Answer: Hi!
To solve this equation, we first distribute to the terms inside of the parentheses.
10*4 = 40
10*-3i = -30i
Our equation now looks like this:
40 - 30i
There is nothing left to simplify, so you're done!
Hope this helps!
Answer:
We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:
Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
Information provided
n=100 represent the random sample ofcollege senior selected
X=53 represent the college seniors who say good
estimated proportion of seniors who think their job prospects are good
is the value that we want to test
z would represent the statistic
represent the p value
System of hypothesis
We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we have:
The p value for this case would be given by
Answer:
2,973
Step-by-step explanation:
The black bear population B(t), in the park is modeled by the following function:

Where t is the time(in years) elapsed since the beginning of the study.
We want to determine the black bear population in 25 years time, t=25.

There will be 2,973 black bears in 25 years time.
- you can use the pythagorean theorem for this.
a^2 + b^2 = c^2
12^2 + 16^2 = c^2
144 + 256 = c^2
400 = c^2
- square root this.
c = 20
therefore, x = 20.
so option C.