If you draw a card with a value of four or less from a standard deck of cards, I will pay you $162. If not, you pay me $45. (Aces are considered the highest card in the deck.) Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.

Answers

Answer 1

Answer:

the expected value of the proposition is 2.77

Step-by-step explanation:

The computation of the expected value of the proposition

= 162p - 45(1 - p)

= 162 × 12 ÷ 52 - 45 × (1 - 12 ÷ 52)

= 2.77

Hence, the expected value of the proposition is 2.77

So we simply do the above calculation so that the expected value could come


Related Questions

The hypotenuse of a 45 degrees - 45 degrees - 90 degrees triangle is 5sqrt(6) Find the length of one leg of the right triangle

Answers

Answer:

Step-by-step explanation:

let the length of a leg of right angled associate triangle=x

x²+x²=(5√6)²

2x²=150

x²=150/2=75

x=√75=5√3

Please help me with my homework!!!!

Answers

Answer: -19 i think

Step-by-step explanation:

Please help me need it in 5 mins

Answers

Answer/Step-by-step explanation:

The question didn't specify which of the numbered angle we're to look for. However, let's find all the numbered angles.

✔️m<2 = 180° - 53° (linear pair angles)

m<2 = 127°

✔️m<7 = 180° - 53° (consecutive exterior angles are supplematry)

m<7 = 127°

✔️m<8 = 53° (alternate exterior angles are congruent)

help due in 30 min!!!!!!!!!!!!!!!

Answers

Answer:

They have the same slope

Step-by-step explanation:

slope=4

What is the lim as x approaches pi [integral 1+tan t from pi to x]/(pi sin x)

Answers

Apply l'Hopital's rule:

[tex]\displaystyle\lim_{x\to\pi}\frac{\displaystyle\int_\pi^x (1+\tan(t))\,\mathrm dt}{\pi\sin(x)}=\lim_{x\to\pi}\frac{1+\tan(x)}{\pi\cos(x)}=\frac{1+\tan(\pi)}{\pi\cos(\pi)}=\boxed{-\frac1\pi}[/tex]

where

[tex]\displaystyle\frac{\mathrm d}{\mathrm dx}\left[\int_\pi^x(1+\tan(t))\,\mathrm dt\right]=1+\tan(x)[/tex]

follows from the fundamental theorem of calculus.

What are the coefficients of this expression? x + y + 2​

Answers

Answer:

1

Step-by-step explanation:

Since the variables dont have any numbers next to them, 1 is the coefficient for x and y

What is the coefficient of the x^2-term of the product

Answers

Answer:

it's x

Step-by-step explanation:

x is what is being raised by 2

Answer:

1

Step-by-step explanation:

The coefficient of x^2 is 1 because there is no real number in front of it

Hope this helped! Please mark me brainliest!

All of the following would make a formal proof incomplete except what?
A) A lack of justifications
B) Incomplete sentences
C) Errors in logic
D) Incorrect reasons for statements
Urgent I need this for tonight please!!!

Answers

Answer:

b incorrect sentences

Step-by-step explanation:

got it right on my test

You took a math test with 20 questions on it. Your teacher said you got 90% of
the problems correct. How many questions did you get correct on the test?
a.
9
b.
15
C.
18
d.
90


Please hurry

Answers

Answer:

Hello as fast as i can answer 18.

Step-by-step explanation:

Reason 20 times 5 equals a 100

so 18 times 5 equals 90.

there for 18 is your answer.

-

Have a good day.

Answer:

C. 18

Step-by-step explanation:

90% of 20 is 18! Good luck!

please help, thanks :)​

Answers

Answer:

It's C :)

Step-by-step explanation:

Next time check the y-intercept

Green has a intercept of 1

and purple has -3

What is a factor that is less than 1?

Answers

Answer:

none

Step-by-step explanation:

which of the following are functions.

Answers

Answer:

Graph ii and iii

Step-by-step explanation:

In graph ii and iii, every input has one and only output. Another way to check is by doing the vertical line test.

The answer is
ii and iii

I need help with math pls

Answers

The answer is 6

Explanation:

The table below represents Mark's assets and liabilities.
Item
Value
Pocket Money
$18
Checking Account Balance $45
Loan from friend
$14
Check for mowing lawn $25
What is the total of Mark's liabilities?
O $39
O $25
O $18
O $14

Answers

Answer:

18

Step-by-step explanation:

Which quadratic equation has roots -7 and 3/2 ?

Answers

Answer:

If the discriminant of the quadratic equation is zero then it will have 2 equal roots.

If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots.

If the discriminant of the quadratic equation is less than zero then it will have no roots.

Step-by-step explanation:

hope this helped

why do you think that slowing down is sometimes called deceleration instead of acceleration?​

Answers

Answer:

The "de" part means oppsite to whats behind it I think

Step-by-step explanation:

Answer:

Because acceleration means to gradually speed up, while deceleration means to gradually slow down.

Is 5/9 closer to 1, 1/2, or 1?

Answers

Answer:

Closer to 1/2

Step-by-step explanation:

Half of 9 is 4.5 and 5 is .5 away from half and to make this 1 it needs to be 9/9 which is 4 away.

Answer:

1/2

Step-by-step explanation:

Half of 9 is 4.5/9, and 5/9 is closer to 4.5/9 than 9/9(or 1)

slope of the line (-3,-6) and (4,1)

Answers

Answer:

- 5 / 7

Step-by-step explanation:

1 - 6 = - 5

4 - - 3 = 7

Please help Im confused

Answers

Answer is 40

15/3 = 5
8 x 5 = 40

Answer:

x=40

Step-by-step explanation:

to get from 3 to 15, you multiply by 5

multiply 8 by 5 and you get 40

x is 40

please give me brainliest!!<3

The second angle of a triangle is three times as large as the first angle. The third angle is 40° greater than the first angle. How large are the angles?

Answers

30 70 90 are the angles of the triangle hope this is helpful

fine the slope of the table below

Answers

I think the answer is b -3.

Thank me by clicking on the ❤️. Thanks!

Find the roots of h(t) = (139kt)^2 − 69t + 80
the smaller root is:
the larger root is:

The answers will consist of algebraic expressions containing the parameter k.

What positive value of k will result in exactly one real root?
K = ?

Answers

Answer:

The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let [tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex], roots are those values of [tex]t[/tex] so that [tex]h(t) = 0[/tex]. That is:

[tex]19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0[/tex] (1)

Roots are determined analytically by the Quadratic Formula:

[tex]t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}[/tex]

[tex]t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex]

The smaller root is [tex]t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex], and the larger root is [tex]t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex].

[tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex] has one real root when [tex]\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0[/tex]. Then, we solve the discriminant for [tex]k[/tex]:

[tex]\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}[/tex]

[tex]k \approx \pm 0.028[/tex]

The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.

8x = 88
I can’t figure this out 10 points if you answer

Answers

Answer:

divide 88 by the number of x

88/8= 11

X = 11

Answer:

x=11

Step-by-step explanation:

8x=88

You use inverse operation which means you would divide 8 on both sides to isolate x on one side resulting in x=11

carrie biked 75 miles in 3 days.

Answers

Answer:

25 miles a day

Step-by-step explanation:

75 divided by 3 is 25

Answer:

wow good job carrieee lol

thers no question tho :(

what is the inverse f(x)=1/5x

Answers

Answer:

F = 1/5

Step-by-step explanation:

The answer for your equation is 1/5x

The volume of a rectangular prism can be modeled by the expression 4x3 - 108.

Find expressions for the dimensions of the prism by factoring, Write dimensions in box.

Answers

Answer:

4(x - 3)(x^2 + 3x + 9)

Step-by-step explanation:

4x^3 - 108 = 4(x^3 - 27), or

                    4(x^3 - 3^3), or

                     4(x - 3)(x^2 + 3x + 9)    

We could choose to let 4 represent the height of the prism, x - 3 the width and x^2 + 3x + 9 the length.

Please help I might flunk

Answers

let x represent the price of gold
x + 1.5 week 1
x + 1.5 - 3.375 = x - 1.875 week 2
x - 1.875 + .625 = x - 1.25 week 3
x - 1.25 + 1.5 = x + .25 Week four
the price of gold went up 25 cents in four weeks total

x-2y what is the coefficient of x

Answers

Answer:

the coefficient of x is an implied 1

any variable that's by itself without a coefficient has an implied 1

Step-by-step explanation:

I hope this helps :)

When you plugged in your phone you had 36% left on your battery. It took 25 minutes to rwach 100% charge. What is the constant rate of change of % charge per minute?​

Answers

Answer:

0.390%

Step-by-step explanation:

100-36=64

25÷64=0.390625

Answer:

2.6

explanation:

100-36=64

64/25= 2.6

Where do the lines y = 3x + 5 and y = -2x + 10 intersect?

Answers

9514 1404 393

Answer:

  (x, y) = (1, 8)

Step-by-step explanation:

A graphing calculator quickly tells you the point of intersection.

__

You can equate the y-values and solve for x.

  3x +5 = -2x +10

  5x = 5 . . . . . . . . . add 2x-5

  x = 1 . . . . . . . divide by 5

  3·1 +5 = y = 8 . . . . substitute for x in the first equation

The point of intersection is (x, y) = (1, 8).

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