Answer:
$12,000.
Step-by-step explanation
Length of garden = 160 m
Width of garden = 30 m
area of rectangle = length * width
substituting vale of length and width for rectangular garden we have
area of rectangular garden = 160 m * 30 M = 4800 sq. m
cost of leveling one sq. m is $2.50
and it is required to level 4800 sq. m
hence to total cost to level rectangular garden = area of rectangular garden * cost of leveling one sq. m of space
=4800 * 2.5
= 12,000
Therefore cost of leveling rectangular garden is $12,000.
Answer:
The required probability is
or
.
Step-by-step explanation:
Consider the provided information.
A committee of 9 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis,
The probability of yea or nay vote is equal, = 
So, we can say that 
Use the formula: 
Where n is the total number of trials, x is the number of successes, p is the probability of getting a success and q is the probability of failure.
We want proposal wins by a vote of 7 to 2, that means the value of x is 7.
Substitute the respective values in the above formula.





or 
Hence, the required probability is
or
.
Expand the integrand:

Then integrate using the power rule:

By the fundamental theorem of calculus, the definite integral has a value of

