Solution:
we are given that
Inscribed angle
Intercepted arc
As we know that the Inscribed angle is Half of the measure of the intercepted arc.
So we can write
Sarita showed the steps to solving the equation.
1 answer:
The option that explains Sarita's mistake is Sarita’s solution is correct. She made an error in her verification.
<h3>What was Sarita's mistake?</h3>The given equation is: 5(x - 3) + 7(x + 4) = 73
In order to determine the value of x, take the following steps:
1. Apply the Distributive property:
5x - 15 + 7x + 28 = 73
2. Add similar terms together:
12x + 13 = 73
3. Combine similar terms:
12x = 73 - 13
4. Add similar terms
12x = 60
5. Divide both sides of the equation by 12
x = 60 / 12
x = 5
In order to verify the answer, substitute for x in the given equation :
5(5 - 3) + 7(5 + 4) = 73
5(2) + 7(9) = 73
10 + 63 = 73
73 = 73
Please find attached the complete question. To learn more about equations, please check: brainly.com/question/14446120
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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: