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e-lub [12.9K]
3 years ago
8

Jennifer belongs to a gym that requires a monthly membership fee of $60 plus an additional $15 fee for each yoga class she atten

ds. Which of the following slope-intercept form equations models the total amount that Jennifer pays monthly?
A.
y = –60x + 15
B.
y = –15x + 60
C.
y = 15x + 60
D.
y = 60x + 15
Mathematics
1 answer:
Gnesinka [82]3 years ago
4 0
Answer To The Question

C. y=15x+60
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A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 300 milliliters
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Answer:

e. 0.0072

Step-by-step explanation:

We are given that a bottling company uses a filling machine to fill plastic bottles with cola. And the contents vary according to a Normal distribution with Mean, μ = 298 ml and Standard deviation, σ = 3 ml .

 Let    Z = \frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)  where, Xbar = mean contents of six randomly

                                                                     selected bottles

                                                          n = sample size i.e. 6    

So, Probability that the mean contents of six randomly selected bottles is less than 295 ml is given by, P(Xbar < 295)

 P(Xbar < 295) = P( \frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } } < \frac{295 - 298}{\frac{3}{\sqrt{6} } } ) = P(Z < -2.45) = P(Z > 2.45)

Now, using z% score table we find that P(Z > 2.45) = 0.00715 ≈ 0.0072 .

Therefore, option e is correct .

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A line passes through the point (-2, 4), and its y-intercept is (0,6). What is the equation of the line that is
MatroZZZ [7]

Answer:

y = -x + 9

Step-by-step explanation:

The line that passes through the points (-2,4) and (0,6) has a slope of 1, and a y intercept of 6. The equation to the first line is y = x + 6. and perpendicular lines always have the opposite, reciprocal slope of the other line. So the slope for the second line would be -1. A line with the slope of -1 and a point of (5,4) would contain the points (5,4) , (4,5) , (3,6) , (2,7) , (1,8) , and (0,9) , which is the y intercept for the second line. So the equation for the second line would be y = -x + 9

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Answer:

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Step-by-step explanation:

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