1. Add all of the sides
So it should be 22
answer:
x < 44
step-by-step explanation:
- solve this like an equation
<u>3/4x < 33</u>
- in order to solve this we can multiply this with the denominator first to cross out the fraction and be left with a whole number
3/4x < 33
3/4x(4) < 33(4)
3x < 132
x < 44
Answer:
C
Step-by-step explanation:
Answer:
y-intercept: (0,)
0, 4e+151
809.366, 0
Step-by-step explanation:
Answer:
a) 3 kilograms
b) 5.7 kilograms
Step-by-step explanation:
Z-score:
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 question:
![\mu = 3.89, \sigma = 0.68](https://tex.z-dn.net/?f=%5Cmu%20%3D%203.89%2C%20%5Csigma%20%3D%200.68)
We have to find X for both values of Z.
a) z = -1.35
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![-1.35 = \frac{X - 3.89}{0.68}](https://tex.z-dn.net/?f=-1.35%20%3D%20%5Cfrac%7BX%20-%203.89%7D%7B0.68%7D)
![X - 3.89 = -1.35*0.68](https://tex.z-dn.net/?f=X%20-%203.89%20%3D%20-1.35%2A0.68)
![X = 3](https://tex.z-dn.net/?f=X%20%3D%203)
3 kilograms
b) z = 2.64
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![2.64 = \frac{X - 3.89}{0.68}](https://tex.z-dn.net/?f=2.64%20%3D%20%5Cfrac%7BX%20-%203.89%7D%7B0.68%7D)
![X - 3.89 = 2.64*0.68](https://tex.z-dn.net/?f=X%20-%203.89%20%3D%202.64%2A0.68)
![X = 5.7](https://tex.z-dn.net/?f=X%20%3D%205.7)
5.7 kilograms