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3 years ago

8

1. A line passes through the points (–4, –6) and (8, 4) a. Use point-slope form to write the equation of the line that is perpen

dicular to the given line at the point (2, –1)

1 answer:

Ainat [17]3 years ago

6 0

Answer:

I just know the formula for slope is y2-y1/x2-x1

Step-by-step explanation:

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Y_Kistochka [10]

Answer:

a) w ⇒ × 5 ⇒ -3 ⇒ z

b) x ⇒ +2 ⇒ ×7 ⇒ y

y= x+2×7= x + 14

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3 years ago

How do you find x in the equation<br> 3x+21=42<br> Plz help will mark brianltes

Rus_ich [418]

Answer:

3x=21

X=7

Step-by-step explanation:

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3 years ago

Read 2 more answers

I need help with this math equation 3(2x + 6)

My name is Ann [436]

Answer:

6+18 pls give brainlest

Step-by-step explanation:

How to solve your problem

3(2+6)

Simplify

1

Distribute

3(2+6)

6+18

Solution

6+18

7 0

3 years ago

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population pro

Gnom [1K]

Answer:

A sample of 1068 is needed.

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:

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

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?

We need a sample of n.

n is found when M = 0.03.

We have no prior estimate of $\pi$ , so we use the worst case scenario, which is $\pi = 0.5$

Then

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

$0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.03\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.03}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}$

$n = 1067.11$

Rounding up

A sample of 1068 is needed.

8 0

3 years ago

Please help!!!! I’m unsure of the answers

igomit [66]

Answer:

table:

.1, .25, .35, .2, .1

p(x=4) = .1

p(x<2) = .35

p(3≤x≤4)= .55

1.95, 1.12

Step-by-step explanation:

this is kind of hard to read, but i think i've got it

mean:

0*.1+1*.25+2*.35+3*.2+4*.1= 1.95

The second moment:

0²*.1+1²*.25+2²*.35+3²*.2+4²*.1= 5.05

the variance is the second moment minus the first moment squared (first moment is the mean) and then the standard deviation is the square root of the mean

5.05-1.95²= 1.2475 √1.2475= 1.1169 or 1.12

3 0

2 years ago