We have
425 corresponds to a z of
575 corresponds to
So we want the area of the standard Gaussian between -3/4 and 3/4.
We look up z in the standard normal table, the one that starts with 0 at z=0 and increases. That's the integral from 0 to z of the standard Gaussian.
For z=0.75 we get p=0.2734. So the probability, which is the integral from -3/4 to 3/4, is double that, 0.5468.
Answer: 55%
Answer:
x=2 and y= -3
Step-by-step explanation:
This is a simultaneous equation. To solve this type of equation, there are three methods; substitution, Elimination and Graphical.
But here, we would be using the substitution method.
3x-y=9 Equation 1
2x-y=7. Equation 2
Getting y from equation 2, we have
-y= 7-2x
Multiply both sides by -
y= 2x-7 Equation 3
Substituting y for 2x-7 in equation 1, we have
3x- (2x-7)=9
3x-2x+7=9
x+7=9
x=9-7
x=2
Substituting x as 2 in equation 3
y=2x-7
y= 2(2)-7
y= 4-7
y= -3
Answer:
0.55
Step-by-step explanation:
The right-hand column of the table gives us the probabilities of the probability function. We know from elementary probability theory that the "probability" of any event(s) happening would be from 0 to 1 inclusive.
The total probability of all events would add up to 1. So, we look at the probabilities given for each even, x, and add them:
0.29 + 0.09 + 0.03 + 0.04 = 0.45
All of these probabilities and the probability at x = 2 (the unknown) would add up to 1, so we can say:
0.45 + probability (x = 2) = 1
Probability at x = 2 = 1 - 0.45 = 0.55
If you are solving for x then here’s how:
(3x2 + 4x - 12) = (x + 5)
Remove the x on the left by remove one x from both of the sides.
(3x2 + 3x - 12) = 5
Add 12 onto both sides
(3x2 + 3x) = 17
Multiply
(6 + 3x) = 17
Take away 6 from both sides
3x = 11
Divide by 3 on both sides
x = 3.666 recurring
If q represents the line, then I think it's 8.8 (:
