Answer:
32.67
Step-by-step explanation:
18% of 181.5 is 32.67, which is much easier to solve than 181.5% of 18. It works flipped over.
Answer:
The minimum height in the top 15% of heights is 76.2 inches.
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:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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:
![\mu = 73.4, \sigma = 2.7](https://tex.z-dn.net/?f=%5Cmu%20%3D%2073.4%2C%20%5Csigma%20%3D%202.7)
Find the minimum height in the top 15% of heights.
This is the value of X when Z has a pvalue of 0.85. So it is X when Z = 1.04.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![1.04 = \frac{X - 73.4}{2.7}](https://tex.z-dn.net/?f=1.04%20%3D%20%5Cfrac%7BX%20-%2073.4%7D%7B2.7%7D)
![X - 73.4 = 1.04*2.7](https://tex.z-dn.net/?f=X%20-%2073.4%20%3D%201.04%2A2.7)
![X = 76.2](https://tex.z-dn.net/?f=X%20%3D%2076.2)
The minimum height in the top 15% of heights is 76.2 inches.
The next 3 numbers are 184, 375, and 758. Subtract the numbers (8-3, 19-8, 43-19 etc) you get a trend of 5, 11, 23, 47 and 95, if you subtract those (11-5, 23-11, 47-23) you get a trend of 6, 12, 24, which is just multiplied by 2 (6 x2 is 12, 12x 2 is 24). You can complete that by multiplying by two. You’ll notice that compared with that on both sides you’ve got 6, 12, 24, 48, and on another side you’ve got 5, 11, 23, 47 (one side is smaller by 1). You can add to get the next number in the sequence from 5, 11, 23, 47, etc. (3+5=8, 8+11=19........89+95=184, 184+191= 375, 375+ 383= 758. Hope that helped
Answer:
the damaged items expected in the case when the 23,025 capacitors produced is 75
Step-by-step explanation:
The computation of the damaged items expected in the case when the 23,025 capacitors produced is shown below:
= (5 × 23,025 capacitors) ÷ (1,535 capacitors)
= 75
Hence, the damaged items expected in the case when the 23,025 capacitors produced is 75
Danny's score at the end of the game is 30 because:
We started our with 10 points.
He loses 20 points, which brings him down to -10 points.
In the final round he earned 40 points. 40 minus the negative ten points gives us an answer of 30 points.