A rectangular prism is just a shape that looks like a brick.
If you think about a brick for a few seconds, you'll realize
that it has
-- 2 faces of (length by width)
-- 2 faces of (length by height)
and
-- 2 faces of (width by height).
The dimensions of the brick in question 6 are 8ft, 3ft, and 5ft.
So it has
-- 2 faces of 8ft by 3ft
-- 2 faces of 8ft by 5ft
and
-- 2 faces of 3ft by 5ft .
Can you take over and complete it now ?
1. B and Y are 2 events,and Y has already occurred.
2. P(B|Y)=P(B∩Y)/P(Y),
gives the probability of B to occur, once Y has already happened.
3. According to the givens (check the diagram at the bottom, of the described problem),
P(B∩Y)=n(B∩Y)/n(U)=8/26=4/13
P(Y)=n(Y)/n(U)=12/26=6/13
P(B|Y)=P(B∩Y)/P(Y)=(4/13)/(6/13)=4/6=2/3=0.67
Answer:
x = 6 or x = -3/2
Step-by-step explanation:
Solve for x:
16 x^2 - 72 x + 145 = 289
Hint: | Write the quadratic equation in standard form.
Divide both sides by 16:
x^2 - (9 x)/2 + 145/16 = 289/16
Hint: | Solve the quadratic equation by completing the square.
Subtract 145/16 from both sides:
x^2 - (9 x)/2 = 9
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 81/16 to both sides:
x^2 - (9 x)/2 + 81/16 = 225/16
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 9/4)^2 = 225/16
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 9/4 = 15/4 or x - 9/4 = -15/4
Hint: | Look at the first equation: Solve for x.
Add 9/4 to both sides:
x = 6 or x - 9/4 = -15/4
Hint: | Look at the second equation: Solve for x.
Add 9/4 to both sides:
Answer: x = 6 or x = -3/2
The equation that best represents the relationship between
the number of loaves of bread which is denoted by b and the number of cups of
bananas which is denoted by c is c = 2 1/4b.
We know that we need 11 ¼ cups of bananas is needed to make
5 loaves of bread.
We need to divide 11 ¼ to 5 which the answer is 2 ¼. The 2 ¼
represents how many cups is needed to make 1 loaf of bread.
