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3 years ago

Write an equation of the line passing through each of the following pairs of points.

1 answer:

5 0

A) First find the slope of the two coordinates given.

Slope = y2 - y1 / x2 - x1

Substitute the values of the coordinates. It doesn't matter which coordinate is x1 or x2 as long as thereby value corresponds.

Slope = -5 - 4 / 2 - (-10)

Slope = -9 / 12

Slope = -3/4

Then, plug in either of the coordinates into the equation of a line.

y - y1 = m(x - x1)

y - 4 = -3/4(x - (-10)

y - 4 = -3/4(x + 10)

y - 4 = -3/4x - 7.5

y = -3/4x - 3.5

Check if using the other coordinate makes a difference.

y - (-5) = -3/4(x - 2)

y + 5 = -3/4x + 1.5

y = -3/4x - 3.5

The equation of a line for these coordinates is:

y = -3/4x - 3.5

2) Just apply the same concept for the second one :)

You might be interested in

You randomly sample 5 people in your school, and none of them is a vegetarian. Does this mean that the probability of being a v

kap26 [50]

Answer:

Step-by-step explanation:

The sample size taken for the school is too small.

5 people not being vegetarian does not mean NO OTHER students are vegetarian also. Thus, an assumption based on this probability of 5 people would not be correct unless fully supported. This makes option A wrong.

Answer B is correct because with small numbers, probability varies a lot and may change drastically with the addition of data.

For example: the 6th person we sample says he/she is a vegetarian.

This would change the probability drastically to 1/6 = 0.1667

Because this is a drastic change, and fluctuation is clear, answer B is correct.

C is wrong because probability is not subjective.

7 0

4 years ago

A film distribution manager calculates that 9% of the films released are flops. If the manager is right, what is the probability

ioda

Answer:

0.9884 = 98.84% probability that the proportion of flops in a sample of 469 released films would be greater than 6%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

A film distribution manager calculates that 9% of the films released are flops.

This means that $p = 0.09$

Sample of 469

This means that $n = 469$

Mean and standard deviation:

$\mu = p = 0.09$

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.09*0.91}{469}} = 0.0132$

What is the probability that the proportion of flops in a sample of 469 released films would be greater than 6%?

1 subtracted by the p-value of Z when X = 0.06. So

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

By the Central Limit Theorem

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

$Z = \frac{0.06 - 0.09}{0.0132}$

$Z = -2.27$

$Z = -2.27$ has a p-value of 0.0116

1 - 0.0116 = 0.9884

0.9884 = 98.84% probability that the proportion of flops in a sample of 469 released films would be greater than 6%.

7 0

3 years ago

What is the airspeed velocity of an unladen swallow?

jok3333 [9.3K]

Answer: About 24 miles per hour or 11 meters per second.

Step-by-step explanation: It's concluded that the airspeed velocity of an unladen swallow is about 24 miles per hour or 11 meters per second.

4 0

3 years ago

Read 2 more answers

All I need is number two

Arturiano [62]

3/5 of a gallon or .06

Explanation:

To solve you need to divide the three gallons of paint by the 5 cans. This can be solved in two ways.

Way 1 (fraction)

This is the easiest way, you simply put the first number in the equation on top and the second on the bottom, then simplify if possible. When we do this we get 3/5 and it can’t be simplified so we leave it as the fraction three fifths of 3/5.

Way 2 (decimal)

This way you divide 3 by 5, you can use long division to do this but it takes a long time. The answer is 0.6.

I hope this helps. Please mark me the Brainliest, it’s not necessary but I put time and effort into every answer and I would appreciate it greatly. Have a great day, stay safe and stay healthy ! :)

4 0

3 years ago

Read 2 more answers

What should be included in a financial plan to protect assets?

Andru [333]

The answer is how much insurance you will carry.

7 0

3 years ago