Answer: You have a better chance if you do not replace the red marble.
Step-by-step explanation:
The bag has:
5 red marbles
8 blue marbles
4 yellow marbles
3 green marbles
A total of 5 + 8 + 4 + 3 = 20
You want to draw a red marble and then a blue marble.
The probability of drawing a red marble in your first attempt is the number of red marbles divided the total number of marbles:
P1 = 5/20
now you want to draw a blue marble.
If you replace the red marble, you have 20 marbles again in the bag, then the probability of drawing a blue marble is:
P2 = 8/20
The joint probability is P = P1*P2 = (5/20)*(8/20) = 0.1
If you do not replace the red marble, you have 19 total marbles in the bag, then the probability of taking a blue marble is:
P2 = 8/19
The joint probability is:
P = P1*P2 = (5/20)*(8/19) = 0.105
The probability is slightly bigger if you do not replace the red marble.
Answer:
this is true
Step-by-step explanation:
a supplementary angle adds up to 180 degrees. two accute angles would equal to around 90 and two obtuse angles would add up to more than 180. two right angles are perpendicular and they could work but since the question asks about acute and obtuse, its true that one angle must be acute and the other must be obtuse for it to add up to 180.
Answer:
The critical value that should be used in constructing the confidence interval is T = 1.316.
The 80% confidence interval for the mean waste recycled per person per day for the population of Montana is between 2.741 pounds and 2.859 pounds.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 26 - 1 = 25
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.316
The critical value that should be used in constructing the confidence interval is T = 1.316.
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 2.8 - 0.059 = 2.741 pounds
The upper end of the interval is the sample mean added to M. So it is 2.8 + 0.059 = 2.859 pounds.
The 80% confidence interval for the mean waste recycled per person per day for the population of Montana is between 2.741 pounds and 2.859 pounds.
1.75 Grams is what I got. Every 1 Milligram = 0.001 Gram.
Hope it helps :)