The value of cumulative frequency is the sum of all previous frequencies. We should have 26 at the end of the table because all frequency add up to 26
To graph the cumulative frequency, we would need the plots.
Use the end of value range against the cumulative frequency valueRange 40-49, use the value 49 against the cumulative frequency 1
(49, 1)(59, 3)(69, 5)(79, 12)(89, 21)(99, 26)
Plot these on graph and connect them as a curve.
Compute the volume of :
Integrate over :
So the average value of over is 2/(4/3) = 3/2.
Answer:
angle 1 + angle 2 = 100
angle 1 = 40
angle 2 = 60
angle 3 = 120
Step-by-step explanation:
Plug -1 for x. So
2(-1)^4 + 3(-1)^3 - (-1)^2
2(1)+3(-1)+1
2-3+1
0
Answer:
x = -6√3 or 4√3
Step-by-step explanation:
x² + 2√3 x − 72 = 0
Solve with quadratic formula, or completing the square.
To use completing the square, we first add 72 to both sides:
x² + 2√3 x = 72
Take half of 2√3, square it, then add to both sides.
x² + 2√3 + 3 = 75
Factor the perfect square:
(x + √3)² = 75
Solve for x:
x + √3 = ±√75
x + √3 = ±5√3
x = -√3 ± 5√3
x = -6√3 or 4√3
According to Vieta formula, the sum of the roots should equal b/a, and the product of the roots should equal c/a.
-6√3 + 4√3 = 2√3
-6√3 × 4√3 = -72