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Vesna [10]
3 years ago
10

A cyclist travels 6 miles in 15 minutes. What is her average speed in mph?

Mathematics
1 answer:
Rasek [7]3 years ago
3 0

Answer:

24 miles per hour

Step-by-step explanation:

A cyclist travels 6 miles in 15 minutes. What is her average speed in mph?

Step one:

given data

distance= 6 miles

time= 15 minutes

convert minutes to hours

15 minutes is 0.25hours

Step two:

speed= distance/time

speed= 6/0.25

speed= 24 miles per hour

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Step-by-step explanation:

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15=-6 you solve the left side, 7+6 which is 15
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Answer:

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Step-by-step explanation:

15=-6 you solve the left side, 7+6 which is 15?

15=-6 =

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3 years ago
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Meg initially has 3 hours of pop music and 2 hours of classical music in her collection. Every month onwards, the hours of pop m
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Answer:  Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Number of hours of pop music = 3

Number of hours of classical music = 2

According to question, Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change.

Rate of increment = 5% = 0.05

Let the number of months be 'x'.

So, our required function becomes,

f(x)=3(1+0.05)x+2\\\\f(x)=3(1.05)x+2

Hence, Option 'd' is correct.

3 0
3 years ago
A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a
laila [671]

Complete Question

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 90% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Round your answer up to the nearest integer.

sample size = _____

Answer:

The sample size is n = 271    

Step-by-step explanation:

From the question we are told that  

   The margin of error is  E = 5% = 0.05

Generally given that there was no prior knowledge about the proportion of who might support the law, we will assume the sample proportion to be  

     \^ p =  0.5

From the question we are told the confidence level is  90% , hence the level of significance is    

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=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>   n = [\frac{1.645 }{0.05} ]^2 * 0.5 (1 - 0.5 )

=>   n = 271    

5 0
3 years ago
What is the solution of 3/x+8 =-4?<br> Ox= -72<br> O x= -66<br> O x = 58<br> O no solution
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Answer:

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