jim is selling greeting cards at a booth at a folk fair. he will be paid $12 plus $2 for each box that he sells how many boxes m
2 answers:
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Answer:
(a) The probability that the sample average sediment density is at most 3.00 is 0.092.
The probability that the sample average sediment density is between 2.70 and 3.00 is 0.477.
(b) The sample size must be at least 77.
Step-by-step explanation:
The random variable <em>X</em> ca be defined as the sediment density (g/cm) of a specimen from a certain region.
The random variable <em>X</em> is normally distributed with mean, <em>μ</em> = 2.7 and standard deviation, <em>σ</em> = 0.75.
(a)
A random sample of <em>n</em> = 25 specimens is selected.
Compute the probability that the sample average sediment density is at most 3.00 as follows:
Apply continuity correction:
Thus, the probability that the sample average sediment density is at most 3.00 is 0.092.
Compute the probability that the sample average sediment density is between 2.70 and 3.00 as follows:
*Use a <em>z</em>-table.
Thus, the probability that the sample average sediment density is between 2.70 and 3.00 is 0.477.
(b)
It is provided that:
The value of <em>z</em> for the probability above is
<em>z</em> ≥ 2.33
Compute the value of <em>n</em> as follows:
Thus, the sample size must be at least 77.
Answer:
16 feet
Step-by-step explanation:
The length of the ladder=20 feet
Distance from the base of the ladder to the house = 12 feet
You will notice that a wall is vertical and the ladder makes an angle with the horizontal ground(making it the hypotenuse). This is a right triangle problem.
To find the how far up the house can the ladder can reach, we simply find the third side of the right triangle.
From Pythagoras theorem
The third side of the right triangle is 16. Therefore the ladder leans 16 feet from the ground.