Answer:
13, 18, 72
Step-by-step explanation:
let x-5 represent the first number, since the first number is 5 less than the third number. let x represent the third number. let 4x represent the third number, since it's four times greater than the third number.
set up an equation, and make it equal to 103:
x-5+x+4x=103
solve:
6x-5=103
6x=108
x=18
so, the third number is 18.
the first number is equal to x-5, so:
18-5=13
the second number is equal to 4x, so:
4(18)=72
so, the three numbers are 13, 18, and 72.
Answer:
0.024
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean
and standard deviation 
Suppose the true proportion of high school juniors who skateboard is 0.18.
This means that 
Samples of 250 high school juniors are taken
This means that 
By how much would their sample proportions typically vary from the true proportion?
This is the standard error, so:



So 0.024 is the answer.
Answer:
x = 9
Step-by-step explanation:
create a ratio between the triangles:
x/6 = 12/8; cross multiply
72 = 8x; divide 8 on both sides
x = 9