Answer:
The probability that both of the selected marbles are red is
Step-by-step explanation:
Given
Number of red marbles = 3
Number of blue marbles = 5
Required
Probability of selecting two red marbles (without replacement).
First, we need to get the total number of marbles
Total = Red Marbles + Blue Marbles
Total = 3 + 5
Total = 8
Probability is calculated by: Number of required outcome divided by number of possible outcome.
Since there are 3 red marbles out of a total of 8 marbles;
The probability that the first marble you selected is red is 3/8
From the question, you didn't return the marble back to the container.
This means that, there are 2 red marbles and a total of 7 marbles left in the container.
So, the probability that the next marble selected is red is 2/7
Let P(R and R) represent the probability of selecting two red marbles.
This is calculated by multiplying the probability of picking the first red marble and the second red marble.
Hence,
P(R and R) =
P(R and R) = --- Reduce to lowest term
P(R and R) =
Hence, the probability that both of the selected marbles are red is
To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to write as a percent, we need to find a fraction equivalent to that has a 100 in the denominator. We can do this by setting up a proportion.
=
Now, we can use cross products to find the missing value.
25n = 300
÷3 ÷3
N = 12
Therefore, is equal to or 12%.
b. At this rate, how long would Gianna have to work to make $60?
Use a ratio table to solve.
So here we are being asked to draw a card that isn't a heart or a queen... the amount of cards that are not hearts or queens out of a 52 card deck is 36. So that makes the probability 36/52 if we want to make that a percent then we have to change the denominator to a 100 we end up with this problem:
36/52 = x/100
There are many ways we can solve this. One way being cross multiplying, which I think is the easiest.
If our problem is a/b = c/d we multiply a and d then we multiply b and c
Plugging our original problem into that, we 36 times 100 and 52 times x. That gives us 3600 and 52x
This is now an algebraic problem.
52x=3600
First step, divide each side by 52
We get x=69.2 rounded to the nearest tenth.
So our probability is about 69/100 or 69%
Any Questions?
proability is (desired outcomes)/(total possible outcomes)
total possible outcomes is 52 cards
out of those 52 cards, how many are NOT heart or queen?
hearts is a suit, so 1/4 of the deck (or 52/4=13 cards) are not what we want
queens, there are 4 queens in a deck, but one of them is a queen of hearts. to avoid doublecount, say 3 queens
so total of 13+3=16 cards to not pick
so we have 52-16=36 cards we want to pick
probablity=36/52=18/26=9/13≈63.23%
And please explain
Answer:
35 square units
Step-by-step explanation:
By stacking 12 metal sheets, each 1.2 mm thick, on top of one another, the combined thickness will be 1.44 cm (14.4 mm).
To achieve a thickness of 1.44 cm, the metal sheets must be stacked on top of each other.
Since the thickness of each individual metal sheet is 1.2 mm, we need to find the number of sheets required to reach 1.44 cm.
First, we convert 1.44 cm to mm, which is 1.44 cm × 10 mm/cm = 14.4 mm.
Next, we divide the total thickness (14.4 mm) by the thickness of each metal sheet (1.2 mm):
Number of sheets = 14.4 mm / 1.2 mm
= 12
Therefore, to achieve a thickness of 1.44 cm, you need to stack 12 metal sheets on top of each other.
Learn more about the conversions here:
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