Answer:
the volume of the rectangular prism = 166.336 cubic cm
Hence, option C is correct.
Step-by-step explanation:
We can determine the volume of the rectangular prism using the formula given below.
The volume of the rectangular prism = Base area x Height
<u><em>Determining the Base area:</em></u>
Given
Area of the Base area = l × w
= 3.2 × 4.6
= 14.72 cm²
Thus, the area of the Base area = 14.72 cm²
As the height h = 11.3 cm
Thus,
The volume of the rectangular prism = Base area x Height
= 14.72 x 11.3
= 166.336 cubic cm
Therefore, the volume of the rectangular prism = 166.336 cubic cm
Hence, option C is correct.
A) it is left skewed
B) the median is 5
C) the mean is 5.15
D) the mean would be more affected (a change of 1.05 versus a change of 0.5).
The majority of the data is to the right of the graph; this means it is left skewed.
To find the median, write all of the data values out:
2, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7
The middle value is 5.
We find the sum of this set of values and divide by 13, the number of data points, to find the mean:
2+3+4+4+5+5+5+6+6+6+7+7+7 = 67/13 = 5.15
If we added an additional data value at 20, the new median would be 5.5. The new mean would be (67+20)/14 = 6.2. The mean changes more than the median.
Answer:
x=3 is the number
Step-by-step explanation:
Suppose number be "x".
Equation will be
7x + x = 24
8x = 24
x = 24/8
x = 3
Answer:
$35.2
Step-by-step explanation:
% saved = 25%
Money saved = $8.80
Let x be the bill before the coupon discount.
25/100 × x = 8.80
x = $35.2
Answer:
Step-by-step explanation:
Consider the revenue function given by . We want to find the values of each of the variables such that the gradient( i.e the first partial derivatives of the function) is 0. Then, we have the following (the explicit calculations of both derivatives are omitted).
From the first equation, we get, .If we replace that in the second equation, we get
From where we get that . If we replace that in the first equation, we get
So, the critical point is . We must check that it is a maximum. To do so, we will use the Hessian criteria. To do so, we must calculate the second derivatives and the crossed derivatives and check if the criteria is fulfilled in order for it to be a maximum. We get that
We have the following matrix,
.
Recall that the Hessian criteria says that, for the point to be a maximum, the determinant of the whole matrix should be positive and the element of the matrix that is in the upper left corner should be negative. Note that the determinant of the matrix is and that -10<0. Hence, the criteria is fulfilled and the critical point is a maximum