Answer:
Acute angles.
Step-by-step explanation:
Acute angles are from 0-90 degrees.
Hope this helps :)
Step-by-step explanation:
0.92×10^3
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Answer:
The sales level that has only a 3% chance of being exceeded next year is $3.67 million.
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:
In millions of dollars,
![\mu = 3.2, \sigma = 0.25](https://tex.z-dn.net/?f=%5Cmu%20%3D%203.2%2C%20%5Csigma%20%3D%200.25)
Determine the sales level that has only a 3% chance of being exceeded next year.
This is the 100 - 3 = 97th percentile, which is X when Z has a pvalue of 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 - 3.2}{0.25}](https://tex.z-dn.net/?f=1.88%20%3D%20%5Cfrac%7BX%20-%203.2%7D%7B0.25%7D)
![X - 3.2 = 0.25*1.88](https://tex.z-dn.net/?f=X%20-%203.2%20%3D%200.25%2A1.88)
![X = 3.67](https://tex.z-dn.net/?f=X%20%3D%203.67)
The sales level that has only a 3% chance of being exceeded next year is $3.67 million.
C - 3 1/12
Get a common denominator
3*3 / 4*3 + 1*4 / 3*4
Simplifies into 9/12 + 4/12
Adds to 13/12.
12 goes into 13 1 time, leaving us with 1 1/12
Add the 1 to the 2 full cups that already existed in the original problem - 3 1/12
Answer: There are 980 degrees of freedom for the within subjects factor.
Step-by-step explanation:
Since we have given that
Number of groups = 20
Number of participants in each group = 50
So, number of participants in 20 groups is given by
![20\times 50\\\\=1000](https://tex.z-dn.net/?f=20%5Ctimes%2050%5C%5C%5C%5C%3D1000)
As we know that
Degrees of freedom for the within subjects factor would be
![v=n-k\\\\v=1000-20\\\\v=980](https://tex.z-dn.net/?f=v%3Dn-k%5C%5C%5C%5Cv%3D1000-20%5C%5C%5C%5Cv%3D980)
Hence, there are 980 degrees of freedom for the within subjects factor.