A large spinning wheel has 20 pie slices of different colors. There are 7 green slices, 4 red slices, and the rest are black. If you spin the wheel and the pointer stops at green you win $2, stops at red you win $5, stops at black you win nothing. If you are charged $3 to play this game then how much is the expected value if you played 10 times?

Expected value is $13

Step-by-step explanation:

It is given that number of slices in spinning wheels =20

Number of green slice = 7

Number of red slice = 4

It is given that when green and red slice comes there is a win

Probability of outcome of green slice

Probability of outcome of red slice

It is given that when green slice comes win price is $2 and when red slice come price $5

So winning price

Charge of each play is $3

So expected value if he plays one times =$1.7 - $3 = -$1.3

He plays 10 times

Therefore total expected values = 10×-$1.3= $13

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.