Answer:
standard deviation is 2.886 [expected points]
Step-by-step explanation:
Let x is number of points scored so that given target uniformly dstributed between 0 and 10
clearly X uniform(0,10)
mean is defined as 
we know that variance is given as 
= 8.333
therefore standard deviation is 
standard deviation is 2.886 [expected points]
Answer:
The processing fee will cost $8.76
Step-by-step explanation:
the price after the discount:
20% = 0.2
100% = 1
1 - 0.2 = 0.8
0.8
$73 • 0.8 = $58.4
cost of processing fee:
15% = 0.15
$58.4 • 0.15 = $8.76
The answer is $100
first the guy steals $100 from the owner. Therefore that $100 is a direct loss for the owner.
the same guy comes and pays $100 for goods worth $70. and the balance is paid back to the guy.
So the owner gets 100 and pays back 30 and gives goods worth 70. Therefore that transaction is cancelled as the amounts have been paid and no net effect with that transaction . the owner gets 70 for the goods he sold so that transaction wont lose his money. the fact that the guy paid for the bill with the money he stole isn't relevant here as the transaction has been completed
so the only loss for the owner is the $100 the guy stole at first
answer is $100
Answer: 89
43 + x = 132 => Exterior Angle Theorem
^
The measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles. That means the two remote interior angle add up to the exterior angle.
x = 89
**To find the last angle: 89 + 43 + x = 180 => Triangle Sum Theorem states that the interior angles of a triangle add up to 180. The last angle would be 48.**
