Answer:
Its, D = 45, just had this question
Step-by-step explanation:
Answer:
4(4 + x)
Step-by-step explanation:
The only way to factor this expression is to take out the 4
16 + 4x
4(4 + x)
Answer: 4(4 + x)
Answer:
982.
Step-by-step explanation:
hope you get a good grade
Answer:
The graph stretches horizontally by a factor of 4 and shifted up by 1 unit.
Step-by-step explanation:
Given:
The function 
is given as:
The function 
is given as:
The function 'g' can be rewritten as:
So, the 'x' value of 'f' is multiplied by 
and 1 unit is added to the function to get the function 'g'.
Therefore, as per transformation rules:
1. 
- If C > 1 ⇒ The graph compresses in the x direction.
- If 0 < C < 1 ⇒ The graph stretches in the x direction by factor of 1/C.
2. 
- If C > 0 ⇒ The graph shifts up by 'C' units.
- If C < 0 ⇒ The graph shifts down by 'C' units.
Therefore, the graph of stretches in the x direction(horizontally) by a factor of 4 and shifts up by 1 unit to get .
The expected value of x is 10.
It is given that the number of dice that are showing an even number is a binomial random variable with n = 4, and p = 1/2 (because half the faces on the die are even and half are odd).
The expected value of this random variable is n*p = 4*1/2 = 2.
The number of points is simply 5 times this random variable, and by the rules of expected value, E(C*Y) = C*E(Y), where C is a constant and Y is a random variable.
Thus E(X) = 5*2 = 10.
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