Lauren has an above-ground pool. to keep the pool's skimmer working well, the water level must be 4 inches from the top of the p
1 answer:
1885.5 m^3 of water will fill the container.
To find how many cubic feet of water will it contain:
Given -
- Lauren has an above-ground swimming pool.
- The water level in the pool must be 4 inches above the pool's surface in order for the skimmer to function properly.
- π = 3.14
The pool comprises a 12-foot-radius cylinder with a height of 4.5 feet.
- Height of pool = 4.5 ft
- Radius of pool = 12 ft
- The height of the water is 4 inches below the pool top
- 12 inches make 1 ft
- 4 inches = 4/12 ft = 0.33 ft
- Therefore, height of water = 4.5 - 0.33 = 4.17 ft
The volume of the water in this section of the cylinder will be equal to the volume of the cylinder formed.
- The volume of the cylinder formed by the water = volume of water =
- volume = 3.14 x
x 4.17 = 1885.5 m^3 of water
Therefore, 1885.5 m^3 of water will fill the container.
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The complete question is given below:
Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the pool. When the pool is filled to this recommended level, approximately how many cubic feet of water will it contain? Use π = 3.14
A cylinder with a radius of 12 feet and a height of 4.5 feet.
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Answer:
0.25 = 25% probability that it will rain today and ruin your picnic
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Cloudy skies
Event B: Rain
20% of all days start with clouds in the air
This means that
50% of rainy days start with rain clouds in the air
50% of 10%. So
What is the probability that it will rain today and ruin your picnic
0.25 = 25% probability that it will rain today and ruin your picnic
Answer:
Type I error: Concluding that mean mileage is less than 32 miles per hour when actually it is greater than or equal to 32 miles per gallon.
Step-by-step explanation:
We are given the following in the question:
Hypothesis:
Mean mileage for the Carter Motor Company's new sedan
We can design the null hypothesis and alternate hypothesis as:
Type I error:
- It is the false positive error.
- It is the error of rejection a true hypothesis.
Type II error:
- It is the false negative error.
- It is the non rejection of a false null hypothesis.
Thus, type I error for the given hypothesis is concluding that mean mileage is less than 32 miles per hour when actually it is greater than or equal to 32 miles per gallon.
Type II error would be concluding that mean mileage is greater than or equal to 32 miles per gallon when actually it is less than 32 miles per gallon.