Answer:
d = 17
Step-by-step explanation:
d = √ (9 − 1) 2 + (15− 0)^2
d = √ (8) ^2 + (15) ^2
d = √ 64 + 225
d = √289
d = 17
Answer:
E. Each trial is independent
Step-by-step explanation:
I'm not completely sure why all binomial distribution trials are independent, but there are requirements for binomial distributions.
These requirements are:
- Each outcome is either a success (p) or a failure (Q)
- All trials are independent
- There are a fixed number of "n" trials
- The probability of success (p) is the same for each trial
I also just took the test and got this right.
Answer:

Step-by-step explanation:
The given function is

To find g(n-7), we substitute x=n-7 to obtain;

Expand the parenthesis to obtain;

Simplify:

Answer:
Carlos is 35 years old now
Step-by-step explanation:
Assume that Carlos is x years old now
∵ Carlos is x years old now
∵ Carlos is 33 years younger than Kristen
- Kirsten's age is the sum of x and 33
∴ Kirsten is x + 33 years old now
2 years ago
∵ Carlos's age = x - 2
∵ Kristen's age = x + 33 - 2 = x + 31
∵ Kristen's age was 2 times Carlos's age
- Equate Kristen's age by 2 times Carlos's age
∴ x + 31 = 2(x - 2)
- Simplify the right hand side
∴ x + 31 = 2x - 4
- Subtract x from both sides
∴ 31 = x - 4
- Add 4 to both sides
∴ 35 = x
∵ x represents Carlos's age now
∴ Carlos is 35 years old now