Answer:
x=20 degrees
Step-by-step explanation:
complementary means the angles equal 90 degrees
so ∠A+∠B=90 degrees
∠A=3x-2 and ∠B=x+12
so subsitute
(3x-2)+(x+12)=90
then solve for x
4x+10=90
4x=80
x=20 degrees is your answer
Well subtract 8 from 1000 and then do that five times. so 992,984,976,968, and 960<span />
So, let’s represent the number as n:
n+7=2n+3
Subtract both sides by 3:
n+4=2n
Now by n:
2n=4
Divide:
n=2
The number is 2
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
<span>t – (–16.5) = –13.4
t + 16.5 = -13.4
t = (-13.4) + (-16.5)
t = -29.9
Anser is A. t = -29.9</span>