Answer:
Step-by-step explanation:
Frequency table for the height of the seedlings,
Height (in inches) Number of seedlings
2
4
2
2
Now we can draw the line plot as attached.
Average height of the seedlings = 
= 
= 
Answer:
And we can calculate the deviations from each value like this:
And the mean absolute deviation would be:
Step-by-step explanation:
For this case we have the following dataset given:
101.5 98.7 95.4 92.3 109.8 104.7
We can calculate the mean with the following formula:
And replacing we got:
And we can calculate the deviations from each value like this:
And the mean absolute deviation would be:
I attached the picture associated with this question.
Answer:x = 2
y = 5
Explanation:ABCD is a parallelogram. This means that each two opposite sides are equal.
This means that:1- AB = CD2y + 1 = 7x - 3 ...........> equation I
2- AD = BC3x = y + 1
This can be rewritten as:y = 3x - 1............> equation II
Substitute with equation II in equation I and solve for x as follows:2y + 1 = 7x - 3 ...........> equation I
2(3x - 1) + 1 = 7x - 3
6x - 2 + 1 = 7x - 3
6x - 1 = 7x - 3
7x - 6x = -1 + 3
x = 2
Substitute with x in equation I to get y as follows:y = 3x - 1
y = 3(2) - 1
y = 6 - 1
y = 5
Hope this helps :)
Answer:
A. 121 ⇒ III. 11
B. 64 ⇒ II. 4 and IV. 8
C. 27 ⇒ I. 3
D. 125 ⇒ V. 5
E. 16 ⇒ II. 4
Step-by-step explanation:
Let us find the correct answer
∵ 121 = 11 × 11
∴ The square root 121 is 11
∴ A. 121 ⇒ III. 11
∵ 64 = 8 × 8
∴ The square root of 64 is 8
∵ 64 = 4 × 4 × 4
∴ The cube root of 64 is 4
∴ B. 64 ⇒ II. 4 and IV. 8
∵ 27 = 3 × 3 × 3
∴ The cube root of 27 is 3
∴ C. 27 ⇒ I. 3
∵ 125 = 5 × 5 × 5
∴ The cube root of 125 is 5
∴ D. 125 ⇒ V. 5
∵ 16 = 4 × 4
∴ The square root of 16 is 4
∴ E. 16 ⇒ II. 4
Step-by-step explanation:
< AEB + < BEC = 180° {BEING LINEAR PAIR }
26° + < BEC = 180°
< BEC = 180° - 26°
< BEC = 154°
ARC BC = < BEC ( relation between arc and central angle)
Arc BC = 154°
Hope it will help :)
