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gulaghasi [49]
3 years ago
14

Consider an urn initially containing n balls, numbered 1 through n, and suppose that balls will be randomly drawn from the urn,

one by one, and without replacement (so that after n draws, it is empty). Letting X be the number of successes that will occur, where a success is considered to occur on the ith draw if the ball obtained is numbered i or smaller, give the expected value of X. (E.g., if n = 5, and the balls are drawn in the order 3, 1, 5, 4, 2, then x = 3, because the 2nd, 4th, and 5th draws result in successes, but the 1st and 3rd draws don’t.)
Mathematics
1 answer:
kifflom [539]3 years ago
7 0
If balls were drawn from X to the other X, that how you find yo answer
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Figure this out please Asap.
weeeeeb [17]

If the polygons are similar then the sides are in proportion.

\dfrac{32}{24}=\dfrac{32:8}{24:8}=\dfrac{4}{3}

Therefore we have the equations:

\dfrac{x-1}{6}=\dfrac{4}{3}\qquad\text{cross multiply}\\\\3(x-1)=(4)(6)\\\\3x-3=24\qquad\text{add 3 to both sides}\\\\3x=27\qquad\text{divide both sides by 3}\\\\\boxed{x=9}


\dfrac{y+1}{21}=\dfrac{4}{3}\qquad\text{cross multiply}\\\\3(y+1)=(21)(4)\\\\3y+3=84\qquad\text{subtract 3 from both sides}\\\\3y=81\qquad\text{divide both sides by 3}\\\\\boxed{y=27}

6 0
3 years ago
The base of a triangular prism is an isosceles right triangle with a hypotenuse of
Setler [38]
SA= Lateral Area + Area (of base)

Lateral area = perimeter of base x height

An isosceles triangle has two congruent base segments. The hypotenuse of an isosceles right triangle is (length of base segment) x (the square root of 2). I did the math for you (shown above) to get 5 as a base.

So 5 + 5 + square root of 50 is your perimeter

Multiply the perimeter times your height (8) and you get the lateral area.

Add your lateral area to the base area (triangle = 1/2 bh)

LA = 136.568...
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6 0
3 years ago
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Akimi4 [234]

1.236293992929299292929

8 0
2 years ago
A local 4-H club surveyed its members, and the following information was obtained: 14 members had rabbits, 10 had goats, 4 had b
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8 0
3 years ago
Find the X-Intercepts of <br> y=-x^2-2x+1
bekas [8.4K]

Answer:

(1,0)

Step-by-step explanation:

we can't factor this so we'll use the quadratic formula

\frac{-b+\sqrt{b^2-4ac} }{2a}\\\frac{-b-\sqrt{b^2-4ac} }{2a}

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We have

\frac{2+\sqrt{4-4}}{2}=\frac{2}{2}=1

Therefore the x intercept is just (1,0)

6 0
3 years ago
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