Answer:
2.622
Step-by-step explanation:
Answer:
Step-by-step explanation:
- log 2x + log (x - 5) = 2
- log (2x(x - 5)) = 2
- 2x(x - 5) = 10²
- 2(x² - 5x) = 100
- x² - 5x - 50 = 0
- x² + 5x - 10x - 50 = 0
- x(x + 5) - 10(x + 5) = 0
- (x - 10)(x + 5) = 0
- x = 10
- x = -5, this root is discounted as log should be positive.
Correct choice is 3.
Answer:
system of equations are
y=53x + 10, y=55x
Step-by-step explanation:
y=mx+b where x is the number of tickets purchased and y is the total cost.
We need to frame the equation for each option
Option 1: $53 for each ticket plus a shipping fee of $10
1 ticket cost = 53
So x tickets cost = 53x
shipping fee = $10 so b= 10
So equation becomes y=53x + 10
Option 2: $55 for each ticket and free shipping
1 ticket cost = 55
So x tickets cost = 55x
shipping fee =0 so b= 0
So equation becomes y=55x
Given that the player made 184 out of 329 throws, the probability of making the next throw will be:
P(x)=[Number of shots made]/[Total number of throws]
=184/329
=0.559
Thus the expected value of proposition will be:
0.599*24+0.559*12
=20.134
$23.58 divided by 12 = $1.965
Each roll is about $1.97 (if you round up)
