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marishachu [46]

3 years ago

7

A jar of candy has 6 cinnamon, 5 peppermint and 7 spearmint candies in it. Your pick three pieces of candy out of the jar at the

same time. What is the probability that one is cinnamon and two are peppermint?

1 answer:

Sedbober [7]3 years ago

4 0

Cinnamon - 1/18
peppermint- 2/18

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Area of the parallelogram? 308 meters squared

Ainat [17]

The formula to find the area of a parralogram is base x height. the base is 39 and the height is 8! Now all you have to do it multiply. So you’re final answer is 312! Don’t listen to the other person they just wanted the points! Answer: 312 !

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2 years ago

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Best of three In a best out of three series played between teams A and B, the team that gets two wins first wins the entire seri

konstantin123 [22]

Answer:

a) P (x = 2 games ) = 0.49 + 0.09 = 0.58

P ( x = 3 games ) = 0.063 + 0.147 + 0.147 + 0.063 = 0.42

b) = 2.42 ≈ 2 games

c) P (x = 2 games ) = 0.49 + 0.09 = 0.58

Step-by-step explanation:

Team A chance of winning a game in the series. P( team A ) = 70% = 0.7

P ( team B ) = 0.3

probability of series ending after two games = 58% = 0.58

<u>A) Determine the probability distribution of X number of games played in the series</u>

First we have to consider the possible combinations that will decide the series and they are

( A,A ) , ( B,B) , ( A,B,B) , ( A,B,A ) , ( B,A,A ), ( B,A,B) = 6 Combinations

( A,A ) = 0.7 * 0.7 = 0.49

( B,B ) = 0.3 * 0.3 = 0.09

( A,B,B ) = 0.7 * 0.3 *0.3 = 0.063

( A,B,A ) = 0.147

( B,A,A ) = 0.147

( B,A,B ) = 0.063

The distribution of the games in the series can be either game or three games before the end of the series

P (x = 2 games ) = 0.49 + 0.09 = 0.58

P ( x = 3 games ) = 0.063 + 0.147 + 0.147 + 0.063 = 0.42

<u>B) the expected number of games to be played </u>

∑ x(Px) = ( 2 * 0.58 ) + 3 ( 0.42 ) = 2.42 ≈ 2 games

<u>C) Verify that the probability that series ends after two games = 58%</u>

sample space of all possible sequences of wins and losses

( A,A ) , ( B,B) , ( A,B,B) , ( A,B,A ) , ( B,A,A ), ( B,A,B) = 6 Combinations

( A,A ) = 0.7 * 0.7 = 0.49

( B,B ) = 0.3 * 0.3 = 0.09

( A,B,B ) = 0.7 * 0.3 *0.3 = 0.063

( A,B,A ) = 0.147

( B,A,A ) = 0.147

( B,A,B ) = 0.063

hence :

P (x = 2 games ) = 0.49 + 0.09 = 0.58

6 0

2 years ago

The manager of a company uses the function shown to model the company’s daily profit based on the price of a product in dollars,

just olya [345]

Answer: 1) The minimum price, in dollars, to avoid a loss = 22,

2) the maximum price in dollars , to avoid a loss = 53,

3) The price that results the maximum profit = 37.5 dollars

Step-by-step explanation:

Since the given function that shows the total profit,

$f(x) = (x-22)(53-x)$

Where x is the price of the product.

Since for avoiding the loss,

$f(x) \geq 0$ ,

⇒ $(x-22)(53-x)\geq 0$

If $(x-22)\geq 0 \implies x\geq 22$

If $53 - x \geq 0 \implies 53 \geq x$

Thus, 53 ≥ x ≥ 22,

Therefore, the minimum price to avoid the loss = $ 22

And, the minimum price to avoid the loss = $ 53

$f'(x) =\frac{d}{dx}[(x-22)(53-x)] = (x-22)\frac{d}{dx} (53-x)+(53-x) \frac{d}{dx}(x-22)$

⇒ $f'(x) = - (x-22)+(53-x) = -x+22+53-x =-2x+75$

Now, For maximum or minimum,

$f'(x) = 0$ ,

⇒ $-2x+75 = 0$

⇒ $-2x = -75$

⇒ $x = 37.5$

$f''(x) = \frac{d}{dx}(-2x+75)=-1$

For x = 37.5, f''(x) is negative,

Thus, For the price of $ 37.5 dollars the company has the greatest profit.

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3 years ago

Which of the following lists is not in order from smallest to largest?

otez555 [7]

Answer: 2.33, 1.87, 3.6, 7.1

Step-by-step explanation:

2.33, 1.87, 3.6, 7.1 is not arranged from smallest to the largest. Arranging the number will be 1.87, 2.33, 3.6, 7.1.

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3 years ago

Plot the following points by hand or using an online graphing calculator. What is the function that best fits the points?

Nastasia [14]

Answer:

Linear

Step-by-step explanation:

The trend is a straight line so linear

The trend is not parabola type so not quadratic

The general equation is

y=mx+b
The equation of line is y=3x-5

3 0

2 years ago

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