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kumpel [21]
2 years ago
12

Business services ordered a chair that cost $220.59. Upon arrival they received an invoice for $261.47. If the California sales

tax rate is 7.9% what is the cost of shipping and handling
Mathematics
2 answers:
jonny [76]2 years ago
8 0

Answer:

The cost of shipping and handling is $23.45 .

Step-by-step explanation:

As given

Business services ordered a chair that cost $220.59.

if the California sales tax rate is 7.9%

7.9% is written in the decimal form

= \frac{7.9}{100}

= 0.079

Thus

Sales tax price = 0.079 × Cost of the chair

                         = 0.079 × $220.59

                         = $ 17.43 (Approx)

Thus

Cost of the  ordered chair with sales tax price = Cost of the chair + Sales tax price .

                                                                            = $ 220.59 + $17.43

                                                                            = $ 238.02

As given

Upon arrival they received an invoice for $261.47.

Thus

Cost of  shipping and handling = Cost mentioned in invoice - Cost of the  ordered chair with sales tax price.

Put all the values in the above

Cost of  shipping and handling = $261.47 - $238.02

                                                   = $ 23.45

Therefore the cost of shipping and handling is $23.45 .

sladkih [1.3K]2 years ago
6 0

Answer:

Cost of shipping and handling = $23.453

Step-by-step explanation:

Given

Price of Chair=$220.59

Tax=7.9%

Invoice Price=$261.47

In order to find the cost of shipping and handling, we have to subtract the cost of chair and the tax from the invoice price of chair.

To find the tax,

Tax amount=220.59*0.079

=$17.42661

Now,

Cost of shipping and handling=$261.47-$220.59-$17.42661

=$23.453 ..

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Answer:

a) 0.019

b) 0.563

c) x = 1.966 hours

Step-by-step explanation:

E(X) = 1

Exponential random variable's probability function is given as

P(X=x) = λ e^(-λ.x)

The cumulative distribution function is given as

P(X ≤ x) = 1 - e^(-λ.x)

a) The time between the arrivals of small aircraft at a county airport that is exponentially distributed.

But the number of planes that land every hour will be obtained using the Poisson distribution formula.

It is the best for discrete systems.

Poisson distribution formula is given as

P(X = x) = (e^-λ)(λˣ)/x!

λ = 1 aircraft per hour.

The probability that more than three aircraft arrive within an hour = P(X > 3)

P(X > 3) = 1 - P(X ≤ 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

P(X > 3) = 1 - 0.98101 = 0.01899 = 0.019 to 3 d.p

b) If 30 separate one-hour intervals are chosen, what Is the probability that no interval contains more than three arrivals

Probability of one 1-hour interval not containing more than 3 arrivals = 1 - P(X > 3)

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Probability that thirty 1-hour intervals will not contain more than 3 arrivals = (0.98101)³⁰ = 0.5626 = 0.563 to 3 d.p

c) Determine the length of an interval of time (In hours) such that the probability that no arrivals occur during the interval is 0.14

We can now use the cumulative distribution function for exponential random variable for this

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P(X > x) = 1 - P(X ≤ x)

P(X > x) = e^(-λ.x)

λ = 1, x = ?,

0.14 = e⁻ˣ

e⁻ˣ = 0.14

In e⁻ˣ = In 0.14 = -1.966

-x = -1.966

x = 1.966 hours

Hope this Helps!!!

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