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Galina-37 [17]
3 years ago
11

In the formula rt = d, r is is rate t is time , and d is distance what is the rate for a runner who complete 7.5 miles in 1.5 ho

urs?
Mathematics
2 answers:
Andreyy893 years ago
8 0

Answer:

r =5 miles per hour

Step-by-step explanation:

rt = d

We want to solve for r

Divide each side by t

rt/t = d/t

r = d/t

We know the distance is 7.5 miles and the time is 1.5 hours

r = 7.5 miles / 1/5 hours

r =5 miles per hour

Alexandra [31]3 years ago
3 0

Answer:

The rate is 5 miles per hour

Step-by-step explanation:

First thing off we need to get r alone. We can do this by dividing both sides by t. Lets do so

rt/t=d/t

Simplfy

r=d/t

Now input the known value for d and t

r=7.5/1.5

Divide

r=5

The rate is 5 miles per hour

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A six-sided die is loaded in such a way that the probability of each face turning up is proportional to the number of dots on th
agasfer [191]

Answer:

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the probability of getting either a 5 or a 2 in one throw is 1/3

Step-by-step explanation:

Given that; the probability of each face turning up is proportional to the number of dots on that face

P(1) = 1×P(1)

P(2) = 2×P(1)

P(3) = 3×P(1)

P(4) = 4×P(1)

P(5) = 5×P(1)

P(6) = 6×P(1)

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Where;

P(x) is the probability of getting number x on the dice.

P(T) is the total probability of obtaining any number

N(x) is the number of possible number x in terms of the distribution function.

P(x) = N(x)/N(T) ....1

And since P(T) is constant, and P(T) is proportional to N(T) then,

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So, equation 1 becomes;

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The probability of getting either a 5 or a 2 in one throw

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P(2U5) = (2P(1) + 5P(1))/21P(1)

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P(1) cancel out, to give;

P(2U5) = 7/21 = 1/3

the probability of getting either a 5 or a 2 in one throw is 1/3

8 0
3 years ago
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