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pishuonlain [190]
3 years ago
10

In a race, a triathlete runs 1/3 of the total distance, cycles 2/5 of the total distance, and swims the remaining distance. He s

wims 1,200 meters. What is the total distance of the race?
Mathematics
2 answers:
liraira [26]3 years ago
5 0
4500 meters. You find this by adding 1/3 and 2/5 which equals 11/15. This means that the remaining 4/15 is 1200 meters long. Divide 1200 by 4 in order to find the distance per 1/15 and you get 300. Multiply 300 with 15 to get the total distance of the race.
Luda [366]3 years ago
5 0
That's right ! Good job
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salantis [7]

Answer:

a) S = {1, 2, 3}

b) P(odd number) = \frac{2}{3}

c) No

d) Yes

Step-by-step explanation:

a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}

However, the sample is not equiprobable because each element has different probabilities.

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Note that the odd numbers are 1 (on three faces) and 3 (on one face).

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d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:

Let's assume the probability for 1 or 2 is x. Then that of 3 is 2x(because it is twice the others). The sum of probabilities must be 1.

x+x+x+x+x+2x=1

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x=\frac{1}{7}

P(odd number) = 3\timesProb(1) + Prob(3)

= 3\times\frac{1}{7}+\frac{2}{7} = \frac{5}{7}

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3 years ago
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7 0
2 years ago
F(x)=-5x+1x=−5x+1, find f(6)
vaieri [72.5K]

Answer:

f(x)=-5x+1x=−5x+1, find f(6)

f(6)= -5(6)+1(6)=-5(6)+1

F(6)=-24,-29

3 0
2 years ago
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