Specifications for a piece of material used in the manufacture of a bed mattress require that the piece be between a Lower and Upper value (in inches) centered around the process mean. The process that produces the piece yields a mean of 25 and a standard deviation of 0.6 inches. The distribution of output is normal. Within what values will 94.87 percent of sample means fall, if samples of n

Hello a value is missing in your question below is the value

samples of n = 10

answer : 24.63 <  μ  < 25.370

Step-by-step explanation:

Given :

Sample size = n = 10

Z∝/2 = Z0.0256 = 1.95

next calculate for margin of error

E = Z∝/2 * ( 0.6 /  / )

   = 0.370

therefore at  94.87% confidence interval the estimated population mean is

x - 0.370 < μ <  x + 0.370

25 - 0.370 < μ < 25 + 0.370

24.63 <  μ  < 25.370

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

could you provide figure.