Answer:
Step-by-step explanation:
We would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = randomly chosen values.
µ = mean
σ = standard deviation
From the information given,
µ = 9
σ = 5
1) The proportion of the population that is less than 20 is expressed as
P(x < 20)
For x = 20
z = (20 - 9)/5 = 2.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.986
P(x < 20) = 0.986
2) The probability that a randomly chosen value will be greater than 6 is expressed as
P(x > 6) = 1 - P(x ≤ 6)
For x = 6
z = (6 - 9)/5 = - 0.6
Looking at the normal distribution table, the probability corresponding to the z score is 0.27
P(x > 6) = 1 - 0.27 = 0.73
Follow the order of operations. PEMDAS. Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. Let's start with parenthesis. First we so everything inside the parenthesis. So the first thing we do, is exponents, 2 x 2 = 4. Now the top equation is 3 x 4 - 23. Next thing in the order of operations, is Multiplication. So now we do 3 x 4. Which equals 12. Now the top equation is 10 - 12 - 23. Now we do Subtraction in order. First 10 - 12 = negative 2 (-2) Then we do -2 - 23 which equals negative 25 (-25). Now let's work on the bottom equation. Once again follow the order of operations. We do the exponents in the parenthesis first. 10 x 10 = 100. Then do the rest in the parenthesis, 1 + 100 = 101. Now the exponents in the outside of the parenthesis. - 2 x - 2 = 4. And 5 x 5 = 25. Then we do Multiplication, 4 x 25, which equals 100. Then we do 101 - 100 = 1. Then we reduce the fraction. -25/1 = -25. Therefore the answer to your problem is -25. I apologize for taking so long to write this. Hope this helps though!
-Twixx
The equation is -x + y = 6.
because if you simplify it to write it in the form y=mx +b, you'll get y = x + 6.
So the slope is 1 and y-intercept is 6.
You actually own your mom and dad 49.5 dollars each.
Answer:
D.
Step-by-step explanation:
I am assuming they are not allowing graphing calculators for this, which is kind of wacky, if you ask me.
Anyway, the greater or equal to can technically be used interchangeably, so it looks like this:
y > 2x --> y = 2x
And so, with that equation, the sign just tells you what section of the graph is included. In this case, everything above the line.