Answer:
0.78814
Step-by-step explanation:
We solve using z score
z = (x-μ)/σ, where
x is the raw score = 4.0 inches
μ is the population mean = 4.4 inches
σ is the population standard deviation = 0.5 inches
z = 4.0 - 4.4/0.5
z = -0.8
Probability value from Z-Table:
P(x<4.0) = 0.21186
P(x>4.0) = 1 - P(x<4.0)
= 1 - 2.1186
= 0.78814
The probability that the rod you chose will be greater than 4.0 inches is 0.78814.
Answer:
t = 3.11 seconds
Step-by-step explanation:
Given that,
At the circus, a clown is shot from a cannon. This situation can be modeled by the function :
Where
'h' is height in feet and 't' is time in seconds
We need to find how long did it take for the clown to reach his highest point. It can be calculated as follows :
We need to solve for t. It can be calculated as follows :
So, the required time is 3.11 seconds.
Answer:
I think It is 8 as well, but not sure
Step-by-step explanation:
x = 60, since its n equilateral triangle
Answer:
f(-1) = 2
f(0) = 3
Step-by-step explanation:
f(a) = 3a - a²
- f(4)= 3*4-4²= -4 ⇒ correct
- f(3)= 3*3-3²= 0 ⇒ correct
- f(-1) = 3*(-1)-(-1)²=-3+1= -2 ⇒ incorrect
- f(0) = 3*0-0²= 0 ⇒ incorrect
- f(-5) = 3*(-5)-(-5)²= -15-25= -40 ⇒ correct
