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katrin2010 [14]
4 years ago
14

What is 43.78 in word form ?

Mathematics
1 answer:
SSSSS [86.1K]4 years ago
7 0
Forty-three and seventy-eight hundredths
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You roll a six sided die. You are given $8 if a 6 comes up, $2 if a 3, 4, 5 comes up, and
Dovator [93]

We want to get the expected value for the given experiment. We will see that the expected value is $2.33

For an experiment with outcomes {x₁, ..., xₙ} each one with probability {p₁, ..., pₙ} the expected value is defined as:

EV = x₁*p₁ + ... + xₙ*pₙ

Here we have 3 outcomes:

  • x₁ = winning $8
  • x₂ = winning $2
  • x₃ = winning $0.

For x₁ we need to roll a 6, this is a probability of 1 out of 6, then:

p₁ = 1/6

For x₂ we need to roll a 3, 4, or 5 (3 out of 6), then:

p₂ = 3/6

For x₃ we need to roll a 1 or a 2 (2 out of 6) so the probability is:

p₃ = 2/6

Then the expected value is:

EV = $8*(1/6) + $2*(3/6) + $0*(2/6) = $2.33

If you want to learn more about expected values, you can read:

brainly.com/question/15858152

5 0
2 years ago
Which equation has infinitely many solutions?
Maslowich

Answer:

The equation 2 x + 3 = x + x + 3 is an example of an equation that has an infinite number of solutions.

8 0
3 years ago
What will be the new coordinate of vertex B if the triangle is dilated with a center at the origin by a scale factor of 1/3
a_sh-v [17]

You must observe the distances from the center of the dilation at point A to the other points B, C and D. The dilation image will be 1/3 of each of these distances. AB = 6, so A'B' = 2. AD = 9, so A'D' = 3.

Can I get brainllest

7 0
3 years ago
Calculate cos(480°) and sin(480°).
hram777 [196]

Answer:

\cos(480^\circ)=-\dfrac{1}{2}

\sin(480^\circ)=\dfrac{\sqrt{3}}{2}

Step-by-step explanation:

Calculate the value of trigonometry function.

\cos(480^\circ) and \sin(480^\circ)

Split the angle between 0 to 90° using trigonometry formula.

\Rightarrow \cos(360^\circ+120^\circ)  

\Rightarrow \cos(120^\circ)                \because \cos(360+\theta)=\cos\theta

\Rightarrow \cos(180^\circ-60^\circ)             \because 120=180-60

\Rightarrow -\cos(60^\circ)                       \because \cos(180-\theta)=-\cos\theta

\Rightarrow -\dfrac{1}{2}

Therefore, cos(480°) = -0.5

\Rightarrow \sin(360^\circ+120^\circ)  

\Rightarrow \sin(120^\circ)                \because \sin(360+\theta)=\sin\theta

\Rightarrow \sin(180^\circ-60^\circ)             \because 120=180-60

\Rightarrow \sin(60^\circ)                       \because \sin(180-\theta)=\sin\theta

\Rightarrow \dfrac{\sqrt{3}}{2}

Therefore, sin(480°) = 0.866

7 0
4 years ago
I have dyslexia and it’s really hard 4 me but I’ve been doing better but I’m stuck on this⬇️
Otrada [13]
Subtract 612 from 8.7 to get 603.3 :)
3 0
3 years ago
Read 2 more answers
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