3x – 2y = 24<br> x + 2y = 48<br> whats x and whats y

Nicole has 27 cars available to rent.

Schach [20]

Answer

27 - R = C

if she rented 16 of them then

27 - 16 = C And C = 11

3 0

3 years ago

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

In a homicide case 6 different witnesses picked the same man from a line up. The line-up contained 5 men. If the identifications

Vedmedyk [2.9K]

Answer:

since we have 6 witnesses and 5 men so,

therefore the probability that they would pick the same man is $\frac{5}{6} =0.83333$ to 5 decimal places

Step-by-step explanation:

probability is the likelihood of an event occurring or not happening.

6 0

3 years ago

Multiply the following numbers. Reduce the lowest terms.

NeX [460]

Answer:

What are the numbers?

Step-by-step explanation:

5 0

2 years ago

Write an equation in point-slope form for the line that satisfies the given set slope of 4/5, passes through (10,-30

hodyreva [135]

Answer:

y + 30 = 4/5(x - 10)

Step-by-step explanation:

Given the slope, 4/5, and point (10, -30):

We can plug these values into the point-slope form:

y - y1 = m(x - x1)

Let (x1, y1) = (10, -30)

and m = 4/5

y - (-30) = 4/5(x - 10)

y + 30 = 4/5(x - 10)

Therefore, the point-slope form is y + 30 = 4/5(x - 10)

7 0

3 years ago

3x – 2y = 24 x + 2y = 48 whats x and whats y