Answer:
565.25 inches cubed
Step-by-step explanation:
14*(8 + 1/2)*(4 + 3/4)=565.25 inches cubed
Answer:
10.03% probability of getting a cup weighing more than 8.64oz
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 question, we have that:
![\mu = 8, \sigma = 0.5](https://tex.z-dn.net/?f=%5Cmu%20%3D%208%2C%20%5Csigma%20%3D%200.5)
What is the probability of getting a cup weighing more than 8.64oz
This is the 1 subtracted by the pvalue of Z when X = 8.64. So
![Z = 1.28](https://tex.z-dn.net/?f=Z%20%3D%201.28)
has a pvalue of 0.8997
1 - 0.8997 = 0.1003
10.03% probability of getting a cup weighing more than 8.64oz
Answer:
a. 6% one is better
b. $12,285.95
Step-by-step explanation:
a. For determining which investment earn more first we have to calculate both the investment which are as follows
a. Based on compound quarterly, the amount is find out by using the following formula
![Amount = {Present\ value\times (1 + interest\ rate)} ^{number\ of\ years}](https://tex.z-dn.net/?f=Amount%20%3D%20%7BPresent%5C%20value%5Ctimes%20%281%20%2B%20interest%5C%20rate%29%7D%20%5E%7Bnumber%5C%20of%5C%20years%7D)
where,
Present value is $50,000
Interest rate is =
= 0.015
And, the number of years is
= ![4\times4](https://tex.z-dn.net/?f=4%5Ctimes4)
= 16
So, the amount is
![= \$50,000 \times (1 + 0.015)^{16}](https://tex.z-dn.net/?f=%3D%20%5C%2450%2C000%20%5Ctimes%20%281%20%2B%200.015%29%5E%7B16%7D)
= $63,449.28
And, based on compounded continuously, the amount is determined by using the following formula
![Amount = Present\ value\times e^{rt}](https://tex.z-dn.net/?f=Amount%20%3D%20Present%5C%20value%5Ctimes%20e%5E%7Brt%7D)
![= \$50,000 \times e.^{0575(4)}](https://tex.z-dn.net/?f=%3D%20%5C%2450%2C000%20%5Ctimes%20e.%5E%7B0575%284%29%7D)
= $51,163.33
Therefore, The the investment at 6% is better
b. Now the difference in earning is
= $63,449.28 - $51,163.33
= $12,285.95
9514 1404 393
Answer:
x = 9
Step-by-step explanation:
Corresponding segments are proportional, so ...
(2x -8)/5 = (x -3)/3
3(2x -8) = 5(x -3) . . . multiply by 15
6x -24 = 5x -15 . . . . eliminate parentheses
x = 9 . . . . . . add 24-5x