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postnew [5]
3 years ago
5

A line's slope is 2 ,and its y-intercept is 2. What is its equation in slope -intercept

Mathematics
1 answer:
solong [7]3 years ago
4 0

Answer:

y=2x+2

y=slope x plus y int

so with a slope and y intercept of two that's what you get

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The probability that your call to a service line is answered in less than 30 seconds is 0.85. Assume that your calls are indepen
aev [14]

Answer:

a) 0.1720

b) 0.8298

c) 19

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 = 0.85

(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}.(0.85)^{9}.(0.15)^{3} = 0.1720

(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}.(0.85)^{16}.(0.15)^{4} = 0.1821

P(X = 17) = C_{20,17}.(0.85)^{17}.(0.15)^{3} = 0.2428

P(X = 18) = C_{20,18}.(0.85)^{18}.(0.15)^{2} = 0.2293

P(X = 19) = C_{20,19}.(0.85)^{19}.(0.15)^{1} = 0.1368

P(X = 20) = C_{20,20}.(0.85)^{20}.(0.15)^{0} = 0.0388

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1821 + 0.2428 + 0.2293 + 0.1368 + 0.0388 = 0.8298

(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*0.85 = 18.7

The nearest integer to 18.7 is 19.

7 0
3 years ago
Pls Help! Award 100 pts!!!
Vilka [71]

Answer:

y=1x+3

3 is where the line hits the y axis

<u>1</u>

1 is how munch it rises/goes to the side

7 0
3 years ago
Read 2 more answers
What is a real world example of rate of change
Tatiana [17]

Answer:

Step-by-step explanation:

A population of rats increasing by 40 rats per week. A car traveling 68 miles per hour  

distance traveled changes by 68 miles each hour as time passes)

3 0
3 years ago
What is the measure of angle ACB in this triangle
Mrrafil [7]
So, angles A and B added together is 130° which makes the whole angle = 180°-130°=50°

The answer is 180° because it is a supplementary angle and all supplementary angles equal 180° so, all the angles added makes 180°
7 0
3 years ago
It takes 40 minutes for 8 people to paint 4 walls. How many minutes does it take 19people to paint 7 walls?
Slav-nsk [51]
Hey hey!


56 would be the answer.

WAIT, don’t leave just yet! You have to show at least some work! You CANT learn if you don’t know what you’re doing.

Here’s how I got the answer:

7:4 walls = 10:8 people =M:40 minutes
M = (7/4) / (10/8) x 40
M = 56 minutes.

If that helped let me know by hitting the thanks button or reply with any help you need.

Have a FABULOUS DAYYY!


3 0
3 years ago
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