Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven. Part A Let m = the
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Answer:
D E + E F greater-than D F
5 less-than D F less-than 13
Triangle D E F is a scalene triangle
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
we have the triangle EDF
where
<u><em>Applying the triangle inequality theorem</em></u>
1)
2)
so
The length of DF is the interval -----> (5,13)
The triangle DEF is a scalene triangle (the three length sides are different)
therefore
<em>The statements that are true are</em>
D E + E F greater-than D F
5 less-than D F less-than 13
Triangle D E F is a scalene triangle
Answer:
Approximately 16% of adult women have feet longer than 27.2 cm.
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.
The feet of the average adult woman are 24.6 cm long
This means that
16% of adult women have feet that are shorter than 22 cm
This means that when , Z has a p-value of 0.16, so when
. We use this to find
Approximately what percent of adult women have feet longer than 27.2 cm?
The proportion is 1 subtracted by the p-value of Z when X = 27.2. So
has a p-value of 0.84.
1 - 0.84 = 0.16
0.16*100% = 16%.
Approximately 16% of adult women have feet longer than 27.2 cm.