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3 years ago

Find the equation of a line perpendicular to y - 3x = – 8 that passes through the point (3, 2). (answer in slope-intercept form)

2 answers:

7 0

So you would plug it into y-y1 = m (x-x1)

so the perpendicular slope would be 1/3

y - 2 = 1/3 (x - 3)

y - 2 =- 1/3(x) - 1/3(-3)

y = 1/3x + 1 + 2

answer = y = -1/3x + 3

Ymorist [56]3 years ago

4 0

Perpendicular means that you will flip and change sign in this case we have -3 when we flip it and change sign we will get 1/3
So,

First we have to find b:

2=1/3(3)+b
2=1+b
1=b

Second you just write your equation:

Y= 1/3x + 1

Hope it help sweetheart!!

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3x x (7 x x) i don’t get this at all

Zielflug [23.3K]

3x +7x+x+x should be your answer

4 0

2 years ago

Read 2 more answers

A grower believes that one in five of his citrus trees are infected with the citrus red mite. How large a sample should be taken

mihalych1998 [28]

Answer:

n=6147

Step-by-step explanation:

1) Notation and definitions

$X=1$ number of citrus trees that are infected with the citrus red mite.

$n=5$ random sample taken

$\hat p=\frac{1}{5}=0.2$ estimated proportion of citrus trees that are infected with the citrus red mite.

$p$ true population proportion of citrus trees that are infected with the citrus red mite.

Me=0.01 represent the margin of error desired

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

In order to find the critical values we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical values would be given by:

$t_{\alpha/2}=-1.96, t_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.2(1-0.2)}{(\frac{0.01}{1.96})^2}=6146.56$

And rounded up we have that n=6147

5 0

3 years ago

Billy walks 15 miles every day to soccer practice, and catches a ride home from his grandma. Billy had 5 practices last week. Ho

kirza4 [7]

Billy walked 75 yards last week

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3 years ago

How many centimeters are in 64 inches?

faltersainse [42]

64 inch = 162.56 centimetres

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2 years ago

Read 2 more answers

Read the word problem below. Jill had $90. She bought a skirt that normally costs $42 but was on sale for half price. She also b

Likurg_2 [28]

Answer:

What was the regular price of the T-shirt?

What question is being asked in this word problem?

what is the regular cost of the t-shirt purchased by Jill.

What is the regular price of the skirt?

How much money does Jill have left?

without considering sales tax, Jill has $90 - $31 = $59 left.
If I use the sales tax from where I live, the sales tax = $1.86, so the money that Jill will have left = $59 - $1.86 = $57.14

How much does the T-shirt normally cost?

$18 (same as question 1)

What is the amount Jill pays in sales tax?

since you do not include the sales tax % in the question, I will simply use the sales tax from where I live = $31 x 6% = $1.86

Step-by-step explanation:

skirt $21

t-shirt = p - $8

before sales tax, total cost was $31

$21 + p - $8 = $31

p = $18

7 0

3 years ago