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Natasha2012 [34]
3 years ago
11

Gabriel has these cans of soup in his kitchen cabinet. • 2 cans of tomato soup • 3 cans of chicken soup • 2 cans of cheese soup

• 2 cans of potato soup • 1 can of beef soup Gabriel will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of tomato soup and then a can of cheese soup? Mathematics
Mathematics
1 answer:
Vikentia [17]3 years ago
8 0
2/10 (or 1/5 ) Times 2/10 (or 1/5)
This will equal a 1 out of 25 chance.

You take the number of items you are looking for ( for example, 2 Tomato Cans) Divided by the total items you have (All 10 cans that are a possibility). Then you take your probabilities, and multiply them.
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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

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Line w passes through the points (-2, 3) and (3, 13) . What<br> is the y-intercept of the line w?
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3 years ago
Benny thinks of a number, subtracts 18 from it, and divides the difference by 3, the result is (-4). What is the number?
White raven [17]

Answer:

n=6

Step-by-step explanation:

(n-18)/3 = -4

multiply by 3

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Answer:

¿Qué quieres que te responda?

Step-by-step explanation:

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