Answer:
1, 1/2, 3/2
Step-by-step explanation:
This is a prism (a 3d rectangle) and so your formula for finding the volume is V= L x W x H.
For the prism:
L= 1 (4 cubes x 1/4 = 4)
W = 1/2 (2 cubes x 1/4 = 1/2)
H = 3/2 (6 cubes x 1/4 = 6/4 = 3/2)
That's your answer, the tile 1, 1/2, 3/2
Answer:
The probability that either Alex or Bryan get an A is 0.9
Step-by-step explanation:
Before we proceed to answer, we shall be making some important notation;
Let A = event of Alex getting an A
Let B = event of Bryan getting an A
From the question, P(A) = 0.9, P(B) = 0.8 and P(A ∩
) = 0.1
We are to calculate the probability that either Alex or Bryan get an A which can be represented as P(A ∪ B)
We can use the addition theorem here;
P(A ∪ B) = P(A) + P(B) - P(A ∩ B) .......................(i)
Also,
P(A) = P(A ∩
) + P(A ∩ B) .........................(ii)
We can insert ii into i and we have;
P(A ∪ B) = P(A ∩
) + P(A ∩ B) + P(B) - P(A ∩ B) = P(A ∩
) + P(B) = 0.1 + 0.8 = 0.9
Area = length x width
Area = 21 square cm
Width = x
Length = 3x + 2
21 = 3x+ 2 * x
21 = 3x ^2 + 2x
Subtract 21 from both sides:
3x^2 + 2x -21 = 0
Use the quadratic formula to solve for x:
-2 +/- sqrt(2^2-4*3(-21))/(2*3)
X = 7/3 and -3
A dimension can’t be a negative value so x needs to be 7/3
Width = x = 7/3 = 2 1/3 cm
Length = 3(7/3) + 2 = 9 cm
Check: 9 x 2 1/3 = 21
Dimensions: width 2 1/3 cm length 9 cm
Simply 4/6 to its equivalent fraction of 2/3
Is 1/3 of a cup enough for the 2/3 a cup needed? No. So he doesn't have enough
Answer:
x = -2
-2(-2^2) + 4(-2)
-2(4) + -8
<h2>-8 + -8</h2><h2><em><u>
Answer = -16 is the answer.</u></em></h2>