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s2008m [1.1K]
3 years ago
10

Ethan makes $6 per hour mowing lawns and $7.50 per hour bagging groceries. last week, he made a total of $129. The difference be

tween the number of hours bagging groceries and the number of hours mowing lawns was 10. How many hours did Ethan spend mowing lawns?
Mathematics
1 answer:
Fittoniya [83]3 years ago
7 0
Let x be the number of hours of nagging groceries spent by Ethan. With this representation, the number of hours for moving lawns will be x + 10. The equation that would let us solve this item is,
                6x + 7.50(x + 10) = 129
The value of x from the equation is 4. Thus, the number of hours spent for moving lawns is 14 hours. 

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Answer:

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6-8+7-2-8+13

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I got 39 tables.
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The weights of the fish in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 6. if 4 fish
Alexus [3.1K]

Since the sample standard deviation is now known, we use the z-score test. The formula is given as:

z= (X – μ) / (s / sqrt(n))

Where,

X = sample mean = 8.6 lb to 14.6 lb

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s = population standard deviation = 6

n = sample size = 4

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z = - 0.8

Using the standard distribution table for z:

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2nd: Calculating for z when x = 14.6 lb

z = (14.6 – 11) / (6 / sqrt4)

z = 1.2

Using the standard distribution table for z:

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Therefore the probability that the mean weight will be between 8.6 and 14.6 lb:

Probability (8.6 ≤ x ≤ 14.6 ) = 0.8849 - 0.2119

Probability (8.6 ≤ x <span>≤ 14.6 ) = 0.673                         (ANSWER)</span>

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3 years ago
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