Answer:
12(1+3)
Step-by-step explanation:
gcf: 12
12/12=1
36/12=3
Answer:
6 weeks :)
Step-by-step explanation:
it will take her 6 weeks
45-15 is 30.
30/5 is 6
Answer: the x-intercept would be (2,-2)
Step-by-step explanation:
Answer:
The following points are not arranged in a parallelogram or rectangle order.
Step-by-step explanation:
Well first we need to graph the following.
A(1,1) B(2,2) C(3,3) D(4,4)
By looking at the image below we can tell it is not any shape, it’s not a parallelogram or a rectangle.
It is a line with a slope of 1 or x.
Answer:
Top 3%: 4.934 cm
Bottom 3%: 4.746 cm
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 = 4.84, \sigma = 0.05](https://tex.z-dn.net/?f=%5Cmu%20%3D%204.84%2C%20%5Csigma%20%3D%200.05)
Top 3%
Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![1.88 = \frac{X - 4.84}{0.05}](https://tex.z-dn.net/?f=1.88%20%3D%20%5Cfrac%7BX%20-%204.84%7D%7B0.05%7D)
![X - 4.84 = 0.05*1.88](https://tex.z-dn.net/?f=X%20-%204.84%20%3D%200.05%2A1.88)
![X = 4.934](https://tex.z-dn.net/?f=X%20%3D%204.934)
Bottom 3%
Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![-1.88 = \frac{X - 4.84}{0.05}](https://tex.z-dn.net/?f=-1.88%20%3D%20%5Cfrac%7BX%20-%204.84%7D%7B0.05%7D)
![X - 4.84 = 0.05*(-1.88)](https://tex.z-dn.net/?f=X%20-%204.84%20%3D%200.05%2A%28-1.88%29)
![X = 4.746](https://tex.z-dn.net/?f=X%20%3D%204.746)