G Q3 [20 points] Suppose that your average heart rate is 72. The average heart rate in your class is 82 and the variance is 25. a[10 points] What percent of the class has a lower heart rate

2.28% of the class has a lower heart rate

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean and standard deviation(which is the square root of the variance) , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

What percent of the class has a lower heart rate

Lower than 72, which is the pvalue of Z when X = 72.

has a pvalue of 0.0228

2.28% of the class has a lower heart rate

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb