Answer:
22.29% probability that both of them scored above a 1520
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:

The first step to solve the question is find the probability that a student has of scoring above 1520, which is 1 subtracted by the pvalue of Z when X = 1520.
So



has a pvalue of 0.5279
1 - 0.5279 = 0.4721
Each students has a 0.4721 probability of scoring above 1520.
What is the probability that both of them scored above a 1520?
Each students has a 0.4721 probability of scoring above 1520. So

22.29% probability that both of them scored above a 1520
You did south, north, correctly
but last one
twice north is 2 times (x+48) or 2x+96
so
s=x
n=x+48
c=4x
s+c>2x+96
subsitute s for x and 4x for c
x+4x>2x+96
5x>2x+96
minus 2x both sides
3x>96
divide both sides by 3
x>32
it cannot be equal to 32 so
the minimum value is 33 spaces in south car park
Answer:
See below
Step-by-step explanation:
11 box 1: 12
11 box 2: 101
12 box 1: 80
12 box 2: 80
12 box 3: 80
13 box 1: 16
13 box 2: 16
13 box 3: 76
20 = y + 12
20 - 12 = y + 12 - 12
8 = y
x + 2 = 19
x + 2 - 2 = 19 - 2
x = 17
z - 313 = 176
z - 313 + 313 = 176 + 313
z = 489
Answer:
x = 3.16
Step-by-step explanation:
x * x = 10

square root both sides

x is appr. 3.16