Your consecutive numbers are 52, 53, 54, 55, and 56.
I found an easy way to determine this; Divide 270 by 5 to get close to the consecutive numbers, since they are almost (number) x 5.
52 + 53 = 105,
105 + 54 = 159
159 + 55 = 214
214 + 56 = 270.
Hope this helps!
Answer:
The cutoff for an A grade is 82.8.
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 = 70, \sigma = 10](https://tex.z-dn.net/?f=%5Cmu%20%3D%2070%2C%20%5Csigma%20%3D%2010)
a. What is the cutoff for an A grade?
The top 10% of the class get an A grade. So the cutoff is the value of X when Z has a pvalue of 1-0.1 = 0.9. So it is X when Z = 1.28
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![1.28 = \frac{X - 70}{10}](https://tex.z-dn.net/?f=1.28%20%3D%20%5Cfrac%7BX%20-%2070%7D%7B10%7D)
![X - 70 = 1.28*10](https://tex.z-dn.net/?f=X%20-%2070%20%3D%201.28%2A10)
![X = 82.8](https://tex.z-dn.net/?f=X%20%3D%2082.8)
The cutoff for an A grade is 82.8.
Answer:
Step-by-step explanation:
In first step, we just open the brackets and you should know that ++ = + and +- = - and -- = + and -+ is also equal to -
after opening the brackets we combine terms which are a like
then any order, any grouping you can write the answer in any order and you can also take - common and it will be written as
-(5p-7a+6)
if you multiply the minus it will be the same.
Answer:
4cos4x
Step-by-step explanation:
let's use cos
amplitude=4
period=pi/2
2pi/x=pi/2
x=4
no phase shift
y=4cos4x
pic from desmos