All categories

2 years ago

Give small explanation, please help fast...

Mathematics

1 answer:

s2008m [1.1K]2 years ago

4 0

Answer:

Step-by-step explanation:

y = a(x-h)² + k

h = -6

k = - 7/2

h*k = (-6)*(-7/2) = 21

You might be interested in

Suppose that the volume of a right circular cylinder is 500 A cubic

Tanya [424]

The height of the right circular cylinder with volume of 500π cubic centimetre and radius of 5 centimetre is 20 cm.

<h3>Volume of a cylinder</h3>

volume = πr²h

where

r = radius
h = height

Therefore,

volume = 500π cm³

r = 5 cm

Therefore,

volume of the cylinder = πr²h

500π = 5²πh

500π = 25πh

divide both sides by 25π

500π / 25π = 25πh / 25π

h = 20 cm

learn more on cylinder here: brainly.com/question/11083770

4 0

3 years ago

Find the two square roots of 0.25 write as a fraction first

s2008m [1.1K]

The fraction is 1/4 and the two square roots of 0.25 is 1/2 or 0.5. I hope this helped

4 0

4 years ago

How could you assign the numbers 0-9 with the 2 red slice 4 blue slice 3 yellow slice and 1 green

Fiesta28 [93]

Like this.....
green, red, red, yellow, yellow, yellow, blue, blue, blue, blue

4 0

3 years ago

Assume that BK Call Center receives 2 phone calls in one hour on average. If the department works 10 hours a day receiving the c

MrMuchimi

Using the Poisson distribution, the probabilities are given as follows:

A. 0.0888 = 8.88%.

B. 0.1354 = 13.54%.

C. 0.8646 = 86.46%.

<h3>What is the Poisson distribution?</h3>

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

$P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}$

The parameters are:

x is the number of successes

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Item a:

10 hours, 2 calls per hour, hence the mean is given by:

$\mu = 2 \times 10 = 20$ .

The probability is P(X = 20), hence:

$P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}$

$P(X = 20) = \frac{e^{-20}20^{20}}{(20)!} = 0.0888$

Item b:

1 hour, hence the mean is given by:

$\mu = 2$

The probability is P(X = 0), hence:

$P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-2}2^{0}}{(0)!} = 0.1354$

Item c:

The probability is:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1354 = 0.8646$

More can be learned about the Poisson distribution at brainly.com/question/13971530

#SPJ1

5 0

2 years ago

Austin is a human resources executive for a technology company. He is deciding between two types of plans for vacation allowance

ElenaW [278]

The question requires that we have to state the hypothesis:

null hypothesis;H0: u1 < u2, the alternate hypothesis;H1: u1 > u2. The one tail test is what is to be used.

<h3>A. How to state the hypothesis</h3>

H0: u1 < u2

H1: u1 > u2

The one tail test statistic is what is to be used here

<h3>B. standard error </h3>

$\sqrt{\frac{30.8}{17} +\frac{6.1}{15} }$

= 1.49

The df = 17 + 15 - 2

= 30

test statistic = 18.9 - 17.4 / 1.49

= 1.007

We have the critical value on excel as T.INV(0.9,30)

= 1.310

E. At 0.1, we can conclude that t-value (1.007) does not lies in the rejection area. We fail to reject the null hypothesis. Hence we conclude that the mean vacation with the unlimited plan is greater.

Read more on statistics here brainly.com/question/7597734

#SPJ1

4 0

2 years ago