You can find the answer by adding the two packages and subtracting them by 5.
2 1/2+2 3/5=5 1/10
5 1/10-5=1/10
Yolonda will have 1/10 left over.
For the square to fit inside the circle without touching it, the diagonal of the square needs to be less than the diameter of the circle.
Using the Pythagorean theorem we can calculate the diagonal of the square:
X = SQRT(5^2 + 5^2)
X = SQRT(25 + 25)
X = SQRT(50)
X = 7.07
The diagonal of the square is 7.07 cm, which is less than the diameter of the circle, 9cm, so it will fit .
The total fabric used for headband and wristband of a player was: 27.84 inches
Step-by-step explanation:
The question will be solved step by step.
So,
Total ribbon used for headbands = 883.68 inches
Total number of people for whom headbands were made = 46 players + 2 coaches = 48 inches
so the headband for one person will use fabric:
Then
Total fabric used for wristbands = 433.78 inches
Total players = 46

Total fabric for one player = 18.41 + 9.43 = 27.84 inches
Hence,
The total fabric used for headband and wristband of a player was: 27.84 inches
Keywords: Fractions, decimals
Learn more about fractions at:
#LearnwithBrainly
Step-by-step explanation:
midpoint of BC is 63 middle of 60 and 65
The question is incomplete. The complete question is :
Let X be a random variable with probability mass function
P(X =1) =1/2, P(X=2)=1/3, P(X=5)=1/6
(a) Find a function g such that E[g(X)]=1/3 ln(2) + 1/6 ln(5). You answer should give at least the values g(k) for all possible values of k of X, but you can also specify g on a larger set if possible.
(b) Let t be some real number. Find a function g such that E[g(X)] =1/2 e^t + 2/3 e^(2t) + 5/6 e^(5t)
Solution :
Given :

a). We know :
![$E[g(x)] = \sum g(x)p(x)$](https://tex.z-dn.net/?f=%24E%5Bg%28x%29%5D%20%3D%20%5Csum%20g%28x%29p%28x%29%24)
So, 

Therefore comparing both the sides,


Also, 
b).
We known that ![$E[g(x)] = \sum g(x)p(x)$](https://tex.z-dn.net/?f=%24E%5Bg%28x%29%5D%20%3D%20%5Csum%20g%28x%29p%28x%29%24)
∴ 

Therefore on comparing, we get

∴ 