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Elena-2011 [213]
3 years ago
15

A payroll department addresses five paychecks and envelopes to five different people and randomly inserts the paychecks into the

envelopes. What is the probability that (a) exactly one paycheck is inserted in the correct envelope and ( b ) at least one paycheck is in the correct envelope?
Mathematics
1 answer:
Zinaida [17]3 years ago
3 0

Answer:

(a) the probability of exactly one paycheck inserted correctly is \frac{1}{5}

(b) at least one paycheck inserted correctly is \frac{1}{5}-0=\frac{1}{5}

Step-by-step explanation:

A paycheck is a document issued by an employer to pay an employee.

Probability is the likelihood of an event happening or not happening.

probability is given as the possible outcome over the expected outcome.

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The vertices of a rectangle are given in the columns of the matrix (picture 1).
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Answer:

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Step-by-step explanation:

∵ The vertices of the rectangles are:

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3 years ago
What is the area of the 50ft by 100ft yard?
mario62 [17]

Answer: 4410 ft^2

Step-by-step explanation:

To find the area of a square or rectangle, all you need to do is multiply the length times the width:

L × W = A

The lengh is 100, and the width is 50

100 × 50 = 5000

However, in this problem, we also have other shapes in the rectangle. To find the area of JUST the green, we need to subtract the areas of the two circles and small blue rectangle.

First, let's get the two circles over with. To find the area of a circle, use this formula:

A = πr^2      r is the radius, which in this case, is 6

A = π6^2

A = 113       This isn't the exact answer, the exact answer would be 113.0973...

Now let's multiply the area of one of those circles by 2, since we have 2 circles:

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Finally, we have to find the area of the blue rectangle. This is simple, just use the formula from the very beginning:

26 × 14 = 364

The last thing to do is to subtract the areas of the two circles and blue rectangle from the area of the entire thing:

5000 - (226 + 364) = 4410 ft^2

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Solve this quadratic inequalitie with detailed full explanation
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x^2\leq16\\x\leq 4 \wedge x\geq -4\\x\in\langle-4,4\rangle

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see attachment

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