A rope is stretched from the top of a 60 feet pole to a point on the ground 11 feet away from the base of the pole. What is the length of the rope?

Answers

Answer 1

Answer: you'd use the equation a^2 + b^2 = c^2 (**** ^2 means squared****)

a = 60

b = 11

c = ?

60^2 + 11^2 = c^2

3600 + 121 = c^2

3721 = c^2

then just square root 3721 and c^2

c = 61 feet

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A group of Physicians must build an addition to their existing private clinic. They are considering three different sized additions; a small addition, a medium addition and a large addition. If the medical demand is high (there is a favorable market for the addition) they would realize a net profit of $100,000 with a large addition, a net profit of $40,000 with a medium addition and a net profit of $10,000 with a small addition. If the medical demand is low (there is an unfavorable market for the addition) they would realize a net loss of $40,000 with the large addition, a net loss of $10,000 with the medium addition and a net profit of $5,000 with the small addition. The Physicians were also able to assign the following utility preference values to each of the potential payoffs they could encounter. Utility of $100,000 is 1.0, U ($40,000) is 0.9, U ($10,000) is 0.6, U ($5,000) is 0.5, U ($-10,000) is 0.4, and U ($-40,000) is 0.0. The physicians also have a reliable forecast indicating a 40% probability of the high medical demand. Using expected monetary value theory, what should they do and what is the expected value of that decision? Using expected utility theory, what should they do and what is the expected utility of that decision?

Answers

Therefore , the solution of the given problem of probability comes out to be the medium addition because it has the greatest expected utility (0.72).

What is probability, exactly?

The primary goal of the structures within a methodology expression known as criteria is to provide an indication of the probability that the assertion is true or that a specific event will occur. Any number between zero and one, at which 0 is frequently indicated as a possibility and 1 has frequently used to denote a level of confidence, can be used to represent chance. The chance that a specific event will occur is displayed in a probability diagram.

Here,

The following formula can be used to determine each option's anticipated financial value:

=> EMV of big addition = (0.4 * $100,000) plus (0.6 * -$40,000) for a total of $16,000.

=> EMV of the middle addition is

= (0.4 * $40,000) plus (0.6 * -$10,000) for a total of $14,000.

=> EMV of a minor addition = (0.4 * 10,000) plus (0.6 * 5,000), which equals $6,000

The large addition should be chosen by the physicians as it has the greatest expected financial value of $16,000.

dividing each outcome's usefulness value by its likelihood, then adding the results:

=> (0.4 * 1.0) + (0.6 * 0.0) = 0.4 is the EU of the big addition.

=> (0.4 * 0.9) + (0.6 * 0.6) = 0.72 is the EU of medium addition.

Smaller EU = (0.4 * 0.5) + (0.6 * 0.6) = 0.58

The doctors should choose the medium addition because it has the greatest expected utility (0.72), according to expected utility theory.

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List all the subset of set G = { p,g }
help me ASAP!

Answers

the set G has two members, so we can do only tow subsets from G, those are {p}, {g}

Which of the following options best describes the function graphed below?A graph shows a slanting straight line that starts at the origin and goes up.
Nonlinear increasing Nonlinear decreasing Linear increasing Linear decreasing I believe the answer is C. but I also think its D but I'm seriously stuck

Answers

Answer:

The graph of the function is:

Linear increasing.

Step-by-step explanation:

We are given a graph such that it is a slanting straight line.

This means that the relationship is linear.

Also the graph starts at origin and goes up.

This means that the graph of the function is continuously increasing.

Hence, the option that best describes the function graphed is:

Linear increasing.

It is going to be : Linear increasing (C)

A solution containing 30% insecticide is to be mixed with a solution containing 50% insecticide to make 200 L of a solutions containing 42% insecticide. How much of each solution should be used?

Answers

Let x L of solution 1 is used
and 2nd solution is (200-x)L

According to question,
30% of x + 50% of (200-x) = 42% of 200L
0.3x + 0.5(200-x) = 84
0.3x - 0.5x + 100= 84
0.2x = 16
x=80

Therfore 80L of solution 1 and 120L of solution 2 is mixed.

Compared to its parent function the transformation of the following : y= -3x - 3 + 4a) reflected respect to x-axis, stretched vertically, moved 3 to the left and 4 up

b) stretched horizontally, moved 3 to the right and 4 up

c) reflected with respect to x-axis, stretched vertically, moved 3 to the right and 4 up

d) stretched horizontally, moved 3 to the left and 4 down

Answers

The answer is B
Hope it helps!!

PLEASE HELP FAST!!!Which quadratic function contains the ordered pairs (−1,4), (0,3), and (1,4)?

Answers

Answer:

The 1st one

Step-by-step explanation:

I would explain but you said u need help fast

The first one

It is correct

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