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djverab [1.8K]
4 years ago
14

The Powerball lottery is open to participants across several states. When entering the powerball lottery, a participant selects

five numbers from 1-59 and then selects a powerball number from the digits 1-35. In addition, there’s a $1 million payoff for anybody selecting the first five numbers correctly. • Show that the odds of winning the Powerball Jackpot are 1 in 175, 223, 510. • Show that the odds of winning the $1 million are 1 in 5, 153, 632. On February 18, 2006 the Jackpot reached $365 million. Assuming that you will either win the Jackpot or the $1 million prize, what’s your expected value of winning? Mega Millions is a similar lottery where you pick 5 balls out of 56 and a powerball from 46. Show that the odds of winning mega millions are higher than the Powerball lottery On March 30, 2012 the Jackpot reached $656 million. Is your expected value higher or lower than that calculated for the Powerball lottery?
Mathematics
1 answer:
mr Goodwill [35]4 years ago
6 0

Answer and Step-by-step explanation:

Number of ways = 59C5 × 35= 59!/(54!*5!)* 35= 175223510

Odds are thus 1 in 175223510

b) 1 million - Number of ways = 59!/(54!*5!) =5006386*35/34 = 5153632

Odds are thus 1 in 5153632

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Radda [10]
The opposite operation of squaring is to find the square root. I dunno what the original equation is so I can’t help with that
5 0
2 years ago
write and solve an equation to determine the length of a rectangular prism with a width of 4 feet ,a height of 6 feet ,and a vol
Tasya [4]

Answer:

3.5ft

Step-by-step explanation:

To calculate the volume of something, you need to know the formula. Length x width x height. You already know the width, and the height, so you need to find the length.

4ft x 6ft x 3.5ft = 84ft^3

3 0
3 years ago
What is the approximate volume of the cone?
Mnenie [13.5K]

Answer:

A. 1206 cm³

Step-by-step explanation:

We have a cone and are asked to find the approximate volume of it.

Keep in mind we are using π for 3.14

The forumla of a cone is V = πr²\frac{h}{3}

We know the radius = 12

and the height = 8

Substitute :

V = π12²\frac{8}{3}

Since these are multiplied with each other, we can first start off with multiplying the fraction, including with factoring 12²:

V = \frac{2^4*3^2*8\pi }{3}

Cancel the common factor - 3 :

V = 2^4 * 8 * 3\pi

Multiply 8 and 3π :

V = 2^4 * 24\pi

Solve the exponent :

V = 16 * 24\pi

Multiply :

V = 384\pi

Multiply for the final answer :

1205.76 cm³

which can be rounded up to

A. 1206 cm³

3 0
3 years ago
Alana took a math quiz last week. She got 12 out of 20 problems correct. What percentage did Alana get correct?
Deffense [45]

Answer:

60%

Step-by-step explanation:

The fraction 12/20 in simplest form would be 6/10 which come be converted to a percentage. (6x10)/(10x10)=60/100 or 60%.

4 0
3 years ago
I need help I’m bad at math
Alina [70]
If you'd graph this function, you'd see that it's positive on [-1.5,0], and that it's possible to inscribe 3 rectangles on the intervals [-1.5,-1), (-1,-0.5), (-0.5, 1].

The width of each rect. is 1/2.

The heights of the 3 inscribed rect. are {-2.25+6, -1+6, -.25+6} = {3.75,5,5.75}.

The areas of these 3 inscribed rect. are (1/2)*{3.75,5,5.75}, which come out to:

{1.875, 2.5, 2.875}

Add these three areas together; you sum will represent the approx. area under the given curve on the given interval:  1.875+2.5+2.875 = ?
5 0
3 years ago
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