Answer:

Step-by-step explanation:
Since the sequence is geometric (it multiplies the previous number each time). The nth term sequence would be 
Because the sequence multiplies by 3 each time, The base number in that equation would be
.
So
of the equation would be:
.
Compare the 2 equations:
4, 12, 36
3, 9 ,27
The difference between the 2 equations is: 1, 3, 9 which itself is a geometric sequence so the nth term of this new equation is:
.
Combine these 2 equations together and you get:
.
Answer:
0.572
Step-by-step explanation:
From the question,
We have
n = 1090 of US adults
x = 623 selected from this population at random who consider the occupation to be one of great prestige
So we have that
The probability of X = x/n
= 623/1090
= 0.572
We conclude that 0.572 is the probability that a US adult selected at random thinks the occupation has great prestige.
Answer: 1/3*2*2=2/6
Step-by-step explanation:
Hope this helps
Out of the 3 points, only ABC are collinear. Hence, only ABC can be chosen. The chances of choosing ABC out of ABCD is 1/4. Hence, the probability is 25%.
Step-by-step explanation:
an angle that is complementary to one of the interior angles of the triangle because interior angle+exterior angle add up to 180°