Answer:
The normal distribution is explained for the solution of this question.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions 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.
Mean = 25, Standard Deviation = 3.8
This means that 
So
If P(X > k) = a
We have to find 
when Z has a pvalue of 1 - a.
If P(X < k) = a
We have to find when Z has a pvalue of a.
Answer:
Surface area - 0.96, Volume - 0.064
Step-by-step explanation:
2/5- 0.40
For surface area, the equation is 6a^2
When you fill in the variable its
6(0.4)^2
follow pemdas, so you do the exponents first
(0.4)(0.4)
0.16
6(0.16)
0.96
The formula for volume is a^3
0.4^3
(0.4)(0.4)(0.4)
(0.16)(0.4)
0.064
To solve this, we simply need to break down the problem. Doing this will yield us the correct equation.
"8.46 less than"
This shows we are going to have something subtracted by 8.46.
-8.46
"the product of"
This shows we will have a multiplication problem.
*-8.46
"42 and x"
This shows the values that we will be multiplying
42*x-8.46
Now we can simplify
42x-8.46
Using the logic above, we can see that the expression to represent the phrase is 42x-8.46.
N-5=m
6m-3n=3
6(n-5)-3n=3
6n-30-3n=3
3n=33
n=11
m=6
just use substitution to plug in m in terms of n and solve
Simplify 7(x-4)-3x+2x:
4x-26=3x-2-x
Subtract x from 3x:
4x-26=2x-2
Move all terms containing x to the left:
2x-26=-2
Move all terms not containing x to the right:
2x=24
Divide by 2 and simplify:
x=12
