Answer:
no image please provide thanks
Step-by-step explanation:
Answer:
height = 18m
Step-by-step explanation:
cone volume = 3183.96 m³
1/3 πr²h = 3183.96
1/3×3.14×13×13×h = 3183.96
h = 3183.96×3/13×13×3.14
h = 9551.88/530.66
h = 18
Answer:
52.56% probability that eight or more of the flights will arrive on time.
Step-by-step explanation:
For each flight, there are only two possible outcomes. Either it is on time, or it is not. The probability of a flight being on time is independent from other flights. So we use the binomial probability distribution to solve this question.]
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
At a certain airport, 75% of the flights arrive on time.
This means that
A sample of 10 flights is studied.
This means that
Find the probability that eight or more of the flights will arrive on time.
In which
52.56% probability that eight or more of the flights will arrive on time.
Let length = l
width = w
length = 3 times width = 3w
Area of the land = 75 sq. m
Area = length × width = 3w×w = 75
3w²=75
w²=25
w=5 m
length = 3×15 = 15m
Now lets make the figure with the path of width x meters
(Refer the attached figure for easy understanding)
The inner length is the length of the rectangle reduced by x meters on either side due to the path
that is 15-x-x = 15-2x
the inner width is the width reduced by x meters in either side
= 5-x-x = 5-2x
Now lets calculate the inner area = inner length × inner width
(15-2x)×(5-2x)
=
= sq. m
Now the function to calculate the cost
f(x) is given by $3.00 × area of the inner land
f(x) = 3 × {75-40x+4x²)
= 225-120x+12x²
or
= 12x²-120x+225