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The area of a square is decreasing at a rate of 43 square inches per second. At the time when the side length of the square is 7
1 answer:
Answer:
26.230 Inches per second.
Step-by-step explanation:
Since, Area of square is decreasing at the rate of 43 square inches per second And area is directly proportional to square of the side , So
Its side will be decreasing at the rate of inches per second .
Now,
Perimeter of square is directly proportional to 4 times of the side of the square.
so Perimeter of square will be decreasing at the rate of 4×
After rounding off to three decimal places we will get 26.230 Inches per second.
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Answer:
The probability is 0.0052
Step-by-step explanation:
Let's call A the event that the four cards are aces, B the event that at least three are aces. So, the probability P(A/B) that all four are aces given that at least three are aces is calculated as:
P(A/B) = P(A∩B)/P(B)
The probability P(B) that at least three are aces is the sum of the following probabilities:
- The four card are aces: This is one hand from the 270,725 differents sets of four cards, so the probability is 1/270,725
- There are exactly 3 aces: we need to calculated how many hands have exactly 3 aces, so we are going to calculate de number of combinations or ways in which we can select k elements from a group of n elements. This can be calculated as:
So, the number of ways to select exactly 3 aces is:
Because we are going to select 3 aces from the 4 in the poker deck and we are going to select 1 card from the 48 that aren't aces. So the probability in this case is 192/270,725
Then, the probability P(B) that at least three are aces is:
On the other hand the probability P(A∩B) that the four cards are aces and at least three are aces is equal to the probability that the four card are aces, so:
P(A∩B) = 1/270,725
Finally, the probability P(A/B) that all four are aces given that at least three are aces is: