B.

Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used.Sim

Aleonysh [2.5K]

Okay, here we have this:

Let's solve the table polynomial by polynomial:

Polynomial 1:

We will first find its simplified form:

$\begin{gathered} (3x-\frac{1}{4})(4x+8) \\ =3x\cdot\: 4x+3x\cdot\: 8+\mleft(-\frac{1}{4}\mright)\cdot\: 4x+\mleft(-\frac{1}{4}\mright)\cdot\: 8 \\ =12x^2+24x-x-2 \\ =12x^2+23x-2 \end{gathered}$

Name by degree of the polynomial: quadratic.

Polynomial 2:

Let's simplify it:

$\begin{gathered} \mleft(5x^2+7x\mright)-\frac{1}{2}\mleft(10x^2-4\mright) \\ =5x^2+7x-5x^2+2 \\ =7x+2 \end{gathered}$

Name by number of terms: Binomial

Polynomial 3:

Name by degree of the polynomial: constant

Name by number of terms: Monomial

3 0

1 year ago

Whats 40 + 40 + 40 X 2

bixtya [17]

40 + 40 + 40x2
= 40 + 40 + 80
= 160

6 0

2 years ago

Read 2 more answers

Jonah wants to construct a confidence interval using 90% confidence to estimate what proportion of silicon wafers at his factory

Nimfa-mama [501]

Answer:

170

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

Assume:

$\pi = 0.06$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

What is the smallest sample size required to obtain the desired margin of error?

This is n for which M = 0.03. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.645\sqrt{\frac{0.06*0.94}{n}}$

$0.03\sqrt{n} = 1.645\sqrt{0.06*0.94}$

$\sqrt{n} = \frac{1.645\sqrt{0.06*0.94}}{0.03}$

$(\sqrt{n})^2 = (\frac{1.645\sqrt{0.06*0.94}}{0.03})^2$

$n = 169.6$

Rounding up, 170.

4 0

3 years ago

A large sphere has the radius of 6 centimeters. A small sphere is inside the sphere. After the volume of the small sphere is sub

neonofarm [45]

Answer:

3 in

Step-by-step explanation:

The volume of the large sphere is ...

V = (4/3)πr³ = 288π . . . cubic inches

The volume of the smaller sphere is ...

288π -252π = 36π . . . cubic inches

The ratio of volumes of the smaller sphere to the larger is the cube of the ratio of radii. The radius of the smaller sphere will be ...

(6 in)∛(36π/(288π)) = (6 in)∛(1/8) = 3 in . . . . small sphere radius

7 0

3 years ago

If there are 48 boys and 64 girls and the teachers decided to put them each in in equal rows only boys or girls will be in each

german

Answer: 16

Step-by-step explanation:

The question seeks to know the largest number of people that can sit in each row.

To answer this, find the Highest Common Factor of the numbers 48 and 64.

Factors of 48 ⇒ 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48

Factors of 64 ⇒ 1, 2, 4, 8, 16, 32 and 64

Because the teacher wants the rows to be equal with either only boys or only girls sitting in them, the highest number of people that can sit in a row will be 16.

There will be 7 rows in total.

Boys ⇒ 48/ 16 = 3 rows

Girls ⇒ 64/16 = 4 rows

5 0

3 years ago