For 138 consecutive days, a process engineer has measured the temperature of champagne bottles as they are made ready for serving. each day, she took a sample of 9 bottles. the average across all 1242 bottles (138 days, 9 bottles per day) was 51 degrees fahrenheit. the standard deviation across all bottles was 1.4 degrees. when constructing an x-bar chart, what would be the upper control limit?

the answer is 15% decrease

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation: