Answer:
34
Step-by-step explanation:
The mean is calculated as
mean = 
let x be the missing frequency, then
Total frequency × midpoint
= (16 × 2) + 7x + (20 × 12) + (10 × 17) = 32 + 7x + 240 + 170 = 442 + 7x
Total frequency = 16 + x + 20 + 10 = 46 + x, thus
= 8.5 ( cross- multiply )
442 + 7x = 8.5(46 + x)
442 + 7x = 391 + 8.5x ( subtract 8.5x from both sides )
442 - 1.5x = 391 ( subtract 442 from both sides )
- 1.5x = - 51 ( divide both sides by - 1.5 )
x = 34
The missing frequency is 34
k = 5
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
To obtain this form use the method of completing the square
Since the coefficient of the x² term is 1 then
add/ subtract (half the coefficient of the x-term )² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 + 14 = (x - 3)² + 5 → k = 5
Usually when you add big numbers together, you get a result of exponents involved :) answer for your question : 1.212154551 e^22
Answer:
x = 3
Step-by-step explanation:
1.8 - 3.7x = -4.2x + 0.3
add -4.2x to both sides
1.8 - 0.5x = 0.3
subtract 1.8 from both sides
-0.5x = 0.3 - 1.8
-0.5x = -1.5
divide by -0.5 on both sides
x = 3
GREAT JOB!!!! YOU GOT IT!!! =)
