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yanalaym [24]
3 years ago
13

A boy wants to jump onto a carousel that is spinning at a rate of 14 revolutions per minute. If the carousel is 23 feet in diamt

er, how fast must the boy run to match the speed of the carousel and jump on?A) 2.68 feet per second.B) 1,011.59 feet per second.C) 33.72 feet per second.D) 16.86 feet per second.
Mathematics
1 answer:
nirvana33 [79]3 years ago
6 0

Answer:

16.86 ft/s

Step-by-step explanation:

Given that

Speed of the carousel, s = 14 rpm

Distance from the carousel, d = 23 ft

To start with, we convert the given speed to revolution per second, so that

s = 14/60 rev/sec

To find the needed speed, we use the formula

v =2πnR, remember that Diameter = 2R, so we substitute D for 2R and get πnD

v = πnD, and we use this to find our needed velocity

v = 3.142 * 14/60 * 23

v = 72.266 * 14/60

v = 16.86 ft/s

Therefore the boy must run at a speed of 16.86 ft/s in order to be able to match the carousel and jump on it

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<em>LCM</em><em> </em><em>of</em><em> </em><em>12</em><em> </em><em>and</em><em> </em><em>10</em><em>=</em><em> </em><em>60</em>

<em>hope</em><em> </em><em>this helps</em><em> </em><em><</em><em>3</em>

5 0
2 years ago
What is the probability that a respondent chosen at random is a male or a​ female?
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Answer:

%50

Step-by-step explanation:

%50 male - %50 female

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2 years ago
If ln(a)=2, ln(b)=3, and ln(c)=5, evaluate the following:<br><br> ln(a^-4/b^1 c^1)
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Ln ( a^(-4) / b^1  c^1 ) =
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4 0
3 years ago
A theater group holds a fund-raiser. It sells 100 raffle tickets for $7 apiece. Suppose you purchase four tickets. The prize is
lys-0071 [83]

Answer:

Check Explanation

Step-by-step explanation:

The random variable X is the possible net amount that leaves or enters one's hands. It is the amount of winnings!

X can take on value of -($7 × 4) = -$28

(That is, none of the four raffle tickets bought is picked to win)

X can also take on value of [$150 - ($7 × 4)] = $122

(That is, one of the four raffle tickets bought is picked to win)

For the probability distribution function, we find the probabilities of the different amount of winnings.

First of, probability of losing = (96/100) = 0.96

Then, probability of winning = (4/100) = 0.04

Probability density distribution is then given as

X | probability

-$28 | 0.96

$122 | 0.04

To go a step further, expected winnings would be

E(X) = Σ xᵢpᵢ = (-28)(0.96) + (122)(0.04)

= -26.88 + 4.88 = -$22

The expected winnings show that this is not a risk worth taking.

Hope this Helps!!!

4 0
2 years ago
A hiker on the Appalachian Trail planned to increase the distance covered by 10% each day. After 7 days, the total distance trav
Anastaziya [24]

Answer:

  6.0 miles

Step-by-step explanation:

The sequence of distances is a geometric sequence with first term a1 and common ratio (1 +10%) = 1.10. The sum of 7 terms of the sequence is ...

  S7 = a1·(r^7 -1)/(r -1)

  56.923 = a1·(1.1^7 -1)/(1.1 -1)

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Dividing by the coefficient of a1 gives its value:

  5.6923/0.9487171 ≈ 5.999997 ≈ 6.000

The hiker traveled 6.0 miles on the first day.

5 0
2 years ago
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