Answer:
See below
Step-by-step explanation:
Here we have a function
such that
and 
The sequence is denoted as
such that 
For this sequence, we would have

But sure it seems to follow

Answer:
Standard deviation = 0.547
Step-by-step explanation:
Given the data
$5 for spade
$10 for any club
$20 for an ace club
Lets assume Probability of getting these cards to be
0.5, 0.20 and 0.30
Therefore, mean would be
Summation (PX) = 5×0.5 + 10×0.2 +20×0.3
Summation (PX)/n= 10.5/35 = 0.3
Standard deviation = √0.3
Standard deviation = 0.547
F(x) = x2 + 5
This function comes from the basic function f(x) = x2 with the constant 5 added to the outside. This gives the basic function a vertical shift UP 5 units.
56 miles, The car traveled m miles during the first hour and m squared miles during the second hour. The ratio m/m squared = 1/7 and cross multiplying yields m squared = 7m, so m=7. This means that the total distance traveled was 7+7squared = 56 miles
-1/3 m = 5+7
-1/3m=12
m= -36