The given set with four elements will have 16 subsets
Step-by-step explanation:
The number of subsets are calculated by using the number of elements in the given set.
Given set is:
{1,4,9,18}
The number of elements in the given set are: 4
So,
n = 4
The formula used for calculating the number of sub-sets is:
Where n is the number of elements in the set
Putting n=4
So,
The given set with four elements will have 16 subsets
Keywords: Set, subsets
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To expand just go (3x+y)(3x+y)(3x+y)(3x+y) then use something my teacher calls the "crab claw" for just the first 2 brackets by doing 3x*3x + 3x*y + y*3x + y*y to get (9x^2+3xy+3xy+y^2) then find the like terms to get (9x^2+6xy+y^2) which would be the same for the other 2 brackets to get
(9x^2+6xy+y^2) (9x^2+6xy+y^2) then expand them by going 9x^2*9x^2... now you should try the rest. Hope this is the answer you wanted
Answer:
Options B, D and E
Step-by-step explanation:
From the picture attached,
AB and CE are the parallel lines and three lines AD, AC and BE are intersecting these parallel lines.
m∠A = m∠C = 90°
Therefore, AC is perpendicular to the lines AB, CD and CE.
Options B, D and E are the correct options.
Using the binomial distribution, it is found that there is a 0.2373 = 23.73% probability that she does not wait for more than 10 minutes on all 5 roller coasters she rides at the amusement park.
<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 are given as follows:
n = 5, p = 0.25.
The probability that she does not wait for more than 10 minutes on all 5 roller coasters she rides at the amusement park is P(X = 0), hence:
More can be learned about the binomial distribution at brainly.com/question/24863377
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