(1) You are given 2 choices:
(a) getting $500,000 tax-free for sure, and (b)taking a chance on a gamble that has a probability p of getting $1 million tax-free and probability 1-p of getting nothing. Clearly, if probability p is 100% in the gamble, as a rational and sane person, you will choose the gamble because you will have a 100% chance of getting $1 million; on the other hand, if p is 0%, you will choose $500,000 for sure. Now, by gradually reducing the probability p of getting $1 million in the gamble from 100% towards 0, find the probability p* for you will feel choice
(b) has about the same degree of attractiveness or desirability as (a) to you. Use p* to compute your utility of $500,000.
(2) Repeat (1) by changing choice (a) to getting $200,000 tax-free for sure. Note: the probability p* for the case will generally be smaller than the one for (1).

Answer: I think it B (130)

Step-by-step explanation: .........

Answer:

it is either A OR B

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

As in right triangle, the other two angles sum up equal to 90 degree, so 6x + 15 + 33 = 90, then solve for x, 6x = 90 - 15 - 33 = 42, then x = 7.

{362- {6x3+(48/2) x2]}+3(9+4)

{362- {6x3+24 x2]}+3(9+4)

{362- 66+3(9+4)

{362- 66+3(9+4)

{296+3(13)}

(296+39)

335

hope this help you

have a good day

Answer:

Step-by-step explanation:

Solving with one operation at each step:

Answer:

7610 m

Step-by-step explanation:

600m = 600m

7km = 7000m

1000cm = 10m

The required distance = 600 + 7000 + 10 = 7610 m

Answer:

A.

Step-by-step explanation:

I'm pretty sure that's right.

Answer:

Step 2

Step-by-step explanation:

Step 2 b/c [tex]4\frac{1}{8}[/tex] = [tex]\frac{33}{8}[/tex]

Answer:

2

Step-by-step explanation:

Answer:

8x-20

Step-by-step explanation:

Use the distributive property. Multiply 4 by 2x. Multiply 4 by -5.

Answer:

Part a) The area of the figure is [tex]\frac{9}{2} (4+\pi ) cm^{2}[/tex]

Part b) The perimeter of the figure is [tex]3(2+2\sqrt{2} +\pi )cm[/tex]

Answer is 103

- took the test on edge!

- Have a good day :)

answer:

we reject null and conclude that this manufacturers claim is false

Step-by-step explanation:

p = 30% = 0.30

p^ = 93/150 = 0.62

we state the hypothesis

H0: p = 0.30

h1: p not equal to 0.30

we find the z test stattistics

[tex]z=\frac{p^--p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]

[tex]z=\frac{0.62-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }[/tex]

[tex]z=\frac{0.32}{\sqrt{\frac{0.30*0.70}{150} } }[/tex]

[tex]z=\frac{0.32}{0.03741}[/tex]

z = 8.5538

at alpha = 0.05

z-critical = Z₀.₀₅/₂ = Z₀.₀₂₅

= 1.96

we compare z critical with the test statistic

z statistic > z critical so we have to reject H₀ and conclude that the manufacturers claim is not valid at 0.05 level of significance.

Answer:

b. Timeliness, Assurance, Needs, Reliability and Empathy.

Step-by-step explanation:

The customer rating is necessary for a business to improve its performance. A company will be able to improve its customer service based on customer reviews and feedback. The feedback of the customers is important in terms of service provision whether they rate the company based on responsiveness to the queries, timeliness of query resolution and other similar criteria.

Answer:

6 of his class are girls

Step-by-step explanation:

24/4=6

Answer:

111.4

Step-by-step explanation:

trust

Answer:

See Explanation

Step-by-step explanation:

Given

See attachment

Solving (1): What is asked

The requirement of the question is to determine the difference between the amount of sugar used between yesterday and today

Solving (2): The given facts

[tex]Yesterday = \frac{9}{10}kg[/tex]

[tex]Today = \frac{3}{5}kg[/tex]

Solving (3): Operation to be used

We use subtraction operation

Solving (4): The mathematical sentence

[tex]D = Yesterday - Today[/tex]

[tex]D = \frac{9}{10}kg - \frac{3}{5}kg[/tex]

D represents the difference

Solving (5): The solution

[tex]D = \frac{9}{10}kg - \frac{3}{5}kg[/tex]

Take LCM

[tex]D = \frac{9 - 6}{10}kg[/tex]

[tex]D = \frac{3}{10}kg[/tex]

Answer:

y=2x-3

Step-by-step explanation:

First we find the y-intercept of this graph whic in this case is -3. Then we plot two pints on the graph and caculate the rise over run which is 2/1=2. Finally, we get the equation- y=2x-3.

Answer:

b

Step-by-step explanation:

gravity

Answer:

459

Step-by-step explanation:

because 3^5 is 243 and 6^3 is 216 then add up 243+216=459

Answer:

In 5 hours, he will go 3 ¾ kilometers far.

Step-by-step explanation:

Answer:

1st step

Step-by-step explanation:

7/10 is greater than 1/2

Answer:

Step 1

Step-by-step explanation:

Answer:

Answer:

81986088

its even

Step-by-step explanation:

just look it up on your search bar? Im confused on what your asking. Sorry if  I answered wrong

Answer:

The answer is "[tex]\bold{r=9, \lambda=\frac{1}{2}\ and \ \ \text{exponential, 9 steps}}[/tex]"

Step-by-step explanation:

In point a:

We are aware of the random gamma variable X:

[tex]\to \mathbb{E} =\frac{r}{\lambda}\\\\\to Std(X) =\frac{\sqrt{r}}{\lambda}\\\\[/tex]

It is given:

[tex]\to \mathbb{E} = 18 \\\\\to std(X)=6[/tex]

[tex]\to 18=\frac{r}{\lambda}\\\\ \to 6=\frac{\sqrt{r}}{\lambda}\\\\[/tex]

Substituting the value:

[tex]\to \frac{\sqrt{r}}{6}=\frac{r}{18}\\\\\to r=9\\\\\to \lambda=\frac{1}{2}\\\\[/tex]

In point b:

When building the Erlang/Gammas distribution, these could reasonably be assumed to become an exponential distribution only with \lambda = 1/2 parameter with one step but to be r = 9 for one step.

Answer:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 62−3=59 62 - 3 = 59 .

Step-by-step explanation:

Answer:

The answer is 59

Step-by-step explanation:

Answer:

the work done in pulling the bucket to the top of the well is 2125 ft-lb

Step-by-step explanation:

Given that;

Weight of the bucket is 3 lb

weight of water which can be filled in the bucket is 42 lb

Total weight of bucket and water = 3 + 42 = 45 lb

distance, the bucket filled with water is to be pulled 50 ft

now, let at any time t be the bucket at distance x ft from the bottom of the well

then, t = x/2 × S

where S is the rate at which water is leaking from the bucket

so at this time t, the amount pf water which leaked from the bucket is;

⇒ x ft / 2.5 ft/s × 0.25 lb/s

= 0.25 lb.s⁻¹ / 2.5 ft.s⁻¹ × x ft

= 0.1 lb/ft × x ft

= 0.1x lb

now, as x represent the distance that the bucket has been raised, we the force F applied to the bucket x to be;

F = ( 45 - 0.1x ) lb

so, the required worked by Riemann sum as;

[tex]\lim_{n \to \infty}[/tex]ⁿ∑_[tex]_{i=1}[/tex] ( 45 - 0.1x[tex]_i[/tex]* ) Δx

so, the work done, pulling the bucket up will be;

[tex]\lim_{n \to \infty}[/tex]ⁿ∑_[tex]_{i=1}[/tex] ( 45 - 0.1x[tex]_i[/tex]* ) Δx  =  [tex]\int\limits^{50}_0 {(45-0.1x)} \, dx[/tex]

= [ 45x - 0.1[tex]\frac{x^2}2}[/tex] ]⁵⁰₀

= 45 × 50 - 0.1/2 × (50)²

= 2250 - 125

= 2125 ft-lb

Therefore, the work done in pulling the bucket to the top of the well is 2125 ft-lb

Answer:

17 feet 10 inches

Step-by-step explanation:

26 feet 10 inches is cut from a wire that is 44 feet 8 inches

Therefore the length of wire that is left can be calculated as follows

44 feet 8 inches - 26 feet 10 inches

= 17 feet 10 inches

Answer:

30-100

28-100

25-100

7-100

Step-by-step explanation:

It's hard to explain but I try

part in this means how many seeds we can place in those parts

and the whole it he whole amount of the part

hope that make sense

Answer:

x=7

Step-by-step explanation:

9x-9=5x+19

Combine like terms

9x-5x=19+9

4x=19+9

4x=28

x=7