9514 1404 393
Answer:
55,637.8 square inches
Step-by-step explanation:
We can find side n using the Law of Sines:
n/sin(N) = p/sin(P)
n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)
n ≈ 542.246913 . . . . inches
The angle O is ...
O = 180° -N -P = 180° -64° -96° = 20°
Then the area is ...
A = 1/2·np·sin(O)
A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²
The area of ∆NOP is about 55,637.8 in².
Let X be the weekly incomes of a large group of executives. The weekly incomes of a large group of executives follows Normal distribution with mean $2000 and standard deviation $100.
μ =2000, σ =100
We have to find z score for income $2100 i.e x=2100
Z = 
= 
Z = 100/100
Z = 1
The z score for income $2100 is 1
To change a decimal to a fraction you need to first place the decimal over 1. Next, for each number behind the decimal, you will multiply by a multiple of 10. Since there are 2 numbers behind the decimal, it's 100. Therefore,
92.96 x 100 = 9296
1 x 100= 100
Your new fraction is 9296/100. Now we simplify it. I'm going by 2's so it may take a bit.
Simplifying it twice by 2's your answer would be:
2324/25
Answer:
9 tens = 90
5 hundreds = 500
3 ones = 3
on adding them we get, 500 + 90 + 3 = 593
Answer:

Step-by-step explanation:
Given:
Original price of the ticket is 
Price after using the coupon is 
Coupon discount is 85% of
Therefore, the price after applying coupon is given as the difference of the original price and the coupon discount. That is,

The graph is shown below. The graph passes through the origin as the above relationship is a proportional relationship.
The line
strictly remains in the first quadrant as both
and
can't be negative as they represent price of tickets and price can never have negative values. Hence, only the first quadrant has both the values of
and
positive.