Answer: 18
Step-by-step explanation: 5m - 7 = 6m + 11
Solve for M
5m - 6m = 11+ 7
-m = 18
Divide both sides by -1
-m/-1 = 18/-1
m = -18
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
The formula for compounded interest is A = P (1+r/n)^nt.
P=580
r = .09
n = 1
t = 9
<span>
To find how much the balance is at the end of nine years, plug in all of the knows into the formula.</span>
A = 1259.698 is how much the balance will be. (Rounded to 1259.70 if you round to the nearest cent).
Answer:
six and eight hundred fourty-seven thousandths
Step-by-step explanation:
6 + 0.8 + 0.04 + 0.007 is called extended form, six and eight hundred fourty-seven thousandths is called word form.
It is proportional because we increase y.
