Answer:
21
Step-by-step explanation:
Given,
- Number of red marble = 4
- number of green marble = 3
- number of transparent marble = 1
- number of yellow marble = 3
- number of orange marble = 3
Total number of marble except red and green = 3 +3+1
= 7
So, the total number of possible sets of five marbles such that none of them are green or red can be given by




= 21
So, the required number of possible sets are 21.
Answer:
19 beers must be sampled.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 1.645.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.
This means that 
If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?
This is n for which M = 0.1. So






Rounding up:
19 beers must be sampled.
A line on this coordinate plane is horizontal when every input (x) has the same output y).
This function always gives the same output with no matter what input you put it in.