Answer:
2
Step-by-step explanation:
To find the common ratio, take the second term and divide by the first term
-14/-7 = 2
Check by dividing the third term by the second term
-28/-14 = 2
The common ratio is 2
Answer:
1035 feet
Step-by-step explanation:
Given:
OB = 900 m
«BOH = 49°
Find BH:
BH/BO =tan 49
BH = BO tan 49
BH = 900 * 1.15
BH = 1035
Answer:
(b) 
Step-by-step explanation:
When two p and q events are independent then, by definition:
P (p and q) = P (p) * P (q)
Then, if q and r are independent events then:
P(q and r) = P(q)*P(r) = 1/4*1/5
P(q and r) = 1/20
P(q and r) = 0.05
In the question that is shown in the attached image, we have two separate urns. The amount of white balls that we take in the first urn does not affect the amount of white balls we could get in the second urn. This means that both events are independent.
In the first ballot box there are 9 balls, 3 white and 6 yellow.
Then the probability of obtaining a white ball from the first ballot box is:

In the second ballot box there are 10 balls, 7 white and 3 yellow.
Then the probability of obtaining a white ball from the second ballot box is:

We want to know the probability of obtaining a white ball in both urns. This is: P(
and
)
As the events are independent:
P(
and
) = P (
) * P (
)
P(
and
) = 
P(
and
) = 
Finally the correct option is (b) 
For this case we have the following expression:

We must find the value of the expression when:

Substituting we have:

Finally, the value of the expression is:

ANswer:
