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Otrada [13]
3 years ago
13

A coin is tossed 12 times. What is the probability of getting heads exactly 7 times?

Mathematics
1 answer:
Anna71 [15]3 years ago
4 0

Answer:

likely

Step-by-step explanation:

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Suppose z equals f (x comma y ), where x (u comma v )space equals space 2 u plus space v squared, y (u comma v )space equals spa
barxatty [35]

z=f(x(u,v),y(u,v)),\begin{cases}x(u,v)=2u+v^2\\y(u,v)=3u-v\end{cases}

We're given that f_x(6,1)=3 and f_y(6,1)=-1, and want to find \frac{\partial z}{\partial v}(1,2).

By the chain rule, we have

\dfrac{\partial z}{\partial v}=\dfrac{\partial z}{\partial x}\dfrac{\partial x}{\partial v}+\dfrac{\partial z}{\partial y}\dfrac{\partial y}{\partial v}

and

\dfrac{\partial x}{\partial v}=2v

\dfrac{\partial y}{\partial v}=-1

Then

\dfrac{\partial z}{\partial v}(1,2)=\dfrac{\partial z}{\partial x}(6,1)\dfrac{\partial x}{\partial v}(1,2)+\dfrac{\partial z}{\partial y}(6,1)\dfrac{\partial y}{\partial v}(1,2)

(because the point (x,y)=(6,1) corresponds to (u,v)=(1,2))

\implies\dfrac{\partial z}{\partial v}(1,2)=3\cdot2\cdot2+(-1)\cdot(-1)=\boxed{13}

4 0
3 years ago
Help me QUICK<br> Picture included of the problem
Klio2033 [76]

I think it would be a and f :)

3 0
3 years ago
Brandon is making a ramp . The ramp stands 3 feet tall and is 9 feet long . How long is the base of the ramp
tresset_1 [31]

Answer: 8.48 Feet

Step-by-step explanation:

We can use the Pythagorean Theorem, A^2 + B^2 = C^2

A^2 + B^2 = C^2

A^2 + 3^2 = 9^2

A^2 + 9 = 81

81 - 9 = A^2

72 = A^2

√72 = A

8.48 = A

Hope this helps!

8 0
3 years ago
5
stepan [7]

Answer:

B

Step-by-step explanation:

12 is 1/4 of 48 so when you take $12 off $48 you take 1/4 of 25% away

6 0
3 years ago
The roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 m. The slant height o
Elanso [62]
(a) Allow me to guide you on this one. Sketch a cone shape. At the circular base of the cone, sketch a straight line across through the middle which will be your diameter(most preferably where the slant height meet the circular base). Label it 24 m. From the apex of the cone, drop a straight line which is perpendicular to the diameter meeting it in the middle. Label that line 16 m. Label the line slanting from the top to the bottom x.

(b) The slant height of the roof is 20 m.
 x^{2} =12^{2} + 16^{2} =144 + 256
 x^{2} =400
x=√400
x=20m

6 0
3 years ago
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