Since a coin has 2 sides and there is the same probability of getting either side, then each side has a 50% or 0.5 probability. Therefore, in order to calculate the expected value of one coin flip we need to multiply the value of each side by its probability and add those values together like so...

1 * 0.5 = 0.5

0 * 0.5 = 0

Now we add these values together...

0.5 + 0 = 0.5

Finally, we can see that the expected value of one coin flip is 0.5

4 0

2 years ago

What us the approximate length of the diameter,d?

zhenek [66]

$\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r = radius\\[-0.5em] \hrulefill\\ C=44 \end{cases}\implies 44=2\pi r\implies \cfrac{44}{2\pi }=r\implies \cfrac{22}{\pi }=r \\\\\\ \stackrel{\textit{diameter is 2r}}{2\cdot \cfrac{22}{\pi }}\implies \cfrac{44}{\pi }\qquad \approx \qquad 14.00563499208679$

3 0

3 years ago

rachel is frosting the top of two cakes and wants to know which cake will require more frosting. one cake is round with a diamet

Jet001 [13]

Answer:

The square cake is has a larger area by about 40.73 square inches

Step-by-step explanation:

Find the area of the top of each cake.

The square cake has an area of 81 sq inches, ( length x width = Area, the

length is 9)

The round cake has an area of 16π, which is about 50.27 square inches

(A = πr², here r is 4, radius is half the diameter)

81 - 16π = 81 - 50.27 = 40.73 square inches

4 0

2 years ago