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OLEGan [10]
3 years ago
8

Virginia beach is about 20 miles wide and 28 miles long. if one inch of rain falls there during a daily rain shower, how many cu

bic feet of rain fell? (convert all units to feet first)
Mathematics
2 answers:
S_A_V [24]3 years ago
6 0
In this question, you are given the width( 20 miles), the length(28 miles) and the height( 1 inch). You are asked to count the rain water volume which was going with formula length x width x height. But the unit asked is ft, so you need to convert them all. The calculation would be:

Water volume= length x width x height
Water volume= 20 miles x 5280ft/miles x 28 miles x 5280ft/miles x 1inch x 1ft/12inch
Water volume = 1300992000 cubic ft.
OverLord2011 [107]3 years ago
4 0
As we know 1 miles = 5280 feet.
Firstly we will convert everything into feet.

So Length = 28 miles =  28 * 5280 feet = 147,840 feet

Width = 20 miles = 20 * 5280 feet = 105,600 feet.

Depth = 1 inch=  1 * 1/12 feet = 1/12 feet
(because 1 inch = 1/12 feet)

So Volume = Length * Width * Depth
                   = 147840 * 105600 * 1/12 = 1300,992,000 cubic feet.

So we can say 1300,992,000 cubic feet rain fell.
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The CEO of a clothing company estimates that 52% of customers will make a purchase. Part A: How many customers should a salesper
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Answer:

(a) The expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.

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Step-by-step explanation:

Let<em> </em>the random variable <em>X</em> be defined as the number of customers the salesperson assists before a customer makes a purchase.

The probability that a customer makes a purchase is, <em>p</em> = 0.52.

The random variable <em>X</em> follows a Geometric distribution since it describes the distribution of the number of trials before the first success.

The probability mass function of <em>X</em> is:

P(X=x)=(1-p)^{x}p

The expected value of a Geometric distribution is:

E(X)=\frac{1-p}{p}

(a)

Compute the expected number of should a salesperson expect until she finds a customer that makes a purchase as follows:

E(X)=\frac{1-p}{p}

         =\frac{1-0.52}{0.52}\\=0.9231

This, the expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.

(b)

Compute the probability that a salesperson helps 3 customers until she finds the first person to make a purchase as follows:

P(X=3)=(1-0.52)^{3}\times0.52\\=0.110592\times 0.52\\=0.05750784\\\approx 0.058

Thus, the probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.

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Ingrid Nilsen purchased a $4,000 hydroponic system for her garden. The down payment is 20%, and the
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The purchase of the hydroponic system by Ingrid Nilsen for $4,000 with a 20% down payment at 10% APR for 36 months, and the related calculations, are as follows:

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d) total amount repaid = $4,517

e) finance charge = $517

<h3>How is periodic payment computed?</h3>

The amount of the periodic payment, finance charge, and total repayment can be computed using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

Auto Price = $4,000

Loan Term = 36 months

Interest Rate = 10%

Down Payment = $800 ($4,000 x 20%)

Monthly Payment  = $103.25

Total Loan Amount $3,200.00

Upfront Payment = $800.00 ($4,000 x 20%)

Total of 36 Loan Payments = $3,717. ($103.25 x 36)

Total Loan Interest = $517

Total Cost (price, interest, tax, fees) = $4,517

Thus, Ingrid Nilsen repaid a total of $4,517 with $517 in interest (finance charge).

Learn more about periodic payments at brainly.com/question/13098072

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