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jeka94
2 years ago
8

A recent poll found that 35% of those surveyed are worried about aggressive drivers on the road. If three people are selected at

random, what is the probability that all three will be worried about aggressive drivers on the road?
Mathematics
1 answer:
Ugo [173]2 years ago
5 0

The probability that all three people surveyed is an independent probability and the calculated probability is 0.1225

The probability a surveyed driver is worried = 35%

  • P(worried) = 0.35

  • Number of people surveyed = 3

Since the probability of being worried is independent ;

  • Probability = P(A) × P(B) × P(C)

The probability that all 3 surveyed are worried :

  • P(worried) × P(worried) × P(worried)
  • (0.35 × 0.35 × 0.35) = 0.1225

Therefore, the probability that all three people surveyed are worried is : 0.1225

Learn more : brainly.com/question/18153040

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Answer:

15.2~mph

Step-by-step explanation:

Let the time flown by the flying carpet be t. Then, we have that (2.4)/t=(1.4)/t+2*4.

We multiply both sides of the equation by t to get 2.4=1.4+8t.

We subtract 1.4 from both sides to get 1=8t.

We divide both sides of the equation by t=1/8.

We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.

The speed with wind is (2.4)/(1/8)=19.2mph.

The speed against wind is (1.4)/(1/8)=11.2mph.

The speed in still wind is (19.2+11.2)/2=(30.4)/2=15.2.

Therefore, the answer is \boxed{15.2~mph} and we're done!

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3 years ago
What is the simplified form of StartRoot StartFraction 72 x Superscript 16 Baseline Over 50 x Superscript 36 Baseline EndFractio
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Answer:

  StartFraction 6 Over 5 x Superscript 10 Baseline EndFraction

Step-by-step explanation:

Apparently you want to simplify ...

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The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  1/a^b = a^-b

  (a^b)^c = a^(bc)

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So the expression simplifies as ...

  \sqrt{\dfrac{72x^{16}}{50x^{36}}}=\sqrt{\dfrac{36}{25x^{36-16}}}=\sqrt{\dfrac{36}{25x^{20}}}\\\\\sqrt{\left(\dfrac{6}{5x^{10}}\right)^2}=\boxed{\dfrac{6}{5x^{10}}}

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3 years ago
Find the percent of change the original cost was 50. And the new cost is 60
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Step-by-step explanation:

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I'm having trouble figuring out how I could go about this. Can someone work it out then explain so that I know how to do this ne
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Answer:

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Angle R=Angle Q, because it is an isosceles triangle

Triangle AR

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AT=AS

Because TAS is isosceles, angles 5 and 6 are equal.

Therefore, angles 4 and 7 are equal, because they are supplementary angles of the same angle.

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The triangles RAT and QAS are congruent with SAS.

Step-by-step explanation: Can u gimme brain plz!

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