Remember that percent means parts out of 100 so
x%=x/100
the easier way is to convert fractions to percent by making the bottom number 100 so
4/5 times 20/20=80/100=80%
so the equation is really
-80%-137.5%-20%=-237.5%
Answer:
49.87
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:
![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 p-value, we get the probability that the value of the measure is greater than X.
Suppose the mean percentage in Algebra 2B is 70% and the standard deviation is 8%.
This means that ![\mu = 70, \sigma = 8](https://tex.z-dn.net/?f=%5Cmu%20%3D%2070%2C%20%5Csigma%20%3D%208)
What percentage of students receive between a 70% and 94%
The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 70. So
X = 94
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{94 - 70}{8}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B94%20-%2070%7D%7B8%7D)
![Z = 3](https://tex.z-dn.net/?f=Z%20%3D%203)
has a p-value of 0.9987.
X = 70
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{70 - 70}{8}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B70%20-%2070%7D%7B8%7D)
![Z = 0](https://tex.z-dn.net/?f=Z%20%3D%200)
has a p-value of 0.5.
0.9987 - 0.5 = 0.4987.
0.4987*100% = 49.87%.
So the percentage is 49.87%, and the answer, without the percent sign, is 49.87.
a) 5, 10, -10, -6 (5 and 10 earned from work, 10 and 6 spent on expenses)
b) I'm sorry I can't plot on the computer
c) 3/2, 2/3, 0.5, 5/4; week one and four has the greatest amount eaten because 3/2 and 5/4 are the two largest numbers.
Answer:
62.0496 yards separate the first platform from the second platform
Step-by-step explanation:
We have to make the conversion of both units to yards.
Each feet has 12 inches.
Each inch is 0.0278 yards.
The first platform of the Eiffel Tower is 2,280 inches above the ground.
So
2280*0.0278 = 63.384 yards above the ground.
The second platform is 376 feet above the ground.
So
376*12*0.0278 = 125.4336 yards above the ground
How many yards separate the first platform from the second platform?
125.4336 - 63.384 = 62.0496
62.0496 yards separate the first platform from the second platform
X-y=1 --> x=1+y
plug it into the first equation
3(1+y) + 2y = 8
3+3y+2y=8
5y=5
y=1
plug y into the equation to solve for x
x=1+y
x=1+1
x=2