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soldi70 [24.7K]
3 years ago
15

Space provided.

Mathematics
1 answer:
lianna [129]3 years ago
7 0

Answer:

1) The slope of the line is m=\frac{5}{2}  or  m=2.5

2) The equation of the line is y=2.5x-4

Step-by-step explanation:

step 1

Find the slope

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

take any two points from the values in the table

(2,1) and (4,6)

substitute the values in the formula

m=\frac{6-1}{4-2}

m=\frac{5}{2}

m=2.5

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=2.5

point\ (2,1)

substitute

y-1=2.5(x-2)

Convert to slope intercept form

isolate the variable y

y-1=2.5x-5

y=2.5x-5+1

y=2.5x-4

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Answer:

a) 61.2, b) 38.4 and c) 4.98

Step-by-step explanation:

Given:

The mean width of 12 I-Pads is 5.1 inches.

The mean width of 8 Kindles is 4.8 inches.

Question asked:

a. What is the total width of the I-Pads?

b. What is the total width of the Kindles?

c. What is the mean width of the 12 I-Pads and 8 Kindles?

Solution:

<u>As we know:</u>

<u />Mean =\frac{Sum\ of\ observations}{Number\ of\ observations}\\ \\ Mean\ width =\frac{Sum\ of\ width\ of\ all \ I-pad}{Number \  of\ I-pad}

5.1=\frac{Sum\ of\ width\ of\ all\ I-pad}{12} \\ \\ By \ cross\ multiplication\\ \\ Sum\ of\ width\ of\ all\ I-pad}=5.1\times1 2\\ \\ Sum\ of\ width\ of\ all\ I-pad}= 61.2

a) Thus, the total width of the I-Pads are 61.2 inches.

Mean\ width =\frac{Sum\ of\ width\ of\ all\ Kindles}{Number \  of\ Kindles}

4.8=\frac{Sum\ of\ width\ of\ all\Kindles}{8} \\ \\ By \ cross\ multiplication\\ \\ Sum\ of\ width\ of\ all \ Kindles=4.8\times8\\ \\ Sum\ of\ width\ of \ all\ Kindles}=38.4

b) Thus, total width of the Kindles are 38.4 inches.

Combined width of both I-pad and Kindles = 61.2 + 38.4 = 99.6 inches

Combined number of observations = 12 + 8 =20

Combined mean of width of the 12 I-Pads and 8 Kindles = Combined width of both I-pad and Kindles \div Combined number of observations

Combined mean of width of the 12 I-Pads and 8 Kindles = \frac{99.6}{20} =4.98\ inches

c) Thus, the mean width of the 12 I-Pads and 8 Kindles is 4.98 inches.

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Step-by-step explanation:

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Answer:

D

Step-by-step explanation:

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We can therefore use Pythagoras' Theorem (or Pythagorean Theorem) to solve. The formula for this is a²+b²=c², where c is the hypotenuse, and a and b are the sides.

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From there subtracting 12100 from both sides gives b²=5626.2596.

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**This content involves Pythagoras' Theorem/Pythagorean Theorem, which you may wish to revise. I'm always happy to help!

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