Alright, lets get started.
The formula of volume for a right rectangular prism = 
where l denotes length
w denotes width
h denotes height of the prism
Hence the volume of the prism = 
So, the volume will be = 
So the volume will be =
cubic feet
So the answer is 234 cubic feet : Answer
Hope it will help :)
Answer:
Step-by-step explanation:
Given that:
To bet $5 that the outcome is any one of these five possibilities: 0, 00, 1, 2, 3.
Let Y represent the Amount of net profit
Then, Y= {-5, 30}
The probability distribution of Y is:
Y -5 30
P(Y=y)

a) The expected value of X is given by:
![E[Y] =\sum y P(Y=y)= 30*\dfrac{5}{38}-5*\dfrac{33}{38}](https://tex.z-dn.net/?f=E%5BY%5D%20%3D%5Csum%20y%20P%28Y%3Dy%29%3D%2030%2A%5Cdfrac%7B5%7D%7B38%7D-5%2A%5Cdfrac%7B33%7D%7B38%7D)


b)
On a bet of $5 on the number 25 we are expected to loose 24 cents.
While on a $5 bet that the outcome is any one of the numbers 0,00, or 1 we are expected to loose 39 cents.
Hence, $5 bet on the number 27 is better. Because the expected loss is less in this bet
Answer:
Step-by-step explanation:
A={26,30,32,44,48}
B={22,26,34}
A∩B=26
number of elements=1
elements in ξ are {22,24,26,28,30,32,34,36,38,40,42,44,46,48}
number of elements in ξ=14
P(A∩B)=1/14
I can't draw venn diagram but i give hint
A={30,32,44,48}+{26}
B={22,34}+{26}
A∩B={26}
Answer: The required value of y is 19.
Step-by-step explanation: We are given to find the value of y in the solution to the following system of equations :

Comparing equations (i) and (ii), we get

From equation (i), we get

Thus, the required value of y is 19.
Answer:
Commutative Property
Step-by-step explanation:
Additive Identity: If you add a real number to zero or add zero to a real number, then you get the same real number back.
Additive Inverse: When you add the same number but reversed sign, you get 0.
Commutative Property: a + b = b + a
Addition distributive property: a(b+ c) = ab + ac.
In this case, we use the commutative property:
27 + 15 + 3 + 5 = 27 + 3 + 15 + 5.
We know that 27 + 3 = 30 and 15 + 5 = 20, so we get 50 quickly using mental math.