Answer:
The missing number on the given data set is 12.
Step-by-step explanation:
Here, the set of data = 18,16_,9,12,23
Let us assume the missing number in the data = m
The mean of the data = 15
Total number of observations = 6
Now, Sum of the data = 18 + 16 + m + 9+ 12+ 23 = 78 + m
Also, 

or, m = 12
Hence, the missing number on the given data set is 12.
Answer:
y = - 8x² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (0, 6), thus
y = a(x - 0)² + 6, that is
y = ax² + 6
To find a substitute (- 1, - 2) into the equation
- 2 = a(- 1)² + 6, that is
- 2 = a + 6 ( subtract 6 from both sides )
- 8 = a
y = - 8x² + 6
Answer:
P = 528
Step-by-step explanation:
P = a + b + c = 200 + 107 + 221 = 528