Solve the following system y=-2 -2x-7y=24
1 answer:
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Answer:
95.64% probability that pledges are received within 40 days
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 pledges are received within 40 days
This is the pvalue of Z when X = 40. So
has a pvalue of 0.9564
95.64% probability that pledges are received within 40 days
7,912.8 inch³ of aluminum is needed to make 70 metal balls.
Step-by-step explanation:
Step 1:
The area of a sphere is calculated by multiplying with π and the cube of the radius (r³).
In the given problem, the diameter is 6 inches. So the radius of the spheres is 3 inches.
The volume of a sphere,
So if r = 3 inches and π = 3.14,
cubic inches.
So for a single aluminum ball, 113.04 inch³ of aluminum is needed.
Step 2:
If 113.04 inch³ of aluminum is used for 1 ball, then we multiply 70 with this value to determine the aluminum needed for 70 such balls.
The aluminum needed for 70 metal balls inch³.
So 7,912.8 inch³ of aluminum is needed to make 70 metal balls.