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
= 

GCF is the greatest common factor
We take GCF of numbers first and then we take GCF for variables
GCF of 4, 8, 4 is 4 because all the numbers are divisible by 4
For variable, lowest exponent is our GCF
GCF of
is x^3
GCF of
is y^2
So GCF is 4x^3y^2
can you send me the answer
Answer:
y² - (K- 2)y + 2k +1 = 0
equal roots means D=0
D= b^2 - 4ac
a=1, b= (k-2), c= 2k+1
so,
(k-2)^2 - 4(1)(2k+1) = 0
=> k^2 +4 - 8k -4 = 0
=> k^2 -8k = 0
=> k^2 = 8k
=> k= 8k/k
=> k = 8
Therefore the answer is k= 8
Hope it helps........
To find the number of bracelets Mia can make, she will convert 5 yards to inches and then break that into groups of 18 inches.
5 x 36 = 180 inches
180/18= 10
Mia can make 10 bracelets.