Whatever number you get from the first spin, you have a 50% chance of spinning a number with the same parity with the second spin, and a 50% chance of spinning a number with opposite parity with the second spin.

So, with each turn, you have a 50% chance of getting an even sum, and a 50% chance of getting an odd sum.

This means that, by definition, the expected number of spaces moved is

$\dfrac{1}{2}\cdot 6 + \dfrac{1}{2}\cdot (-2) = 3-1 = 2$

So, on average, you move 2 steps foward.

3 0

3 years ago

Please help if so thank you And explain

Naddika [18.5K]

Answer:

x = 34°

Step-by-step explanation:

Given AC and BD are perpendicular bisectors, we can say that at point E, there are 4 right angles [perpendicular bisectors intersect to create 4 90 degree angles].

Now, if we look at the triangle AED, we know that it is a right triangle, meaning that angle E is a right angle.

Also,

We know sum of 3 angles in a triangle is 180 degrees. Thus, we can write:

∠A + ∠E + ∠D = 180

<em>Note: Angle A and Angle D are just the half part of the diagram. More exactly we can write:</em>

∠EAD + ∠ADE + ∠DEA = 180

Given,

∠EAD = 56

∠DEA = 90

We now solve:

∠EAD + ∠ADE + ∠DEA = 180

56 + ∠ADE + 90 = 180

146 + ∠ADE = 180

146 + x = 180

x = 180 - 146

x = 34°

4 0

4 years ago