Answer:
40 and 20
Step-by-step explanation:
- Uncle Jason's age = x
- Nephew Ralph age = y
<h3>Solution</h3>
<u>Age now:</u>
<u>Age 10 years ago: </u>
<u>Substituting x in the second equation:</u>
- 2y - 10 = 3y - 30
- 3y - 2y = 30 -10
- y = 20
<u>Then, finding x:</u>
<u>Answer:</u> Uncle Jason is 40 and nephew Ralph is 20 years old
Answer:
$58,45 or 5845 cents
Step-by-step explanation:
Weekly pay = 167 * 0.05 * 7 = $58.45 or 5845 cents
Answer:
Step-by-step explanation:
Graph 1:
A=(-9,5)
B=(7,4)
C=(-6,-3)
D=(0,-5)
E=(8,-8)
F=(0,7)
G=(0,-8)
H=(0,4)
I=(-3,-9)
J=(-4,2)
Graph 2:
K=(5,7)
L=(0,-9)
M=(1,3)
N=-7,-5)
O=(7,-1)
P=(0,-1)
Q=(2,-4)
R=(-9,6)
S=(-3,0)
T=(0,9)
(a) If <em>f(x)</em> is to be a proper density function, then its integral over the given support must evaulate to 1:
For the integral, substitute <em>u</em> = <em>x</em> ² and d<em>u</em> = 2<em>x</em> d<em>x</em>. Then as <em>x</em> → 0, <em>u</em> → 0; as <em>x</em> → ∞, <em>u</em> → ∞:
which reduces to
<em>c</em> / 2 (0 + 1) = 1 → <em>c</em> = 2
(b) Find the probability P(1 < <em>X </em>< 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):