There are different formulas for calculating the two types of compound events: Say A and B are two events, then for mutually exclusive events: P(A or B) = P (A) + P(B). For mutually inclusive events, P (A or B) = P(A) + P(B) - P(A and B).
Answer:
x < -3/4 OR x>16/5
Step-by-step explanation:
5x – 4 > 12 OR 12x+5 < -4
Solve the parts separately and then put back together
5x – 4 > 12
Add 4 to each side
5x-4+4>12+4
5x >16
Divide each side by 5
5x/5>16/5
x > 16/5
12x+5 < -4
Subtract 5 from each side
12x+5-5<-4-5
12x<-9
Divide each side by 12
12x<-9/12
x <-3/4
Put back together
x < -3/4 OR x>16/5
x = # of ham sandwiches
14-x = # of turkey sandwiches ( as Lexi made 14 sandwiches)
as the question said that the number of ha sandwiches are 4 less than twice number of turkey sandwiches,
x = 2 * (14-x) - 4 = 24 - 2x
3x=24
x = 8
the number of ham sandwiches is 8, and the number of turkey sandwiches is 14-8=6
Answer:
Volume of cylinder is 6285.71 square units.
Step-by-step explanation:
Given the radius of cylinder 10 units. The height is twice its radius. we have to find its volume.
r=10 units
⇒ Diameter, d = 20 units
Also given height is twice its radius.
⇒ Height=2(r)=2(10)=20 units
<h2><em><u>Volume of cylinder=πr^2h</u></em></h2>
= 22/7 × 100×20
=22/7 × 2000
= 44000/7
= 6285.71square units.
hence, volume of cylinder is 6285.71 square units.
