We know: the sum of the angles measures in a triangle is 180°.
Therefore we have the equation:
64° + 75° + α = 180°
139° + α = 180° <em> subtract 139° from both sides</em>
α = 41°
α and ∠2 are Supplementary Angles - they add up to 180°.
α + m∠2 = 180°
41° + m∠2 = 180° <em>subtract 41° from both sides</em>
<h3>m∠2 = 139°</h3>
Answer:
a) The difference is of 35 beats per minute.
b) So 3.07 standard deviations below the mean.
c) Z = -3.07.
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
In this question:
Mean , standard deviation
a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the? females?
39 - 74 = -35
The difference is of 35 beats per minute.
b. How many standard deviations is that? [the difference found in part? (a)?
|Z| when X = 39. So
|Z| = 3.07
So 3.07 standard deviations below the mean.
c. Convert the pulse rate of 39 beats per minutes to a z score.
From item b. above, Z = -3.07.