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yawa3891 [41]
3 years ago
12

When a series of events takes place, each with a fixed number of possible values, the total number of possible outcomes is the _

____ of the number of values of each event.
Mathematics
1 answer:
zalisa [80]3 years ago
6 0

When a series of events takes place, each with a fixed number of possible values, the total number of possible outcomes is the product of the number of values of each event. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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If cosx=1/12 and sinx>0 find tan2x
Liono4ka [1.6K]
cosx=\frac{1}{12}\\\\sin^2x+cos^2x=1\\\\sin^2x+\left(\frac{1}{12}\right)^2=1\\\\sin^2x+\frac{1}{144}=1\\\\sin^2x=1-\frac{1}{144}\\\\sin^2x=\frac{144}{144}-\frac{1}{144}\\\\sin^2x=\frac{143}{144}\\\\sinx=\sqrt\frac{143}{144}\\\\sinx=\frac{\sqrt{143}}{12}


tan2x=\frac{sin2x}{cos2x}\\\\sin2x=2sinxcosx;\ cos2x=cos^2x-sin^2x\\\\sin2x=2\cdot\frac{\sqrt{143}}{12}\cdot\frac{1}{12}=\frac{2\sqrt{143}}{144}\\\\cos2x=\left(\frac{1}{12}\right)^2-\left(\frac{\sqrt{143}}{12}\right)^2=\frac{1}{144}-\frac{143}{144}=-\frac{142}{144}\\\\tan2x=\frac{2\sqrt{143}}{144}:\left(-\frac{142}{144}\right)=-\frac{2\sqrt{143}}{144}\cdot\frac{144}{142}=-\frac{\sqrt{143}}{71}
3 0
3 years ago
David has a wooden board that is 6 feet long. How many pieces can be cut from the board if the length of each piece is 13 of a f
balandron [24]

Answer:

We are dividing a slab of wood into equal pieces, so the obvious function would be to divide. And how long are the pieces going to be? 1/4 of a foot. so that gives us:

6 ÷ ¼.

Now, when we divide by a fraction, we flip the numerator and denominator and multiply, so the equation will look like:

6 * 4

Solve that, and you'll have your answer.

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

7 0
3 years ago
A recent study was conducted to determine the percentage of children who spend at least one hour per week playing video games. T
Ksenya-84 [330]

Answer:

you have to add the graph.

4 0
3 years ago
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Hilda has deposited $874 in a savings account that earns interest at a rate of 3.2% compounded quarterly. What will the account
Fantom [35]
The formula is
A=p (1+r/k)^kt
A future value?
P present value 874
R interest rate 0.032
K compounded quarterly 4
T time 7 years
A=874×(1+0.032÷4)^(4×7)=1,092.46
7 0
3 years ago
I need help i dont get it
Sindrei [870]

Answer:

area of them are 18

18 × 10 is 180

180 does not equal 1800

Carmen is wrong

7 0
3 years ago
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