Answer:
C
Step-by-step explanation:
The n th term formula of a geometric sequence is
= a 
where a is the first term and r the common ratio
Using the second and fourth term, then
ar = 6 → (1)
ar³ = 54 → (2)
Divide (2) by (1)
=
= 9
r² = 9 ⇒ r =
= 3 → C
Answer:
B
Step-by-step explanation:
Use the distance formula in 3 dimensions
d = 
with (x₁, y₁, z₁ ) = (3, 4, 10) and (x₂, y₂, z₂ ) = (8, 4, - 2)
d = 
= 
= 
= 
= 13 → B
Answer:
C. The president rejects the hypothesis that the proportion of students who earn a bachelor's degree within six years is 0.398, when, in fact, the proportion is 0.398.
Step-by-step explanation:
A type I error occurs if you reject the null hypothesis when it is true.
Now the hypotheses are:

The proportion is 0.398

The proportion is less than 0.398
If in actual fact the proportion is 0.398, then the president must not reject the

.
This is a correct decision.
If in actual fact the proportion is 0.398, and the president rejects the

, then a type I error is committed.
The correct choice is C.
Answer x=-14.
Step-by-step explanation:
4+x/7
4+ -14/7
4+-2
2