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>
<span>Since the number of quarters, dimes, and nickels is going to be the same for each, we can assign x as the quantity of each coin and place it by its monetary value:
.25x + .10x + .05x = 4.00
This then simplifies to:
.40x = 4.00
4 divided by .4 gives x a value of 10, so there would be 10 quarters, 10 dimes, and 10 nickels.</span>
Initial value: 1, rate of change 3 over 5.
Tom ate 1/4 pizza, so that left him with 3/4 pizza.
Now that 3/4 is divided into 1/12 , so now he got 3/4 : 1/12
= 9 slices of 1/12 pizzas , or 9/12 of the original pizzas
Now it remained 1/6 or 2/12 of the original pizzas.
which mean, the amount of friends that got pizza are : 9 - 2 = 7 friends
hope this helps
Answer:
To know the distance between the sun and the earth you need isolate d of the equation:
and the additional information needed is the velocity of light and the time elapsed to be in the earth
