Answer:
-1/8
Step-by-step explanation:
Answer:
RS = 5
Step-by-step explanation:
Since R is between Q and S , then
QS = QR + RS , that is
6x - 3 = 3x - 2 + 2x + 1
6x - 3 = 5x - 1 ( subtract 5x from both sides )
x - 3 = - 1 ( add 3 to both sides )
x = 2
Then
RS = 2x + 1 = 2(2) + 1 = 4 + 1 = 5
Answer:

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

And for this case using a significance level of
we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
Step-by-step explanation:
For this case we want to test the following system of hypothesis:
Null hypothesis: 
Alternative hypothesis: 
The statistic for this case is given by:
(1)
And for this case we know that the statistic is given by:

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

And for this case using a significance level of
we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
The probability of picking a black ball first is

, because there are 4 black balls and 1 white ball which is 5 balls in total. After picking the first ball, 4 balls remain - 3 black and 1 white, so the probability of picking a white ball is

.
So, the probability of picking a black ball first followed by a white ball is
you have 10 fish and 3 died (must not have been taking very good care of them ?), but it didnt say that you cleaned them out ...
so you still have 10 fish in the tank
8 more got put in, so 10 + 8 = 18 fish
2 died but you STILL didnt take them out, so you have 18 fish in the tank now.