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baherus [9]
3 years ago
14

The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv

er normally flows at a speed of 3 miles per hour. What must its speed be in order to transport particles that are 200 times as massive as usual? Round your answer to the nearest hundredth.
The speed of the river must be about BLANK miles per hour
Mathematics
1 answer:
katrin2010 [14]3 years ago
8 0

Answer:

7.25

Step-by-step explanation:

200m/s^6 = m/3^6

s^6 = 200*3^6

s = 3*200^(1/6) = 7.25 mi/hr

Hope I helped!


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12% of 80 working out​
horsena [70]

How to do the problem:
Assuming that you mean you want 12% of the number 80 and showing work, here is the answer:

To get X percent of any number, write the percent as a decimal and then multiply that decimal by the whole.

What I mean:

You want 12% of 80
so first change 12% into a decimal
12% is equal to .12 as a decimal

Then multiply that decimal by the whole
Since you want 12%  of 80, 80 is the whole

that means you do .12 * 80
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12% of 80 = 9.6

4 0
3 years ago
400 Suppose a particular surveillance system has a 99% chance of correctly identifying a future terrorist and a 99.8% chance of
alexgriva [62]

Answer:

1.236 × 10^(-3)

Step-by-step explanation:

Let A be the event that the person is a future terrorist

Let B the event that the person is identified as a terrorist

We are told that there are 1,000 future terrorists in a population of 400 million. Thus, the Probability that the person is a terrorist is;

P(A) = 1000/400000000

P(A) = 0.0000025

P(A') = 1 - P(A)

P(A') = 1 - 0.0000025

P(A') = 0.9999975

We are told that the system has a 99% chance of correctly identifying a future terrorist. Thus; P(B|A) = 0.99

Thus, P(B'|A) = 1 - P(B|A)

P(B'|A) = 1 - 0.99

P(B'|A) = 0.01

We are told that there is a 99.8% chance of correctly identifying someone who is not a future terrorist. Thus; P(B'|A') = 0.998

Hence: P(B|A') = 1 - P(B'|A')

P(B|A') = 1 - 0.998

P(B|A') = 0.002

We want to find the probability that someone who is identified as a terrorist, is actually a future terrorist. This is represented by: P(A|B)

We can find it from bayes theorem as follows;

P(A|B) = [P(B|A) × P(A)]/[(P(B|A) × P(A)) + (P(B|A') × P(A')]

Plugging in the relevant values;

P(A|B) = [0.99 × 0.0000025]/[(0.99 × 0.0000025) + (0.002 × 0.9999975)]

P(A|B) = 0.00123597357 = 1.236 × 10^(-3)

8 0
3 years ago
Express the limit as a definite integral on the given interval.
san4es73 [151]

9514 1404 393

Answer:

  \displaystyle\int^5_2 {(3x^3-7x)} \, dx

Step-by-step explanation:

The interval of interest becomes the limits of integration. ∆x becomes dx, and the xi are replaced by the variable of integration, x.

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Sphinxa [80]

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Step-by-step explanation:

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Type of angle foremd= right

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4 0
3 years ago
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