MATHEMATICS HIGH SCHOOL

Ach Sunday, Mario weighs himself. Here are his weight changes over a 4-week period. Week 1 2 3 4 Weight Change –1.8 +0.9 –1.4 +0.4 How much has Mario's weight changed over the entire 4 weeks?a. 4.5 pounds
b. –1.9 pounds
c. –4.5 pounds
d. 1.9 pounds

Answers

Answer 1
Answer: B. All you do is -1.8 + 0.9 - 1.4 + 0.4, and you get -1.9   And if  you want to see for your self just open a new tab on google and type in the numbers like the format i put it in and google calculator will give you the answer!

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Let u = w² ≥ 0 . (a) Compute the exact risk premium if initial wealth is 4 and if a decision maker faces the lottery (-2, 1/2 ; +2, 1/2 ). Explain why the risk premium is negative.

Answers

Answer:

The risk premium is positive, indicating a preference for certainty over risk.

Step-by-step explanation:

The risk premium is a measure of how much someone is willing to pay to avoid a risky situation or to insure against potential losses. It is the difference between the expected value of a gamble (or lottery) and the guaranteed (certain) outcome.

In this case, you're dealing with a decision maker who has initial wealth of 4 and faces the following lottery:

   Option A: A loss of 2 with a probability of 1/2

   Option B: A gain of 2 with a probability of 1/2

Let's calculate the expected value of this lottery:

Expected Value (EV) = (Probability of Option A) * (Value of Option A) + (Probability of Option B) * (Value of Option B)

EV = (1/2) * (-2) + (1/2) * (2)

EV = -1 + 1

EV = 0

The expected value of this lottery is 0. This means that, on average, the decision maker doesn't expect to gain or lose wealth; it's a fair game in terms of expected value.

Now, to calculate the risk premium, we compare this lottery to a certain outcome. In this case, the certain outcome is keeping the initial wealth of 4.

Risk Premium = Guaranteed Outcome - Expected Value of Lottery

Risk Premium = 4 - 0

Risk Premium = 4

The risk premium is 4, which means that the decision maker is willing to pay up to 4 to avoid taking this lottery. This is because the lottery is a risky proposition, and the decision maker values the certainty of keeping their initial wealth at 4 over the gamble, even though, on average, the gamble doesn't result in a gain or loss. Therefore, the risk premium is positive, indicating a preference for certainty over risk.

How would I do this problem. It says to solve and check 5/k? -6?= -3

Answers

You would first move the 6 onto the other side by adding it. Then you would end up doing -3+6 which is 3. Then your equation will look like: 5/k=3. You would then do opposite operation again to the 5 this time. You do the opposite of dividing, so multiplying. You multiply the 5 on both sides which you would end up doing 5 x 3 which is 15. Your equation will then be looking like k=15. To check if you did it right, just simply plug in the 15 as k. So the equation to check should look like this: 5/15-6=3. Solve it, and you should end up as the answer being equal to 3.

Mrs. Stephens drove through a total of 36 intersections on her way home. At 4 of every 16 intersections, she had to stop for a red light before she could drive through. Had how many interceptions did she have to stop for a red light?

Answers

Hello The answer would be 9

Steps

1- 36 divided by 4
2- you should get 9
3- 9 is the final answer

Hope I Helped

13. John and Jane ate lunch at a local restaurant and wanted to divide the bill evenly. Thebill for the food was $8.70, plus 2 sodas for $0.75 each, including tax. How much
money back should just John receive if he pays for his half with a $20 bill?

Answers

John will receive $9.80 back

A man of weight W is standing on a lift which is moving upward with an acceleration a. The apparent wieght of the man is

Answers

See, I think the new weight would be:
W1 = m(g + a) = mg + ma = W + ma = W + (W/g)a
about 85 pounds I think

What is the slope of the line whose equation is 12= 4x-6y

Answers

Answer:

The slope of the line is 2/3.

Step-by-step explanation:

In order to find the slope of the line with the equation 12 = 4x - 6y, we need to rearrange the equation into slope-intercept form, which is y = mx + b, where m is the slope.

First, let's isolate y on one side of the equation:

\large\begin{aligned} 12 &= 4x - 6y \n 6y &= 4x - 12 \n y &= (4)/(6)x - (12)/(6) \n y &= (2)/(3)x - 2 \end{aligned}

Now we can see that the slope is 2/3.

Answer: m = -2/3

Step-by-step explanation:

We are asked to calculate the slope of the following line:

\longrightarrow\quad\sf{12=4x-6y}

But before we start, let's rearrange our equation. We'll write it in slope intercept form.

So first, we write it this way:

\longrightarrow\quad\sf{4x-6y=12}

Next, we subtract 4x from both sides:

\longrightarrow\quad\sf{-6y=12-4x}

Next, divide both sides by -6:

\longrightarrow\quad\sf{y=\cfrac{12}{-6}-\cfrac{-4x}{-6}}

\longrightarrow\quad\sf{y=-2-\cfrac{4}{6}x}

\longrightarrow\quad\sf{y=-\cfrac{2}{3}x-2}

Our equation is now in slope-intercept form. The next step is to find the slope, which is the number in front of x. In this case, this number is -2/3.

Therefore, the slope is -2/3.
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