Answer:
Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.
Step-by-step explanation:
Noah had to rationalize the denominator of 
According to him,

Solving the nominator and denominator

Noah did correctly till this point.
In the next step he add 25 and 7 in the denominator, whereas, it should be subtracted.
Hence,
Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.
Answer: Option C. 8,064 pounds
Solution:
Unit weight: U=63 pounds/foot^3
Total Weight: W=?
W=U*V
Volume: V
Length: l=8 feet
Width: w=4 feet
Height: h=4 feet
V=l*w*h
Replacing the knwon values in the formula above:
V=(8 feet)*(4 feet)*(4 feet)
V=128 feet^3
Replacing in the formula of total Weight:
W=U*V
W=(63 pounds/foot^3)*(128 feet^3)
W=8,064 pounds
Answer:
let x adult and y student attended
x+y= 94
x=94-y
again
4x+2y = 294 53 adults and 41 student attended
376-4y+2y =294 the event
2y =82
y=41
substituting the value of y in
x+y =94
x= 94-41 = 53
Step-by-step explanation:
The probability any one system works is 0.99
So the probability of any one system failing is 1-0.99 = 0.01, so basically a 1% chance of failure for any one system
Multiply out the value 0.01 with itself four times
0.01*0.01*0.01*0.01 = 0.000 000 01
I'm using spaces to make the number more readable
So the probability of all four systems failing is 0.00000001
Subtract this value from 1 to get
1 - 0.00000001 = 0.99999999
The answer is 0.99999999 which is what we'd expect. The probability of at least one of the systems working is very very close to 1 (aka 100%)
The correct answer is f=(1/3)m