Answer:
a) 3.5
b) 3.33
c) 
Step-by-step explanation:
As given,
A fair die is rolled 10 times
a)
Expected value of Sum of the number in 10 rolls = 
= 3.5
∴ we get
Expected value of Sum of the number in 10 rolls = 3.5
b)
Ley Y : number of multiples of 3
Y be Binomial
Y - B(n = 10, p =
)
Now,
Expected value = E(Y) = np = 10×
= 3.33
c)
Let m = total number of faces in a die
⇒m = 6
As die is roll 10 times
⇒n = 10
Now,
Let Y = number of different faces appears
Now,
Expected value, E(Y) = m - m
= 
Answer:
1/8(x - 49)
Step-by-step explanation:
When we factor out something, we are basically finding common factors from multiple terms to take out. Example:
ab + ac; factored out: a(b + c)
If we want to factor out 1/8 from 1/8x - 49/8, we simply divide the two terms by 1/8.
The 1/8 cancel out giving us x so:
1/8(x - __)
The next term,

When two fractions divide, you flip the bottom one and multiply them both,

giving us 49.
The answer is: 1/8(x - 49)
You will need half of the circle with radius of 15 inches.
Area of semi-circle = (<span>πr^2)/2 = 353.25 x $1.40 = $494.55 </span>
Answer:
x=-5
Step-by-step explanation:
10x + 15 = 5x-10
-5x -5x
5x+15 = -10
-15 -15
5x = -25
/5 /5
x = -5