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Fed [463]
2 years ago
7

The new book was only $19.50 but it was another 60% if the author signed it. What will my book cost with an author's signature.

(show your work)
Mathematics
1 answer:
Andrej [43]2 years ago
7 0
So if you take 10% of $19.50, you have $1.95. If you multiply $1.95 by 6, you get $11.70 which is 60% of the original cost of the book. Add $11.70 to $19.50 and you have $31.20.
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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
What is the m Show work
Ghella [55]

Answer:

measure of angle A is 80 degree.

Step-by-step explanation:

isosceles triangle will have same base angles

first base angle is 50, and the second will also be 50

3 angles of a triangle will add up to be 180 degree.

A is the vertex angle.

So 50 + 50 + A = 180

100 + A = 180

A = 80.

8 0
3 years ago
A scatter plot is made comparing x, the number of hours since midnight, with y, the number of lights turned on in a house. What
Zepler [3.9K]

Answer:

7 hours since midnight and 8 lights turned on.

Step-by-step explanation:

(x,y) so 7 is the x and 8 is the y.

8 0
2 years ago
What is 27/36 as a mixed number
Ivan
This fraction cannot be turned into a mixed number but it can be reduced to\frac{3}{4} or 0.75
hope this helps
7 0
3 years ago
Read 2 more answers
Solve the system of equations given . -2x+5y=-3
algol13

For this case we have the following system of equations:

-2x + 5y = -3\\y-15 = 3x

We multiply the second equation by -5:

-5y + 75 = -15x

Now we add the equations:

-2x-5y + 5y + 75 = -3-15x\\-2x + 75 = -3-15x\\-2x + 15x = -75-3\\13x = -78\\x = \frac {-78} {13}\\x = -6

We find the value of the variable "y":

y = 3x + 15\\y = 3 (-6) +15\\y = -18 + 15\\y = -3

THE solution is: (-6, -3)

Answer:

(-6, -3)

3 0
3 years ago
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