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2 years ago

WHATS THE SLOPE OF THE RED LINE AND THE BLUE LINE?? and is the line parallel?? PLEASE I NEED THIS DONE

Mathematics

2 answers:

Yakvenalex [24]2 years ago

8 0

Answer:

The slopes of both lines are 2/3, and since they have different y-intercepts they are parallel.

Step-by-step explanation:

In order to find slope, you need to find the rise and run of the line, since slope is rise/run. Lets use the red line as an example: There are two points , (0,1) and (-2,-1) where there are solid points. Once you locate solid points, you can then count how many units up or down (rise) and how many left or right (run). If you do this on paper the lines should form a right triangle with the line as the hypotenus. Since we went up 2, right 3, the slope would be 2/3.

Hope this helps :)

Tema [17]2 years ago

4 0

The line is Nor Parnell since it is side waysblkejsdjsjnw

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Anastaziya [24]

Answer:

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Step-by-step explanation:

It says that the ratio they want you to put it in is dogs/students, so dogs are x, and students are y, so if there are 4 students for every dog, 36 students would require 9 dogs

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3 years ago

What is the slope of a line parallel to the line whose equation is y - x = 5?

Ghella [55]

A parallel line would have the same slope as the given line so first you'd rewrite the equation y-x=5 to y=x+5 the slope is the x value so the slope is 1.

3 0

3 years ago

write the first six terms of the arithmetic sequence with the first term a1 =90 , and common differnce, d=9

brilliants [131]

Given a1 = 90
Common difference = adding
90 + 9 = 99, second term
99 + 9 = 108, third term
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You would get
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8 0

3 years ago

A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are

lidiya [134]

Answer:

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

Step-by-step explanation:

Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree

The null hypothesis is that they are equal(that is, subtraction between the means is 0), while the alternate hypothesis is that they are greater(that is, subtraction between the means is larger than 0). So

$H_0: \mu_1 - \mu_2 = 0$

$H_a: \mu_1 - \mu_2 > 0$

In which $\mu_1$ is the mean pine trees height while $\mu_2$ is the mean spruce trees height.

The test statistic is:

$z = \frac{X - \mu}{s}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that $\mu = 0$

Mean trunk diameter (cm) 35 30:

Pine trees - 35

Spruce trees - 30

The sample mean is given by the subtraction of the means. So

$X = 35 - 30 = 5$

Sample Size 40 80

Population variance 160 160

This means that the standard error for each sample is given by:

$s_1 = \frac{\sqrt{160}}{\sqrt{40}} = 2$

$s_1 = \frac{\sqrt{160}}{\sqrt{80}} = \sqrt{2}$

The standard error of the difference is the square root of the sum squared of the standard error of each sample.

$s = \sqrt{2^2 + (\sqrt{2})^2} = \sqrt{6} = 2.4495$

Test statistic:

$z = \frac{X - \mu}{s}$

$z = \frac{5 - 0}{2.4495}$

$z = 2.04$

Pvalue of the test:

Probability of a sample mean larger than 5, which is 1 subtracted by the pvalue of Z when X = 5.

Looking at the z-table, z = 2.04 has a pvalue of 0.9793.

1 - 0.9793 = 0.0207

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

8 0

3 years ago

What is the height of the beach umbrella? Using your knowledge of sine, cosine, and tangent.

omeli [17]

Answer: 8 ft

<u>Step-by-step explanation:</u>

$sin\ 45^o=\dfrac{opposite \angle 45^o}{adjacent \angle 45^o}\\\\\\sin\ 45^o=\dfrac{8}{height}\\\\\\1=\dfrac{8}{height}\\\\\\height=8$

4 0

4 years ago