3(2x/5)
Final result :
6x
——
5
Step by step solution :
Step 1 :
x
Simplify —
5
Equation at the end of step 1 :
x
3 • (2 • —)
5
Step 2 :
Final result :
6x
——
5
His mistake is that he used the differences of 6, 10 and 14 instead of the differences of 7, 17 and 31.
i.e. for a linear function, the y values should have a constant rate of change and not the differences.
Answer:
Below.
Step-by-step explanation:
10, 14, 13, 13, 16, 12, 9,7
Arrange in ascending order:
7 9 10 12 13 13 14 16
The median = the mean of the middle 2 values
= (12 + 13) / 2 = 12.5 hours.
The mean = (7 +9 +10 +12+ 13+ 13+ 14+ 16) / 8
= 94/8
= 11.8 hours to nearest tenth.
Triangle on the right is 30 60 90 triangle
The ratio of short leg : long leg : hypotenuse = a : a√3 : 2a
Given long leg = 8√2
so short leg = 8√2 / √3 = 8√2 *√3 / √3 *√3 = 8√6/ 3
Hypo = 2 (8√6/ 3) = 16√6/ 3
The triangle on the left is 45 45 90 triangle
Ratio of leg : hypotenuse = a : a√2
The hypotenuse of triangle on the right is the leg of triangle on the left
so a = 16√6/ 3
Hypotenuse, x = (16√6/ 3) √2 = 16√12 / 3 = 32√3 / 3
Answer is B.
32√3 / 3
