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3 years ago

Find the factor of the polynomial.

Mathematics

2 answers:

hichkok12 [17]3 years ago

8 0

Its the third one down

Step2247 [10]3 years ago

8 0

Since 8 is a perfect cube...2^3, we can factor (x +2).
Use the sum of cubes formula.. (a^3 + b^3) = (a + b) (a^2 -ab + b^3)
(x + 2) ( x^2 - 2x + 4)

Leaves your answer as the third option.

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Find the missing length <br> . Leave your answers in simplest radical form

Aloiza [94]

A^2 + B^2 = C^2

x^2 + 9^2 = (SQRT 226)^2

x^2 + 81 = 226

x^2 = 145

x = SQRT 145

8 0

2 years ago

The florist sells roses, carnations, tulips, daisies, and violets. How many ways can he choose three types of flowers for an arr

k0ka [10]

What are the options

8 0

2 years ago

Two numbers are said to be 'relatively prime' if their greatest common factor is 1. How many integers greater than 10 and less t

mars1129 [50]

Answer:

d. 9 integers

Step-by-step explanation:

Given that two numbers are said to be 'relatively prime' if their greatest common factor is 1.

We are to find relatively prime with 28 which are greater than 10 and less than 30

We have 11,12,13...29 satisfying the criteria greater than 10 and less than 30

To be relatively prime with 28, common factors should be only 1.

28 = 2x2x 7. Hence the numbers which do not have factors as 2 or 7 will be relatively prime. Remove all the even numbers from the list.

We have 11,13,15....29.

Of these 21 is the multiple of 7 so remove that.

Thus we have now 11,13,15,17,19,23,25,27,29

9 integers

d. 9 integers

3 0

2 years ago

The director of a state agency believes that the average starting salary for clerical employees in the state is less than $35 c

MrRissso [65]

Answer:

There is not enough evidence to conclude that average starting salary for clerical employees in the state is less than $35,000 per year.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 35,000 dollars per year

Sample mean, $\bar{x}$ = 34,700 dollars per year

Sample size, n = 100

Alpha, α = 0.10

Population standard deviation, σ = 3,500 dollars per year

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 35,000\text{ dollars per year}\\H_A: \mu < 35,000\text{ dollars per year}$

We use one-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{34700 - 35000}{\frac{3500}{\sqrt{100}} } = -0.8571$

Now, $z_{critical} \text{ at 0.10 level of significance } = -1.28$

Since,

$z_{stat} > z_{critical}$

We fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to conclude that average starting salary for clerical employees in the state is less than $35,000 per year.

3 0

2 years ago

Help...

PolarNik [594]

Answer: perm will cost $48

Step-by-step explanation:

Let x be cost of haircut

So perm will cost her 2x

x + 2x + 5 = 77

3x = 72

x = 24

Perm will cost 2x24 = 48

4 0

2 years ago