Marco does 70 extra math problems each week. 14(5)=70
Answer:
7 2/3 minutes
Step-by-step explanation:
We can write this equation in y = mx+b form
where m = 3 ft/min and b = -105 ft
x is the number of minutes and y is the depth
y = 3 * x -105
We want to find when y = -82
-82 = 3x -105
Add 105 to each side
-82+105 = 3x-105+105
23=3x
Divide by 3
23/3 = 3x/3
23/3=x
Changing into a mixed number
3 goes into 23 7 times with 2 left over
7 2/3 minutes
Answer:
=> 2.7 × 10³ × 8 × 10² / 4 × 10^-6
=> 2.7 × 8 × 10^3+2+6 /4
=> 5.4 × 10¹¹
5.4 × 10^11
Answer:
The expected value of the safe bet equal $0
Step-by-step explanation:
If
is a finite numeric sample space and
for k=1, 2,..., n
is its probability distribution, then the expected value of the distribution is defined as
What is the expected value of the safe bet?
In the safe bet we have only two possible outcomes: head or tail. Woodrow wins $100 with head and “wins” $-100 with tail So the sample space of incomes in one bet is
S = {100,-100}
Since the coin is supposed to be fair,
P(X=100)=0.5
P(X=-100)=0.5
and the expected value is
E(X) = 100*0.5 - 100*0.5 = 0
Answer:
(x, y) = (5, 1)
Step-by-step explanation:
To <em>eliminate</em> x, you can double the second equation and subtract the first.
... 2(x +4y) -(2x -3y) = 2(9) -(7)
...11y = 11 . . . . . simplify
... y = 1 . . . . . . divide by 11
Using the second equation to find x, we have ...
... x + 4·1 = 9
... x = 5 . . . . . subtract 4
_____
<u>Check</u>
2·5 -3·1 = 10 -3 = 7 . . . . agrees with the first equation
(Since we used the second equation to find x, we know it will check.)