Answer:
30 men
Step-by-step explanation:
In order to be sure that the sample mean does differ from the population mean by more than 0.90, the sample size (n) that should be used is given by:

Where 'Z' , for a 95% probability is 1.960, 's' is the standard deviation of 2.5 inches:

Rounding up to the nearest whole number, the sample size should be at least 30 men.
Answer:
0.45 cm
Step-by-step explanation:
Actual length of the micro chip

Given: <span>y = x^2 + 6x - 5. Then a = 1, b = 6 and c = -5.
The x-coord. of the vertex is given by x = -b / (2a), which here is x = -6 / (2*1) = -3.
Use the given formula </span><span>y = x^2 + 6x - 5 to find the value of y when x = -3:
y = (-3)^2 + 6(-3) - 5 = 9 - 18 - 5 = -14
Then the vertex is (-3, -14).</span>