Answer:
the probability that 0≤x≤1/2 and 1/4≤y≤1/2 is 3/64 (4.68%)
Step-by-step explanation:
assuming that X and Y are independent variables for the probability density function f(x,y) :
f(x,y) = 4*x*y for 0≤x≤1 and 0≤y≤0
f(x,y) = 0 elsewhere
then the probability is calculated through:
P(x,y)= ∫f(x,y) dx dy = ∫4xy dx dy
for 0≤x≤1/2 and 1/4≤y≤1/2 we have
P(0≤x≤1/2,1/4≤y≤1/2 ) = ∫4xy dx dy = ∫4xy dx dy = 4*∫x dx ∫y dx = 4*[((1/2)²/2-0²/2)] *[(1/2)²/2-(1/4)²/2)] = 1 * 1/4 * (1/4-1/16) = 1 * 1/4 * 3/16 = 3/64
then the probability that 0≤x≤1/2 and 1/4≤y≤1/2 is 3/64 (4.68%)
Answer:
10 (8-x)(8+x)
Step-by-step explanation:
640-10x^2
Factor out 10
10 (64 - x^2)
Notice that inside the parentheses is the difference of squares
10 ( 8^2 - x^2) and a^2 - b^2 = (a-b) (a+b)
10 (8-x)(8+x)
Pi rounded to a whole number would equal three. Circumference equals 2pi*r. The radius in this case is half of the diameter, so 4.5 cm. 2 times pi, or three equals 6 times 4.5 is 27
Answer:
(3)(5) + (1/3)(5) + (3)(1/4) + (1/3)(1/4)
Step-by-step explanation:
(3 1/3)(5 1/4) =
= (3 1/3)(5 + 1/4)
= (3 1/3)(5) + (3 1/3)(1/4)
= (3 + 1/3)(5) + (3 + 1/3)(1/4)
= (3)(5) + (1/3)(5) + (3)(1/4) + (1/3)(1/4)
The Jenkins family originals come from father Leroy Jenkins
