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Natasha2012 [34]
1 year ago
8

If events A and B are independent, and the probability that event A occurs is 83%, what must be true?

Mathematics
1 answer:
dexar [7]1 year ago
5 0

Answer:

The true statement about the given conditional Probability is; The probability that event A occurs, given that event B occurs, is 83%.

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Select the correct solution set.<br> X + 17&lt;-3
madam [21]

Answer:

you didn't add the solution sets

Step-by-step explanation:

8 0
2 years ago
Calculate the total area of the shaded region.
LUCKY_DIMON [66]

so hmmm seemingly the graphs meet at -2 and +2 and 0, let's check

\stackrel{f(x)}{2x^3-x^2-5x}~~ = ~~\stackrel{g(x)}{-x^2+3x}\implies 2x^3-5x=3x\implies 2x^3-8x=0 \\\\\\ 2x(x^2-4)=0\implies x^2=4\implies x=\pm\sqrt{4}\implies x= \begin{cases} 0\\ \pm 2 \end{cases}

so f(x) = g(x) at those points, so let's take the integral of the top - bottom functions for both intervals, namely f(x) - g(x) from -2 to 0 and g(x) - f(x) from 0 to +2.

\stackrel{f(x)}{2x^3-x^2-5x}~~ - ~~[\stackrel{g(x)}{-x^2+3x}]\implies 2x^3-x^2-5x+x^2-3x \\\\\\ 2x^3-8x\implies 2(x^3-4x)\implies \displaystyle 2\int\limits_{-2}^{0} (x^3-4x)dx \implies 2\left[ \cfrac{x^4}{4}-2x^2 \right]_{-2}^{0}\implies \boxed{8} \\\\[-0.35em] ~\dotfill

\stackrel{g(x)}{-x^2+3x}~~ - ~~[\stackrel{f(x)}{2x^3-x^2-5x}]\implies -x^2+3x-2x^3+x^2+5x \\\\\\ -2x^3+8x\implies 2(-x^3+4x) \\\\\\ \displaystyle 2\int\limits_{0}^{2} (-x^3+4x)dx \implies 2\left[ -\cfrac{x^4}{4}+2x^2 \right]_{0}^{2}\implies \boxed{8} ~\hfill \boxed{\stackrel{\textit{total area}}{8~~ + ~~8~~ = ~~16}}

7 0
2 years ago
A rectangle has a perimeter of (20x+12y). If one side of the rectangle is (3x-4y), write the expression for the other side
Nady [450]

Answer:

(7x + 10y)

Step-by-step explanation:

To find this add (3x - 4y) to itself to calculate to lengths of the shorter sides.

(3x - 4y) + (3x - 4y) = 6x - 8y

Subtract this from (20x + 12y)

(20x + 12y) - (6x - 8y) = 14x + 20y     Divide this by two to get the length of one side

14x + 20y / 2 = 7x + 10y

If this answer is correct, please make me Brainliest!

3 0
3 years ago
This makes no sense, help pls
stiv31 [10]

Please mark me branliest!

**Answer**

16 if you want exact, 20 if you want a little over.

**Explanation**

So check this... it's $50 per student that attends the camp, right?

(Nod if you're with me.)

The dude buys 5 dozen donuts for 16 days. 50 x 16 = 800

5 dozen is the same as 50 donuts.

You multiply to get the total amount of donuts he buys in the total days (16).

Each 10 donuts costs 10 dollars.

If the dude buys 800 donuts it cost him $800.

And it costs 50 dollars for someone to go to camp.

So you divide 800/50 = 16 students

Now the problem says "In order to break even" I'm not sure what that means. But I'm assuming it doesn't want 16 then, because the price of 16 students would be the same (even) as the price of donuts that Mr. Brook buys. In that case it would be 20.

You are very welcome!!

8 0
3 years ago
16 POINTS!!! HELP ASAP
nadya68 [22]

Answer:

The answer is 358.01

Step-by-step explanation:

Given:

3\times 10^{2}+5\times 10^{1}+8\times 10^{0}+1\times \frac{1}{10^{2}}

Now, to solve first we crack the power notation then multiply and then do the addition:

3\times 100+5\times 10+8\times 1+1\times \frac{1}{100}

(The value of 10^{1} is 10 and the value of 10^{0} is 1.)

=300+50+8+\frac{1}{100}

=300+50+8+0.01

=358.01.

Therefore, the answer is 358.01 .

7 0
3 years ago
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