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3 years ago

9

A party rental company has chairs and tables for rent. the total cost to rent 5 chairs and 3 tables is $ 27. The total cost to r

ent 2 chairs and 12 tables is $81.
cost to rent each chair=

cost to rent each table=

1 answer:

8090 [49]3 years ago

3 0

Answer:

14 and 16

Step-by-step explanation:

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The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen

vfiekz [6]

Answer:

a) 0.2581

b) 0.4148

c) 17

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$p = 0.75$

a. If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X = 9)$ when $n = 12$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{12,9}.(0.75)^{9}.(0.25)^{3} = 0.2581$

b. If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is $P(X \geq 16)$ when $n = 20$

So

$P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 16) = C_{20,16}.(0.75)^{16}.(0.25)^{4} = 0.1897$

$P(X = 17) = C_{20,17}.(0.75)^{17}.(0.25)^{3} = 0.1339$

$P(X = 18) = C_{20,18}.(0.75)^{18}.(0.25)^{2} = 0.0669$

$P(X = 19) = C_{20,19}.(0.75)^{19}.(0.25)^{1} = 0.0211$

$P(X = 20) = C_{20,20}.(0.75)^{20}.(0.25)^{0} = 0.0032$

So

$P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1897 + 0.1339 + 0.0669 + 0.0211 + 0.0032 = 0.4148$

c. If you call 22 times, what is the mean number of calls that are answered in less than 30 seconds? Round your answer to the nearest integer.

The expected value of the binomial distribution is:

$E(X) = np$

In this question, we have $n = 22$

So

$E(X) = 22*0.75 = 16.5$

The closest integer to 16.5 is 17.

7 0

3 years ago

Identify Like terms : 3y2, 2/3x, -3/4y2, 5x, 12x2

wel

3y^2 and -3/4y^2
5x and 2/3x
12x^2

4 0

3 years ago

For each function, find f(-1), f(1), and f(3)<br> f(x)=3x-4

Anna [14]

Answer:

f(x)= 3x-4

f(-1)= 3*-1-4

f(-1)= 2-4

f(-1)= -2

f(x)= 3x-4

f(3)= 3*3-4

f(3)= 9-4

f(3)=5

f(x)= 3x-4

f(1)= 3*1-4

f(1)= 3-4

f(1)= -1

Step-by-step explanation:

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2 years ago

What is the equation, in point-slope form, of the line that is

svlad2 [7]

Answer:

Step-by-step explanation:

this does not make since please wright it agina so we can understand it better.

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3 years ago

Please helppppppppp btw the lines on top stand for the dots .

Nastasia [14]

I think it's -8 and 6

6 0

3 years ago