Answer:
this is your answer look it once.
Answer:
a
The estimate is
b
Method B this is because the faulty breaks are less
Step-by-step explanation:
The number of microchips broken in method A is
The number of faulty breaks of method A is
The number of microchips broken in method B is
The number of faulty breaks of method A is
The proportion of the faulty breaks to the total breaks in method A is
The proportion of the faulty to the total breaks in method B is
For this estimation the standard error is
substituting values
The z-values of confidence coefficient of 0.95 from the z-table is
The difference between proportions of improperly broken microchips for the two breaking methods is mathematically represented as
substituting values
The interval of the difference between proportions of improperly broken microchips for the two breaking methods is
Answer:
C
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
Given
y = 2x² + 12x + 1
To express in vertex form use the method of completing the square.
The coefficient of the x² term must be 1 , thus factor out 2 from 2x² + 12x
y = 2(x² + 6x) + 1
add/ subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9) + 1
= 2(x + 3)² - 18 + 1
= 2(x + 3)² - 17 → C
Answer:
x=11
Step-by-step explanation:
M is the midpoint this means that we can set AM and BM equal to eachother, once this is done we can solve for x
9x-6=6x+27 (set equal to eachother)
9x=6x+33 (add 6)
3x=33 (subtract 6x)
x=11 (divide by 3)