Answer:
(1/4)*(e⁶ - 7)
Step-by-step explanation:
a) Given
x − y = 0 if x = 0 ⇒ y = 0
x − y = 2 if x = 0 ⇒ y = -2; if y = 0 ⇒ x = 2
x + y = 0 if x = 0 ⇒ y = 0
x + y = 3 if x = 0 ⇒ y = 3; if y = 0 ⇒ x = 3
then we show the region R in the pics 1 and 2.
b) We make the change of variables as follows
u = x + y
v= x - y
If
x - y = 0 ⇒ v = 0
x − y = 2 ⇒ v = 2
x + y = 0 ⇒ u = 0
x + y = 3 ⇒ u = 3
Where u is the horizontal axis and v is the vertical axis, the new region S is shown in the pic 3.
c) We evaluate ∫∫R (x + y)*e∧(x² - y²)dA
The procedure is shown in the pic 4, where we have to calculate the Jacobian in order to use it to get the answer.
Answer: the probability that the person is between 65 and 69 inches is 0.54
Step-by-step explanation:
Since the height for Asian adult males is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = height for Asian adult males.
µ = mean height
σ = standard deviation
From the information given,
µ = 66 inches
σ = 2.5 inches
We want to find the probability that the person is between 65 and 69 inches. It is expressed as
P(65 ≤ x ≤ 69)
For x = 65
z = (65 - 66)/2.5 = - 0.4
Looking at the normal distribution table, the probability corresponding to the z score is 0.34
For x = 69
z = (69 - 66)/2.5 = 1.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.88
Therefore,
P(65 ≤ x ≤ 69) = 0.88 - 0.34 = 0.54
Answer: look up alaskan pipeline
Step-by-step explanation:
I think the answer is c but i could definitely be wrong sorry
The tenth digit = 4 and hundredth = 3 so 4 stays
answer
2.4