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Ket [755]
3 years ago
9

Find an equation of the line passing through the given points. Use function notation to write the equation. ​(3​,8​) and ​(4​,13

​)
Mathematics
1 answer:
Olegator [25]3 years ago
7 0

Answer:

f(x)=5x-7

Step-by-step explanation:

The given line passes through the points;

(x_1,y_1)=(3,8)

and

(x_2,y_2)=(4,13)

Let us find the slope using;

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{13-8}{4-3}

m=\frac{5}{1}=5

The equation is given by;

y-y_1=m(x-x_1)

We substitute the values into the formula to obtain;

y-8=5(x-3)

y=5x-15+8

y=5x-7

There the equation of the line is

f(x)=5x-7

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The sales price of a single family house in Charlotte is normally distributed with mean $210,000 and standard deviation $35,000.
Lady_Fox [76]

Answer:

E(X ¯)=210,000.

Step-by-step explanation:

A sampling distribution for samples of size n=49 from a population with means μ=210,000 and standard deviation σ=35,000, has the following means anda standard deviation:

\mu_s=\mu=210,000\\\\\sigma_s=\sigma/\sqrt{n}=35,000/\sqrt{49}=35,000/7=5,000

If X ¯ is the mean sales price of the sample, it will have a mean value of E(X ¯)=210,000.

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2 years ago
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5 0
2 years ago
A die is thrown. Describe the following events: (i) A: a number less than 7 (ii) B: a number greater than 7 (iii) C: a multiple
netineya [11]

A: The probability of a number rolling less than 7 is 100% or 1 because a dice only has numbers 1,2,3,4,5, and 6. 1,2,3,4,5, and 6 are all less than 7 so you are guaranteed to roll a number less than 7.

B: The probability of a number rolling more than 7 is 0% or 0 because a dice only has numbers 1,2,3,4,5, and 6. 1,2,3,4,5, and 6 are all less than 7 so it's not possible to roll a number more than 7.

C: The probability of a number rolling to be a multiple of three is 33.33(repeating)% or 1/3. Out of 1,2,3,4,5, and 6, the multiples of 3 are, 3 and 6. 3 and 6 is two numbers out of six numbers. 2 out of 6 simplifies to 1 out of 3.

D: The probability of a number rolling to be less than 4 is 50% of 1/2. Out of the numbers, 1,2,3,4,5, and 6, only 1,2, and 3 are less than 4. 1,2, and 3 is three numbers out of six numbers. 3 out of 6 simplifies to 1 out of 2.

E: The probability of a number rolling to be an even number greater than 4 is 0.166(repeating) or 1/6. Out of the numbers, 1,2,3,4,5, and 6, 2,4, and 6 are even numbers. Out of 2,4, and 6, only 6 is greater than 4. 4 is one number out of 1,2,3,4,5, and 6 (six numbers).

F: The probability of a number rolling to be a number not less than 3 is 50% or 1/2. "Not less than" actually means greater than. In the numbers, 1,2,3,4,5, and 6, only 4,5, and 6 are greater than 3. 4,5, and 6 are three numbers. 3 out of 6 simplifies to 1 out of 2.

I don't really know the answer to the last question but anyways I hope this helped! ♡

❀ Have a good day! ❀

8 0
3 years ago
A blue print for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the bluep
solniwko [45]
3 inches long and 5.5 inches wide.....1 inch = 10 ft

3 inches = (3 * 10) = 30 ft long <==
5.5 inches = (5.5 * 10) = 55 ft wide <==
8 0
2 years ago
Read 2 more answers
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