Answer:
$1.00
Step-by-step explanation:
Answer:

And we can use the following formula:

And replacing the info we got:

Step-by-step explanation:
We define two events for this case A and B. And we know the probability for each individual event given by the problem:


And we want to find the probability that A and B both occurs if A and B are independent events, who menas the following conditions:


And for this special case we want to find this probability:

And we can use the following formula:

And replacing the info we got:

Answer:
(0, 4)
Step-by-step explanation:
To find the intersection of two lines, we want to find the value when they equal each other. To do this, we want to set the equations equal to each other.
First, let's simplify y = x + 4x + 4 by combining the x's.
y = 5x + 4
Now let's set the equations equal to each other. Since they both equal y, we can set the opposite sides equal to each other.
5x + 4 = 2x + 4
Now you want to combine the terms.
[subtract 4] 5x = 2x
[subtract 2x] 3x = 0
Now you want to isolate the x.
[divide by 3] x = 0
Now we want to find y by plugging x = 0 back into the equations.
y = 5(0) + 4
[multiply] y = 0 + 4
[add] y = 4
Check this with the other equation.
y = 2(0) + 4
[multiply] y = 0 + 4
[add] y = 4
Your answer is correct!
(0, 4)
Answer:
5
Step-by-step explanation:
0+3+6+7+9=25
25/5=5
Answer:
4y = 6x + 40
Step-by-step explanation:
The general equation of a straight line is y = mx + b
m is the slope and b is the y-intercept
let us write both equations in this form;
we have this as;
6y = -4x + 1
y = -4x/6 + 1/6
and;
2x + 3y = 18
3y = -2x + 18
y = -2x/3 + 6
So firstly we want to find an equation that is perpendicular to the first
When two lines are perpendicular, their slopes has a product of -1
The slope of the first line is -4/6
let the slope of the line we want be m
As per they are perpendicular;
-4/6 * m = -1
-4m/6 = -1
-4m = -6
m = 6/4
So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6
we can choose 10
and we have the equation as:
y = 6x/4 + 10
multiply through by 4
4y = 6x + 40