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Shalnov [3]
3 years ago
12

A rectangular swimming pool is 8 ft deep. One side of the pool is 3.5 times longer than the other. The amount of water needed to

fill the swimming pool is 4032 cubic feet. Find the dimensions of the pool.
Mathematics
1 answer:
cluponka [151]3 years ago
6 0

Answer:

Dimension of pools are  length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft

Step-by-step explanation:

given that depth of pool = 8 ft

let say one side of pool that is width = x

so other side of pool that is lenght = 3.5x [ given ]

volume of rectangular swimming pool is same as amount of water required to fill the swimming pool = 4032 cubit ft

Volume of rectangular pool = length × width × depth of swimming pool

⇒ 4032 cubic ft = 3.5x × x × 8

⇒ 4032/(3.5 ×8 ) = x²

⇒x² = 144

⇒x = √144 = 12

⇒3.5x = 12 × 3.5 = 42

hence dimension of pools are  length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft


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When factoring a polynomial in the form ax2 + bx + c, where a, b, and c are positive real numbers, the signs in the binomials should be both positive

<h3>What are quadratic equations?</h3>

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

<h3>How to determine the true statement?</h3>

The form of the polynomial is given as:

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Since a, b, and c are positive real numbers. then the form of the expansion would be:

ax2 + bx + c = (dx + e)(fx + g)

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Take for instance, we have the following quadratic equation

x^2 + 6x +  8

Expand the equation

x^2 + 6x +  8 = x^2 + 4x + 2x +  8

Factorize the equation

x^2 + 6x +  8 = (x + 2)(x + 4)


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Answer:

0.62% probability that a random sample of 16 bulbs will have an average life of less than 775 hours.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

Normal probability distribution.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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How to find the percentage conversion:

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Step 2: Since our numerator is 5 and the default denominator is a maximum of 100, we can multiply 5 by 100.

5 x 100 = 500

Step 3: We can divide 100 by 16 to get our decimal conversion.

100 divided by 16 will give us 31.25, which also is representative of 31 and 1/4 added together.

Your final answer: With there being 16 storms, 5 of these storms are major (5/16). In terms of if there were 100 total storms, about 3/10 of these storms were major.
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