Answer:
here you go , all four completed, took me some time , hipe i was able to help you out tho
What is the graph of the solution set of b-4>= -1
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The Volume of PYRAMID A is 8 times greater than the Volume of PYRAMID B as obtained by taking the ratio of the volume of both pyramids.
Volume of a square based pyramid is given as :
Where; h = height ; a = base edge
Hence, Volume of PYRAMID A :
Volume of PYRAMID B = 3,136 in³
Divide Volume of pyramid B by pyramid A :
= 8 times
Expressing as a percentage, multiply by 100% ;
8 * 100% = 800%
Therefore, The volume of PYRAMID B is 800% times GREATER THAN that of PYRAMID A.
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Answer:
68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds
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 a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds
This is the pvalue of Z when X = 8.6 subtracted by the pvalue of Z when X = 6.4. So
X = 8.6
has a pvalue of 0.8413
X = 6.4
has a pvalue of 0.1587
0.8413 - 0.1587 = 0.6826
68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds