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lorasvet [3.4K]
3 years ago
15

Please Help! I'm stuck!

Mathematics
1 answer:
atroni [7]3 years ago
8 0

Answer:

See attached image

Step-by-step explanation:

If you have two marbles in a bag and you are choosing the marbles randomly twice, then we can look at fractions.

Each time, you have a 0.5 chance of picking the silver marble. After you pick that, you have another 0.5 chance of picking the silver marble again.

This applies with any combination.

This means that the probability of you getting two silvers in a row is 0.25.

Since the marbles are the same size and nothing is stopping you from choosing one, this probability applies to all combinations possible.

Hope this helped!

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3. Here is a list of exam scores for Mr. Kraft's calculus class:
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A gardener has 520 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe
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The shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

<h3>What dimensions would guarantee that the garden has the greatest possible area?</h3>

The given parameter is

Perimeter, P = 520 feet

Represent the shorter side with x and the longer side with y

One side of the garden is bordered by a river:

So the perimeter is:

P = 2x + y

Substitute P = 520

2x + y = 520

Make y the subject

y = 520 - 2x

The area is

A = xy

Substitute y = 520 - 2x in A = xy

A = x(520 - 2x)

Expand

A = 520x - 2x^2

Differentiate

A' = 520 - 4x

Set to 0

520 - 4x = 0

Rewrite as:

4x= 520

Divide by 4

x= 130

Substitute x= 130 in y = 520 - 2x

y = 520 - 2 *130

Evaluate

y = 260

The area is then calculated as:

A = xy

This gives

A = 130 * 260

Evaluate

A = 33800

Hence, the shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

Read more about area at:

brainly.com/question/24487155

#SPJ1

7 0
1 year ago
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