Answer: 0.2119
Step-by-step explanation:
We assume that the random variable X is normally distributed.
Given : Population mean : 
Standard deviation : 
Z-score : 
Then, z-score corresponds to 116
By using the standard normal distribution table for z , we have
Hence, the required probability = 0.2119
Answer:
x=90/16,y=-150/16
Step-by-step explanation:
Simultaneous equation and we are to use elimination method
9x+y=30...(1)
6x-y=15..(2)
Add (1) and (2)
16x=15
Divide both sides by 16
x=15/16
Then substitute the value of x into (2)
6(15/16)-y=15
90/16-y=15
Substrate 15 from both sides
90/16-y-15=0
Add y to both sides
90/16-15=y
Lcm for only the left side which is 16
90-240/16=y
-150/16=y
Therefore x is 90/16 and y is -150/16
Answer:
1. 665.1075
Step-by-step explanation:
<em>the area of a hexagon is Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon </em>
3 in 31, 9 in 96, 1 in 17.
Altitude = sqrt [(4sqrt5)^2 - 862 = 4 ft
Perimeter of the trapezoid = 8+4+16+4sqrt5 = 28+4sqrt5
= 36.94 feet to nearest hundredth answer
Area = 1/2 * 4 * (8+16) = 48 ft^2 answer
