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vovikov84 [41]
3 years ago
6

The formula for average speed when traveling a distance of ddd over a time ttt is \dfrac dt t d ​ start fraction, d, divided by,

t, end fraction. Jeff and Cameron are arguing about which one of them is faster. Jeff says "I can run 777 kilometers per hour!" and Cameron says "I can run 100100100 meters per minute!" Which one is faster? Choose 1 answer: Choose 1 answer: (Choice A) A Jeff is faster than Cameron. (Choice B) B Cameron is faster than Jeff. (Choice C) C Jeff and Cameron are equally fast.
Mathematics
1 answer:
Anna11 [10]3 years ago
4 0

Answer:

A Jeff is faster than Cameron.

Step-by-step explanation:

Given

Jeff = 7km/hr

Cameron = 100m/min

Required

Which is faster

To do this, we simply convert both to the same unit.

We have:

Jeff = 7km/hr

Convert to m/min

1km \to 1000m; 1hr \to 60min

So:

Jeff = \frac{7 * 1000m}{1 * 60min}

Jeff = \frac{7000m}{60min}

Jeff = 117\ m/min

Recall that: Cameron = 100m/min

By comparison:

117m/min > 100m/min

<em>Hence, Jeff is faster.</em>

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For one toss of a certain coin, the probability that the outcome is heads is 0.6. If this coin is tossed 5 times, which of the f
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Answer:

The probability is 0.33696

Step-by-step explanation:

The probability that the outcome will be heads x times is calculated using the following equation:

P(x) = nCx*p^{x} *(1-p)^{n-x}

nCx is calculated as:

nCx=\frac{n!}{x!(n-x)!}

This apply for variables that follows a binomial distribution. In which we have n independent and identical events with two possibles results: success and fail with a probability p and 1-p respectively.

So, In this case, n is equal to 5, and p is equal to 0.6 because we are going to call success the event in which the outcome of the coin is head.

Then, the probability that the outcome will be heads at least 4 times is calculated as:

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And P(5) is:

P(5) = 5C5*0.6^{5} *(1-0.6)^{5-5}

P(4)=0.07776

Finally, the probability is:

P = 0.2592 + 0.07776

P = 0.33696

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