It doesn't change because to add fractions, you need a common denominator. To find it, they multiplied 1/3 by 2 to make 2/6, to add to the 3/6.
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
Answer:
59y+1
Step-by-step explanation:
25 + 8 (7y - 3) + 3y
Distribute
25+56y-24+3y
Combine like terms
59y+1
Answer:
16% is 4/25 15% is 3/20 14% is 7/50 13% is 13/100 12% is 3/25 11% is 11/100 10% is 1/10 9% is 9/100 8% is 2/25 7% is 7/100 6% is 3/50 5% is 1/20 4% is 1/25 3% is 3/100 2% is 1/50 and 1% is 1/100
Step-by-step explanation:
If you want to find a percent you have to put that number over 100 so say I was looking for 20% you would put 20/100 then you would reduce by dividing if they can and both can be divided by two so it would then be 10/50 then those can be divided by 10 so it would be 1/5
<u><em>Answer:</em></u>
575% as a mixed number is 
<u><em>Explanation:</em></u>
575% is equivalent to 
which is equal to 5.75
5.75 = 5 + 0.75
0.75 can be written as 
. This value can be simplified by dividing both the numerator and the denominator by 25. This would give us 
<u>Back to our number:</u>
Hope this helps :)
