Answer:
95% Confidence interval: (0.8449,0.9951)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 50
Number of times the dog is right, x = 46
95% Confidence interval:
Putting the values, we get:
(0.8449,0.9951) is the required 95% confidence interval for the proportion of times the dog will be correct.
If x=width, then the equation would be:
x(x+10)=20,000
The length is 10 meters longer than the width(x), so the length is x+10.
To get the area(20,000) you multiply width by length, hence x(x+10).
Hope this helps.
Answer:
Step-by-step explanation:
The solid is a cuboid with length of 6 inches, a width of 3 inches, and a height of 2 inches.
The volume is l× w×h = 6×3×2 = 36inches^3
Therefore, the following statements are true about the Solid
1) The volume of the solid is 36 in.3.
2) The perimeter of one of its faces is 10 inches.(2width + 2 height = 2×2 + 2×3 = 10 inches)
3) The area of one of its faces is 6 inches^2. (width × height = 3×2 = 6 inches)
4) The area of one of its faces is 12 in.2.(length × height = 6×2 = 12 inches^2)
The answer is 21 which comes from 7 * 3.
Draw the four points in a complex plane. From the drawing you can see that the lenght is 4i - (-3i) = 4i + 3i = 7i, and the width is 1 - (-2) = 1 + 2 = 3.
So, the area is 7 * 3 = 21.
