Answer:
1. P(S) = 373/580
2. P(S|A) = 53/116
3. P(S|Pa) = 481/580
Step-by-step explanation:
Given
---------------------Sale ----- No Sale-----Total
Aggressive ----265 --------315 ----------580
Passive ----------481 ---------99 -----------580
Total --------------746---------414------------1160
A = aggressive approach,
Pa = passive approach,
S = sale,
N= no sale.
(a) Computing P(S)
This is calculated as the division of customers that participated in sales by total customers
Customers that participated in sales = 265 + 481 = 746
Total Customers = 1160
P(S) = 746/1160
P(S) = 373/580
b.
P(S|A) means that the probability that a sales occur given that the aggressive method was used.
To solve this, we check the cell where Sales and Aggressive intersect
The cell element = 265
Total = 580
P(S|A) = 265/580
P(S|A) = 265/580
P(S|A) = 53/116
c.
P(S|Pa) means that the probability that a sales occur given that the passive method was used.
To solve this, we check the cell where Sales and Passive intersect
The cell element = 481
Total = 580
P(S|Pa) = 481/580
Answer:
x = - 5, x = - 1
Step-by-step explanation:
Given
- 3 | 2x + 6 | = - 12 ( divide both sides by - 3 )
| 2x + 6 | = 4
The absolute value always returns a positive value, but the expression inside can be positive or negative, that is
2x + 6 = 4 ( subtract 6 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
OR
- (2x + 6) = 4 ← distribute left side
- 2x - 6 = 4 ( add 6 to both sides )
- 2x = 10 ( divide both sides by - 2 )
x = - 5
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = - 1 → - 3| - 2 + 6 | = - 3 | 4 | = - 3 × 4 = - 12 ← True
x = - 5 → - 3 | - 10 + 6 | = - 3 | - 4 | = - 3 × 4 = - 12 ← True
Thus x = - 5 and x = - 1 are the solutions
Answer:
(0.707,0.707) and (-0.707, -0.707)
Step-by-step explanation:
use a calculator
12.5 x10^7
To multiply by 10^7, move the decimal 7 place values to the right and fill in with all necessary zeros.
Final answer: 125,000,000
No, the perimeter equals, 10.55 yd. Add all of the sides together.
