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3 years ago

The equation of line AB is (y−3) = 5 (x − 4). What is the slope of a line perpendicular to line AB?

Mathematics

1 answer:

Darina [25.2K]3 years ago

8 0

Answer:

The perpendicular slope would be -1/5.

Step-by-step explanation:

This is because we can locate the slope of the original line as 5 (the number just outside of the x-coordinate parenthesis.

Then we know that perpendicular lines have opposite and reciprocal slopes. So we take the 5 and change the sign (-5), then we flip it (-1/5).

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A pew research Center project on the state of news media showed that the clearest pattern of news audience growth in 2012 came o

KengaRu [80]

Answer:

Step-by-step explanation:

Given that:

the sample proportion p = 0.39

sample size = 100

Then np = 39

Using normal approximation

The sampling distribution from the sample proportion is approximately normal.

Thus, mean $\mu _{\hat p} = p = 0.39$

The standard deviation;

$\sigma = \sqrt{\dfrac{p(1-p)}{n} }$

$\sigma = \sqrt{\dfrac{0.39(1-0.39)}{100} }$

$\sigma = 0.048$

The test statistics can be computed as:

$Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}$

$Z = \dfrac{0.3 - 0.39 }{0.0488}$

$Z = -1. 8 4$

From the z - tables;

$P (\hat p \le 0.3 ) = P(z \le -1.84)$

$\mathbf{P (\hat p \le 0.3 ) = 0.0329}$

(b)

Here;

the sample proportion = 0.39

the sample size n = 400

Since np = 400 * 0.39 = 156

Thus, using normal approximation.

From the sample proportion, the sampling distribution is approximate to the mean $\mu_{\hat p} = p = 0.39$

the standard deviation $\sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n} }$

$\sigma_{\hat p} = \sqrt{\dfrac{0.39 (1-0.39)}{400} }$

$\sigma_{\hat p} =0.0244$

The test statistics can be computed as:

$Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}$

$Z = \dfrac{0.3 - 0.39 }{0.0244}$

$Z = -3.69$

From the z - tables;

$P (\hat p \le 0.3 ) = P(z \le -3.69)$

$\mathbf{P (\hat p \le 0.3 ) = 0.0001}$

As sample size builds up, the standard deviation of the sampling distribution decreases.

In addition to that, reduction in the standard deviation resulted in increases in the Z score, and the probability of having a sample proportion that is less than 30% also decreases.

6 0

3 years ago

Please. I only need help on parts A and B. Please DO NOT just answer with you don't know or something compelety random. Thanks.

Lilit [14]

Answer: sir

Step-by-step explanation:

8 0

3 years ago

Wendy's mother recorded how many donuts she has eaten over the past few months. Jelly-filled donuts 6 maple donuts 53 glazed don

coldgirl [10]

Answer:

$P(\text{Powdered sugar donut})=\dfrac{1}{15}$ .

Step-by-step explanation:

It is given that Wendy's mother recorded how many donuts she has eaten over the past few months.

Jelly-filled donuts = 6

Maple donuts = 53

Glazed donuts = 11

Powdered sugar donuts = 5

Now,

Total number of donuts = 6 + 53 + 11 + 5 = 75

We need to find the experimental probability that the next donut Wendy eats will be a powdered sugar donut.

$P(\text{Powdered sugar donut})=\dfrac{\text{Powdered sugar donuts}}{\text{Total number of donuts}}$

$P(\text{Powdered sugar donut})=\dfrac{5}{75}$

$P(\text{Powdered sugar donut})=\dfrac{1}{15}$

Therefore, $P(\text{Powdered sugar donut})=\dfrac{1}{15}$ .

3 0

4 years ago

What is the area of a rectangle if it is 1/2 of a meter long and 3/8 of a meter wide?

Sonbull [250]

Answer:

Area equals to 3/16

Step-by-step explanation:

You can compute this with the easiest way,that is with formula

Area=LENGTH×WIDTH

So,1/2 × 3/8=3/16

5 0

4 years ago

The amount of fat, in grams, in granola is proportional to the volume, in cups, of the granola as shown on the graph.

AlekseyPX

4 cups = 18 g
Divide all by 4 to get 1 cup.
1 cup = 18/4
1 cup = 4.5g

4 0

4 years ago

Read 2 more answers