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Alex73 [517]
2 years ago
10

A particular employee arrives at work sometime between 8:00 a.m. and 8:30 a.m. Based on past experience the company has determin

ed that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:30 a.m. Find the probability that the employee will arrive between 8:15 a.m. and 8:25 a.m. Round your answer to four decimal places, if necessary.
Mathematics
1 answer:
Gala2k [10]2 years ago
8 0

Answer:

0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:

P(c \leq X \leq d) = \frac{d - c}{b - a}

A particular employee arrives at work sometime between 8:00 a.m. and 8:30 a.m.

We can consider 8 am = 0, and 8:30 am  = 30, so a = 0, b = 30

Find the probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.

Between 15 and 25, so:

P(15 \leq X \leq 25) = \frac{25 - 15}{30 - 0} = 0.3333

0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.

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The price of a television before tax is $1625.00. The total price with tax is $1,803.75. What is the rate of the sales tax?
Oksanka [162]

Answer:

11%

Step-by-step explanation:

A sales tax is placed on goods and services once the buyer and seller  agree on what the exchange of currency is.

In this case you take the tax on the 1625 and not the 1803.75.

The buyer agreed to buy the item for 1625 and the seller agreed to sell it for that amount. So the tax goes on 1625.

Tax amount = total price - selling price

Tax amount = 1803.75 - 1625

Tax amount = 178.75

That's not what you want. You want the % of the tax.

% Tax = (Tax Amount / Selling Price) * 100

% Tax = (178.75 / 1625) * 100

% Tax = 0.11 * 100

% Tax = 11%                        Answer

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Top left graph. Shows every gallon of gas gets 25 miles.
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27 is 72% of what number?
NNADVOKAT [17]

Answer:

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Step-by-step explanation:

37.5 · 0.72 = 27

5 0
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A compressed air tank carried by scuba divers has a volume of 8.00 L and a pressure of 141 atm at 22.0°C. What is the volume (in
weqwewe [10]

Answer:

Volume of air in the tank =1,044 Liter

Step-by-step explanation:

Given:

Tank volume = 8 Liter

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Temperature = 22°C = 273° + 20° = 295° K

Find:

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Computation:

\frac{Pressure\times Tank\ volume}{Tempreture} =\frac{Pressure\times Air\ volume}{Tempreture}\\\\\frac{141\times 8}{295} =\frac{1\times Air\ volume}{273.15}\\\\\frac{1,128}{295} =\frac{Air\ volume}{273.15}\\\\Air\ volume=1,044.45

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Ostrovityanka [42]

Answer:

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Step-by-step explanation:

We can find the slope using the slope formula

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2 years ago
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