Answer:
h=1ft
Step-by-step explanation:
The volume of a cone is:
v=πr^h/3
plug in the values (I am assuming not 1/18π but 1/18×π):
1/18π= π1/3^2h/3
Get rid of the radius:
1/3^2=1/9
Continue:
π/18= πh/3*1/9= πh/18
Remove the denominators:
π=πh
Divide both sides by π :
h=1
QUESTION A
The probability of an event is calculated using the formula:
There are 4 nines in a standard deck of cards. Therefore, there are 48 cards that are not nines.
Since there are 52 cards, the probability is calculated to be:
The probability is 12/13.
QUESTION B
Odds in favor of a particular event are given by the number of favorable outcomes to the number of unfavorable outcomes. The formula is written out to be:
Since we have that the number of favorable outcomes is 48 and the number of unfavorable outcomes is 4, we have that the odds in favor are given to be:
The odds are 12 to 1.
Answer:
- (3, 4) is the solution to both lines A and B.
Step-by-step explanation:
<u>Given</u>
- Line A with points (2, 6) and (5, 0)
- Line B with points (0, 2) and (6, 6)
<u>Lets get the equations for both lines</u>
Line A
- y = mx + b
- m = (0 - 6)/( 5 - 2) = -2
- 6 = 2*(-2) + b ⇒ b = 6+ 4 = 10
- y = - 2x + 10
Line B
- m = (6 - 2)/( 6 - 0) = 4/6 = 2/3
- b = 2 as per point (0, 2)
- y = 2/3x + 2
<u>We got two equations:</u>
- y = -2x + 10
- y = 2/3x + 2
<u>Solving the system:</u>
- -2x + 10 = 2/3x + 2
- 8/3x = 8
- x = 3 ⇒ y = 4
- (3, 4)
<u>Verifying answer options</u>
- (3, 4) is the solution to both lines A and B. YES
- (3, 4) is the solution to line A but not to line B. NO
- (0, 2) is the solution to both lines A and B. NO
- (0, 2) is the solution to line A but not to line B. NO
X-12=-4
x=-4+12
x=8
The answer is A
Just multiply .20 x 16.75 = 3.35
If you want the percent of something just move the decimal place over to the left twice and multiply it by the given price
