Answer:
a. E(x) = 3.730
b. c = 3.8475
c. 0.4308
Step-by-step explanation:
a.
Given
0 x < 3
F(x) = (x-3)/1.13, 3 < x < 4.13
1 x > 4.13
Calculating E(x)
First, we'll calculate the pdf, f(x).
f(x) is the derivative of F(x)
So, if F(x) = (x-3)/1.13
f(x) = F'(x) = 1/1.13, 3 < x < 4.13
E(x) is the integral of xf(x)
xf(x) = x * 1/1.3 = x/1.3
Integrating x/1.3
E(x) = x²/(2*1.13)
E(x) = x²/2.26 , 3 < x < 4.13
E(x) = (4.13²-3²)/2.16
E(x) = 3.730046296296296
E(x) = 3.730 (approximated)
b.
What is the value c such that P(X < c) = 0.75
First, we'll solve F(c)
F(c) = P(x<c)
F(c) = (c-3)/1.13= 0.75
c - 3 = 1.13 * 0.75
c - 3 = 0.8475
c = 3 + 0.8475
c = 3.8475
c.
What is the probability that X falls within 0.28 minutes of its mean?
Here we'll solve for
P(3.73 - 0.28 < X < 3.73 + 0.28)
= F(3.73 + 0.28) - F(3.73 + 0.28)
= 2*0.28/1.3 = 0.430769
= 0.4308 -- Approximated
There is a pattern of -2, -6, so the next number is 20.
Answer: 
Explanation:
Please follow the diagram in attachment.
As we know median from vertex C to hypotenuse is CM
We are given length of CG=4
Median divide by centroid 2:1
CG:GM=2:1
Where, CG=4
ft
Length of CM=4+2= 6 ft
In 
Using trigonometry ratio identities
ft
ft
ft
In 
Using pythagoreous theorem
Length of AG=2/3 AN
ft
Answer:
$3,929.25.
Step-by-step explanation:
First, calculate the total commission. That's found by multiplying the selling price ($155,000) by 0.065. The result: The total commission is $10,075.
Your company receives 60% of that. So we multiply $10,075 by 0.60, obtaining $6,045.
Your share of the commission is 65% of that, so we multiply $6,045 by 0.65:
0.65($6,045) = $3,929.25.
Your personal share of the commission is thus $3,929.25.
You set (x+15) equal to 40 and solve for x.
x+15=40
-15 -15
x=25
Hope this helps!
