Answer:
a. mean = 1000
standard deviation = 4358.9
b. expected value of average damage bar Y = 1000
probability bar y exceeds 2000 = 0.011
Step-by-step explanation:
we have p1 = 95%, y1 = 0, p2 = 5%, y2 = 20000
Mean = (0.95 * 0) + (0.05 * 20000)
= 1000
var(y) = E(y²) - E(Y)²
= we solve for E(y)²
= 0²*0.95 + 20000²*0.05
= 0 + 20000000
then the variance of y = 20000000 - 1000²
=20000000-1000000
= $19000000
standard deviation is the square root of variance
= √19000000
= 4358.9
2.
a. Expected value of average is also the mean = 1000
b. we are to find probability that barY exceeds 2000
= 1000/435.889
= 2.29
1-p(z≤2.29)
= 1 - 0.989
= 0.011
so the probability that barY exceeds 2000 is 0.011
Answer:
Step-by-step explanation:
(A) The given statement is:A square is a parallelogram-------A square is always a parallelogram (By properties of parallelogram)(B) The given statement is:A rectangle is a trapezoid----------A rectangle is never a trapezoid.(C) The given statement is:A rhombus is a square--------A rhombus is sometimes a square.(D) The given statement is:A quadrilateral is a kite--------A quadrilateral is sometimes a kite.
If 9/10 tons of gravel got spread over 3 feet, then how much gravel is on each foot? Well, it's a ratio.
9/10 tons : 3 ft
So, we divide each side of the ratio by 3.
3/10 tons : 1 ft.
So, that 3/10 tons of gravel on each foot of road.
Solution:
<u>Note that:</u>
- Area = Base x Height
- Perimeter = Sum of all sides
<u>Finding the area of the parallelogram:</u>
- Area = Base x Height
- => Area = 9.2 x 3.8
- => Area = 34.96 cm²
<u>Finding the perimeter of the parallelogram:</u>
- Perimeter = Sum of all sides
- => Perimeter = 2(4.1) + 2(9.2)
- => Perimeter = 26.6 cm
Correct option is D.
No. No. It is not linear because the slope has to be able to be plugged in to any x, y coordinates and be placed on the line.
