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2 years ago

Find x. a) 100 b) 50 c) 80 d) 130

Mathematics

2 answers:

Sati [7]2 years ago

3 0

Answer:

I think it's D

Step-by-step explanation:

forsale [732]2 years ago

3 0

The answer is D

Also I really need brainliest please

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The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes

andre [41]

Answer:

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

In this question, we have that:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that $m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833$

(a) What is the probability that more than three customers arrive in 10 minutes

This is P(X > 3). So

$P(X > 3) = e^{-0.0833*3} = 0.7788$

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

6 0

3 years ago

What is the difference between 4 and 62<br> 2.

Naddik [55]

Answer:

6214

Step-by-step explanation:

you round up 62 and 4 20 times and that is your answer but for give me if this answer wrong

4 0

3 years ago

A survey was taken of 100 potential voters, asking them which candidate they would vote for in a local election. The results are

In-s [12.5K]

Candidate X won 63 out of the 100 "votes" of the poll participants.

So candidate X won 63% of the votes in the poll.

This means that candidate X is expected to win the elections by a percentage close to 63%.

63% of the voters is (63/100)*5000=63*50=3150 voters

Answer: 3150

7 0

2 years ago

Which equation has no real solutions?

olasank [31]

Answer:

Step-by-step explanation:

−b±√b2−4ac

−(2)±√(2)2−4(2)(15)

2(2)

−2±√−116

and there is really no solution

6 0

2 years ago

Write an equation in slope-intercept form of<br> the line that passes through (-6,4) and<br> (-1,2).

xz_007 [3.2K]

Answer:

Step-by-step explanation:

(-6 , 4) & (-1 , 2)

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$= \frac{2-4}{-1-[-6]}\\\\= \frac{-2}{-1+6}\\\\= \frac{-2}{5}$

m = -2/5 & (-6 , 4)

y -y1 = m(x -x1)

$y - 4 = \frac{-2}{5}(x - [-6])\\\\y - 4 = \frac{-2}{5}(x + 6)\\\\y - 4 = \frac{-2}{5}x + 6*\frac{-2}{5}\\\\y = \frac{-2}{5}x -\frac{12}{5}+4\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{4*5}{1*5}\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{20}{5}\\\\y=\frac{-2}{5}x+\frac{8}{5}$

6 0

2 years ago