Answer:
The other 2/3 would be 20
Step-by-step explanation:
Each 1/3 is 10 so 10*2 is 20
Answer:
9 servings
Step-by-step explanation:
47/5= 9 remainder 2
because 9*5=45
47-45= 2
Hence 9 servings
Answer:
ab^2 - cd ^2
x^8-1
(x+y)^2/24
Step-by-step explanation:
i hope it is helpful
Answer:
The middle 90% of all freshman biology majors' GPAs lie between 2.31 and 3.43.
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.
Mean 2.87 and standard deviation .34.
This means that ![\mu = 2.87, \sigma = 0.34](https://tex.z-dn.net/?f=%5Cmu%20%3D%202.87%2C%20%5Csigma%20%3D%200.34)
Middle 90% of scores:
Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile.
5th percentile:
X when Z has a pvalue of 0.05. So X when Z = -1.645.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![-1.645 = \frac{X - 2.87}{0.34}](https://tex.z-dn.net/?f=-1.645%20%3D%20%5Cfrac%7BX%20-%202.87%7D%7B0.34%7D)
![X - 2.87 = -1.645*0.34](https://tex.z-dn.net/?f=X%20-%202.87%20%3D%20-1.645%2A0.34)
![X = 2.31](https://tex.z-dn.net/?f=X%20%3D%202.31)
95th percentile:
X when Z has a pvalue of 0.95. So X when Z = 1.645.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![1.645 = \frac{X - 2.87}{0.34}](https://tex.z-dn.net/?f=1.645%20%3D%20%5Cfrac%7BX%20-%202.87%7D%7B0.34%7D)
![X - 2.87 = 1.645*0.34](https://tex.z-dn.net/?f=X%20-%202.87%20%3D%201.645%2A0.34)
![X = 3.43](https://tex.z-dn.net/?f=X%20%3D%203.43)
The middle 90% of all freshman biology majors' GPAs lie between 2.31 and 3.43.
It's a little weird because area of a triangle is always 1/2 bh it doesn't ask for units
A)1/2 bh (put numbers in unit of feet)
B)asks to find area using A (like you know area in unit of square feet )( every
square feet is 144 square inch)
C)1/2*3*2.2=1.1*3=3.3 square inch