Answer:
416025
Step-by-step explanation:
For confidence interval of 99%, the range is (0.005, 0.995). Using a z-table, the z-score for 0.995 is 2.58.
Margin of error = 0.2% = 0.002.
Proportion is unknown. So, worse case proportion is 50%. p = 50% = 0.5.
\\ 
So, sample size required is 416025.
Answer:
x = 3
Step-by-step explanation:
Given
f(x) = - 10x + 45 and f(x) = 15, then equating gives
- 10x + 45 = 15 ( subtract 45 from both sides )
- 10x = - 30 ( divide both sides by - 10 )
x = 3
If the height was 10, then the volume of the cube would be 1000 because you find volume you must multiply the length*width*height and the value of those three is 10.
Now since volume is 1000 and the volume of a 2in cube is 8 (again, lwh=V) you can divide 1000 by 8 and you would get 125. So that means 125 2in cubes can fit inside the bigger cube.
If the volume of this cube were 750in^3 and you had to find the height, you would use the Volume formula again:
l*w*h=V
10*10*h=750
20h=750
((divide both sides of the equation by 20 to find the value of h))
h=37.5
If the surface area of the cube were 680in^2 then you would use the surface area formula to find the value of h:
(2(lw))+(2(lh))+(2(wh))=A
(2(10*10))+(2(10h))+(2(10h))=680
200+20h+20h=680
subtract 200 from both sides of the equation:
40h=480
divide both sides by 40 to get the value of h:
h=12
Answer:
m∠Z = 166°
Step-by-step explanation:
Since we know that the angles add up to 720°, we can set up an equation to solve for the variable x:
12x + 14x - 6 + 108 + 108 + 108 + 90 = 720
26x + 408 = 720
26x = 312
x = 12
Now we substitute the number in for x to solve ∠Z:
m∠Z = 14(12) - 2 = 166
m∠Z = 166°
9514 1404 393
Answer:
(C) 64.26 m²
Step-by-step explanation:
You know the area is almost, but not quite, the area of two squares that are 6 m on a side. The area of one of those squares is (6 m)² = 36 m². The area of two of them is 2×36 m² = 72 m².
Since the area is larger than 36 m² and smaller than 72 m², there is only one answer choice that makes any sense:
64.26 m²
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<em>Additional comment</em>
That value is obtained using 3.14 for pi.
