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Alecsey [184]
3 years ago
8

A swimming pool is shaped like a right rectangular prism with length 20 feet, height 8 feet,

Mathematics
2 answers:
Rufina [12.5K]3 years ago
8 0

Answer:

2,100 cubic feet

Step-by-step explanation:

20 × 15 × 8 = 2,400

20 × 15 × 1 = 300

2,400 - 300 = 2,100

eduard3 years ago
8 0

Answer: I took the test it is 2,100

Step-by-step explanation:

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A normally distributed set of numbers has a mean of 75 and a standard deviation of 7.97. What percentage of values lies between
lana [24]

Answer:

63% of the values lies between 70 and 85.

Step-by-step explanation:

We are given that a normally distributed set of numbers has a mean of 75 and a standard deviation of 7.97.

<em>Let X = Set of numbers</em>

The z-score probability distribution for is given by;

                Z = \frac{  X -\mu}{\sigma}  ~ N(0,1)

where, \mu = mean value = 75

            \sigma = standard deviation = 7.97

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, percentage of values that lies between 70 and 85 is given by = P(70 < X < 85) = P(X < 85) - P(X \leq 70)

   P(X < 85) = P( \frac{  X -\mu}{\sigma} < \frac{  85-75}{7.97} ) = P(Z < 1.25) = 0.89435  {using z table}

   P(X \leq 70) = P( \frac{  X -\mu}{\sigma} \leq \frac{  70-75}{7.97} ) = P(Z \leq -0.63) = 1 - P(Z < 0.63)

                                                 = 1 - 0.73565 = 0.26435

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.25 and x = 0.63 in the z table which has an area of 0.89435 and 0.73565 respectively.</em>

Therefore, P(70 < X < 85) = 0.89435 - 0.26435 = 0.63 or 63%

<em>Hence, 63% of the values lies between 70 and 85.</em>

6 0
3 years ago
Find the value of x.
eduard

Answer:

Step-by-step explanation:

3x-3+5x+24+44

3x-3+5×+68

3x+5x-3+68

8x+65

X=65÷8

X=8.125

3 0
3 years ago
I WILL MARK BRAINLIEST!
Luba_88 [7]

Answer:

1.true

2.false

3.false

4.true

5.true

6.false

Step-by-step explanation:

just graph it and look at it

7 0
2 years ago
Simplify the expression<br> (1 + 1/x)(1 - 2/x+1)(1 + 2/x-1)
valentinak56 [21]

Answer: 4(×+1) (×-1)

Step-by-step explanation:

3 0
2 years ago
7) what is the BEST conclusion we can draw from the graph <br><br> (the answers are in the picture)
Viktor [21]

Answer:

a

Step-by-step explanation:

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