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Setler [38]
3 years ago
12

4. At the local burger joint, 45% of the customers purchase cheeseburgers 1 point

Mathematics
1 answer:
Artist 52 [7]3 years ago
5 0

Answer:

0.8

Step-by-step explanation:

Event  that they bought a burger = A

Event that they purchased fries = B

45% of the customers purchase cheeseburgers.

80% of the customers purchase fries.

Since 80% of the customers purchase fries, if a customer is selected at random:

The probability  that they purchased fries, P(B) = 80% or 0.8.

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Start by distributing the 6 through the parenthses on the left side.

So we have 6x + 24 = 30.

Solving from here, I would subtract 24 from both sides to get 6x = 6.

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Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)
LenaWriter [7]

Answer:

The slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

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  • b is the y-intercept

Given the points

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  • (3, 4)

Determining the slope between (-1, -2) and (3, 4)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)

m=\frac{4-\left(-2\right)}{3-\left(-1\right)}

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Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

4=\frac{3}{2}\left(3\right)+b

switch sides

\frac{3}{2}\left(3\right)+b=4

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subtract 9/2 from both sides

\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}

b=-\frac{1}{2}

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

y = mx+b

y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)

y=\:\frac{3}{2}x\:-\frac{1}{2}

Therefore, the slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}
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