Answer:
a) 0.11%
b) 55.99%
c) 0.25%
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with a mean of 54.3 pounds and a standard deviation of 14.5 pounds.
This means that
1. What percentage of Americans' annual salad and cooking oil consumption is less than 10 pounds?
The proportion is the pvalue of Z when X = 10. So
has a pvalue of 0.0011
0.0011*100% = 0.11%.
2. What percentage of Americans' annual salad and cooking oil consumption is between 35 and 60?
The proportion is the value of Z when X = 60 subtracted by the pvalue of Z when X = 35.
X = 60
has a pvalue of 0.6517
X = 35
has a pvalue of 0.0918
0.6517 - 0.0918 = 0.5599
0.5599*100% = 55.99%
3. What percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds?
The proportion is 1 subtracted by the pvalue of Z when X = 95.
has a pvalue of 0.9975
1 - 0.9975 = 0.0025
0.0025*100% = 0.25%
Answer:
940800 different ways to create the committee.
Step-by-step explanation:
1 chosen from 100 leaves 98 to chose from on the second pick because the other senator from the same state is also eliminated. The second choice leaves 96 available for the third selection.
So multiply 100×98×96=940800
Okay, so here is a small lesson on rounding. When you round you MUST know the place value of each number. Ones, tens, hundreds, thousands, millions.
So, when we look at this number what do we have in the ones place --there is a 0 -- in the tens place we have a 9 and in the the thousands place we have 5. to round this number look at the tens place. if the number is greater than 5 you round 73590 to 73600, if it is 4 and lower it stays the same and the numbers behind change to zero--> like so 73500. But for this problem it would round up to 73600.
Step-by-step explanation:
A is in Quadrant I
D is in Quadrant III
2 to the left is 3 your very welcome hope this helps