<h3>
Answer: C) 13 gallons</h3>
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Work Shown:
(150 miles)/(6 gallons) = (325 miles)/(x gallons)
150/6 = 325/x
150*x = 6*325 .... see note below
150x = 1950
x = 1950/150 .... divide both sides by 150
x = 13 gallons is the final answer
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Note: in this step, I cross multiplied. The general template for cross multiplication is that we go from A/B = C/D to A*D = B*C. As the name implies, the "cross" refers to the "X" shape that forms when you multiply the terms.
Answer:
17310.6
$540.15 multiply 30
because if they ask all in every month is 540.15
and she got 30 year
Answer: 1/24
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Work Shown:
A = selects green pair of shorts
B = selects gray t-shirt
P(A) = probability of selecting green shorts
P(A) = (number of green shorts)/(number of shorts total)
P(A) = 1/6
P(B) = probability of selecting gray t-shirt
P(B) = (number of gray t-shirts)/(number of t-shirts total)
P(B) = 1/4
P(A and B) = probability of selecting green shorts AND gray t-shirt
P(A and B) = P(A)*P(B) ... since A and B are independent events
P(A and B) = (1/6)*(1/4)
P(A and B) = (1*1)/(6*4)
P(A and B) = 1/24
Note: The fraction 1/24 is approximately equal to 0.041667
When measuring a penny, using the millimeter measurement would be more accurate then using inches or centimeters.
Answer: d) 0.31
Step-by-step explanation:
Given : In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes.
i.e.
and ![\sigma= 5.4](https://tex.z-dn.net/?f=%5Csigma%3D%205.4)
It is assumed that this is a normally distributed variable.
Let x denotes the time spend by a person on treadmill.
Then, the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.
![P(30](https://tex.z-dn.net/?f=P%2830%3Cx%3C40%29%3DP%28%5Cdfrac%7B30-42.5%7D%7B5.4%7D%3C%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3C%5Cdfrac%7B40-42.5%7D%7B5.4%7D%29%5C%5C%5C%5C%5CapproxP%28-2.31%3Cz%3C0.46%29%5C%5C%5C%5C%3DP%28z%3C-0.46%29-P%28z%3C-2.31%29%5C%20%5C%20%5B%5Cbecause%5C%20P%28z_1%3Cz%3Cz_2%29%3DP%28z%3Cz_2%29-P%28z%3Cz_1%29%5D%5C%5C%5C%5C%3D1-P%28z%3C0.46%29-%281-P%28z%5Cleq2.31%29%29%5C%20%5C%20%5B%5Cbecause%20P%28Z%3Ez%29%3D1-P%28Z%5Cleq%20z%29%5D%5C%5C%5C%5C%3D1-0.6772419-%281-0.9895559%29%5C%20%5C%20%5Ctext%7B%5BBy%20using%20z-table%20or%20calculator%5D%7D%5C%5C%5C%5C%3D0.3227581-0.0104441%3D0.312314%5Capprox0.31)
Hence, the required probability = 0.31
Thus , the correct answer = d) 0.31