Answer:
The answer is 1/36
Step-by-step explanation:
each event has a 1/6 chance of happening so you multiply 1/6 by 1/6 and get 1/36
- 1/3 -5/8
-8/24 - 15/24
-23/24
The first step is to find the least common denominator. The LCD of 3 and 8 is 24. Now, mulitply -1/3 by 8/8 and -5/8 by 3/3. This will give you fractions with equal denominators which you need to find before subtracting. Finally, you simplify the equation. Since this cannot be simplified, -23/24 is the answer
Do 11 times 3.14 the divide what you get by 2
Answer: the required sample size = 155
Step-by-step explanation:
If the standard deviation of the prior study is known, then the formula to compute required sample size:
, where E = Margin of error, z* = Critical value, 
= populion standard deviation.
Given: E = 3.7 , 
Critical value for 90% confidence = 1.645
Required sample size: 
Hence, the required sample size = 155
Answer:
706.4ft²
Step-by-step explanation:
This is a prism with a trapezoid base. The total area includes:
1) 2 trapezoids (bases):
A1=2×(19+5)×12.1/2=24×12.1=290.4ft²
2) side area:
A2=base perimeter×prism height=
(19+5+14+14)×8=(24+28)×8=52×8=416ft²
So total area is A1+A2
A=290.4+416=706.4ft²
