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RSB [31]
4 years ago
12

Exercise 2.66. You are given a fair die. You must decide ahead of time how many times to roll. If you get exactly 2 sixes, you g

et a prize. How many rolls should you take to maximize your chances and what are the chances of winning
Mathematics
1 answer:
AlekseyPX4 years ago
3 0

Answer:

The number of rolls  = 36

Step-by-step explanation:

Thinking process:

A die has six sides (6).

Thus, the probability of striking a 6 is \frac{1}{6}

Let the number or sixes be 2

The number of roles for the die is given the following: (6)^{n} where n is the number of sixes needed.

Therefore, the number of roles needed = (6)^{2}  = 36

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3 years ago
NEEED HELPPP !!!!!!!!!!
serious [3.7K]

Answer:

X + 7 + 2x + 19 = 35

Add like terms

3x + 26 = 35

-26          -26

3x = 9

/3   /3

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3 0
3 years ago
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
defon

Answer:

Price of widget to break even= $37.9

Step-by-step explanation:

We are told that the equation representing the amount of profit, y, made by the company, in relation to the selling price of each widget, x is;

y = -8x² + 348x - 1705

Now, the company will break even when it has made no profit. That is when, y = 0

Thus;

0 = -8x² + 348x - 1705

Rearranging,

8x² - 348x + 1705 = 0

Using quadratic formula ;

x = [-b ± √(b² - 4ac)]/2a

x = [-8 ± √(-348² - 4•1•1705)]/(2 x 8)

x = $5.63 or $37.87

We'll use $37.87 because it is the highest price for which no profit is made, and higher price means that we could sell least number of products to earn a certain amount of money.

We are told to approximate to nearest cent. Thus,

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7 0
4 years ago
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