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meriva
3 years ago
8

A race car travels at a speed of 230 miles per hour. The race track on which the car is competing is 400 miles long. About how l

ong does it take for the car to finish, disregarding pit stops and yellow flags?
A) 174 minutes
B) 345 minutes
C) 1 hour 45 minutes
D) 2 hours 14 minutes
Mathematics
2 answers:
olga nikolaevna [1]3 years ago
7 0
To solve for this we will be using the formula S = D/T

S = Speed
D = Distance 
T = Time

First we need to re-arrange this formula to solve for time

T= D/S

T = 400/230

T=1.74 hours

.74 hours is close enough to .75 that we can say it is 45 minutes

So it is 1 hour and 45 minutes
gavmur [86]3 years ago
7 0

Answer:

Option(c)

Step-by-step explanation:

The race track on which the car is competing miles= 400 miles

A car travels with speed= 230 miles per hour

We have to find time taken for the car to finish

As we know,

Time taken to cover certain distance=\frac{Distance}{Time}

Time taken to cover certain distance=\frac{400}{230}

Time taken to cover certain distance=\frac{40}{23}

Time taken to cover certain distance=1 hour 45 minutes

Hence, the correct answer is option(c)

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You are going up 3 floors (+3)

You are going down 1 floor ( -1)

You are going up 5 floors (+5)

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A map is drawn to scale so that a length of 1 centimeter on the map represents an actual distance of 3
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Answer:

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Step-by-step explanation:

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A student wanted to construct a 95% confidence interval for the mean age of students in her statistics class. She randomly selec
VMariaS [17]

Answer:

19.1-3.355\frac{1.5}{\sqrt{9}}=17.42    

19.1+3.355\frac{1.5}{\sqrt{9}}=20.78    

And the best option would be:

C. [17.42,20.78]

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=19.1 represent the sample mean

\mu population mean (variable of interest)

s=1.5 represent the sample standard deviation

n=9 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=9-1=8

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,8)".And we see that t_{\alpha/2}=

Now we have everything in order to replace into formula (1):

19.1-3.355\frac{1.5}{\sqrt{9}}=17.42    

19.1+3.355\frac{1.5}{\sqrt{9}}=20.78    

And the best option would be:

C. [17.42,20.78]

5 0
3 years ago
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