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agasfer [191]
3 years ago
10

Some seventh-grade students at Michaelson Middle School were surveyed to find the amount of time they spent doing homework over

the past two nights. What is the mean amount of time spent on homework per student?
Amount of Time Spent Number of
on Homework(Hours) Students
2 4
3 5
4 6
5 3
6 3
7 0
8 1
Mathematics
1 answer:
stellarik [79]3 years ago
5 0
The word mean is a synonym for average. To find the average, you add all of the data, then divide by the amount of data received.

So, we add 2+4+3+5+4+6+5+3+6+3+7+0+8+1. That totals to 57. Then, we divide by 14 because there are 14 answers. The end result is 4.07, because we round up.
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3 years ago
How do you simplify this expression
raketka [301]
Convert <span>6\frac{3}{8}<span>6<span><span>​8</span>​<span>​3</span><span>​​</span></span></span></span><span> to improper fraction. Use this rule: </span><span>a \frac{b}{c}=\frac{ac+b}{c}<span>a<span><span>​c</span>​<span>​b</span><span>​​</span></span>=<span><span>​c</span>​<span>​<span>ac+b</span></span>​​:</span></span></span>
​∣8<span><span>​<span>​<span>6×8+3</span></span><span>​​</span></span>−2∣+∣−8<span><span>​8</span>​<span>​5</span><span>​​</span></span>−1<span>∣


</span></span>Simplify <span>6\times 8<span>6×8</span></span><span> to </span>48: <span><span><span><span><span>
​</span>8</span>​<span>​<span>48+3</span></span><span>​​</span></span>−2∣+∣−8<span><span>​8</span>​<span>​5</span><span>​​</span></span>−1∣


</span>Simplify <span>48+3<span>48+3</span></span><span> to </span>51:</span><span><span><span><span><span>
​</span>8</span>​<span>​<span>51</span></span><span>​​</span></span>−2∣+∣−8<span><span>​8</span>​<span>​5</span><span>​​</span></span>−1∣

</span> Make the denominators the same:
<span><span><span>51</span><span>​​/8</span></span>−2×<span><span>​8</span>​<span>​8</span><span>​​

</span></span></span><span>Simplify. Denominators are now the same:
</span>
<span><span><span>51</span><span>​​/8</span></span>−<span><span>​8</span>​<span>​<span>16</span></span><span>​​
</span>
</span></span>Join the denominators: \frac{51-16}{8}<span><span>​8</span>​<span>​<span>51−16</span></span><span>​​
</span>
etc.. and your answer will be 14

</span></span>
3 0
3 years ago
Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best po
Brrunno [24]

Answer: (0.63, 7.07)

Step-by-step explanation:

The confidence interval for population proportion is given by :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

Given :\hat{p} =0.7 ;  n=110

Significance level : 1-0.90=0.1

Critical value :  z_{\alpha/2}=1.645

Now, a 90% confidence interval for population proportion will be :-

0.7\pm (1.645)\sqrt{\dfrac{0.7(1-0.7)}{110}}\\\\\approx0.7\pm0.07\\\\=(0.7-0.07,0.7+0.07)=(0.63,\ 7.07)

Hence, a 90% confidence interval for population proportion = (0.63, 7.07)

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The difference of a number T and 7 is greater than 10 and less than 20
natulia [17]
The answer is 20>t-7>10
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3 years ago
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