Answer:
the Area is approximately 1
Step-by-step explanation:
Since
y=x^3
the area under a curve can be approximated to rectangles of width Δx and length y , then
Area = Sum of rectangles of width x and length = ∑ y *Δx
taking the width Δx=1 for each rectangle
Area = Sum of rectangles of width x and length= ∑ y = ∑ x^3
from x=0 to x=1 , there is only one rectangle of width Δx=1 , then
since ∑ x^3 from x=0 to x=n is n(n+1)/2]^2
Area = ∑ x^3 from x=0 to x=1 = 1(1+1)/2]^2 = 1
Note:
- The actual value of the area is calculated through the integral
Area= ∫ y dx = ∫ x^3 dx from x=0 to x=1 = 1⁴/4 = 1/4
Answer:
Step-by-step explanation:
3x +2y = 13 -----------------(i)
x + 2y = 7 ----------------(ii)
Multiply the equation (ii) by (-1) and then add.
(i) 3x + 2y = 13
(ii)*(-1) <u>-x - 2y = -7 </u> {Now, add and y will be eliminated}
2x = 6
x = 6/2
x = 3
Plug in x = 3 in equation (i)
3*3 + 2y = 13
9 + 2y = 13
2y= 13 - 9
2y = 4
y = 4/2
y = 2
Answer:
(a) 0.2824
(b) 0.0002441
Step-by-step explanation:
Assuming that the population is large enough to behave as a binomial distribution (between whites and non-whites), the probability of 12 out of 12 juros being white is:
Where p(w) is the proportion of the population that is white:
(a) for p = 0.90
The probability is 0.2824.
(b) for p = 0.50
The probability is 0.0002441.
Answer:
No am I right?
Step-by-step explanation:
I can't really explain why but I'm pretty sure it's no
Answer:
I'm pretty sure the first one is b