V = 4/3(pi)(r^3)
V = 4/3(pi)(4.2^3)
V = 310 cm^3
Good luck!
Answer:
B) x = (-3/5)y + 3
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
first, subtract 3y from btoh sides:
5x + 3y (-3y) = 15 (-3y)
5x = -3y + 15
Next, divide 5 from both sides:
(5x)/5 = (-3y +15)/5
x = (-3/5)y + 3
B) x = (-3/5)y + 3 is your answer.
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When given a function and asked to find the value of a number, in this case g(12), simply plug 12 into all x places in the equation:
g(12)=3(12+8)
g(12)=36+24
g(12)=60
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
In order for the curve to move upwards from left to right as shown the log and x values need to be negatives. The curved line crosses the x axis to the right of the origin, so there needs to be a positive value added to x.
The answer is d. F(x) = -4log(-x+4)