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amm1812
3 years ago
15

Probability played a role in the rigging of the April 24, 1980, Pennsylvania state lottery (Los Angeles Times, September 8, 1980

). To determine each digit of the three-digit winning number, each of the numbers 0, 1, 2, . . . , 9 is placed on a Ping-Pong ball, the ten balls are blown into a compartment, and the number selected for the digit is the one on the ball that floats to the top of the machine. To alter the odds, the conspirators injected a liquid into all balls used in the game except those numbered 4 and 6, making it almost certain that the lighter balls would be selected and determine the digits in the winning number. Then they bought lottery tickets bearing the potential winning numbers. How many potential winning numbers were there (666 was the eventual winner)?
Mathematics
1 answer:
zlopas [31]3 years ago
7 0

Answer:

There were 8 potential winning numbers

Step-by-step explanation:

According on what the exercise says, there are 2 numbers likely to be selected in each of the 3 rolls: 4 and 6. Since we are picking 3 digits, and each digit give us 2 possibilities, then we have a total of 2³ = 8 potential winners (namely 444, 446, 464, 644, 466, 646, 664 and the winner 666).

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Please answer the question and leave an explanation on how to solve each part. Thank you in advance!
horsena [70]

The solutions are

  • it is going to take 15.9 months to raise 10000 dollars
  • You will have $37.31 after you have bought the car
  • The money deficit would be $37.31

<h3>How to solve the question</h3>

a. 10000 = 9359.08e(0.05)

e⁰⁰⁵ = 10000/9359.08

= 0.05 = ln(10000/9359.08)

= 1.325 years

convert to months = 15.9 months

Hence it is going to take 15.9 months to raise 10000 dollars

b. 9359.08 x e^(0.05 x1.25)

= 9962.69

10000 - 9962.69

= $37.31

You will have $37.31 after you have bought the car

c. The money loss and the deficit would be same as above $37.31

d. ln(e^a) = a

We can clearly see that the money cannot be raised in the 15 months from $ 9359.08. there is a deficit amount of $37.31

Read more on compound interest here: brainly.com/question/24924853

#SPJ1

3 0
1 year ago
If you could please kindly help :D
BartSMP [9]

Answer:

y = -1/2 ( x − 4 )^2 + 8

Step-by-step explanation:

First find the vertex form

y = a ( x − h )^ 2 + k  where ( h,k) is the vertex

The vertex is  ( 4,8)

y = a ( x − 4 )^2 + 8

Now we need to determine a

Pick a point on the graph (0,0)

and substitute this point into the equation

0 = a ( 0 − 4 )^2 + 8

0 = a (16) +8

-8 = 16a

-8/16 =a

-1/2

y = -1/2 ( x − 4 )^2 + 8

7 0
3 years ago
Find the number of letters from the word MAXIMUM where two consonants cannot occur. (Permutation)​
Hunter-Best [27]

Answer:

4!

Step-by-step explanation:

In word MAXIMUM, consonants are M & X. According to the question itself, consonants should not occur together.

So, we have to put vowels at each even position; only then the condition will be satisfied.

We can put this in 3! ways (permutations of A, I & U).  

For odd positions we can put 3-M's & a X. Total ways is 4!/3!   (as repetitions of M).

Hence, the answer is 4!/3! x 3! = 24 ways.  

24=4!.

5 0
2 years ago
The circumference of a circle is 28.888 centimeters. What is the circle's radius?
DanielleElmas [232]

Answer:

4.6

Step-by-step explanation:

28.888 / 3.14 = 9.2

9.2 / 2 = 4.6

5 0
2 years ago
What is this Simplify as √16y¹6
ELEN [110]

Answer:

6y^1^6

Step-by-step explanation:

I hope this has Helped :)

7 0
1 year ago
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