The resistance of a strain gauge is normally distributed with a mean of 100 ohms and a standard deviation of 0.3 ohms. To meet t

To achieve a positive profit p(x)>0, we start with:


Next, we solve for x:


The parameters are:
a = -2
b = 7
c = -3

We will apply the quadratic formula:


This yields two results—one a fraction, the other a whole number. We focus on the whole number since the muffins sold must be a complete unit. Thus we conclude:
x>3

Response:

0.0000

Unusual

To explain step-by-step:

A tobacco company asserts that the nicotine content in its cigarettes behaves as a random variable with a mean of 2.2 mg and a standard deviation of.3 mg.

This means the population parameters are

The likelihood that the sample average would equal or exceed 3.1

equals 0.0000

The original price stands at $450.

Step-by-step explanation:

Step 1:

Given information, Discount%, D% = 30 and Selling Price, SP = $315

Step 2:

Formulate the equation for determining the Original Price

Selling Price (SP) = Original Price (OP) - Discount (D)

Discount (D) = Original Price (OP) * (D%/100)

Step 3:

Plug in the known values into the formula

315 = OP - D

D =

D = 0.3 OP

Step 4:

Insert the value of D back into the initial equation

315 = OP - 0.3 OP

315 = OP (1 - 0.3) = 0.7 OP

A resulting Original Price of OP = 315/0.7 = $450