Try this suggested example.
PS. the 1st step is marked with red, the 2d step - with green, the 3d step - with blue colours, then the final step is marked with orange.
Answer: 11.9%
Step-by-step explanation:
Given : On a stretch of Interstate-89, car speed is a normally distributed variable with mph and mph.
Let x be a random variable that represents the car speed.
Since ,
z-score corresponds x = 73 ,
Required probability :
[using z-value table.]
Hence, the approximate percentage of cars are traveling faster than you = 11.9%
F(x) > g(x)
2^x + 3 > 50x + 5
for x = 3 , f(3) > g(3)
11 > 155 (false)
for x = 10 , f(10) > g(10)
1027 > 505 (true)
for x = 9 , f(9) > g(9)
515 > 455 (true)
for x = 8 , f(8) > g(8)
259 > 405 (false)
the smallest,positive integer value of x is 9 since the value of 9 is the last number to exceeds g(x)
<h3>
Answer: 729 cubic meters</h3>
Work Shown:
volume = side*side*side
volume = 9*9*9
volume = 729
A slight shortcut would be to say 9^3 = 729
1.85m. The cart traveled 1.85m in 4 seconds.