Answer:
Step-by-step explanation:
Given that there are six different toys and they are to be distributed to three different children.
The restraint here is each child gets atleast one toy.
Let us consider the situation as this.
Since each child has to get atleast one toy no of ways to distribute
any 3 toys to the three children each. This can be done by selecting 3 toys from 6 in 6C3 ways and distributing in 3! ways
So 3 toys to each one in 6x5x4 =120 ways
Now remaining 3 toys can be given to any child.
Hence remaining 3 toys can be distributed in 3x3x3 =27 ways
Total no of ways
= 120(27)
= 3240
Answer:
A. E(x) = 1/n×n(n+1)/2
B. E(x²) = 1/n
Step-by-step explanation:
The n candidates for a job have been ranked 1,2,3....n. Let x be the rank of a randomly selected candidate. Therefore, the PMF of X is given as
P(x) = {1/n, x = 1,2...n}
Therefore,
Expectation of X
E(x) = summation {xP(×)}
= summation {X×1/n}
= 1/n summation{x}
= 1/n×n(n+1)/2
= n+1/2
Thus, E(x) = 1/n×n(n+1)/2
Value of E(x²)
E(x²) = summation {x²P(×)}
= summation{x²×1/n}
= 1/n
Hello!
We are trying to describe the behavior of the graph given in the question.
To help us understand how to solve this question, we would need to understand <u>concavity.</u>
There are two types of concavity:
- Concave <em>up</em>
- Concave <em>down</em>
When a graph is concave up, the slope of the line would look like a "U".
When a graph is concave down, the slope of the line would look like a "U" that is flipped upside down.
In this case, we can see that the graph is concave down.
We can tell that the <em>slope</em> is negative due to the fact that the slope is going <u>down,</u> which results in the graph having a negative slope.
We can also tell that the graph is decreasing due to the fact that the line is doing downward.
Answer:
C). negative and decreasing
Step 1: Write out the problem.
Step 1: Write out the problem.
Step 1: Write out the problem.
x+(x+1)+(x+2)+(x+3)= 286
Step 2: Take out the parentheses.
x+x+1+x+2+x+3= 286
Step 3: Combine like terms.
4x+6= 286
Step 4: Subtract 6 from both sides.
4x+6 -6= 286 -6
Step 5: Divide 4 on both sides.
4x/4 = 280/4
x=70
Which means the answer is 70, 71, 72, 73
Check Work:
70+71+72+73= 286
So this is correct :)
Answer:
x=-4/3
Step-by-step explanation:
3x-12=12x
3x-12x=12
-9/-3=12/-3
then -3 cancels
3x/3=-4/3
then 3 cancels 3
so x=-4/3
