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3 years ago

What is the distance between the points? Round to the nearest tenth if necessary.

Mathematics

1 answer:

Zepler [3.9K]3 years ago

6 0

Answer:

6.7

Step-by-step explanation:

(3,2) (0, -4)

√(x2 - x1)² + (y2 - y1)²

√(0 - 3)² + (-4 - 2)²

√(-3)² + (-6)²

√(9) + (36)

√45

6.7

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Find the zeros of ƒ(x) = x3 + 6x2 + 8x.

Softa [21]

Answer:

Option A: $x=0$ , $x=-2$ , and $x=-4$

Step-by-step explanation:

$f(x)=x^3+6x^2+8x$

$0=x^3+6x^2+8x$

$0=x(x^2+6x+8)$

$0=x(x+2)(x+4)$

$x=0$ , $x=-2$ , and $x=-4$

3 0

3 years ago

Read 2 more answers

A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained i

Scorpion4ik [409]

Answer:

a) We need a sample size of at least 3109.

b) We need a sample size of at least 4145.

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:

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

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

(a) he uses a previous estimate of 25%?

we need a sample of size at least n.

n is found when $M = 0.02, \pi = 0.25$ . So

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

$0.02 = 2.575\sqrt{\frac{0.25*0.75}{n}}$

$0.02\sqrt{n} = 2.575\sqrt{0.25*0.75}$

$\sqrt{n} = \frac{2.575\sqrt{0.25*0.75}}{0.02}$

$(\sqrt{n})^{2} = (\frac{2.575\sqrt{0.25*0.75}}{0.02})^{2}$

$n = 3108.1$

We need a sample size of at least 3109.

(b) he does not use any prior estimates?

When we do not use any prior estimate, we use $\pi = 0.5$

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

$0.02 = 2.575\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 2.575\sqrt{0.5*0.5}$

$\sqrt{n} = \frac{2.575\sqrt{0.5*0.5}}{0.02}$

$(\sqrt{n})^{2} = (\frac{2.575\sqrt{0.5*0.5}}{0.02})^{2}$

$n = 4144.1$

Rounding up

We need a sample size of at least 4145.

8 0

3 years ago

What are two ways to start solving this equation? Choose BOTH ways.

ElenaW [278]

Answer:

Step-by-step explanation:

use the distributive propriety to get 4c -12 = 8

divide both sides by 4 to get c-3 =2

4 0

3 years ago

The first term of a sequence is -12. The recursive formula for the sequence is an = an-1 + 9. What are the next 3 terms in the s

Bess [88]

The next three terms are: -3, 6, and 15

To get each new term, we simply add 9 to the last term. So we add 9 to -12 to get -3. Then we add 9 to -3 to get 6. Finally we add 9 to 6 to get 15

In other words,
first term = -12
second term = first term+9 = -12+9 = -3
third term = second term + 9 = -3+9 = 6
fourth term = third term + 9 = 6+9 = 15

This process repeats forever though we only need three terms in this case.

So that's why the answer is the three values -3, 6 and 15

8 0

3 years ago

If KN =29, what is CN?

Nostrana [21]

29kn are equal to cn 2900000
Hope it was right.

6 0

4 years ago