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Height of building =60 feet (where woman is trapped)
distance of bottom of ladder from base of building = 40 feet
This makes a right angled triangle as shown in figure.
here hypotenuse =length of ladder
base = distance of bottom of ladder from base of building = 40 feet
perpendicular =Height of building =60 feet (where woman is trapped)
So here we can use Pythagoras theorem to find the length of ladder.
Hypotenuse² = base² + perpendicular²
height of ladder = √(60² +(40)² = √3600 +1600 = √5200
height of ladder = 72.1 feet
Answer:
18.14% probability that you would get at least 12 questions correct.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability that you would get at least 12 questions correct?
This is 1 subtracted by the pvalue of Z when X = 12. So
has a pvalue of 0.8186.
So there is a 1-0.8186 = 0.1814 = 18.14% probability that you would get at least 12 questions correct.
Answer:
Step-by-step explanation:
Given
Empty Tank
When filled with water, the height is:
Required
Determine how many more cubic inches needed
First, we calculate the difference between the height of the tank and the height of the water.
The volume of water to full the tank is then calculated as: