All categories

3 years ago

I need help with the below question, thanks! :)

Mathematics

1 answer:

vampirchik [111]3 years ago

7 0

Abe should not accept the $500 and play the game.The mathematical expectation of the game is $666.67.

I may be wrong but that's my answer.

You might be interested in

Solve the equation by completing the square. Round to the nearest hundredth if necessary? X^2+3x=24

Genrish500 [490]

X^2+3x=24, halve the linear coefficient, square it, and add it to both sides

In this case (3/2)^2=2.25

x^2+3x+2.25=26.25 now the left side is a perfect square...

(x+1.5)^2=26.25 take the square root of both sides

x+1.5=±√26.25 subtract 1.5 from both sides

x=-1.5±√26.25

x=-1.5-√26.25 and -1.5+√26.25

x≈ -6.62 and 3.62

6 0

3 years ago

I am thinking of a number.

Step2247 [10]

Step-by-step explanation:

Let the number Noah is thinking of be x,

=> x - 19 * 4 = 16

=> x - 19 = 16/4

=> x = 16/4 + 19

=> x = 4 + 19

=> x = 23

If my answer helped , please mark me as brainliest,

Thank you

4 0

4 years ago

Find the extreme values of f subject to both constraints. (if an answer does not exist, enter dne.) f(x, y, z) = x + 2y; x + y +

Mariana [72]

Using the method of Lagrange multipliers, we have the Lagrangian

$L(x,y,z,\lambda_1,\lambda_2)=x+2y+\lambda_1(x+y+z-4)+\lambda_2(y^2+z^2-4)$

with partial derivatives (set equal to 0)

$L_x=1+\lambda_1=0\implies\lambda_1=-1$
$L_y=2+\lambda_1+2\lambda_2y=0\implies\lambda_2y=-\dfrac12$
$L_z=\lambda_1+2\lambda_2z=0\implies\lambda_2z=\dfrac12$
$L_{\lambda_1}=x+y+z-4=0$
$L_{\lambda_2}=y^2+z^2-4=0$

From $L_y$ and $L_z$ , we find that $\lambda_2y=-\lambda_2z\implies y=-z$ . Then substituting into $L_{\lambda_2}$ , we find

$y^2+z^2=4\implies2y^2=4\implies y=\pm\sqrt2\implies z=\mp\sqrt2$

and substituting these into $L_{\lambda_1}$ , we get

$x+y+z=4\implies x=4$

So we have two possible critical points, $(4,\pm\sqrt2,\mp\sqrt2)$ , which give extreme values of $4+2\sqrt2$ and $4-2\sqrt2$ , respectively.

5 0

3 years ago

What would be the answer?

RSB [31]

Answer:

id be happy to help but i dont know the question . if its asking for area it would be 24

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

From midnight to 6:00 am, the temperature rose 8 degrees Celsius. At 6:00 am, the temperature was -20 degrees Celcius. What was

Nataly [62]

explanation: When you say rose that means the temp got hotter right? If so then at midnight it was -28 degrees Celsius and it rose 8 degrees to -20 degrees Celsius at 6:00am.

8 0

4 years ago