34.06 is the the correct way of saying it.
Using the slope concept, it is found that the distance from point A to point B is of 465 feet.
<h3>What is a slope?</h3>
The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
To find the horizontal position at point A, we have that:
tan(10º) = 107/dA
dA = 107/tan(10º)
dA = 607.
For the horizontal position at point B, we have that:
tan(37º) = 107/dB
dB = 107/tan(37º)
dB = 142.
Hence the distance is given by:
D = dA - dB = 607 - 142 = 465.
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Answer:
The answer is explained below
Step-by-step explanation:
Given that:
mean (μ) = 7 and standard deviation (σ) = 1.5.
The z score is used in statistic used to measure the number of standard deviation by which the raw score is above or below the mean value. It is given by:
To find the Probability that x < 8.8, we first find the z score using:
From the z tables, P(x < 8.8) = P(z < 1.2) = 0.8849 = 88.49%
9514 1404 393
Answer:
77 purple counters
Step-by-step explanation:
There are a total of 5+7=12 ratio units, so each stands for 132/12 = 11 counters. The 7 ratio units representing the purple counters stand for ...
11 × 7 = 77 purple counters
The probability that a random alcoholic can kick the habit without professional help is 0.273 .
<h3>What is Probability ?</h3>
Probability is the study of likeliness of an event to happen.
It has a range of 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.
It is given that
The alcoholics that need professional help to stop drinking is 72.7 %
Therefore the probability of this is 72.7 /100 = 0.727
The probability that they will not need professional help is given by
q = 1 - p
q = 1 -0.727
q = 0.273
Therefore the probability that a random alcoholic can kick the habit without professional help is 0.273 .
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