The expression that represents the volume of the composite figure is (8*6*4)+ 1/3 * (8*6*6).
<h3>What will be the volume of the composite figure?</h3>
The volume of the composite figure will be the sum of the volume of the cube and the volume of the pyramid.
Volume of the cube = length*breadth*height
So, the volume of the cube = 8*6*4
The volume of the pyramid = 1/3 *(area of the base) * (height of the pyramid)
Area of the base of the pyramid = 8*6
Height of the pyramid = total height - height of the cube
Height of the pyramid = 10-4 =6
So, the volume of the pyramid = 1/3 * 8*6*6
So, total volume = (8*6*4)+ 1/3 * (8*6*6)
Hence, the expression that represents the volume of the composite figure is (8*6*4)+ 1/3 * (8*6*6).
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Answer:
17 = K
Step-by-step explanation:
Add 5 to both sides to get K = 17
Answer:
Step-by-step explanation:
y=(x+5)2−1
Use the vertex form,
y=a(x−h)2+k, to determine the values of a, h, and .a=1h=−5k=−1Find the vertex(h,k(−5,−1)
Answer:
The equation of the line is 
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
In which m is the slope and b is the y-intercept(the value of y when x = 0).
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
Line perpendicular to y = 4x + 4.
This line has slope 4, so our line will have slope:
So
Through (0, -3)
This means that 
So
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Mean (m) = 72
Standard deviation (sd) = 10
Grading cutoff policy:
bottom 5% receive F
next 15% receive D
next 35% receive C
next 30% receive B
A) Give the cutoffs for the grades in this course in terms of standardized scores.
Standardized score for grade cutoff:
Locating the Zscore for the proportions on the z table :
Bottom 5% = 0.05 ; corresponding Zscore = - 1.645
next 15% receive D = (5 +15)% 0.20 ; corresponding Zscore = - 0.84
next 35% receive C = (20+35)% = 0.55 ; corresponding Zscore = 0.13
next 30% receive B = (55 + 30)% = 0.85 ; Corresponding Zscore = 1.04
B) Give the cutoffs in terms of actual total scores.
Recall:
Zscore = (x - m) /sd ; where x = actual score
x = sd*z + m
For F:
10*(-1.645) + 72 = 55.55
For D:
10*(-0.84) + 72 = 63.6
For C:
10*(0.13) + 72 = 73.3
For B:
10*(1.04) + 72 = 82.4
C) Do you think that this method of assigning grades is a good one?
Yes, it is good in terms of expressing scores around the mean such that score below are negative and those above are positive. However, it is a little bit ambiguous.
