Answer:age of the man: 75 age of the woman:25
Step-by-step explanation:
First, We need to define the variables
x: age of the man
y: age of the woman
at the first time he has three times her age
x=3y (1)
in 25 years time
(x+25)=2(y+25) (2)
we clear the equation
X+25=2y+50
X=2y+25
we substitute in the (1) equation:
2y+25=3y
y=25
x=3*25=75
Check the picture below.
now, keep in mind that ship B is going at 20kph, thus from noon to 4pm, is 4 hours, so it has travelled by then 20 * 4 or 80 kilometers, thus b = 80.
whilst the ship B is moving north, the distance "a" is not really changing, and thus is a constant, that matters because the derivative of a constant is 0.
Answer:
- (2^9)
Step-by-step explanation:
-(2^6)(2^3)
We know a^b * a^c = a^( b+c)
- ( 2 ^ (6+3))
- (2^9)
Answer:
63 cm^2
Step-by-step explanation:
p = l + w + l + w
32 = 2l + 2w
32 = 2(w + 2) + 2w
32 = 2w + 4 + 2w
32 = 4w + 4
28 = 4w
7 = w
l = w + 2
l = 7 + 2
l = 9
Check your work:
32 = 9 + 7 + 9 + 7
32 = 32
Correct
A = l × w
A = 9 × 7
A = 63
Answer:
The probability that the selected person is a woman engineering major is 0.0396.
Step-by-step explanation:
The proportion of students at the university who are women is 0.42.
<em>P (W) = 0.42</em>
The proportion of students at the university who are engineering majors is 0.18.
<em>P (E) = 0.18</em>
The proportion of engineering majors that are women is 0.22.
<em>P (W|E) = 0.22</em>
The proportion of students at the university that are woman and engineering major is:

Thus, the probability that the selected person is a woman engineering major is 0.0396.