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elena-14-01-66 [18.8K]
3 years ago
7

A swimming pool is circular with a 30-ft diameter. the depth is constant along east-west lines and increases linearly from 1 ft

at the south end to 6 ft at the north end. find the volume of water in the pool. (round your answer to the nearest whole number.
Mathematics
1 answer:
USPshnik [31]3 years ago
8 0
Is the pool otherwise cylindrical
?

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Solve 3x≤ -6 graph the sloution
Bess [88]

3x≤-6

x=-2

mark it on the x axis and then shade to the left

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How to find the point that is equidistant from (5,-5) and (1,1)
Lina20 [59]

Answer:

(3, -2)

Step-by-step explanation:

The <em>midpoint</em> of two points is half-way between the x-values and the y-values.

The formula is

M = ((x₁ + x₂)/2, (y₁ + y₂)/2)

For the points (5,-5) and (1,1),

Half way between the x values is

(x₁ + x₂)/2 = (5 + 1) /2 =  6/2 =  3

Half way between the y values is

(y₁ + y₂)/2= (-5 + 1)/2  = -4/2 = -2

M = (3, -2)

The graph below shows your two points at (5,-5) and (1,1) and the mid-point at (3, -2).

3 0
3 years ago
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5
masya89 [10]

Answer:

z= \frac{3.44-2.54}{0.45}=2

P(X>3.44) = P(Z>2) = 0.025

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the grade points avergae of a population, and for this case we know the following properties

Where \mu=2.54 and \sigma=0.45

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:

z= \frac{3.44-2.54}{0.45}=2

So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that:

P(X>3.44) = P(Z>2) = 0.025

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anygoal [31]

Answer:

Mark would be 9

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Alisiya [41]

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Step-by-step explanation:

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