Since it's a right triangle you can use the Pythagorean theorem or Trig (Soh Cah Toa).
I'll just use the Pythagorean theorem : a² + b² = c²
a = 9
b = x
c = 18
9² + x² = 18²
81 + x² = 324
x² = 324 - 81
x² = 243
x = √(243)
factor 243 to find a perfect square
x = √(3*81)
x = 9√(3)<u />
5x^4
Step-by-step explanation:
simply we take 5x^4 bec. it can be divided by 40 and 135
Steven needs a total of 320 points to have a mean score of 80
Steven has 245 points so far
Steven needs to score at least 75 points on his last test to qualify for the team
5(1+9v) = 5+ 45v
20b+12= 4(5b+3)
And the last one is r=2
Hope this helps!
The expected value of the discrete distribution, if you have to pay $.50 to pick one package at random, is of -$0.08.
<h3>What is the mean of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
For this problem, considering the cost of $0.5, the distribution is given as follows:
- P(X = 0.2) = 12/(12 + 15 + 23) = 12/50 = 0.24.
- P(X = -0.1) = 15/(12 + 15 + 23) = 15/50 = 0.3.
- P(X = -0.2) = 23/(12 + 15 + 23) = 23/50 = 0.46.
Hence the expected value is given by:
E(X) = 0.2 x 0.24 - 0.3 x 0.1 - 0.2 x 0.46 = -$0.08.
More can be learned about the expected value of a discrete distribution at brainly.com/question/13008984
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