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4 years ago

3s + 9c = $75 8s + 5c = $67

Mathematics

2 answers:

otez555 [7]4 years ago

6 0

Answer:

s=4, c=7. (4, 7).

Step-by-step explanation:

3s+9c=75

8s+5c=67

----------------

simplify 3s+9c=75 into s+3c=25,

-------------------

s+3c=25

8s+5c=67

----------------

s=25-3c

8(25-3c)+5c=67

200-24c+5c=67

200-19c=67

19c=200-67

19c=133

c=133/19

c=7

s+3(7)=25

s+21=25

s=25-21

s=4

cestrela7 [59]4 years ago

3 0

Answer:

s=4& c=7

Step-by-step explanation:

3(4)+9(7)=$75

8(4)+5(7)=$67

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Answer:

(a) 11.25 and 1.68

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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

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

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

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

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= 0.6865

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