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3 years ago

Tommy can ride his bicycle 4.5 miles in 15 minutes. How many miles can he ride in 75 minutes

Mathematics

2 answers:

il63 [147K]3 years ago

6 0

Tommy can ride 22.5 In 75 minutes

adoni [48]3 years ago

5 0

Here, we need to set up a proportion.

4.5 miles in 15 minutes.

In 75 minutes, how much miles can he ride?

4.5/15 = x/75

Cross multiply

4.5 * 75 = 337.5
15*x = 15x

15x = 337.5

15x/15 = 337.5/15
x= 22.5

Final answer:- Tommy can ride 22.5 miles in 75 minutes.

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An auto insurance company has 10,000 policyholders. Each policy is defined as: young or old male or female; and married or singl

Blababa [14]

Answer:

880

Step-by-step explanation:

This problem a bit annoying, but let's classify the numbers and see where we can get from there:

Total = 10,000

Young = 3,000

Old = 7,000 (not young defined as 10,000 - 3,000)

Male = 4,600

Female = 5,400

Married = 7,000

Single = 3,000

Young Males = 1,320

Young Females = 3,000 (young) - 1,320 = 1,680

Married Males = 3,010

Married Females = 7,000 - 3,010 = 2,990

Young Married = 1,400

Young Married Males = 600

Young Married Females = 1,400 - 600 = 800

Young Female Single = ?

Young Female = 1,680 from above. But not all of them are single.

Young Married Females = 800 from above

Young Female Single = Young Female - Young Married Females = 1,680 - 800 = 880

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3 years ago

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A !!!!!!!!!!!!!!!!!!!

7 0

3 years ago

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Ken Has Two Red Shirts, Two Blue Shirts, A Pair Of White Pants And A Pair Of Blue Pants. The Probability That He Will Wear A Red

insens350 [35]

There is a 2 in 4 chance for a red shirt

there is a 1 in 2 chance for blue pants

There is (I think) a 1 in 6 chance for the chosen pain to be worn.

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3 years ago

Find the unit rate 6 and 2/5 revolutions in 2 and 2/3 in seconds

Makovka662 [10]

Step 1

Convert mixed fractions into fractions

6 2/5 = (6*5)+2) / 5 = 32/5

2 2/3 = (2*3)+2) / 3 = 8/3

Step 2

32/5 ÷ 8 / 3 ; where 32/5 is the 1st fraction and 8/3 is the 2nd fraction

Step 2 (A)

Get the reciprocal of the 2nd fraction:

From 8/3 to 3/8

Step 2 (B)

Multiply 1st fraction to the reciprocal of the 2nd fraction

32/5 * 3/8 = (32*3) / (5*8) = 96/40

Step 2 (C)

Simplify the fraction

96/40 divide by 4 will become 24/10

24/10 divide 2 will become 12/5. The simplest fraction of 96/40

The unit rate is 12/5 = 2 2/5 revolutions per second

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3 years ago

In 2006,the General Social Survey (which is conducted uses a method similar to simple random sampling) included a question that

mars1129 [50]

Answer:

Assumptions are not met. Can not make confidence interval.

Step-by-step explanation:

In the General Social Survey, sample size is 1514.

The proportion of those who see themselves social is $\frac{470}{1514}$ ≈ 0.31

To give an 95% confidence interval, we should be able to calculate margin of error of the sample mean, which is given by the formula

M± $z*\frac{s}{\sqrt{N} }$ where M is the mean of the sample (in the General Social Survey it is 0.31), z is z-score for the 95% confidence level(approx. 1.94), s is the standard deviation of the sample, N is the size of the sample(in this example it is 1514).

Since we don't know the standard deviation of the sample, we cannot give a confidence interval.

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3 years ago