An optical inspection system is used to distinguish among different part types. The probability of a correct classification of any part is 0.94. Suppose that three parts are inspected and that the classifications are independent. Let the random variable X denote the number of parts that are correctly classified.

Answers

Answer 1
Answer:

Answer:

µ = 2.82

Variance(X) =  0.169

Step-by-step explanation:

The complete question is:

An optical inspection system is to distinguish among different part types. The probability of a correct classification of any part is 0.94. Suppose that three parts are inspected and that the classifications are independent. Let the random variable X denote the number of parts that are correctly classified. Determine:

(a) the mean

(b) variance of X .

Round your answers to three decimal places

Solution:

Part A:

First we have to find the mean.

We have,

n = 3

p = 0.94

µ = n*p

Put the values in the formula:

µ = 3*0.94

µ = 2.82

Part B:

To find the Variance of X:

Var(X) = np(1 - p)

= 2.82(1 - 0.94)

= 2.82(0.06)

= 0.1692

By rounding off:

= 0.169


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You have a $3175 student loan. Suppose you pay the loan off in two and a half years (30 months). Estimate your monthly payment by ignoring interest and rounding down the amount owed. (Round your answer to the nearest dollar.)

Answers

Answer:

$106

Step-by-step explanation:

The formula given for Monthly payment of a loan =

P × [ r (1 + r)/(1 + r)^n - 1

Where

r = interest rate

n = number of monthly payments

P = Present value of the loan

From the question,

r = interest rate, we were told to ignore hence, r = 0

P = $3,175

n = 30

Hence,

Amount to be paid monthly = P/n

= $3175/30

= $105.83

Approximately to the nearest dollars

= $106

Find value of x and y

4.)2x-3y=-15
x=4y

Answers

\left\{\begin{array}{ccc}2x-3y=-15\nx=4y\end{array}\right\n\nsubstitute\n\n2\cdot4y-3y=-15\n8y-3y=-15\n5y=-15\ \ \ \ \ |both\ sides\ :5\ny=-3\n\nx=4\cdot(-3)=-12\n\nSolution:x=-12\ and\ y=-3.
2x - 3y = -15
x = 4y
substitute x frm eq2 to eq1
2 (4y) - 3y = -15
8y - 3y = -15
5y = - 15
y = -3
substitute y in eq2
x = 4(-3)
x = -12
y = -3 , x = -12

What can be multiplyed by 3 to equal 40

Answers

Let's say that the number we are looking for is called 'x'.

3 * x = 40
3x = 40

To solve for 'x', we will need to divide both sides by 3.

3x/3 = 40/3

x = \boxed{\bf{(40)/(3) = 13(1)/(3)}}

40/3 or 13 1/3 can be multiplied by 3 to get 40.

Write an equation for the line parallel to y = –2x – 5 that contains P(–8, 4).

Answers

k:y=-2x-5\n\nl:y=mx+b\n\nk\ ||\ l\iff m=-2\n\nl:y=-2x+b;\ P(-8;\ 4)\n\n-2\cdot(-8)+b=4\n16+b=4\nb=4-16\nb=-12\n\nAnswer:y=-2x-12
k:\ y = -2x -5 \ \ \ and\ \ \ l:\ y=mx+b\n\nk\ ||\ l\ \ \ \Leftrightarrow\ \ \ m=-2\ \ \ l:\ y=-2x+b\n\n P(-8, 4)\ \in\ l\ \ \ \Leftrightarrow\ \ \ 4=-2\cdot(-8)+b\n\n\ \ \ \Leftrightarrow\ \ \ 4=16+b\ \ \ \Leftrightarrow\ \ \ b=-12\ \ \ \Rightarrow\ \ \ l:\ y=-2x-12

True or False: 1. all trapezoids are scalene? 2. all squares are rhombuses? 3. all rectangles are squares? 4. all squares are rectangles? 5. all parallelograms are squares?

Answers


false, because are not the same thing because a square Is not a triangle so these aren't trapezoids at all because    all trapezoids are not scalence

8/20 in simplest form

Answers

8/20 in simplest form is: 2/5

(8)/(20) \n \n gcf = 4 \n \n 8 / 4 = 2 \n \n 20 / 4 = 5 \n \n (2)/(5) \n \n