Answer:
The answer is 3, 5, and 9
Answer:
You earned an A.
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 = 79, \sigma = 6](https://tex.z-dn.net/?f=%5Cmu%20%3D%2079%2C%20%5Csigma%20%3D%206)
The top 15% of all scores have been designated As.
This means that if Z for the score has a pvalue of 1-0.15 = 0.85 or higher, the score is designated as A.
Your score is 89. Did you earn an A?
We have to find the pvalue of Z when X = 89. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{89 - 79}{6}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B89%20-%2079%7D%7B6%7D)
![Z = 1.67](https://tex.z-dn.net/?f=Z%20%3D%201.67)
has a pvalue of 0.9525. So yes, you earned an A.
Answer:
precipitation then condensation
Step-by-step explanation:
Answer:
You will have to sell $7,667 worth of sales in a week in order for the straight commission offer to be at least as good
Step-by-step explanation:
Step 1: Get the total straight commission offer
We can express the straight total commission as follows;
A=R×T
where;
A=straight total commission
R=commission rate
T=total sales
In our case;
R=5%=5/100=0.05
T=t
replacing
A=0.05×t=0.05 t....equation 1
Step 2: Total amount of the second offer
We can express the total amount of the second offer as follows;
A=F+(R×T)
where;
A=amount of income the second company offers
F=fixed salary per week
R=commission rate
T=total sales
In our case;
F=$230 per week
R=2%=2/100=0.02
T=t
replacing;
A=230+(0.02×t)=0.02 t+230....equation 2
Step 3: Equate equation 1 and 2
0.05 t=0.02 t+230
(0.05 t-0.02 t)=230
0.03 t=230
t=230/0.03
t=7,666.67 rounded up=7,667
You will have to sell $7,667 worth of sales in a week in order for the straight commission offer to be at least as good