Answer:
The expression is 
Step-by-step explanation:
Define the following events:
A: The student is enrolled in a foreign language class,
B: The student is enrolled in a technology class
We are given that 
Recall the definition of conditional probability: Let A, B be sets if P(B)>0, then, the probability of A given B is given by the expression
So, using this, we are asked for the probability 
which is
For this you need the formula for a circle:
A=πr2 (pi r squared)
A=π(10) squared
A=(3.14)(10) squared
(remember to square before you multiply - order of operations)
A=(3.14)(10*10)
A=(3.14)(100)
A=314
Hope this helps! :)
Answer:
Length = 16.3 in and Width = 12.3 in
Step-by-step explanation:
Let's name L the length and W the width of the rectangle. We can then write equations describing the statements given:
"<em>the length of a rectangle is 4 more than the width</em>"
L = W + 4
"<em>the perimeter of the rectangle is 57.2 inches</em>"
2 L + 2 W = 57.2
(where we used the formula for the perimeter of the rectangle equal to twice the rectangle's length plus twice the rectangle's width)
Now we use the first equation to substitute for L in the second one:
2 ( W + 4) + 2 W = 57.2
use distributive property to remove parenthesis
2 W + 8 + 2 W = 57.2
combine like terms
4 W + 8 = 57.2
subtract 8 from both sides
4 W = 57.2 - 8 = 49.2
divide both sides by 4 to isolate W
W = 49.2 / 4 = 12.3 in
Now we use this result in the first equation we wrote, to find L
L = W + 4 = 12.3 + 4 = 16.3 in
Therefore : Length = 16.3 in and Width = 12.3 in
Answer:
a=4
Step-by-step explanation:
60=a(0+5)(0+3)
We can simplify this equation
60 = a (5) (3)
60 = a(15)
Divide each side by 15
60/15 = 15a/15
4 =a
-4 yards
Some people find this helpful to picture or draw on a number line. Start at zero, go left to -5. Go 2 more spaces/marks left to -7, then go right three spaces to -4.
