}{14}0.75^{14}(1-0.75)^{15-14} + \binom{15}{15}0.75^{15}(1-0.75)^{15-15}

= 1365*0.75^{11} *0.25^{4} + 455*0.75^{12} *0.25^{3}+105*0.75^{13} *0.25^{2} + 15*0.75^{14} *0.25^{1}+1*0.75^{15} *0.25^{0}

= 0.6865

3 0
3 years ago
Simplify the expression 2 × 36 − 24 ÷ 6
marin [14]

Answer:

68

Step-by-step explanation:

P- parentheses

E- exponential

M- multiplication

D- division

A- addition

S- subtraction

2 x 36 = 72

72 - 24 ÷ 6

24 ÷ 6 = 4

72 - 4 = 68

3 0
2 years ago
Read 2 more answers
The ratio of blue marbles to green marbles in the box is 13 to 24.
Papessa [141]

Answer:

37

Step-by-step explanation:

13 blue

24 green

4 0
2 years ago
Carl and rita at breakfast at the local diner. Their bill came to $11.48. They gave their waitress a tip that wad 25% of the bil
WINSTONCH [101]

Answer:

(11.48*25%)+11.48


Step-by-step explanation:


4 0
3 years ago
A pyramid-shaped hip roof is a good choice for a house in an area with many hurricanes. What is the volume of the roof to the ne
Lubov Fominskaja [6]

The volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.

<h3>How to find the volume of the composite figures?</h3>

To find the volume of the composite figures, follow the steps listed below:,

  • Separate the figure.
  • Calculate the volume of each figure by which the composite figure is made of.
  • Add the volume of all the individual figures to get the total volume of composite figures.

A pyramid-shaped hip roof is a good choice for a house in an area with many hurricanes. The volume of the roof is:

V=\dfrac{1}{3}(\text{length x width x height})\\V=\dfrac{1}{3}40\times40\times20\\V\approx10667\rm\; ft^3

The volume of the room is:

V=length x width x height

V=40 x 40 x 30

V=48000 ft³

The volume of the entire house, including the roof, is,

V=10667+48000

V=58667 ft³

Thus, the volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.

Learn more about the volume of composite figures here;

brainly.com/question/1205683

#SPJ1

7 0
1 year ago
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