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2 years ago

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You pay $8 to play the following game of chance. There is a bag containing 15 balls, 7 are red, 6 are green and the rest are yel

low. You will win $14 if you draw a yellow ball, and $11 if you draw a green ball. What is the expected value of the game?

2 answers:

Karolina [17]2 years ago

5 0

Answer:

$11.

Step-by-step explanation:

first: 15 balls. 7 are red, 6 are green, rest are yellow, That means there are 2 yellow balls.

last: there are more greens than yellows, you have a better chance of getting a green. So, you have a better chance of getting $11.

MARK ME BRAINLIEST.

notka56 [123]2 years ago

3 0

Answer:

Green ball. $11

Step-by-step explanation:

Let's see.

15 balls. 7 are red. 6 are green. rest are yellow. That means there are 2 yellow balls.

Since there are more greens than yellows, you have a better chance of getting a green. That means you have a higher chance of getting $11

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The denominator of a certain fraction was 147 greater than its numerator. what was the denominator of this fraction, if after th

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After reducing the fraction it becomes equal to 5/12. Let the common element which was cancelled out be x. So we can say the original fraction was $\frac{5x}{12x}$ .

The denominator of the fraction is 147 greater than the numerator. We can write it as:

12x = 147 + 5x

12x - 5x = 147

7x = 147

x = 21

So, the numerator of the fraction was 5 x 21 = 105
Denominator of the fraction was 12 x 21 = 252

So our original fraction was $\frac{105}{252}$

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2 years ago

Which graph represents y=3 sqrt x+2

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Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y=3\sqrt{x+2}$

Remember that the radicand must be greater than or equal to zero

so

$x+2\geq 0$

solve for x

subtract 2 both sides

$x\geq -2$

The domain is the interval [-2,∞)

All real number greater than or equal to -2

For x=-2

$y=3\sqrt{-2+2}=0$

so

The range is the interval [0,∞)

All real number greater than or equal to 0

Find the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero

For x=0

$y=3\sqrt{0+2}$

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$y=4.243$

The y-intercept is the point (0,4.243)

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2 years ago

What is the factored form of the binomial expansion 125x^3 + 525x^2 + 735x + 343?

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Answer:

Step-by-step explanation:

1. regroup terms

$125x^3+343+525x^2+735x$

2. Rewrite $125x^3$ as $(5x)^3$ and 343 as $7^3$

$(5x)^3+7^3+525x^2+735x$

3. Since both terms are perfect cubes, factor using the sum of cubes formula, $a^3+b^3 = (a+b)(a^2-ab+b^2)$ , where $a=5x$ and $b=7$

$(5x+7)((5x)^2-(7)(5x)+(7)^2)+525x^2+735x$

$(5x+7)(25x^2-35x+49)+525x^2+735x$

4. Factor $105x$ out of $525x^2+735x$

$(5x+7)(25x^2-35x+49)+105x(5x+7)$

5. Regroup

$(5x+7)(25x^2-35x+49+105x)$

$(5x+7)(25x^2+70x+49)$

6. Factor again

$(5x+7)(5x+7)^2$

$(5x+7)^3$

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