How many 1/4 inch cubes does it take to fill a box with width 1 inches, length 3 3/4 inches and height 1 1/2 inches?
1 answer:
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Answer:
a) 86.73
b) 90.24
c) 10.56% scoring more than 90
d) 75.8
e) 50% probability that a randomly selected student will score more than 80.
Step-by-step explanation:
Problems of normally distributed samples can be 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:
a. Find the 80th percentile.
This is the value of X when Z has a pvalue of 0.8. So X when Z = 0.841.
b. Find the cutoff for the A grade if the top 10% get an A.
This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.
c. Find the percentage scoring more than 90.
This is 1 subtracted by the pvalue of Z when X = 90. So
has a pvalue of 0.8944.
1 - 0.8944 = 0.1056
10.56% scoring more than 90
d. Find the score that separates the bottom 30% from the top 70%.
This is the value of X when Z has a pvalue of 0.3. So X when Z = -0.525.
e. Find the probability that a randomly selected student will score more than 80.
This is 1 subtracted by the pvalue of Z when X = 80.
has a pvalue of 0.5.
1 - 0.5 = 0.5
50% probability that a randomly selected student will score more than 80.
11 is the expected value of the escaped time.
Bv (Bt - Bo0 + (Bt - Bs0
= 4 - 0 + 4+3 = 11
Escape time refers to the time available (and necessary) for a person to escape from a particularly dangerous situation.
Escape time refers to the time available (and required) for a person to escape from a particularly hazardous situation. Understanding escape times is an important part of the hazard assessment process and is a particularly important component of any hazard assessment involving fire, explosion, or potential exposure to toxic substances.
The escape time concept is not simply a function of the time it takes for workers to escape the hazard. It also takes into account and constrains the amount of time workers have to escape before being overwhelmed by the danger. This means that two of her workers trying to escape the same fire may have different escape times if one is wearing a fire suit and the other is not.
Learn more about escaped time here: brainly.com/question/322694
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