Hiram Callaway deposits $2,350 in an account that earns interest at 3.2% APR compounded monthly. What is his ending balance afte
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<h2>Solving for the measurements of Complementary Angles</h2><h3>Answer:</h3>
and
Recall that Angles that are supplementary to each other add up to .
Let be the measure of the supplementary angle.
If an angle is more than its supplementary angle, the measure of that angle is
. The sum of both angles are expressed
but since the have to add to
as they are supplementary,
.
Solving for :
Since the other angle measures , we can plug in the value of
to find the measure of the angle.
Evaluating :
The measure of the angles are and
Answer:
0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
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.
Normal distribution with a mean of 7.2 minutes and a standard deviation of 2.1 minutes.
This means that
Probability that the response time is between 3 and 9 minutes.
This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 3. So
X = 9
has a pvalue of 0.8051
X = 3
has a pvalue of 0.0228
0.8051 - 0.0228 = 0.7823
0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.