No, the sum of the lengths of any two sides must be greater than the length of the third side
Answer:
0.8213
Step-by-step explanation:
-This is a binomial probability problem given by the function:
Given that n=21 and p=0.2, the probability that she experience a delay on at least 3 days is calculated as:
Hence, the probability that she experience delay on at least 3 days is 0.8213
Answer:
x = number of bicycles = 35
y = number of cars = 55
Step-by-step explanation:
Let
x = number of bicycles
y = number of cars
x + y = 80 (1)
2x + 4y = 270 (2)
From (1)
x = 80 - y
Substitute x = 80 - y into (2)
2x + 4y = 270 (2)
2(80 - y) + 4y = 270
160 - 2y + 4y = 270
- 2y + 4y = 270 - 160
2y = 110
y = 110/2
y = 55
Substitute y = 55 into (1)
x + y = 80 (1)
x + 55 = 80
x = 80 - 55
x = 35
x = number of bicycles = 35
y = number of cars = 55
Answer: a) H = h( 0.5 )^n
b) H = 1.125inches
Step-by-step explanation:
Let H = height of the ball
n = number of time the ball bounces
h = initial height.
The exponential function to model the height of the ball will be:
H = h( 1 - 0.5)^n
H = h( 0.5 )^n
It's minus because the height of the ball is decreasing.
h = 36 inches
n = 5
H = 36( 1 - 0.5 ) ^5
H = 36( 0.5 )^5
H = 36 × 0.03125
H = 1.125inches
Answer:
C. 3.33 hours
Step-by-step explanation:
Use the algebra work equation:
= 
+ 
, where tb is the time to work together, t1 is the time it takes one person, and t2 is the time it takes the other person
Plug in the values we know:
= 
+ 
= 
+ 
= 
20 = 6tb
3.33 = tb
So, it would take them 3.33 hours when working together.
