There are 256 cubic inches of water in the vase.
We know that the volume of a cube with side length S is:
V = S^3
In this case, we know that S = 8in, then the volume is:
V = (8 in)^3 = 512 in^3
And we know that it is half full with water, so the volume of water in the vase is:
V' = (512 in^3)/2 = 256 in^3
If you want to learn more about volume, you can read:
Answer:
256
Step-by-step explanation:
First find the volume of the cube, which is 8^3, or 512. Half of that is how much water there is, which is 256 in^3.
The probability that you will choose a lemon-lime for your friend is the number of lemon-limes divided by the total number of drinks, 4/11.
The probability that you will subsequently choose one for yourself is the same ratio with different numbers (because a lemon-lime has already been selected), 3/10.
The probability of both of these events occurring is the product of their individual probabilities: (4/11)·(3/10) = 6/55
Let f be a function given by f(x)=-4x-1.
Find and simplify f(x+3)
Answer:
f=-
Step-by-step explanation:
Divide each term in f(x+3)=−4x−1 by x+3 and simplify.
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Answer:
Options C, D and F are correct.
Step-by-step explanation:
The factors of are 2 and
So, option C is correct. (x-2) is a factor or x=2
Option D is also correct. 2 is the root of f(x) =
Putting 2 in place of x we get
5*4 -32 +12=0
Option F is correct because the remainder is zero in last line.(5x-6+0)
The answer is C, D, and F. We know it is C because x-2 you would put a positive 2 and that is what is done. We know it is D because if you look at the graph that's where it would touch. We know it is F because the last number below the line is 0.
The mean absolute deviation (MAD) of their ages is 19 and this can be determined by using the formula of mean absolute deviation.
Given :
Ages - 9 , 13 , 43 , 55
The meanabsolute deviation is given by the formula:
where n is the total number of data values, is the data value in the set, and m(X) is the average value of the data set.
So, to find MAD first evaluate the value of m(x).
m(X) = 30
Now, the MAD of their ages is:
MAD = 19
So, the mean absolute deviation (MAD) of their ages is 19.
For more information, refer to the link given below:
Answer:
The mean absolute deviation of this data is .
Step-by-step explanation:
The mean absolute deviation (MAD) of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.
The steps to find the MAD include:
To find the mean absolute deviation of this data you must
Step 1: Calculate the mean.
Step 2: Calculate the distance between each data point and the mean and take the absolute value of each difference.
Step 3: Add the distances together.
Step 4: Divide the sum by the number of data points.
15
9
4.5
18
Answer:
18
Step-by-step explanation:
Let X be the midpoint of the chord AB
Distance between X and the centre:
15-3 = 12
XB² = 15² - 12²
XB² = 81
XB = 9
AB = 2XB = 18
Answer:
4.5
Step-by-step explanation: