Gabriel interviewed his 30 classmates on whether or not they own a bike and live near a pool. he displayed his results in the two-way table shown. which statement is true?
a) over half of the bike owners live near a pool.
b) less than 55% of his classmates live near a pool.
c) about 50% of his classmates don't live near a pool.
d) 2/3 of his classmates that live near a pool don't own a bike.

The true statement is:

A) Over half of the bike owners live near a pool.

Step-by-step explanation:

See the attached table

According to the data of the table, we will check which statement is true.

A) Over half of the bike owners live near a pool.

The number of the bike owners = 8 + 7 = 15

The bike owners live near a pool = 8

The percentage of the bike owners live near a pool to all the bike owners= 8/15 = 0.533 > 0.5

The statement is true.

B) Less than 55% of his classmates live near a pool.

The number of classmates = 30

The number of classmates live near a pool = 8 + 10 = 18

The number of classmates live near a pool to all

classmates = 18/30 = 0.6 = 60% > 55%

The statement is wrong.

C) About 50% of his classmates don't live near a pool.

Don't live near a pool = live near a pool

So, the same explanation of statement B

The statement is wrong.

D) 2/3 of his classmates that live near a pool don't own a bike.

The number of classmates live near a pool = 8 + 10 = 18

The number of classmates live near a pool and don't own a bike = 10

The percentage of classmates live near a pool and don't own a bike to classmates live near a pool = 10/18 = 0.556 < 2/3

The statement is wrong.

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step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.