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tatuchka [14]
3 years ago
12

Please i want to know how to find slope intercepts

Mathematics
1 answer:
algol [13]3 years ago
8 0

Answer:

Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.

Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

Step-by-step explanation:

The general formula is y = mx +b.

m = slope.

b = y-intercept of the line  

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For the function g(x)=2x−8/ 6x+6, evaluate g(2)
lianna [129]

Answer:

see it it is right

5 0
2 years ago
According to 2013 report from Population Reference Bureau, the mean travel time to work of workers ages 16 and older who did not
gregori [183]

Answer:

a) 48.80% probability that his travel time to work is less than 30 minutes

b) The mean is 30.7 minutes and the standard deviation is of 3.83 minutes.

c) 13.13% probability that in a random sample of 36 NJ workers commuting to work, the mean travel time to work is above 35 minutes

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 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.

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.

In this question, we have that:

\mu = 30.7, \sigma = 23

a. If a worker is selected at random, what is the probability that his travel time to work is less than 30 minutes?

This is the pvlaue of Z when X = 30. So

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

Z = \frac{30 - 30.7}{23}

Z = -0.03

Z = -0.03 has a pvalue of 0.4880.

48.80% probability that his travel time to work is less than 30 minutes

b. Specify the mean and the standard deviation of the sampling distribution of the sample means, for samples of size 36.

n = 36

Applying the Central Limit Theorem, the mean is 30.7 minutes and the standard deviation is s = \frac{23}{\sqrt{36}} = 3.83

c. What is the probability that in a random sample of 36 NJ workers commuting to work, the mean travel time to work is above 35 minutes?

This is 1 subtracted by the pvalue of Z when X = 35. So

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

By the Central Limit Theorem

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

Z = \frac{35 - 30.7}{3.83}

Z = 1.12

Z = 1.12 has a pvalue of 0.8687

1 - 0.8687 = 0.1313

13.13% probability that in a random sample of 36 NJ workers commuting to work, the mean travel time to work is above 35 minutes

8 0
3 years ago
There are 7 red marbles, 7 blue marbles, 7 yellow marbles, and 7 green marbles in a bag. If a person randomly selects 1 marble f
KIM [24]

Total marbles: 7 + 7 + 7 + 7 = 28

There is a total of 28 marbles. 7 are blue.

The probability is the number of blue/ total marbles = 7/28 which reduces to 1/4

The probability is 1/4

4 0
3 years ago
Read 2 more answers
8x – 10 = 3x – 10 + 7x
stira [4]

Answer:

x= 0

Step-by-step explanation:

Let's first simplify the equation to make the PEMDAS process easier.

8x-10=3x-10+7x

8x-10=10x-10

Now lets start the subtracting and dividing process.

8x=10x

0=2x

0=x

6 0
3 years ago
Two step equations
Llana [10]

28 each book 155-15=140 and then 140÷5=28

6 0
3 years ago
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