Answer:
The minimum score required for recruitment is 668.
Step-by-step explanation:
Problems of normally distributed samples can be 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:

Top 4%
A university plans to recruit students whose scores are in the top 4%. What is the minimum score required for recruitment?
Value of X when Z has a pvalue of 1-0.04 = 0.96. So it is X when Z = 1.75.




Rounded to the nearest whole number, 668
The minimum score required for recruitment is 668.
Answer:
it depends on how many tspns of salt
Step-by-step explanation:
Answer:
The number of liters for :
Acid solution a = x = 8 liters
Acid solution b = y = 32 liters
Step-by-step explanation:
Let us represent:
The number of liters for :
Acid solution a = x
Acid solution b = y
Suppose a chemist combines a 25% acid solution and a 50% acid solution to make 40 L of 45% acid solution.
x + y = 40 ...... Equation 1
x = 40 - y
25% × x + 50% × y = 45% × 40
0.25x + 0.5y = 18...... Equation 2
We substitute, 40 - y for x in Equation 2
0.25(40 - y)+ 0.5y = 18
10 - 0.25y + 0.5y = 18
- 0.25y + 0.5y = 18 - 10
0.25y = 8
y = 8/0.25
y = 32 Liters
Solving for x
x = 40 - y
x = 40 - 32
x = 8 Liters.
Hence:
The number of liters for :
Acid solution a = x = 8 liters
Acid solution b = y = 32 liters
Answer: s/12 = v
Step-by-step explanation:
Hi
Left to do 40% of the shopping
12 items ⇒ 60% of the items
x items ⇒ 40% of the items
60x = 12(40)
60x = 480
x = 480/60
x = 48/6
x = 8 items
Answer:
Left 8 items of the list (40% of the shopping)
Items: 12+8 = 20 items on her list