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3 years ago

HELP ITS AN EMERGENCY

Mathematics

1 answer:

forsale [732]3 years ago

7 0

Answer:

<u>A. Vertex: (1, -8); x-intercepts: -1 and 3</u>

Step-by-step explanation:

The vertex is the point of the parabola. Basically, the part where the parabola 'scoops' up.

So the point where it scoops up is (1, -18)

The x-intercepts are the points where the line or shape touches the x-axis. The x-axis is the lines that goes from left to right.

The places where it touches the x-axis is -1 and 3

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The caller times at a customer service center has an exponential distribution with an average of 22 seconds. Find the probabilit

jenyasd209 [6]

Answer:

The probability that a randomly selected call time will be less than 30 seconds is 0.7443.

Step-by-step explanation:

We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.

Let X = caller times at a customer service center

The probability distribution (pdf) of the exponential distribution is given by;

$f(x) = \lambda e^{-\lambda x} ; x > 0$

Here, $\lambda$ = exponential parameter

Now, the mean of the exponential distribution is given by;

Mean = $\frac{1}{\lambda}$

So, $22=\frac{1}{\lambda}$ ⇒ $\lambda=\frac{1}{22}$

SO, X ~ Exp( $\lambda=\frac{1}{22}$ )

To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;

$P(X\leq x) = 1 - e^{-\lambda x}$ ; x > 0

Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)

P(X < 30) = $1 - e^{-\frac{1}{22} \times 30}$

= 1 - 0.2557

= 0.7443

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3 years ago

Why why why do i have to watch ads

MakcuM [25]

Answer:

Because you didnt pay for brainly.

If you do, no adds :D

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3 years ago

Read 2 more answers

Biking at 12 mph, it takes Kristen hour to reach the train station to go to work. Kristen then takes the train to work, and it t

LenKa [72]

Answer:

d = 19 mi

Step-by-step explanation:

Total dist = bike dist + train dist

d = 12(.5) + 20(.5)

d = 6 + 13

d = 19 mi

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3 years ago

A right triangle has a hypotenuse length of 12, and one side length of 9. find the missing side length. do the side lengths form

Rina8888 [55]

Use the Pythagorean theorem:

$a^2+b^2=c^2$

c - a hypotenuse

a, b - legs

We have: a = 9 and c = 12. Substitute:

$9^2+b^2=12^2$

$81+b^2=144$ <em>subtract 81 from both sides</em>

$b^2=63\to b=\sqrt{63}\\\\b=\sqrt{9\cdot7}\\\\b=\sqrt9\cdot\sqrt7\\\\ \boxed{b=3\sqrt{7}}$

A Pythagorean triple consists of three positive integers a, b and c, such that

$a^2+b^2=c^2$ .

$b=3\sqrt{7}$ is not positive integer.

<h3>The sides of the triangle do not form a pythagorean triple.</h3>

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3 years ago

What percent of $90 = $45

Lynna [10]

45 is exactly half of 90
that means 45 is 50% of 90.

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3 years ago