All categories

3 years ago

This year the winner of the New York Marathon ran the 8-kilometer event in 24 minutes. What is the runner’s unit rate?

Mathematics

2 answers:

tatuchka [14]3 years ago

7 0

Answer:

0.33 repeating kilometers per minute. 1km/3min

Keith_Richards [23]3 years ago

4 0

8km - 24 minutes, to find the unit rate (how long it took to run 1km)

We would make a ratio,

8:24

Now just simplify,

8:24

1:3

Therefore the unit rate would be 1 kilometer covered for every 3 minutes.

You might be interested in

Complete he statement below. Then use a number line to find the sum 5 + ( -4 )

skad [1K]

Answer:

The statement is 6 in the negative direction

5 + (-4) = 1

Step-by-step explanation:

7 0

3 years ago

A dance class consists of 22 students, of which 10 are women and 12 are men. if 5 men and 5 women are to be chosen and then pair

Bad White [126]

2 pairs are possible with this

6 0

1 year ago

3.2 cm on the map correspond to 4 km in the actual distance?

geniusboy [140]

Answer:

Step-by-step explanation:

Here, 3.2 centimeters on the map is equivalent to 4 kilometers. We can use unitary method to find, how many kilometer/kilometers each centimeter corresponds to. Using the unitary method: Therefore, the scale of map represents 1.25 kilometers for each centimeter.

6 0

3 years ago

Air-USA has a policy of booking as many as 24 persons on an airplane that can seat only 22. (Past studies have revealed that onl

Alex17521 [72]

Answer:

B. no, it is not low enough

A. no, it is not low enough

Step-by-step explanation:

Given that Air-USA has a policy of booking as many as 24 persons on an airplane that can seat only 22.

Prob for a random person booked arrive for flight = 0.86

No of persons who books and arrive for flight, X is binomial, since there are two outcomes and each person is independent of the other

The probability that if Air-USA books 24 persons, not enough seats will be available

= P(X=23)+P(x=24)

= 0.1315

B. no, it is not low enough

-------------------------------

The prob we got is >10% also

A. no, it is not low enough

7 0

3 years ago

55. The sum of an infinite geometric series is five times the value of the first term. What is the common ratio of the series?

myrzilka [38]

Answer:

r = 4/5

Step-by-step explanation:

Formula

Sum of an infinite geometric series = a / (1 - r)

Givens

Sum = 5*a

a = a

r = ?

Solution

5a = a/(1 - r) Divide both sides by a

5a/a = a / (a * (1 - r) The a's on the right cancel

5 = 1 / (1 - r) Multiply both sides by 1 - r

5*(1 - r) = 1*(1 - r)/(1 - r) The 1 - r s on the right cancel

5*(1 - r) = 1 Remove the brackets.

5 - 5r = 1 Subtract 5 from both sides

5-5 - 5r = 1 - 5 Combine

-5r = - 4 Divide by - 5

r = 4/5

8 0

1 year ago