Answer:
A and D is correct .
Step-by-step explanation:
The total amount of the resulting mixture can be calculated by adding up the volume of the given substances assuming that volume addition is applicable given the properties of the fluids used.
That is,
T = 6 quarts + 10 quarts = 16 quarts
The total volume of the resulting mixture is 16.
Then, we do the component (antifreeze) balance by adding up the resulting antifreeze from the substances to the total. We let x be the percentage of antifreeze in the final mixture.
6(0.52) + 10(0.32) = 16(x)
The value of x from the equation is 0.395.
Therefore, the answer to this item is 39.5%.
Answer:
The x-intercept of CD is -19/5
Step-by-step explanation:
If the coordinates of the first point is (-3, 2) and the coordinates of the point B are (7, 6) then we need first to find the equation of the line CD:
We know that the general equation of the line is:
y-y0 = m(x-x0) where (x0, y0) represents a point that belongs to the line and m, is the slope which can be calculated by using the following formula:
m = (x1 - x0) / (y1 - y0)
In this case:
(x1, y1) = (7, 6)
(x0, y0) = (-3, 2)
Then:
m = (7 - (-3))/(6-2) = 10/4 = 5/2.
Then, the equation of the line is:
y-y0 = m(x-x0)
y - 2 = 5/2 (x -(-3))
y = 5/2(x+3) + 2
To find the x intercept we make y=0.
Then y = 5/2(x+3) + 2 = 0
Then:
x = -4/5 - 3 = -19/5
Answer:

And then replacing in the total probability formula we got:

And rounded we got 
That represent the probability that it rains over the weekend (either Saturday or Sunday)
Step-by-step explanation:
We can define the following notaton for the events:
A = It rains over the Saturday
B = It rains over the Sunday
We have the probabilities for these two events given:

And we are interested on the probability that it rains over the weekend (either Saturday or Sunday), so we want to find this probability:

And for this case we can use the total probability rule given by:

And since we are assuming the events independent we can find the probability of intersection like this:

And then replacing in the total probability formula we got:

And rounded we got 
That represent the probability that it rains over the weekend (either Saturday or Sunday)
Answer:
[xl-8
Step-by-step explanation: