Factor the following expression 8x^2+2x-158x2+2x−15

which of the following best describes a regular polygon when the measure of each exterior angle is 36 ?

zhenek [66]

Even though you have no choices listed:

Each Exterior Angle = Each Central Angle = (360 degrees) ÷ (Number of Sides)
Each Exterior Angle = (360 degrees) ÷ (Number of Sides)
(Number of Sides) = 360 / 36
Number of Sides = 10
a 10-sided polygon is a decagon

6 0

3 years ago

Shontel has a job as a barista at a local coffee shop that pays $12 per hour. She works between 15 and 25

SIZIF [17.4K]

A. Independent is 12.5
B. Domain
Minimum is 15 maximum is 25

C. When she works for 11 hours she will earn $137.5

Hope this helps!

5 0

3 years ago

True or false question

Romashka [77]

The answer should be true

6 0

3 years ago

The amount that households pay service providers for access to the Internet varies quite a bit, but the mean monthly fee is $50

Natali5045456 [20]

Answer:

(a) See Explanation

(b) $\bar x =50$ and $\sigma_x = 0.8944$

(c) The shape is normal

(d) $P(\bar x > 55) = 0$

Step-by-step explanation:

Given

$\mu = \$50$ -- mean

$\sigma = \$20$ --- standard deviation

$n=500$ --- sample size

Solving (a): The reason we can't determine the probability that an amount to access internet by a household will exceed $55.

The question says that a lot of households pay low rates, but the percentage of the households in this category is not given. This means that it is impossible to determine the shape of the distribution.

Hence, the probability cannot be calculated.

Solving (b): Sample mean and Sample standard deviation

The sample mean estimates the population mean

So:

$\bar x =\mu$

$\bar x =50$

The sample standard deviation is calculated as thus:

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{20}{\sqrt{500}}$

$\sigma_x = \frac{20}{22.36}$

$\sigma_x = 0.8944$

Solving (c): The shape of the distribution.

We have:

$n = 500$ --- The sample size

According to Central limit theorem, When the sample size is greater than 30, then the shape of the distribution is normal.

Hence, the shape is normal

Solving (d): $P(\bar x \ge 55)$

Calculate the test statistic (t)

$t = \frac{\bar x - \mu}{\sigma}$

$t = \frac{55 - 50}{0.8945}$

$t = \frac{5}{0.8945}$

$t = 5.590$

So:

$P(\bar x > 55) = P(t > 5.590)$

Referencing the z table, we have:

$P(t > 5.590) = 0$

Hence:

$P(\bar x > 55) = 0$

5 0

3 years ago

Whats the sets of a function

podryga [215]

Answer:

In mathematics, a function space is a set of functions of a given kind from a set to a set . It is called a space because in many applications it is a topological space (including metric spaces), a vector space, or both.

Step-by-step explanation:

3 0

3 years ago