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vladimir1956
1 month ago
7

The waiting time, in hours, between successive speeders spotted by a radar unit is a continuous ran- dom variable with a cumulat

ive distribution function ???? F(x)= 0, x<0, 1−e−4x, x≥0. Find the probability of waiting fewer than 12 minutes between successive speeders.
Mathematics
1 answer:
zzz [12.3K]1 month ago
4 0

Answer: 0.5507

Step-by-step explanation:

Given: The time between sightings of speeders by a radar system is represented by the continuous random variable X, which follows a cumulative distribution function

F(x)= \begin{cases}0,& x

If we convert 12 minutes into hours, it equals \dfrac{12}{60} hours or 0.2 hours.

To find the probability of waiting less than 12 minutes:

P(X

Thus, the probability we are looking for is: 0.5507

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A low-strength children’s/adult chewable aspirin tablet contains 81 mg of aspirin per tablet. How many tablets may be prepared f
Svet_ta [12734]

Answer:

From 1 kg of aspirin, a total of 12,345 tablets can be produced.

Step-by-step explanation:

This query mentions that low-strength chewable aspirin tablets for children and adults contain 81 mg of aspirin each, asking how many tablets can be made from 1 kg of aspirin.

Considering the weight of a tablet measured in kg, we start by converting 81 mg to kg.

Each kg equals 1,000,000 mg. Hence

1 kg - 1,000,000 mg

x kg - 81 mg.

1,000,000x = 81

x = \frac{81}{1,000,000}

Therefore, x = 0.000081 kg.

Each tablet essentially contains 0.000081 kg of aspirin. To find out how many tablets this yields from 1 kg of aspirin:

1 tablet - 0.000081 kg

x tablets - 1 kg

0.000081x = 1

x = \frac{1}{0.000081}

Thus, x = 12,345 tablets.

Therefore, a total of 12,345 tablets can be manufactured from 1 kg of aspirin.

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1 month ago
A Facebook ad targets an audience of 700,000. Narrowing the audience to women reduces the audience by 45%. What is the resulting
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700,000 * 45%
700,000 *.45 = 315,000
Final audience is 315,000
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26 days ago
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How many pairs of whole numbers have a sum of 99
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There are 50 pairs of whole numbers that can add up to 99. To clarify, consider the combinations: 0 + 99, 1 + 98, 2 + 97, and so on, up to 49 + 50. This observation indicates that counting all combinations would result in 50 pairs of distinct whole numbers that sum to 99. I hope this response assists you!
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Deep Blue, a deep sea fishing company, bought a boat for $250,000. After 9 years, Deep Blue plans to sell it for a scrap value o
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Answer:

Hence, utilizing linear depreciation gives us 17222.22.

Step-by-step explanation:

The boat's initial value is noted to be $250,000.

The straight-line depreciation method for calculating a boat is as follows:

Cost of the boat is $250,000.

Deep Blue anticipates selling it for $95,000 after 9 years.

Employing the formula, we calculate:

(250000-95000)/9=155000/9=17222.22

Thus, the outcome using linear depreciation is 17222.22.

8 0
1 month ago
Jenna saves $2,500 per year in an account that earns 10% interest per year, compounded annually. Jenna will have(A $411,234) (B
Leona [12618]

Response:

The result is $43623.50

Detailed explanation:

This query involves compound interest.

The formula for calculating compound interest is

A=P(1+r)^t

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Provided information

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Inserting values into the compound interest formula and calculating A gives us

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A=2500*17.449

A=$43623.50

The total amount is $43623.50

The balance in her account comes from Jenna’s (A annuity payments)

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