Answer:
0.34134
Step-by-step explanation:
in other to solve for this question we would be using the z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = standard deviation
the question tells us to find the probability that a worker selected at random makes between $350 and $400
let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.
z1 = (x1 - μ) / σ = (350-400) / 50 = -1
z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0
from tables, P(z <= -1) = 0.15866
P(z <= 0) = 0.5
then the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =
0.34134
that explains that the probability that a worker selected at random makes between $350 and $400 = 0.34134
Hi!
There might be different variations into how anyone would approach this problem but this is by far an easy way for me.
In order to solve fractional relationships with a variable, a perfect way to solve them would be to cross multiply and make them equal to each other.
You see the part '3y+12', and when you criss cross over to the other side of the equation, you get three. Multiply that together.
When you see the part '6', when you glide diagonally, you find '4y'. Multiply this together as well. Make them equal to each other.
(<em>This is how you do cross multiplication.)</em>
You should get something like this:
3(3y+12)=6(4y) Distribute the three on the left side and multiply. Do the same on the right.
9y+36=24y Now, you can combine like terms by subtracting 9y to the other side.
36=15y Isolate y and divide it by 15.
y=2.4
I was unclear of the answer, so I plugged in 2.4 into the original equation where the y variable was, and got the right answer, so 2.4 should be the correct one no matter how you got it.
I hope this helped!
The answer would be A (3/2)
