A bag contains 3 red marbles and 4 blue marbles. a marble is taken at random and replaced. Another marble is taken from the bag. Work out the probability that the two marbles taken from the bag are the same color.
<span>Total number of marbles in the bag is 3 + 4 = 7.<span>The problem asks for the probability of (RR) or (BB).</span>It's worthy to note we are replacing the balls after each draw, which means we always have 7 to draw from</span>Since each draw is independent, we take the product of each event for the total event probability.
P(RR) = 3/7 * 3/7 = 9/49
P(BB) = 4/7 * 4/7 = 16/49
We want to know P(RR) + P(BB)
<span>P(RR) + P(BB) = 9/49 + 16/49 = 25/49</span>
Answer:
Step-by-step explanation:
hello : Completing The Square
X²+y²-10x-16y+53=0 means : (x²-10x+25-25)+(y²-16y+16-16)+53 =0
(x²-10x+25)-25)+(y²-16y+64)-64+53 =0
(x+5)²+(y-8)² -25-64+53=0
(x+5)²+(y-4)² = 6² standard form
the center is (-5 , 4) and the radius : 6
From the problem, we have an algebraic expression :
Which is the product of 1/4 and a number, plus 7.
ANSWER :
a. the product of one-fourth and a number plus seven
Answer:
C.
Step-by-step explanation:
The pattern is the amount of sides each shape has.
Triangle - 3
Rectangle - 4
Pentagon - 5
Logically, the next shape would be a hexagon, a shape with 6 sides.
