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Leokris [45]
3 years ago
15

Jim has 20-inch wheels on his bicycle (their diameter is 20 inches). The tires are worn out, and he would like to cut them into

pieces to use as a bumper on something he's making. Estimate the length of rubber Jim would get from his two bicycle tires. ≈ 60 in. ≈ 40 in. ≈ 120 in. ≈ 136 in.
Mathematics
2 answers:
Dafna11 [192]3 years ago
4 0
≈120in
The equation for circumstance is 2πr and one tire is 62.83 so two tiers would be 125.66 or ≈ 120
ryzh [129]3 years ago
4 0

Answer: 120 in.

Step-by-step explanation:

Given : Jim has 20-inch wheels on his bicycle (their diameter is 20 inches).

Then, the radius of the tire = \dfrac{20}{2}=10\ in.

Now, the length of rubber we got from each tire is given by Circumference.

Circumference of a circle is given by :-

C=2\pi r=2(3.14)(10)=62.8\text{ in.}

i.e. the length of rubber we got from each tire is 62.8 inches.

Now , the length of rubber Jim would get from his two bicycle tires :-

2\times64.8=125.6\approx120\text{ in.}

Hence, the estimated length of rubber Jim would get from his two bicycle tires. = 120 in.

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To avoid detection at customs, a traveler has placed 6 narcotic tablets in an Urn containing 9 vitamin pills that are similar in
Alexus [3.1K]

Answer:

\frac{4}{91}

Step-by-step explanation:  

We are told that to avoid detection at customs, a traveler has placed 6 narcotic tablets in an Urn containing 9 vitamin pills that are similar in appearance.

To find the probability that the traveler will be arrested for illegal possession of narcotics we will use theoretical probability formula.

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Number of possible outcomes}}

Favorable outcomes will be _{3}^{6}\textrm{C}.

\text{Favorable outcomes}=_{3}^{6}\textrm{C}=\frac{6!}{(6-3)!3!}

\text{Favorable outcomes}=\frac{6!}{3!3!}

\text{Favorable outcomes}=\frac{6\cdot 5\cdot 4\cdot3!}{3\cdot 2\cdot 1\cdot3!}

\text{Favorable outcomes}=\frac{6\cdot 5\cdot 4}{3\cdot 2}

\text{Favorable outcomes}=5\cdot 4=20

Now let us find number of possible outcomes.

\text{Number of possible outcomes}=_{3}^{15}\textrm{C}=\frac{15!}{(15-3)!3!}

\text{Number of possible outcomes}=\frac{15!}{12!3!}

\text{Number of possible outcomes}=\frac{15\cdot 14\cdot 13\cdot 12!}{12!\cdot 3\cdot 2\cdot 1}

\text{Number of possible outcomes}=\frac{15\cdot 14\cdot 13}{ 3\cdot 2\cdot 1}

\text{Number of possible outcomes}=5\cdot 7\cdot 13=455

Upon substituting our values in probability formula we will get,

\text{Probability that the traveler will be arrested for illegal possession of narcotics}=\frac{20}{455}

Upon dividing numerator and denominator by 5 we will get,

\text{Probability that the traveler will be arrested for illegal possession of narcotics}=\frac{4}{91}

Therefore, the probability that the traveler will be arrested for illegal possession of narcotics is \frac{4}{91}.  


6 0
3 years ago
What is 14c12?<br> A. 78<br> B. 91<br> C. 105<br> D. 120
Delicious77 [7]

9514 1404 393

Answer:

  B.  91

Step-by-step explanation:

14C12 = 14!/(12!(14-12)!) = 14·13/(2·1) = 7·13 = 91

5 0
2 years ago
Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If
natima [27]

Answer:

  d)  one solution; (4, 1)

Step-by-step explanation:

It often works well to follow problem directions. A graph is attached, showing the one solution to be (4, 1).

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You know there will be one solution because the lines have different slopes. Each is in the form ...

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The first line has slope -1 and y-intercept +5; the second line has slope 1 and y-intercept -3. The slope is the number of units of "rise" for each unit of "run", so it can be convenient to graph these by starting at the y-intercept and plotting points with those rise and run from the point you know.

6 0
3 years ago
250,000 grams is ________ kilograms. A) 0.25 B) 25 C) 250 D) 2500
alexira [117]
C) 250 is the right answer
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-(10)^-2 simplify the expression
STatiana [176]

your answer is -1/100 (a fraction)

8 0
3 years ago
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