If you wanted to make a game where you pay $5 if you can't guess a random dogs weight within 16lbs what payout should you offer you make the game zero-expected value

Answers

Answer 1

Answer:

Following are the solution to the given question:

Step-by-step explanation:

The population std. dev of the dog weight=8

[tex]\sigma=8\\\\P(\text{guess with in 16 lbs}) = P(|X-\mu|\leq 16)\\\\=P(-2 \leq Z \leq 2) = 0.9544\\\\[/tex]

Calculating the payout w s.t:

[tex]E[netpay]=0=(-5) \times 0.9544+w\times (1-0.9544)\\\\ w =(5 \times \frac{0.9544}{1-0.9544}) =\$ 104.65[/tex]

therefore, we assume that the weight of the dog is a normal distribution with std. deviation that is 8.


Related Questions

An amount of $700 was invested at 7% for 7 months what is the interest? Round your answer to your nearest cent.

Answers

Answer:

$343

step by step explanation: interest=PRT/100

:I=700×7×7/100

:I=$343.

Given:

Principal, P = $700

Rate of interest, R = 7% = 0.07

Time period, T = 7 months (it is considered as a monthly investment)

∴ Simple Interest, SI = PRT

SI = 700 × 0.07 × 7

SI = $343

What is straightforward interest and model?

Straightforward Simple Interest is the strategy for working out the premium sum for a specific chief measure of cash at some pace of revenue. For instance, when an individual takes credit of Rs. 5000, at a pace of 10 p.a. for a very long time, the individual's advantage for quite some time will be S.I. on the acquired cash.

Straightforward recipes generally start with an equivalent sign (=), trailed by constants that are numeric qualities and computation administrators like in addition to (+), short (- ), asterisk(*), or forward cut (/) signs.

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HELP PLEASE AND BE CORRECT

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Each point moves to 3 times its original distance from P.

  A is 2 up and 1 left of P, so A' will be 6 up and 3 left of P.

  B is 1 down and 2 left of P, so B' will be 3 down and 6 left of P.

  C is 2 right of P, so C' will be 6 right of P.

Which of the answer choices has matrix multiplication defined?

Answers

Answer:

AB

Step-by-step explanation:

For the multiplication of two matrices to be defined then the number of columns of the first matrix must be equal to the number of rows of the second matrix. For example, 2*3 and 3*2 matrices can be multiplied since the number of columns of the first matrix must be equal to the number of rows of the second matrix.

Matrix A = 2*2

Matrix B = 2*3

Matrix C = 3*3

Matrix D = 1 * 3

From the matrices given, we can see that the matrices that can be multiplied together are AB and BC since the number of columns of the first matrix must be equal to the number of rows of the second matrix. Hence the correct option is AB

A community swimming pool is a rectangular prism that is 30 feet long, 12 feet wide, and 5 feet deep. The wading pool is half as long, half as deep, and the same width as the larger pool.

How many times greater is the volume of the swimming pool than the volume of the wading pool?

Answers

The correct answer is 1,350

How many hours will it take to complete a 45-km bike ride if you go 12km per hour the whole time?

Answers

Answer:

3.75 hours

Step-by-step explanation:

d = rt

where d is the distance, r is the rate and t is the time

45 = 12 t

Divide each side by 12

45/12 = t

3.75 hours = t

Please help to solve this.
Find sin5x,if sinx+cosx=1,4

Answers

Answer:

Hello,

Step-by-step explanation:

we must first remember that:

[tex]\boxed{sin(5x)=5sin(x)-20*sin^3(x)+16*sin^5(x)}\\\\[/tex]

Let say t=sin(x)

[tex]sin(x)+cos(x)=1.4\\\\t+\sqrt{1-t^2}=1.4\\\sqrt{1-t^2}=1.4-t\ we\ square\\1-t^2=1.4^2+t^2-2.8*t\\2t^2-2.8*t+0.96=0\\\Delta=2.8^2-4*2*0.96=0.16=0.4^2\\\\t=\dfrac{2.8-0.4}{4} =0.6\ or\ t=\dfrac{2.8+0.4}{4}=0.8\\\\t^3=0,216\ or\ t^3=0,512\\\\t^5=0,07776\ or\ t^5=0,32768\\\\\boxed{sin(5x)=5*0.6-20*0.216+16*0.07776=-0,07584}\\\\or\\\\\boxed{sin(5x)=5*0.8-20*0.512+16*0.32768=-0,99712}[/tex]

Which is a direct proportion

y = -4
y = 2x + 1
y = 6
y = 2/3x

Answers

Answer:

y=2x+1

Step-by-step explanation:

y is directly proportional to x if it increases as x increases

Find the inequality represented by the graph

I'm using khan academy btw

Answers

Answer:

Step-by-step explanation:

slope of line through (0,0) and (4,3) =(3-0)/(4-0)=3/4

eq. of line is y-0=3/4(x-0)

y=3/4 x

put x=4

y=2

2=3/4×4

2=3

which is true if 2<3

2<3

so y<3/4 x

How??????????????????????

Answers

Answer:

y=-1/3x+7

Step-by-step explanation:

y=mx+c

m=-1/3, c=7

y=-1/3x+7

I WILL MARK AS BRAINLIES

PLEASE HELP ME AND BE CORRECT BEFORE ANSWERING

Answers

Answer:

Both are true

Step-by-step explanation:

Both are true

Use the information angle 8 is congruent to angle 11 to determine which lines are parallel.
A. p || q
B. l || m
C. m || n
D. l || n

Answers

Answer:

A

Step-by-step explanation:

based on line p and q

Answer: p || q

Or A

Step-by-step explanation:

good luck

The sum of three numbers is 72 the second number is three times the third the third number is eight more than the first what are the numbers

Answers

Answer:

Our three numbers are 8, 48, and 16.

Step-by-step explanation:

Let the first, second, and third numbers be x, y, and z, respectively.

The sum of them is 72. In other words:

[tex]x + y + z = 72[/tex]

The second number y is three times the third number z. So:

[tex]y = 3z[/tex]

And the third number z is eight more than the first number x. So:

[tex]z = x + 8[/tex]

To find the numbers, solve for the system. We can substitute the last two equations into the first:

[tex]x + (3z) + ( x + 8) = 72[/tex]

Substitute again:

[tex]\displaystyle x + 3(x+8) + x+8 = 72[/tex]

Solve for x. Distribute:

[tex]x+3x+24+x+8=72[/tex]

Combine like term:

[tex]5x + 32 = 72[/tex]

Subtract:

[tex]5x = 40[/tex]

And divide:

[tex]x=8[/tex]

Thus, the first number is eight.

And since the third number is eight more than the first, the third number z is 16.

The second number is three times the third. Thus, the second number y is 3(16) or 48.

Our three numbers are 8, 48, and 16.

Find the value of the variable y that results in congruent triangles

Answers

Answer:

y = 5

Step-by-step explanation:

[tex]7y-10=25\\7y=35\\y=5[/tex]

- Which of the following is the correct distance between the points (-5, 3) and (7,8)?

Answers

Answer:

13 units

Step-by-step explanation:

(x₁,y₁) = (-5 , 3)   & (x₂ , y₂) = (7 ,8)

[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\[/tex]

              [tex]= \sqrt{(7-[-5])^{2}+(8-3)^{2}} \\\\= \sqrt{(7+5)^{2}+(8-3)^{2}} \\\\= \sqrt{(12)^{2}+(5)^{2}}\\\\=\sqrt{144+25}\\\\=\sqrt{169}\\\\= 13[/tex]

evaluate -7x^2 -5 + y^2- forx = -2, y=4

Answers

Answer:

The (y^2 ) or (y^–2) It is not clear, I solved it in both ways (y^2) and (y^-2) .^_^

[tex] - 7 {x }^{2} - 5 + {y}^{2} \\ - 7( { - 2}^{2} ) - 5 + {4}^{2} \\ - 7( - 4) - 5 + 16 \\ 28 - 5 + 16 \\ = 39[/tex]

_______o_____o_______

[tex] - 7 {x }^{2} - 5 + {y}^{ - 2} \\ - 7( { - 2}^{2} ) - 5 + {4}^{ - 2} \\ - 7( - 4) - 5 + \frac{1}{16} \\ 28 - 5 + \frac{1}{16} \\ = 23.06[/tex]

I hope I helped you^_^

If 2 tacos and 5 drinks cost $20, And three tacos and five drinks cost $25 how much does a taco cost

Answers

A taco costs $5
This is because there was no difference in the cost except for $5. The only item added was one taco. Drinks cost $2 each.

The cost of each taco for the given problem is $5.

What is a system of linear equations?

A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.

Given that,

The cost of 2 tacos and 5 drinks cost is $20.

And, the cost of 3 tacos and 5 drinks cost is $25.

Suppose the cost of each taco and drink be x and y respectively.

Then the following equations can be written for the given case,

2x + 5y = 20         (1)

3x + 5y = 25         (2)

Subtract equation (1) from (2) to obtain,

3x + 5y - (2x + 5y) = 25 - 20

=> x = 5

Hence, the cost of a taco is $5.

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A line passes through the point (-1, -9) and has a slope of -7.
What would be the equation for this line?

Answers

Answer:

y = -7x - 16

Step-by-step explanation:

The formula for the equation of a line is y=mx+b, where m is the slope and b is the y-intercept. Since we already know the slope, all that is left is the value of b, which can be found by substituting the values of the point (-1, -9) into the equation and solving:

[tex]-9=-7(-1)+b[/tex]

[tex]-9=7+b[/tex]

[tex]b=-9-7=-16[/tex]

With this, we get the value -16, making the equation y = -7x - 16

Solve the equation for y. Identify the slope and y- intercept. Then graph the equation. 2y-3x=10

Answers

Answer:

y=3/2x+5

The slope is 3/2 and the y-intercept is 5

Step-by-step explanation:

Solving for y will give us the slope and y-intercept

Isolate y

2y/2=10+3x/2

y=5+3/2x

The slope is 3/2 and the y-intercept is 5

Graph it by graphing (0,5) and using the slope (up 3 over 2) to put other points

Derive the explicit rule for the pattern: 3, 0, - 3, - 6, - 9, ...

Answers

Answer:

Step-by-step explanation:

a1 = 3

d = -3

an = a1 + (n - 1)*d

an = a1 + (n - 1)*-3

Try it

Let n = 5

a5 = 3 + (5 - 1)*-3

a5 = 3 + 4*-3

a5 = 3 - 12

a5 = - 9 which is exactly what it should be.

The interesting one to try is n = 2

a2 = a1 + (2 - 1)*-3

a3 = 3  + 1(-3)

a3 = 3 - 3

a3 =0

Which is exactly what the second term is. It's interesting because you would never guess that 0 is what you get.

Find perimeter of square with its each side a cm.​

Answers

Answer:

4cm

Step-by-step explanation:

Each side of the square = 1cm

Perimeter of a square = 4xside

= 4x1 = 4

Answer From Gauth Math

One week Leslie earned a total of $425. of that amount $300 was tips
if she worked a 40-hour week, what was the hourly rate she received?
a. $1.88
b. $3.13
c. $8
d. $10.63

Answers

Answer:

Step-by-step explanation:

$425-$300 = $125

$125/(40 hr) = $3.125/hr ≈ $3.13/hr

find the equation of straight line passes through a point (0 ,- 3 )which makes an angle tan^-1(1/3) with the line 3x- 2Y + 13 =0​

Answers

Answer:

Step-by-step explanation:

Edit:

y = (7/9)x = 3

9514 1404 393

Answer:

  y = 11/3x -3

Step-by-step explanation:

The slope of a line is the tangent of the angle it makes with the x-axis. The slope of the given line is 3/2, so the angle it makes with the x-axis is arctan(3/2) ≈ 56.310°. We want a line that makes an angle of arctan(1/3) ≈ 18.435° with the given line, so its slope will be ...

  tan(56.310° +18.435°) = tan(74.745°) = 11/3

The y-intercept of the desired line is given as (0, -3), so the equation of the line we want is ...

  y = 11/3x -3

_____

Additional comment

The desired slope can be found using the formula for the tangent of the sum of angles. However, simply adding the angles on a calculator saves a lot of arithmetic. (Full precision values must be used.)

The line we have found is at the desired angle measured CCW from the point of intersection with the given line. If you allow the line to have that angle measured CW from the point of intersection, then the slope will be 7/9, and the equation will be ...

  y = 7/9x -3

please help me with geometry

Answers

Answer:

How to improve my geometry?

Part 1 of 3: Getting the Grade

Attend every class. Class is a time to learn new things and solidify the information that you may have learned in the previous class.

Draw diagrams. Geometry is the math of shapes and angles. ...

Form a study group. ...

Know how to use a protractor. ...

Do all of the assigned homework. ...

Teach the material. ...

Do lots of practice problems. ...

Seek extra help. ...

Step-by-step explanation:

Drug dosage is frequently based on a patient's weight. For example, 170 milligrams of a certain drug should be administered daily
for every 20 pounds of a patient's weight. Use this information to complete parts

a. What is the daily dosage for a woman who weighs 110 pounds?

Answers

Answer: 850.5 milligrams

Step-by-step explanation:

[tex]20*5= 850+.5=850.5[/tex]

That will be your answer please give me brainliest if you can!!!

The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The measurements are given in the table.


Using technology, what is the equation for the least-squares regression line?

y= –34.13 1.98x

y = 1.98 – 34.13x

y = 17.37 0.50x

y = 0.50 17.37x

I think it's (C) y = 17.37 0.50x --> 100%

Answers

Answer:

The answer is (C)

17.37 + .50x

ED2021

Give the domain and range.
x –2 0 2 y –1 0 1
a. domain: {2, 0, 2}, range: {1, 0, 1} b. domain: {–2, 0, 2}, range: {–1, 0, 1} c. domain: {–1, 0, 1}, range: {–2, 0, 2} d. domain: {1, 0, 1}, range: {2, 0, 2}

Answers

Answer:

B. domain {-2, 0, 2}, range {-1, 0, 1}

Step-by-step explanation:

The x values and y values as ordered pairs would be: (-2,-1), (0,0), (2,1)

The domain is the all of the values of x and the range is all the values of y.

f(10)
calculate the indicated function value

Answers

It is 20 my guy ……………….

number
5. Thesum of a two-digit number a
(CBSE 2002]
Find the numbers.
If the two digits differ by 2, find the number. I
6. The sum of two numbers is 1000 and the difference between their squares is 256000.
7. The sum of a two digit number and the number obtained by reversing the order of its
digits is 99. If the digits differ by 3, find the number.
8. A two-digit number is 4 times the sum of its digits. If 18 is added to the number, the digits
are reversed. Find the number.
(CBSE 2001C]
[CBSE 2001C]
9. A two-digit number is 3 more than 4 times the sum of its digits. If 18 is added to the
(CBSE 2001C]
number, the digits are reversed. Find the number.
10. A two-digit number is 4 more than 6 times the sum of its digits. If 18 is subtracted from
the number, the digits are reversed. Find the number.
11. A two-digit number is 4 times the sum of its digits and twice the product of the digits.
[CBSE 2005]
Find the number.
[CBSE 2005]
12. A two-digit number is such that the product of its digits is 20. If 9 is added to the number,
the digits interchange their places. Find the number.
13. The difference between two numbers is 26 and one number is three times the other. Find
them.
14. The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the​

Answers

Answer:

Let the numbers are x and y

According to the question

⇒x+y=1000.....eq1⇒x 2 −y 2

=256000∵x 2 −y 2

=(x+y)(x−y)

⇒1000∗(x−y)=256000

⇒x−y=256.....eq2

Adding eq1 and eq2

⇒2x=1256⇒x=628

Put the value of x in eq1

⇒628+y=1000⇒y=372

The numbers are 628 and 372

Hi I'm From PHILIPPINES

I'm here to help USA users like you

I need help please guys thank you

Answers

Answer:

Option A, the parent function has been translated up

Option B, the parent function has been compressed

Option C, the parent function has been translated to the right

Solve for the length of the unknown side in the following right triangle. (Side AC is the hypotenuse.)
Round your answer to two places, where applicable.
Side AB 3 Side BC 4 Side AC ?

Answers

Answer:

side AC is 5

Step-by-step explanation:

by using th pythagorean theorm you would square both sides add them together and the square root the sum to get you answer.

AB =3 BC=4

9+16=25

25 square root is 5

makeing AC=5

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