3,400,000,000
3,000,000,000+400,000,000
Answer:
D. domain: (-infinity, infinity); range: [1, infinity)
Step-by-step explanation:
The domain is the values that x can take
The domain is (-infinity, infinity)
The range is the values that y can take
absolute value is 0 or greater
cos x is from -1 to 1
The minimum value is when x=0
The smallest value is 1 and the largest is infinity
5π/12 = (5 · 180°) : 12 = 75°
cos 75° = cos ( 45° + 30° )= cos 45° cos 30° - sin 45° sin 30° =
=√2/2 * √3/2 - √2/2 * 1/2 =

=(2.4495 - 1.4142): 4 = 0.258825
Answer: a) 683 b) 1067
Step-by-step explanation:
The confidence interval for population proportion is given by :-

a) Given : Significance level :
Critical value : 
Margin of error : 
Formula to calculate the sample size needed for interval estimate of population proportion :-

Hence, the required sample size would be 683 .
b) If no estimate of the sample proportion is available then the formula to calculate sample size will be :-

Hence, the required sample size would be 1067 .
Answer:
9.48
Step-by-step explanation:
The perimeter of a rectangle is the distance around the the shape. It can be found by adding each side of the shape to find a total. In contrast, the area of a shape is the amount inside a shape. It is found using multiplication or A = l*w. Since the width is w and the length is twice its width or 2w, use these expressions in the area formula to find their amount. Then add them together to find the perimeter.

The width of the rectangle is w = 1.58. The length is 2w = 2 (1.58) = 3.16.
Add these amounts by P = l + l + w + w to find the perimeter.
P = 3.16 + 3.16 + 1.58 + 1.58 = 9.48