Expected Mean, E(X), is obtained by multiplying each pair of
and its
and add up the answers
E(X) = (0×0.7) + (1×0.2) + (2×0.1) = 0.4
The formula to calculate the variance, Var(X), is given by E(X)² - (E(X))²
E(X²) = (0²×0.7) + (1²×0.2) + (2²×0.1) = 0+0.2+0.4 = 0.6
(E(X))² = (0.4)² = 0.16
Var(X) = 0.6 - 0.16 = 0.44
Translating these answers into the context we have
E(Y) = 0.4×500 = $200
Var(Y) = $110
"17 less than" implies subtraction of the product of 3 and m, so the equation would be, if solving for x:
x=3m-17
Answer:
12:00 am midnight
Step-by-step explanation:
Given;
I can read a 336-page book in 6 hours.
My rate r1 = 336/6 pages per hour = 56 pages per hour
Jayne can read a 144-page book in 3 hours.
Jayne rate r2 = 144/3 = 48 pages per hour
If I start reading a 5000-page book at noon and Jayne starts reading the same book at 10 AM
Taking 10 am as the reference time.
Let x represent the time from 10 am at which they would both be on the same page.
For me;
Since i started by noon; 2 hours after 10 am
Time t1 = x-2
For Jayne;
She started by 10 am
Time t2 = x
For them to be on the same page they must have read the same number of pages;
Number of pages read = rate × time
r1(t1) = r2(t2)
Substituting the values;
56(x-2) = 48(x)
56x - 112 = 48x
x(56-48) = 112
x = 112/(56-48)
x = 14 hours
Since 10 am is the reference, the time would be;
=10 am + x = 10 am + 14 hours
= 24:00
= 12:00 am midnight
Answer:
-3(r-2)/2
Step-by-step explanation:
r/
2
−
2
r
+
6
−
3
r
/2
−
2
r⋅
2/
2+
6
−
3
r/
2
+
−
2r
⋅
2/
2
+
6
−
3
r
−
2
r
⋅
2
/2
+
6
⋅
2/
2
+
−
3
⋅
2/
2
r
−
2
r
⋅2
+
6⋅
2
−
3
⋅
2
/2
r
−
4
r
+
12
−
6
/2
−3
(
r
−
2
)
/2
Hope that helps! Plz, mark brainiest! :D
Have a great day!
Answer:
4
Step-by-step explanation:
First off, integers are Whole Numbers (1,2,3,4, etc), so we are rounding the answer to the nearest whole number.
The square root of lets just say 25 means you are finding a number that multiplied by itself will equal 25 (the answer is 5).
Now for 13, there is no perfect square, however the closest whole number that multiplied by itself to 13 is 4.
4*4= 16
3*3=9
5*5=25
As you can see above 4 is the closest number to 13.
Now, the ACTUAL value of the square root of 13 is 3.60555128, but we are rounding up to the nearest whole number which is 4 :)
