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3 years ago

A,B and C are coplanar.truefalse

Mathematics

2 answers:

Yuri [45]3 years ago

8 0

Fasle false false false false

12345 [234]3 years ago

5 0

Answer:

Step-by-step explanation:

is TRUE

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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 $n = 20$

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

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

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

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

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

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

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

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

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 $n = 22$

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

The closest integer to 16.5 is 17.

7 0

3 years ago

Find the distance<br> (8,1)(-2,-5)

Natalija [7]

Answer:

Square root of {(-2-8)^2+ (-5-1)^2}

Square root of {(-10)^2 + (-6)^2}

Square root of 100 +36

Square root of 136 = 11.66

Distance is 11.66

3 0

3 years ago

How to do two step equlaity work problems

USPshnik [31]

Answer:

can you be more specific? give a problem

Step-by-step explanation:

5 0

3 years ago

Finding Slopes of Perpendicular Lines

MA_775_DIABLO [31]

Answer:

1. d - b

2. -d (-b)

3. -d + b

Step-by-step explanation:

202 on edg yakdvb

7 0

3 years ago

Helppppp idk how to do that?

frozen [14]

Answer: a). 136 degree. b). A kite

Explanation:

360 = POR + OPT + ORT + 44

OPT = ORT = 90 (line TP and TR tangent to the circle)

360 = POR + 90 + 90 + 44
POR = 360 - 224
POR = 136

B). OPTR is a kite because OP = OR and TP = TR

Definition of a kite:

A quadrilateral whose 4 sides can be grouped into two pairs of equal sides that are adjacent to each other.

3 0

3 years ago