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2 years ago

Write the slope-intercept form of the equation of each line. identify the slopes y-intercept.

Mathematics

1 answer:

iren [92.7K]2 years ago

5 0

Answer:

1. 3,0,y=3x

2. -3/5, 1, y=-3/5x+1

3. -2/3, -4,y=-2/3x-4

4. 0, 4, y=4

5. 1, 5, y=x+5

6. 2, 0, y=2x

7. 4, 5, y=4x+5

8. 3/2, 4, y=3/2x+4

hopefully this helps :)

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The points (0, 1) and (-9, -9) fall on a particular line. What is its equation in slope-intercept form?

prohojiy [21]

The slope-intercept form:

$y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

m - slope

b - y-intercept → (0, b)

We have the points (-9, -9) and (0, 1) - y-intercept → b = 1.

Calculate the slope:

$m=\dfrac{1-(-9)}{0-(-9)}=\dfrac{10}{9}$

Answer: $y=\dfrac{10}{9}x+1$

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2 years ago

What is the least common denominator of 1/3 and 4/7?

jolli1 [7]

Answer:

Step-by-step explanation:

The denominators are 3 and 7 and those are both odd numbers.

You can not get a number lower than 21. Therefore 21 is the LCM (Lowest common denominator.)

Hope this helps :)

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3 years ago

Write the number for nine million seven hundred thousand

marin [14]

Answer:

9,700,000.

Explain:

9 goes in the 1,000,000th place, and 700 would be placed right behind the 9's comma. Therefore, 9,700,000

8 0

1 year ago

Read 2 more answers

The expression 2x2 + 12x + 10 represents a bird's height, in feet, x seconds after it leaves its nest,

marusya05 [52]

The answer is A. You add the extra 10 feet to however high the bird flew from there

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2 years ago

A ski lift is designed with a total load limit of 20,000 pounds. It claims a capacity of 100 persons. An expert in ski lifts thi

Yanka [14]

Answer:

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

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 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.

Central Limit Theorem

The Central Limit Theorem estabilishes 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 the sum of n values of a distribution, the mean is $\mu \times n$ and the standard deviation is $\sigma\sqrt{n}$

An expert in ski lifts thinks that the weights of individuals using the lift have expected weight of 200 pounds and standard deviation of 30 pounds. 100 individuals.

This means that $\mu = 200*100 = 20000, \sigma = 30\sqrt{100} = 300$

If the expert is right, what is the probability that a random sample of 100 independent persons will cause an overload

Total load of more than 20,000 pounds, which is 1 subtracted by the pvalue of Z when X = 20000. So

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

$Z = \frac{20000 - 20000}{300}$

$Z = 0$

$Z = 0$ has a pvalue of 0.5

1 - 0.5 = 0.5

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

5 0

2 years ago