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3 years ago

Write the equation of the line through each point.

Mathematics

1 answer:

Leya [2.2K]3 years ago

5 0

Answer:

The equation would be y = -1/3x + 4

Step-by-step explanation:

The first step to finding this equation needs to be solving the first equation for y so that we can find the slope.

-3x + y = 1

y = 3x + 1

Now that we have the slope of 3, we know the slope of a perpendicular line would be -1/3. This is because perpendicular lines have opposite and reciprocal slopes. We can then use this and the point to solve in point-slope form.

y - y1 = m(x - x1)

y - 2 = -1/3(x - 6)

y - 2 = -1/3x + 2

y = -1/3x + 4

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Researchers want to investigate if students retain more information if it printed on blue paper rather than white paper. They re

Debora [2.8K]

Answer:

Stratified design with color of paper as the blocks

Step-by-step explanation:

The experimental design that this question uses is the stratified design with color of paper as the blocks

A stratified design is one where the population has been divided into strata that are homogeneous. A good number of participants would then be picked for each of the stratum. The homogeneous strata are also known as the blocks and here in this question we have color of paper as the block here.

The students are of different school levels, elementary, high school and middle school. Each of these levels have 100 students. The students in each levels are halved and each half is randomly assigned information on either a white paper or a blue paper.

5 0

3 years ago

Can someone please help me figure out this problem. just figure out what 1,2, and 3

Aleksandr-060686 [28]

1 is 39. J don’t know about 2 and 3 though:(

4 0

3 years ago

Clothing sizes are not standardized across brands. Suppose that a large study of women's size 14 jeans revealed that the mean hi

kenny6666 [7]

Using the z-distribution, we have that:

The mean hip measurement for the random sample of 15 pairs of women's size 16 jeans is of 44.1 inches.

The margin of error is of 0.8 in.

The interpretation is: Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.

The first step to solve this question, before building the confidence interval, is finding the sample mean, which is the sum of all observations divided by the number of observations. Hence:

$\overline{x} = \frac{44.5+43.0+46.6+42.9+43.7+43.9+42.4+43.2+43.1+44.4+46.1+44.7+44.4+43.9+44.7}{15} = 44.1$

The margin of error of a z-confidence interval is given by:

$M = z\frac{\sigma}{\sqrt{n}}$

In which:

z is the critical value.
$\sigma$ is the population standard deviation.
n is the sample size.

We have to find the critical value, which is z with a p-value of $\frac{1 + \alpha}{2}$ , in which $\alpha$ is the confidence level.

In this problem, $\alpha = 0.99$ , thus, z with a p-value of $\frac{1 + 0.99}{2} = 0.995$ , which means that it is z = 2.575.

Then, the margin of error is:

$M = z\frac{\sigma}{\sqrt{n}}$

$M = 2.575\frac{1.2}{\sqrt{15}}$

$M = 0.8$

The margin of error is of 0.8 in.

The interval is:

$\overline{x} \pm M$

$\overline{x} - M = 44.1 - 0.8 = 43.3$

$\overline{x} + M = 44.1 + 0.8 = 44.9$

The interpretation is:

Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.

A similar problem is given at brainly.com/question/25300297

6 0

3 years ago

I need how with plz

omeli [17]

Answer:

165 degrees

Step-by-step explanation:

According to the protractor, the angle stretches from 10 degrees to 175 degrees. Subtract 10 from 175 to get the total measurement, and you will get 165. The angle is 165 degrees.

6 0

3 years ago

Read 2 more answers

Three boxes are stacked one on top of the other. one box is 2 feet 7 inches tall, one is 3 feet 11 inches tall, and one is 6 fee

Marianna [84]

2 ft 7 in
3 ft 11 in
6 ft 9 in
-----------------add
11 ft 27 in........and since 1 ft = 12 inches, then 27 inches = 2 ft 3 inches

so it would become : 13 ft 3 inches <==

4 0

3 years ago