Answer:
<em>-(6 1/3-1/6x 36=216</em>
Hope I helped
Answer:
(a) The expected number of guests until the next one pays by American Express credit card is 4.
(b) The probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.
Step-by-step explanation:
The random variable <em>X</em> can be defined as the number of guests until the next one pays by American Express credit card
The probability that a guest paying by American Express credit card is, <em>p</em> = 0.20.
The random variable <em>X</em> follows a Geometric distribution since it is defined as the number of trials before the first success.
The probability mass function of <em>X</em> is:

(a)
The expected value of a Geometric distribution is:

Compute the expected number of guests until the next one pays by American Express credit card as follows:



Thus, the expected number of guests until the next one pays by American Express credit card is 4.
(b)
Compute the probability that the first guest to use an American Express is within the first 10 to checkout as follows:


Thus, the probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.
Answer:
Surface Area = 282.6 cm²
Step-by-step explanation:
Formula: SA = 2
rh + 2
r²
SA = 2
rh + 2
r²
SA = 2(3.14)(5)(4) + 2(3.14)(5)
SA = 2(3.14)(5)(4) + 2(3.14)(25)
SA = 125.6 + 157
SA = 282.6 cm²
4b + 6 - (2b + 2*3)
4b + 6 - (2b +6)
4b + 6 -2b - 6 (negative distributes)
ans: b

enters the irrational number category.
Integers numbers are the numbers without decimals between -infinity and infinity.
Natural numbers are the whole numbers from 1 to infinity.
Whole numbers are natural numbers + 0.