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Dmitry_Shevchenko [17]
2 years ago
8

You roll a die 60 times how many times do you expect to roll a factor of 12

Mathematics
1 answer:
Paladinen [302]2 years ago
8 0

Answer:

Just for fun, the probability of rolling a die 60 times and getting no ones is

(600)(5/6)60=0.0018% .

Step-by-step explanation:

This 10 ones is the value with the highest probability of occurring. It has a probability of  (6010)(1/6)10∗(5/6)50≈13.7% .

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The cooler is filled with different juices there are 24 bottles of juice six orange juice four apple juice two cranberry juice a
patriot [66]
There would be 22 juices left in total, 5 oranges juice and 3 apple juice will be left, . But hope it helps
7 0
3 years ago
The maximum value of 12 sin 0-9 sin²0 is: -​
jeka57 [31]

Answer:

4

Step-by-step explanation:

The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)

If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0

However, I will assume you meant the angle to be \theta rather than 0 which makes sense and proceed accordingly

We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0

The original function is

f(\theta) = 12sin(\theta) - 9 sin^2(\theta)

Taking the first derivative of this with respect to \theta and setting it equal to 0 lets us solve for the maximum (or minimum) value

The first derivative of f(\theta) w.r.t \theta is

                        12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right)

And setting this = 0 gives

12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right) = 0

Eliminating cos(\theta) on both sides and solving for sin(\theta) gives us

sin(\theta) = \frac{12}{18} = \frac{2}{3}

Plugging this value of sin(\theta) into the original equation gives us

12(\frac{2}{3}) - 9(\frac{4}{9} ) = 8 - 4 = 4

This is the maximum value that the function can acquire. The attached graph shows this as correct

3 0
2 years ago
2c - 4p> -6 and 3c + 1 < 13
mel-nik [20]

what do you have to do???

5 0
3 years ago
The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate ar
Marina CMI [18]

Answer: 35 square centimeters

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help 10 points
KIM [24]

Answer:

SAS triangle because a SAS stands for side angle side that's how u always know

5 0
3 years ago
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