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2 years ago

15

Hannah selects a marble randomly from a jar containing 11 green, 5 yellow, and 4 red marbles. Develop a probability model based

on theoretical probability

1 answer:

alekssr [168]2 years ago

6 0

55%green25%yellow20%red

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Anestetic [448]

Answer:

5 pounds

Step-by-step explanation:

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Graph the following equation.<br> y + 2 = -2/3(x-4)

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just go on desmos.com

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2 years ago

Evaluate the integral ∫2−1|x−1|dx

defon

I think you might be referring to the definite integral,

$\displaystyle \int_{-1}^2|x-1|\,\mathrm dx$

Recall the definition of absolute value:

$|x| = \begin{cases}x&\text{if }x\ge0\\-x&\text{if }x$

Then $|x-1|=x-1$ if $x\ge1$ , and $|x-1|=1-x$ is $x$ . So spliting up the integral at <em>x</em> = 1, we have

$\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \int_{-1}^1(1-x)\,\mathrm dx + \int_1^2(x-1)\,\mathrm dx$

The rest is simple:

$\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \left(x-\dfrac{x^2}2\right)\bigg|_{-1}^1 + \left(\dfrac{x^2}2-x\right)\bigg|_1^2 \\\\ = \left(\left(1-\frac12\right)-\left(-1-\frac12\right)\right) + \left(\left(2-2\right)-\left(\frac12-1\right)\right) \\\\ = \boxed{\frac52}$

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3 years ago

Is my answer correct?

Alexandra [31]

Yes your answer would be correct! :)

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3 years ago

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I need help fast .....

gizmo_the_mogwai [7]

Answer:

(0,6)

Step-by-step explanation:

So x=0, so plug in 0 for x. 5(0) + 6 - (0)^2 = 6

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3 years ago