Answer: 2285
Step-by-step explanation:
Formula to find the sample size is given by :-
, where p = prior estimate of population proportion.
E= Margin of error.
= z-value for confidence interval of c.
Given : Confidence interval : 95%
From the z-value table , the z-value for 95% confidence interval = 
The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal.
i.e. the prior estimate of population proportion of US residents thought marijuana should be made legal : p=0.61
[∵ sample proportion is the best estimate for population proportion.]
Margin of error : E= 2%=0.02
Now, the required minimum sample size would be :-
Simplify ,
Thus , we need to survey <u>2285</u> Americans .
Cross section is the area you make when you make a cut across a shape. In this case, the cut must be parallel to the base. Hence, the cut shape would be same to that of the base. The base's dimensions are 7 cm long x 5 cm wide. Thus, the cross section area is 35 square centimeters.
Answer:
Option 4
Step-by-step explanation:
The volume of a cylinder is going to be the area of the base (which is a circle) times the height. if you have cylindrical mug, then you can use the base area×height relationship, but it won't be exact because some of the volume is going to be used for the walls of the mug itself.
Anyways:
Volume = Base Area × Height
•Base Area -> Circle = π×radius²
•Height is given as 7in.
Volume = π×(6.2in)² × 7in = 845.33975...
Volume is in units cubed (the 3rd power) which is where the in³ is from. Your closest option here looks to be the 4th choice.
Hi! I'm Jenny and I'm a mathematician! I'd love to help you with this problem! :)
Lets get started...
I'll write the equation out for you!
x + x(xx)
Put the value of x = 2 in the above expression we get,
2 + 2(22)
= 2 + 2(2 × 2)
= 2 + 2(4)
= 2 + 8
= 10
Answer:
A.1
Step-by-step explanation:
Trapezoids only have one vertical line of symmetry
