<span>Expected value is the sum of the probability of each even times the outcome of the event.
So she wins $10 with probability 2/8, $3 with probability 1/8, $0 with probability 3/8, and loses $3 with probability 2/8.
So,
E = 10(2/8) + 3(1/8) + 0(3/8) - 3(2/8)
=5/4 + 3/8 - 3/4
=7/4
<span>= $1.75
</span>
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Answer:
$2.5
Step-by-step explanation:
A discount reduces the price of a good. It makes the good cheaper
discount received = percentage of discount x price of the good
0.1 x $25 = $2.5
The shirt would be $2.5 cheaper
Answer:
90°, 78°, 12°
Step-by-step explanation:
let the third angle be x then the second angle is 7x - 6
Since 1 of the angles in the triangle is 90° then the second and third angles sum to 90° , then
x + 7x - 6 = 90
8x - 6 = 90 ( add 6 to both sides )
8x = 96 ( divide both sides by 8 )
x = 12
Then
second angle = 7x - 6 = 7(12) - 6 = 84 - 6 = 78°
The 3 angles are 90°, 78°, 12°
Answer:
Aman's age = 20, Arun's age = 28
Step-by-step explanation:
Let = Aman's age
Let = Arun's age
- - - -
(Sum of their age is 56 after 4 years in the future)
(Ages are in the ratio 5:7)
Now, we can use substitution to find for Arun's age:
∴ Arun is
To find for Aman's age, we can use substitution:
∴ Aman is 20
Hope this helps :)