12 is not a perfect square, but 4, a factor of 12, is a perfect square. Thus, separate the problem
sqrt(12) into factors as follows:
sqrt(12) = sqrt(4)*sqrt(2) = 2*sqrt(2) (answer)
Answer:
95%
Step-by-step explanation:
The Empirical rule, also the 68–95–99.7 rule, states that for a population that is approximately normal or symmetrical, nearly all of the data values will lie within three standard deviations of the mean;
68% of data values will fall within one standard deviation from the mean
95% of data values will fall within two standard deviation from the mean
99.7% of data values will fall within three standard deviation from the mean
From the graph given, we note that the weights 60 and 80 pounds fall within two standard deviations from the mean;
70 ± (2*5) = 70 ± 10 = (60, 80)
70 is the mean, 5 the standard deviation and 2 the number of standard deviations from the mean. From the Empirical rule we can conclude that the probability that a boxer weighs between 60 and 80 pounds is 95%
B. Is the correct answer. For part B, he can buy 15 balloons since X=15. Plug this back into the equation to check: 2(15)+20=50.
2(15)=30+20=50.
Seeing as there are 1582 sets of 100 people (158200 ÷ 100) multiplying 42 by 1582 should get you the answer. 1582 × 42 = 66444. 66444 people voted in that city.
