Answer:
the common difference is 5.4 and yes, this is an arithmetic sequence
Step-by-step explanation:
Each new term is derived by adding 5.4 to the previous term:
2.1 + 5.4 = 7.5,
7.5 + 5.4 = 12.9,
and so on,
so the common difference is 5.4 and yes, this is an arithmetic sequence.
Answer:
12 and 3.0984
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

The standard deviation of the binomial distribution is:

In this problem, we have that:

So


So the correct answer is:
12 and 3.0984
Answer:
f^-1(x) is a function
Step-by-step explanation:
To get the inverse you replace f(x) with y, so you get y=3x^2+2. Then you switch your x and y to get x=3y^2+2. Now you want to solve for y, so you subtract two to get x-2=3y^2. You then divide both sides by 3 to get (x-2)/3=y^2. Finally you square root both sides to get y=√((x-2)/3). Now you get that f^-1(x)=√((x-2)/3). When you graph it you can see that the graph passes the vertical line test, so f^-1(x) is a function.
Answer:
a = 26°
b = 48°
c = 26°
d = 106°
Step-by-step explanation:

a = c (Alternate angles)


Corresponding angles
(a + d) + b = 180° (Interior angles)

Answer:
sure but you didn't upload a picture...