What can be used to explain a statement in a geometric proof
1 answer:
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Answer:
a) D(t) =
b) 178.885 miles
Step-by-step explanation:
Ship A travels north at the rate of 20 mph.
Ship B travels east at the rate of 40 mph.
After t hours, Ship A is at a distance of 20t miles from the origin.
Similarly, Ship B is at a distance of 40t miles from the origin.
(a) Distance D(t) =
=
=
=
(b) Distance between the two ships when t = 4,
=
= miles
= 80 * 2.236
= 178.885 miles
Using the normal distribution, the probability that x is less than 110 is:
A. 0.975.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given as follows:
The probability is the <u>p-value of Z when X = 110</u>, hence:
Z = 2
Z = 2 has a p-value of 0.975.
Hence option A is correct.
More can be learned about the normal distribution at brainly.com/question/15181104
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