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Nadya [2.5K]
2 years ago
15

Write an equation in slope-intercept form of the line that passes through the points (-6, -10) and (1,4).​

Mathematics
1 answer:
vova2212 [387]2 years ago
7 0

Answer:

y = mx + 1/2

Step-by-step explanation:

(x,y)

- Plot each point on a graph

- The line should go from the bottom left (-6,-10) to the top right (1,4)

- Count how many spaces are on the y-axis from -6 to 1 for numerator

- Count how many spaces are on the x-axis from -10 to 4 for denominator

- Positive slope

- Slope = 7/14

- Simplify to 1/2

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A sociologist develops a test to measure attitudes towards public transportation, and 27 randomly selected subjects are given th
taurus [48]

Answer:

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 27 - 1 = 26

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0518

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

In this question:

n = 27, s = 21.4. So

M = 2.0518\frac{21.4}{\sqrt{27}}

M = 8.45

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

5 0
3 years ago
I need more assistance :D Instructions: Using the image, find the distance between the points given on the graph.
lina2011 [118]

Answer:

I usually explain even in the answer.

So we use som\sqrt{x}ething called distance formula which is branched of Pythagorean theorem.

But we dont need to as it just makes it more complicated. We need to find split into 2 vectors, one vertical, and horizontal. The horizontal is 5 long.

The vertical is 1, you can find them by calculating how long is it and how tall.

Use pythogorean theorem from the formula and do 5^2+1^2 = c^2

25+1 = 26, so the answer is √26

I am pretty sure answer is right. Always take abolute value

<u>√26</u>

8 0
3 years ago
A set of exam scores is normally distributed and has a mean of 80.2 and a standard deviation of 11. What is the probability that
ZanzabumX [31]

Answer:

93.32% probability that a randomly selected score will be greater than 63.7.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 80.2, \sigma = 11

What is the probability that a randomly selected score will be greater than 63.7.

This is 1 subtracted by the pvalue of Z when X = 63.7. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{63.7 - 80.2}{11}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

1 - 0.0668 = 0.9332

93.32% probability that a randomly selected score will be greater than 63.7.

5 0
3 years ago
If BC=2x-3 and AC=2x+10, find the length of AB
Anettt [7]

Answer:

ac

Step-by-step explanation:

xcsddddssss

5 0
2 years ago
How to solve for 1000(x-2)=75000
Andrews [41]
So, first you divide 75000 by 1000. Then you add 2 to each side. Then that's the answer, x=77
8 0
3 years ago
Read 2 more answers
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