Answer:
1
Step-by-step explanation:
An event that is certain to happen has a probability of 1.
Answer:
x = -6
Step-by-step explanation:
2 - 3(x + 4) = 8
=> 3(x + 4) = 2 - 8 = -6
=> x + 4 = -6/3 = -2
=> x = -2 - 4 = -6
Answer:
The probability of choosing a yellow marble is 2/13
Step-by-step explanation:
There are 2 yellow and 11 blue marbles in the bag or a total of 13 marble
P(yellow) = number of yellow marbles / total marble
= 2/13
The probability of choosing a yellow marble is 2/13
Answer:
18
Step-by-step explanation:
58 - |-40| =
58 -40=
18
Answer:
> a<-rnorm(20,50,6)
> a
[1] 51.72213 53.09989 59.89221 32.44023 47.59386 33.59892 47.26718 55.61510 47.95505 48.19296 54.46905
[12] 45.78072 57.30045 57.91624 50.83297 52.61790 62.07713 53.75661 49.34651 53.01501
Then we can find the mean and the standard deviation with the following formulas:
> mean(a)
[1] 50.72451
> sqrt(var(a))
[1] 7.470221
Step-by-step explanation:
For this case first we need to create the sample of size 20 for the following distribution:

And we can use the following code: rnorm(20,50,6) and we got this output:
> a<-rnorm(20,50,6)
> a
[1] 51.72213 53.09989 59.89221 32.44023 47.59386 33.59892 47.26718 55.61510 47.95505 48.19296 54.46905
[12] 45.78072 57.30045 57.91624 50.83297 52.61790 62.07713 53.75661 49.34651 53.01501
Then we can find the mean and the standard deviation with the following formulas:
> mean(a)
[1] 50.72451
> sqrt(var(a))
[1] 7.470221