Any number inside the modulus sign becomes positive. This means 
and so we have,
Solving these gives us
However if we check the second solution in the original equation we obtain 
. This is false and so 
can't be a solution.
Therefore the only solution is 
.
(Note: I'm not sure why the second solution didn't work but when there's a modulus sign involved it always pays to check your final answers to be sure. I'll have a think about it but in case you find out before I do, I'd be interested to know in the comments.)
This problem cannot be solved unless we are given figure NPQR is a rhombus.
In that case, then all sides are equal, meaning
5x+16=9x-32
Solve for x
9x-5x=16+32
4x=48
x=12
Each side (including PQ) then equals 5x+16=5*12+16=76
5/12 is the simplified fraction for 30/72 by using the GCD or HCF method. 5/12 is simplified fraction for 30/72 by using the prime fractorization method.
Answer:
P(z>1.3) = 0.9032
Step-by-step explanation:
We are given:
Mean = 5000
Standard deviation = 1000
x = 6300
P(x>6300)=?
z-score =?
z-score = x- mean/standard deviation
z-score = 6300 - 5000/1000
z- score = 1300/1000
z-score = 1.3
So, P(x>6300) = P(z>1.3)
Looking at the z-probability distribution table and finding value:
P(z>1.3) = 0.9032
So, P(z>1.3) = 0.9032
Solution
Problem 6
For this case we can do this:
12, 16,__, 14, 8, 7
We can solve for x like this:
Problem 7
F
