Answer:
The answer is (h).
Step-by-step explanation:
When y = 2^x is shifted 4 units left, the x shifts 4 units to the left and x becomes (x+4). When the graph is shifted to units down, y has to be subtracted by 2.
The function becomes
y = 2^(x+4) -2.
Finally, you shift -2 to the same side as y.
This becomes
y+2 = 2^(x+4) which is (h)
Answer:

So then the best answer for this case would be:
C. 2.78
Step-by-step explanation:
For this case we have the following probabability distribution function given:
Score P(X)
A= 4.0 0.2
B= 3.0 0.5
C= 2.0 0.2
D= 1.0 0.08
F= 0.0 0.02
______________
Total 1.00
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
If we use the definition of expected value given by:

And if we replace the values that we have we got:

So then the best answer for this case would be:
C. 2.78
Answer: 300.3858/ maybe 300.385
Step-by-step explanation: 4 2/7 as decimal= 4.29 x (-18) = -77.22 x -3.89= 300.3858 (3.89 = decimal form of -3 8/9) 300.3858 x 1 = 300.3858
Answer: 337.5 km
Step-by-step explanation:
Use proportion:
2:75=9:x
2x=675
x=675/2
X=337.5
Answer:
If he eats more then 12 lunches in a month he should take Plan B, if he eats less then 12 lunches a month he should take Plan A.
Step-by-step explanation:
2.5x12=30
If he is on Plan A and buys 13 lunches it would cost more money then to be on Plan B. If he buys less then it would cost him less money to be on Plan A since he would be paying under $30.