165=15×11
15=5×3
Prime factorization of 165 is 3×5×11.
Translation of the graph:
y = ( x + 3 )² - 2 to y = ( x - 2 )² + 2
The equations are in the form: y = a ( x - h )² + k
- 2 → 2 ( up 4 )
- 3 → 2 ( 5 to the right )
Answer:
The translation is
A ) up 4 and 5 to the right
Using the binomial distribution, the probabilities are given as follows:
- 0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.
- 0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.
- Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
The values of the parameters for this problem are:
n = 10, p = 0.4.
The probability that more than 4 weigh more than 20 pounds is:
In which:
Then:
Hence:
0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.
The probability that fewer than 3 weigh more than 20 pounds is:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0061 + 0.0403 + 0.1209 = 0.1673
0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.
For more than 7, the probability is:
Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
2
Step-by-step explanation:
The intersection of A and B is basically how many black 6s there are in a deck. There are 2: the 6 of spades and the 6 of clubs so the answer is 2.
Answer:
49
Step-by-step explanation:
with a square all sides are equal so if one side is 7 the other is 7 so you would do 7 * 7
hope this helps