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Nutka1998 [239]
3 years ago
14

Saby used a probability simulator to roll a 6-sided number cube and flip a coin 100 times. The results are shown in the tables b

elow: Number on the Cube Number of Times Rolled 1 18 2 25 3 12 4 32 5 3 6 10 Heads Tails 56 44 Using Saby's simulation, what is the probability of rolling a 4 on the number cube and the coin landing heads up?
Mathematics
1 answer:
Degger [83]3 years ago
8 0
Short Answers
P(Both) = 0.1792
Givens
The total number of roles = 100
Total number of heads = 56
Number of times rolled a four =  32 [check this for me].

Set up the probabilities.
P(H) = 56/100
P(4) = 32/100
P(H)*P(4) = P(Both)

Substitute and solve
P(Both) = 56/100 * 32/100 = 1792/10000
P(Both) = 112/625 because there are many cancellations. Or you could just express it as 0.1972

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A commercial jet can fly 868 miles in 2 hours with a tailwind but only 792 miles in 2 hours into a headwind. Find the speed of t
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Answer:

The speed of the jet in still air is 415 mph and the speed of the wind is 19 mph

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

x -----> the speed of the wind in miles per hour

y ----> the speed of the jet in still air in miles per hour

we know that

<em>With a tailwind</em>

y+x=\frac{868}{2}

y+x=434 ----> equation A

<em>With a headwind</em>

y-x=\frac{792}{2}

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solve the system of equations A and B by elimination

Adds equation A and equation B

y+x=434\\y-x=396\\------\\y+y=434+396\\2y=830\\y=415

<em>Find the value of x</em>

y+x=434

415+x=434

x=434-415

x=19

therefore

The speed of the jet in still air is 415 mph and the speed of the wind is 19 mph

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Step-by-step explanation:

so first you know you will have to divide it by both numbers you have and whatever number u have thats your answer

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