Answer:
22
Step-by-step explanation:
The volume of a cube is given as:
Cube volume = length × length × length
Since the edges of the cube measure 3 inches, this means that the length of the cube is 3 inches, therefore:
Cube volume = 3 inches × 3 inches × 3 inches = 27 in³
The pine tree is the shape of a cone with diameter of 1.5 inches and a height (h) of 2 inches. The radius (r) = diameter / 2 = 1.5 inches / 2 = 0.75 inches.
The volume of the cone = πr²(h/3) = π × (0.75)² × (2/3) = 1.178 in³
The number of pine trees that can be made = Volume of cube / Volume of cone = 27 / 1.178 = 22.9
The number of pine trees = 22
(x-1) (x + 10)
Step-by-step explanation:
I think it's this but I'm not sure if I did it right
1 to 4
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
there are 5 red boxes and 7 blue boxes
The z score for a confidence level of 99% is 2.575.. You need to know this to complete this type of problem.. the other two commonly used confidence levels are 90% and 95% having z scores of 1.645 and 1.96 respectively. You need to memorize this!
To find the confidence interval, it will be defined as the sample mean plus/minus the margin of error.. Now to find the margin of error, divide the standard deviation of 12 by the square root of the number of elements in your sample(√250). Then take that result and multiply it by the Z score I mentioned above for a 99% confidence level.
In this case: the sample mean is 70 and the margin of error is approximately 1.95
So to calculate the confidence interval, do the following:
70 - 1.95 = 68.05 rounded to the nearest whole number is 68
70 + 1.95 = 71.95 rounded to the nearest whole number is 72
Looks like that would be the last choice. hope this helps.. it's been awhile since my work with statistics :-)
