Let the full marks = x
Then, it would be: x*40/100 = 60
x = 6000/40
x = 150
Full marks will be 150
Answer:
The numbers are 23 and 7
Step-by-step explanation:
1. Set up the equations
Let x = the greater number
and y = the smaller number. Then
(1) x - y = 16
4y = 4 times the smaller number and
4y - 5 = 5 less than 4 times the smaller number. Then
(2) x = 4y - 5
You have a system of two equations:

2. Solve the equations

The larger number is 23; the smaller number is 7.
3. Check

OK.
Answer:
The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.
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:

What is the minimum score needed to be considered for admission to Stanfords graduate school?
Top 2.5%.
So X when Z has a pvalue of 1-0.025 = 0.975. So X when Z = 1.96




The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.
112% of original=28
percent measn parts out of 100
112%=112/100=1.12
'of' means multiply
112% of original=28 means
1.12 times original=28
divide both sides by 1.12
original=25
original bill was $25