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4 years ago

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Mathematics

1 answer:

S_A_V [24]4 years ago

5 0

The record for the Boston Marathon's wheelchair division is 1 hour, 18 minutes, and 27 seconds.

a) The Boston Marathon is 26.2 miles long. What was the average speed of the record winner of the wheelchair division?

b) At this rate, about how long would take it take this competitor to complete a 30-mile race?

First we have to convert the record time to hours.

18 minutes = 18minutes÷60minutes/h = 0.3 hours

27 seconds = 27÷3600seconds/h = 0.0075 hours

Total record time = 1 hour + 0.3 hour + 0.0075 hour = 1.3075 hours

Average speed = 26.2 miles/1.3075 hour = 20.03824 ml/h

Answer a) Average speed rounded to the nearest hundredth ≈ 20.04 ml/h

Time = distance/speed = 30 ml/20.04 ml/h = 1.497 hours

0.497 hours *60minutes/hour = 29.82 minutes

0.82 minutes *60seconds/minute = 49.2 seconds

Answer b) 1 hour, 29 minutes, and 49 seconds

Hope this helps!

$\textit{\textbf{Spymore}}$

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ddd [48]

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Let's solve ~

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2 years ago

The probability of tossing heads with a standard coin is 1/2, because it is one of two possible outcomes. The probability of tos

spayn [35]

Answer:

a) 1/64

b) 1/4096

Step-by-step explanation:

As you can tell from the example, the exponent of 1/2 is the number of heads in a row.

a) p(6 heads in a row) = (1/2)^6 = 1/(2^6) = 1/64

b) p(12 heads in a row) = (1/2)^12 = 1/(2^12) = 1/4096

_____

<em>Additional comment</em>

The probability of a head is 1/2 because we generally are concerned with a "fair coin." That is defined as a coin in which each of the 2 possible outcomes has the same probability, 1/2. Similarly, a "fair number cube" has 6 faces, and the probability of each is defined to be the same as any other, 1/6. Loaded dice and unfair coins do sometimes show up in probability problems.

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2 years ago

How do you concert 500% into a fraction and a decimal

ruslelena [56]

500%= .500, 500/100

6 0

3 years ago

Read 2 more answers

A train traveling 50 mph left a station 30 minutes before a second train running at 55 mph. how soon did the second train overta

Finger [1]

<span>1st train DATA:
rate = 50 mph ; time = x hrs ; distance = rt = 50x miles

2nd train DATA:
rate = 55 mph ; time = (x-(1/2)) hrs ; distance = rt = 55(x-(1/2)) miles

Equation:
distance = distance
50x = 55(x-(1/2)
50x = 55x - (55/2)
-5x = -55/2
x = 11/2
x = 5 1/2 hrs (time at which the 2nd train overtakes the 1st train)
Hope this helps!</span>

8 0

3 years ago

Read 2 more answers

A car travels at a constant speed of 60 miles per hour. The distance, d, the car travels in miles is a function of time, t, in h

scZoUnD [109]

The equation of distance traveled by the car is d(t) = 60 · t, for t ≥ 0.

<h3>What is the equation of the distance travelled by a car?</h3>

In accordance with the statement, car travels in a <em>straight</em> line at <em>constant</em> speed. The distance traveled (d), in miles, is equal to the product of the speed (v), in miles per hour, and time (t), in hours:

d(t) = v · t (1)

If we know that v = 60 mi/h, then the equation of distance traveled by the car is d(t) = 60 · t, for t ≥ 0.

<h3>Remark</h3>

The statement is incomplete and complete form cannot be found. Then, we decided to complete the statement by asking for the equation that describes the distance of the car.

To learn more on linear equations: brainly.com/question/11897796

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2 years ago