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vampirchik [111]
3 years ago
15

The line plots show the number of hours two different age groups of teenagers spent online the previous week.

Mathematics
1 answer:
nikklg [1K]3 years ago
4 0
The range of the top plot, hours spent by 13-15 year olds, is found by subtracting the highest value, 34, and the lowest value, 21.  34-21=13.
The mean of the top plot is found by adding together all of the data points and dividing by 10 (the number of data points):
\frac{21+24+26+27+27+28+28+28+31+34}{10}=\frac{274}{10}=27.4

The range of the bottom plot, minutes spent online by 16-18 year olds, is found by subtracting the highest value, 36, and the lowest value, 12.  36-12=24.
The mean of the bottom plot is found by adding together all of the data points and dividing by 11 (the number of data points):
\frac{12+21+27+28+28+28+28+30.5+34+35+36}{11}=\frac{307.5}{11} \approx27.95
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The measured weights of 1,000 men in a certain village follow a normal distribution with a mean of 150 pounds and a standard dev
earnstyle [38]
Z = (X-Mean)/SD 
<span>z1 = (165 - 150)/15 = +1 </span>
<span>z2 = (135 - 150)/15 = - 1 </span>
<span>According to the Empirical Rule 68-95-99.7 </span>
<span>Mean +/- 1SD covers 68% of the values </span>
<span>100% - 68% = 32% </span>
<span>The remaining 32% is equally distributed below z = - 1 and z = +1 </span>
<span>32%/2 = 16% 
</span>
<span>Therefore, 
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<span>a) Number of men weighing more than 165 pounds = 16% of 1000 = 160 </span>
<span>b) Number of men weighing less than 135 pounds = 16% of 1000 = 160</span>
4 0
2 years ago
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Zolol [24]

Answer:

The simplified expression is:

\frac{3^9y}{2\times \:81}=\frac{243y}{2}

Step-by-step explanation:

Given the expression

\frac{3^9\times \:y}{2\times 81}

solving the expression

\frac{3^9\times \:y}{2\times 81}=\frac{3^9y}{162}

        =\frac{3^9y}{3^4\times \:2}                ∵    162=3^4\times \:2      

        =\frac{3^5y}{2}                   ∵   \mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}

       =\frac{243y}{2}                  ∵    3^5=243

Therefore, the simplified expression is:

\frac{3^9y}{2\times \:81}=\frac{243y}{2}

6 0
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likoan [24]

8/9 divided by 12 is 2/27

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7 0
3 years ago
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boyakko [2]

Answer:

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Step-by-step explanation:

1) 1 + 10 × 3 + x

2) 1 + 30 + x

3) 31 + x

4 0
2 years ago
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