Answer:
Step-by-step explanation:
Hey there!!!
According to the question,
Angle P is three less than twice less of an angle Q.
Then, let angle Q be x then angle P is 2x-3.
Now, it has also given that they are supplementary angle.
We know that the sum of supplementary angle is 180°.
Therefore, x+ 2x - 3°=180°.
Or, 3x = 180°-3°
Or, x = 177°/3
Therefore the measure of angle Q is 59° and P is 2×59°-3°= 121°.
Hope it helps....
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
Answer:
x < -2
Step-by-step explanation:
its less than x, open circle
<span>The perimeter is 14.47
Since you have 3 vertices, the polygon you have is a triangle. The sides of the triangle will be XY, XZ, and YZ. Just use the pythagorean theorem to calculate the length of each side and then add the lengths together for the result.
Side XY = sqrt( (-1-3)^2 + (3-0)^2) = sqrt(16+9) = sqrt(25) = 5
Side XZ = sqrt ( (-1-(-1))^2 + (3-(-2))^2) = sqrt(0+25) = sqrt(25) = 5
Side YZ = sqrt( (3-(-1))^2 + (0-(-2))^2) = sqrt(16 + 4) = sqrt(20) = 4.47
Now add the length of each side together
5 + 5 + 4.47 = 14.47</span>
Answer:
Step-by-step explanation:
r=20/100=0.2<|1|
