Answer:
or
Step-by-step explanation:
we have
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
Answer:
The mean absolute deviation = 3.5°F
Step-by-step explanation:
The sum of the given temperatures, ∑T, is found as follows;
∑T = 66°F + 57°F + 61°F + 65°F + 54°F + 62°F + 59°F + 56°F = 480°F
The number of days, n, over which the temperature was tracked = 8 days
Therefore, the mean, , of the data set = ∑T/n = 480°F/8 = 60°F
The mean absolute deviation is given by the following formula;
Therefore, we have;
66 - 60 = = 6
57 - 60 = = 3
61 - 60 = = 1
65 - 60 = = 5
54 - 60 = = 6
62 - 60 = = 2
59 - 60 = = 1
56 - 60 = = 4
The mean absolute deviation is therefore;
The mean absolute deviation = (6 + 3 + 1 + 5 + 6 + 2 + 1 + 4)/8 = 3.5°F.
Answer:
The missing number here is 21
Answer:
The area of a rhombus is square units.
Step-by-step explanation:
Side length of rhombus = 6 units.
Interior angle of rhombus = 120°
another Interior angle of rhombus = 180°-120° = 60°.
Draw an altitude.
In a right angled triangle
Multiply both sides by 6.
The height of the rhombus is .
Area of a rhombus is
Therefore, the area of a rhombus is square units.
First term = 2 x 5(1-1) = 2 x 1 = 2
4th term = 2 x 5^3 = 250
8th term = 2 x 5^7 = 156,250