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Setler [38]
4 years ago
14

Find an equation for the line with slope m=6/5 and which goes through the point (15,8)

Mathematics
1 answer:
Charra [1.4K]4 years ago
8 0

Answer:

The answer is

<h2>y =  \frac{6}{5} x - 10</h2>

Step-by-step explanation:

To find an equation of a line given a point and slope we use the formula

<h3>y -  y_{1} = m(x -  x_{1})</h3>

where

m is the slope

( x1 , y1) is the point

From the question the point is (15,8) and the slope is 6/5

Substitute the values into the above formula and solve

That's

<h3>y - 8  =  \frac{6}{5} (x - 15) \\ y - 8 =  \frac{6}{5} x - 18 \\ y =  \frac{6}{5} x - 18 + 8</h3>

We have the final answer as

<h3>y =  \frac{6}{5} x - 10</h3>

Hope this helps you

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For five mathematics tests, your scores were 81, 86, 81, 76, 71. what was your average score?
trasher [3.6K]

add them together then divide by 5

81 +86 +81 +76 +71 = 395

395/5 = 79

 your average was 79

7 0
4 years ago
Each morning John eats some eggs. On any given morning, the number of eggs he eats is equally likelyto 1, 2, 3, 4, or 5 independ
qaws [65]

Answer:

Mean = 3

Variance = 2

Step-by-step explanation:

Since number of eggs he eats is equally likely to any 5 numbers, probability of each one will be (1/5) = 0.2

The probability mass function will therefore be

x 1 2 3 4 5

p 0.2 0.2 0.2 0.2 0.2

The mean is given as the expected value

And expected value is given as

E(X) = Σ xᵢpᵢ

where x = each possible sample space

p = probability of the sample space occurring.

E(X) = (1×0.2) + (2×0.2) + (3×0.2) + (4×0.2) + (5×0.2) = 3 eggs.

b) Variance is given by

Variance = Var(X) = Σx²p − μ²

where μ = E(X)

Σx²p = (1² × 0.2) + (2² × 0.2) + (3² × 0.2) + (4² × 0.2) + (5² × 0.2) = 0.2 + 0.8 + 1.8 + 3.2 + 5 = 11

Var(X) = Σx²p − μ² = 11 - 3² = 11 - 9 = 2

5 0
3 years ago
4y+4/3 =12<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4x%20%2B%204%7D%7B3%7D%20%20%3D%2012" id="TexFormula1" title=" \fra
balandron [24]

\frac{4x+4}{3} = 12

Multiply both sides by 3.

4x + 4 = 36

Subtract 4 from both sides.

4x = 32

Divide both sides by 4.

x = 8

5 0
4 years ago
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Neporo4naja [7]

Answer:

Exact form: 23/12

Decimal form: 1.916 repeating

Mixed number form: 1_11/12

Step-by-step explanation:

Turn 2_1/4 into fraction

(2 x 4) = 8 + 1 = 9

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6 0
3 years ago
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Hugo is three years old
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