Answer:
-$9.6
Step-by-step explanation:
X : ___ 1000 ____600 ____300 ___200
P(x): __ 1/1000 _ 2/1000 _ 2/1000 _ 5/1000
Expected winning per ticket :
Σ(X * p(X)) = [(1000 * 1/1000) + (600 * 2/1000) + (300 * 2/1000) + (200 * 5/1000) - price per ticket
= 1 + 1.2 + 0.6 + 1 - 7
= 3.8 - 7
= - $3.2
Expextwd winning if 3 tickets Is purchased :
3 * - 3.2= - $9.6
So lets say the distance one boy travels is 'x', you can set up an equation like this:
x + x + 1 = 7
2x +1 = 7
2x = 6
x = 3
So one boy walks 3 miles in one hour, and the other walks 4 miles in one hour.
Therefore, their speeds are 3 miles per hour and 4 miles per hour respectively.
Answer:
from central limit theorem ,correct options are:
First, a bit of housekeeping:
<span>The meaning of four consecutive even numbers is 15. Wouldn't that be "mean," not meaning? Very different concepts!
The greatest of these numbers is _______ a^1
"a^1" means "a to the first power. There are no powers in this problem statement. Perhaps you meant just "a" or "a_1" or a(1).
The least of these numbers is ______a^2.
No powers in this problem statement. Perhaps you meant a_2 or a(2)
In this problem you have four numbers. All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).
The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers. Here this mean is 15. The mean is most likely positioned between b anc c.
So here's what we have: a+b+c+d
------------- = 15
4
This is equivalent to a+b+c+d = 60.
Since the numbers a, b, c and d are consecutive even integers, let's try this:
a + (a+2) + (a+4) + (a+6) = 60. Then 4a+2+4+6=60, or 4a = 48, or a=12.
Then a=12, b=14, c=16 and d=18. Note how (12+14+16+18) / 4 = 15, which is the given mean.
We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.
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