Answer:
Probability of picking an even and then even number = 
Step-by-step explanation:
Probability of picking a card with even number,
P(even 1) = 
= 
= 
= 
Followed by picking a card which is even without putting the first card back.
So an even card is to be picked out of remaining 3 cards.
P(even 2) =
= 
Now probability of both events = P(even 1) × P(even 2)
= 
=
Therefore, probability of both the events will be .
Answer:
Width = 14m
Step-by-step explanation:
width = w
length = w - 6
area: w(w-6) = 112
w^2 - 6w = 112
14 x 14 = 196
6 x 14 = 84
196 - 84 = 112
Answer:
Graph B
Step-by-step explanation:
The solutions to a quadratic equation are the points on which we have the graph of the curve touching the x-axis
Now the first thing we will do here is to solve the quadratic equation graph;
x^2 + 4x -12 = 0
x^2 +6x - 2x -12 = 0
x (x + 6) -2(x + 6) = 0
(x-2)(x + 6) = 0
x = 2 or -6
So the graph that touches the x-axis at the points x = 2 and x = -6 is the solution to the quadratic equation
Graph B is the closest to what we have as answer
Answer:
10.6
Step-by-step explanation:
4 + 6(1.3) - 2.4 * 0.5
= 4 + 6 * 1.3 - 2.4 * 0.5
= 4 + 7.8 - 0.5 * 2.4
= 4 + 7.8 - 1.2
= 10.6
Answer:
x = - 4
Step-by-step explanation:
Given
x + 4 = 
x
Multiply through by 3 to clear the fractions
5x + 12 = 2x ( subtract 2x from both sides )
3x + 12 = 0 ( subtract 12 from both sides )
3x = - 12 ( divide both sides by 3 )
x = - 4
