Answer:
The passing score is 645.2
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:
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:
If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score?
This is the value of X when Z has a pvalue of 1-0.1 = 0.9. So it is X when Z = 1.28.
The passing score is 645.2
Each variable used is the first letter of each of their names.
t+b+c=87
c=2t
b=t+7
Substitute for b and c
t+ (t+7)+2t= 87
4t+7=87
4t=80
t=20
Plug in the known t value.
c=2(20)
c=40
b=20+7
b=27
Final answer: Tammy=$20, Boris= $27, Carlos=$40
Answer:
x=(5±√17)/4, or x ≈ 2.281 and 0.219
Step-by-step explanation:
plug into quadratic formula
simplify
≈ 2.281 and 0.219
Answer:
$203.04
Step-by-step explanation:
First, you have to calculate the cost of sending one free sample and you could use a rule of three to find it:
23 onces → $0.36
69 onces → x
x=(69 onces*$0.36)/23 onces= $1.08
Then, you can multiply the cost of sending one free sample for the quantity of samples Instant Meals wants to mail out:
$1.08*188= $203.04
According to this, the answer is that Instant Meals would spend $203.04 on postage to mail out one hundred eighty-eight samples.
