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2 years ago

Find the slope of the line (2,3) (13,8)

Mathematics

1 answer:

alexandr1967 [171]2 years ago

6 0

Answer:

$\boxed{m=\frac{5}{11}}$

Step-by-step explanation:

$\left(2,\:3\right)\:\left(13,\:8\right)$

$\mathrm{Slope}=\cfrac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(2,\:3\right)$

$\left(x_2,\:y_2\right)=\left(13,\:8\right)$

$Slope(m)=\frac{8-3}{13-2}$

$m=\frac{5}{11}$

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What is the median of this data set? {29, 22, 23, 31, 29, 29, 22, 23} Enter your answer in the box.

GaryK [48]

Answer:

The median is 26

Step-by-step explanation:

A "median" is equivalent to, when the terms are arranged in the proper order, whichever term is in the "middle".

So- first, arrange the terms in ascending order.

[22, 22, 23, 23, 29, 29, 29, 31]

There are an even number- eight- terms in total, so we will take the average of the two "middle" terms.

(29+23)/2; 29 and 23 are the "middle" terms, and there are two of them.

(52)/2 = 26

Therefore, the median is 26.

I hope this helped! :)

4 0

2 years ago

What are the coordinates of P' if P (-5,-4) undergoes a dilation, centered at the origin, with a scale factor of K=2?

Margaret [11]

Answer:

$P' = (-10,-8)$

Step-by-step explanation:

Given

$P = (-5,-4)$

$k =2$

Required

Determine the image P'

P' is calculated by multiplying P and k.

i.e.

$P' = P * k$

This gives:

$P' = (-5,-4) * 2$

$P' = (-5* 2,-4* 2)$

$P' = (-10,-8)$

Hence, the image P' after dilating P is (-10,-8)

7 0

3 years ago

Multiply. 2/7 x 35 =

Illusion [34]

If you would like to calculate 2/7 * 35, you can do this using the following steps:

2/7 * 35 = 2 * 35/7 = 2 * 5 = 10

The correct result would be 10.

6 0

3 years ago

F(x) = | 5x + 1 | - 3 g(x) = 4 Find (f - g) (x)

Slav-nsk [51]

Answer: |5x+1|-7

Step-by-step explanation:

$(f-g)(x)=f(x)-g(x)=(|5x+1|-3)-4=\boxed{|5x+1|-7}$

7 0

2 years ago

Learning the basics 6.23 suppose you select one value from a uniform distribution with a=0and b=10.what is the probability that

IgorC [24]

The area under the graph of the continuous uniform distribution is 1.
a. The probability that the value will be between 5 and 7 is the area between 5 and 7.
$P(5 \ \textless \ x \ \textless \ 7) = \frac{2}{10} = \frac{1}{5}$
b. The probability that the value will be between 2 and 3 is the are between 2 and 3.
$P(2 \ \textless \ x \ \textless \ 3)=\frac{1}{10}$
c. The mean is given by:
$\mu=\frac{a+b}{2}=\frac{0+10}{2}=5$
d. The variance is given by:
$\sigma^2}=\frac{1}{12}(b-a)^{2}=\frac{1}{12}(10)^{2}=8.3333$
The standard deviation is:
$\sqrt{\sigma} = \sqrt{8.3333} =2.887$

5 0

3 years ago