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muminat
3 years ago
9

On Monday, Daniel and Emily decided to see how fast they could sprint 400 meters. They asked their friend Ben to time them with

a stopwatch.
After 4.53 seconds, Ben agreed to time the runners. Daniel sprinted first and ran 400 meters in 64.18 seconds. When it was Emily's turn, she sped off and completed the run in 61.06 seconds.
How much faster was Emily than Daniel in seconds?
Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0
64.18 - 61.06 = 3.12
Emily was 3.12 seconds faster than Daniel.
You might be interested in
Find the midpoint of the line segment joining the points (-2,-2) and (-4,9).
11Alexandr11 [23.1K]

Answer:

The answer is

<h2>( - 3 \: , \:  \frac{7}{2} )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-2,-2) and (-4,9).

The midpoint is

M = ( \frac{ - 2 - 4}{2}  \:  , \:  \frac{ - 2 + 9}{2} ) \\  = ( -  \frac{6}{2}  \: , \:  \frac{7}{2} )

We have the final answer as

( - 3 \: , \:  \frac{7}{2} )

Hope this helps you

4 0
2 years ago
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
Describe and correct the error in finding the area of a sector with a radius of 6 centimeters and a central angle of 40
Jet001 [13]

Answer:

12.56

Step-by-step explanation:

Remark

Since we don't have anything other than the question, all I can do is answer the question. You are left with the task of figuring out the error.

Formula

Area = (central angle divided by 360 ) * pi r^2

Solution

Area = (40 /360) * 3.14 * 6^2

Area = 1/9 * 3.14 * 36

Area = 4 * 3.14

Area = 12.56

8 0
2 years ago
In the survey 12 students said that they would like to learn French Spanish was 36% French 24% German 18% other 22% how many stu
Rufina [12.5K]
200 hundred students were surveyed DUH!
4 0
2 years ago
The figure shows a rectangle ABCD.
finlep [7]

Answer:

Answer:

The answer is 39°

Step-by-step explanation:

BAD = 90°

ADE = 51°

AED = 180° - BAD + ADE = 180° - 90° + 51°

= 39°

39° is the Final answer

#AnswerforTrees

3 0
3 years ago
Read 2 more answers
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