Twenty-five samples of 100 items each were inspected when a process was considered to be operating satisfactorily. In the 25 samples, a total of 135 items were found to be defective.
What is an estimate of the proportion defective when the process is in control (to 3 decimals)?
What is the standard error of the proportion if samples of size 100 will be used for statistical process control (to 4 decimals)?
Compute the upper control limit and lower control limit for the control chart (to 4 decimals, if necessary)?

The value of (3.22 - 2.96)×10³ is  0.26×10³.

We use scientific notation for writing large numbers in compact form.

Scientific notation is written in base multiplied by 10 raised to some power where 0 ≤base < 10 scientific notation also has an alternative name which is known as engineering notation.

We know when we have numbers in scientific notation with the same exponent value we can do arithmetic operations to the base.

∴ (3.22x10³) - (2.96x10³).

= (3.22 - 2.96)×10³.

= 0.26×10³.

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Answer:

5< r or r>5

Step-by-step explanation:

-25 > -6r+5

-5            -5

-30> -6r

-30/-6< -6r/-6   when dividing a negative number, the symbol switches

5< r or r>5

Hope this helps!

Answer:

The correct answer is,

\(x = \frac{11}{12} \)

Answer:

I don't see a image? Was it a word problem??

Step-by-step explanation:

Answer:

Number 1 :If you are using a calculator, simply enter 40×100÷17, which will give you the answer.

Number 2: 45 percent of 155 is 69.75.

Number 3: 137 is what percent of 153? = 89.54

Answer:

8

Step-by-step explanation:

you do 32/4 which is 8 so the anwer should be 8

For the given parallelogram ABCD the correct answer is -

(A) Yes, because opposite sides are congruent

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

To prove that ABCD is a parallelogram, we need to show that both pairs of opposite sides are parallel.

Using the given information, we can calculate the slopes of each side.

The slope of a line can be found by dividing the change in y-coordinates by the change in x-coordinates between two points on the line.

For AB -

slope of AB = (y2 - y1)/(x2 - x1)

= (0 - 12)/(5 - 0)

= -2.4

For CD -

slope of CD = (y2 - y1)/(x2 - x1)

= (4 - 0)/(5 - 0)

= 0.8

For BC -

slope of BC = (y2 - y1)/(x2 - x1)

= (4 - 0)/(5 - 2)

= 1.33

For AD -

slope of AD = (y2 - y1)/(x2 - x1)

= (0 - 4)/(5 - 0)

= -0.8

Opposite sides are parallel if their slopes are equal.

We can see that AB and CD have slopes that are negative reciprocals of each other, which means they are parallel.

Similarly, BC and AD have slopes that are negative reciprocals of each other, which means they are also parallel.

Therefore, we have shown that both pairs of opposite sides are parallel, and we can conclude that ABCD is a parallelogram.

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Answer:

A

Step-by-step explanation:

slope rise/run= -4/ 5

plugging it in we get

y= -4/5x+b

-3=-4/5x+b

-3= -4/5(0) +b

-3=0+b

b=-3

so we get y= -4/5x-3

or A

if my answer helps please mark as brainliest.

Answer:

2.25 seconds

Step-by-step explanation

\(d=16t^{2}\)

\(d=81 feet\\t=?\)

Because you know what distance equals you can plug it into the equation

\(81=16t^{2}\)

From there you can solve by dividing the 16 over and then square rooting.

\(\frac{81}{16}=t^{2}\)

\(5.0625=t^{2}\)

You take the square-root to get rid of \(t^{2}\)

\(\sqrt{5.0625} =\sqrt{t}^{2}\)

\(t=2.25\)

Answer:bb

Step-by-step explanation:

Answer: A. -300

Step-by-step explanation: I hope this helps!

The remainder theorem code piece D can be used to determine if (x + 2) is a factor of 3x^3 + x^2 -4.

The Remainder Theorem tells us that, in order to evaluate a polynomial p(x) at some number x = a, we can instead divide by the linear expression x − a. The remainder, r(a), gives the value of the polynomial at x = a.

The remainder theorem can be used to determine if a factor can actually divide a polynomial.

If x+ 2 is a factor then f(-2) should be 0

substitute x = -2 in the function

\(3(-2)^{3} + (-2)^{2} -4\) = -24\(\neq\) 0

Therefore (x+2) is not a factor of the polynomial

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Answer:

0.26684

Step-by-step explanation:

Given that :

Mean, μ = 62.5

Standard deviation, σ = 1.96

P(Z ≥ 63.72)

The Zscore = (x - μ) / σ

P(Z ≥ (x - μ) / σ)

P(Z ≥ (63.72 - 62.5) / 1. 96) = P(Z ≥ 0.6224)

P(Z ≥ 0.6224) = 1 - P(Z < 0.6224)

1 - P(Z < 0.6224) = 1 - 0.73316 = 0.26684

Answer:

Step-by-step explanation:

Given that:

X(t) = be the number of customers that have arrived up to time t.

\(W_1,W_2\)... = the successive arrival times of the customers.

(a)

Then; we can Determine the conditional mean E[W1|X(t)=2] as follows;

\(E(W_!|X(t)=2) = \int\limits^t_0 {X} ( \dfrac{d}{dx}P(X(s) \geq 1 |X(t) =2))\)

\(= 1- P (X(s) \leq 0|X(t) = 2) \\ \\ = 1 - \dfrac{P(X(s) \leq 0 , X(t) =2) }{P(X(t) =2)}\)

\(= 1 - \dfrac{P(X(s) \leq 0 , 1 \leq X(t)) - X(s) \leq 5 ) }{P(X(t) = 2)}\)

\(= 1 - \dfrac{P(X(s) \leq 0 ,P((3 \eq X(t)) - X(s) \leq 5 ) }{P(X(t) = 2)}\)

Now \(P(X(s) \leq 0) = P(X(s) = 0)\)

(b)  We can Determine the conditional mean E[W3|X(t)=5] as follows;

\(E(W_1|X(t) =2 ) = \int\limits^t_0 X (\dfrac{d}{dx}P(X(s) \geq 3 |X(t) =5 )) \\ \\ = 1- P (X(s) \leq 2 | X (t) = 5 ) \\ \\ = 1 - \dfrac{P (X(s) \leq 2, X(t) = 5 }{P(X(t) = 5)} \\ \\ = 1 - \dfrac{P (X(s) \LEQ 2, 3 (t) - X(s) \leq 5 )}{P(X(t) = 2)}\)

Now; \(P (X(s) \leq 2 ) = P(X(s) = 0 ) + P(X(s) = 1) + P(X(s) = 2)\)

(c) Determine the conditional probability density function for W2, given that X(t)=5.

So ; the conditional probability density function of \(W_2\) given that  X(t)=5 is:

\(f_{W_2|X(t)=5}}= (W_2|X(t) = 5) \\ \\ =\dfrac{d}{ds}P(W_2 \leq s | X(t) =5 ) \\ \\ = \dfrac{d}{ds}P(X(s) \geq 2 | X(t) = 5)\)

Answer:

B. -1.

Step-by-step explanation:

\(i^1\) = i

\(i^2 = -1\)

\(i^3 = -i\)

\(i^4 = 1\)

...And it keeps going in a pattern, from i to -1 to -i to 1. And so, we have four values.

34 / 4 = 8 with a remainder of 2. That means that the value of \(i^{34}\) is the same thing as \(i^2\\\), so it is B. -1.

Hope this helps!

Answer:

Tootsie Rolls = 13

Step-by-step explanation:

Given:

Milky Ways and Tootsie Rolls together were 15 more than the number of Reese's Cups.

There were 4 fewer Reese's Cups than Hershey Bars.

There were 12 Milky Ways and 14 Hershey Bars.

Solution

Milky Ways and Tootsie Rolls = Reese's Cups + 15

There were 4 fewer Reese's Cups than Hershey Bars.

Hershey Bars = 14

Then,

Reese's Cups = 14 - 4

= 10

Milky ways = 12

Hershey bars = 14

Reese's Cups = 10

Milky ways = 12

Milky Ways + Tootsie Rolls = Reese's Cups + 15

12 + Tootsie Rolls = 10 + 15

12 + Tootsie Rolls = 25

Subtract 12 from both sides

Tootsie Rolls = 25 - 12

= 13

Tootsie Rolls = 13

Answer:

I guess it's B.Hopefully my answer would help

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

40-20 =20 then times 3 which is 60.

Answer:

The slope is -3

Step-by-step explanation:

(2, 4) and (3, 1)

m = (y2 - y1)/(x2-x1)

m= (1-4)/(3-2)

m = (-3)/(1)

m = -3

Law of Detachment

For the law of detachment to apply, you must have two statements. The first statement must be a conditional statement and the other, a non-conditional but supporting statement. The non-conditional statement must match the hypothesis of the first statement, which is conditional on arriving at a logical conclusion.

The law of detachment gives that:

Law of Syllogism

In the rule of syllogism, there are three parts involved. Each of these parts is called a conditional argument. The hypothesis is the conditional statement that follows after the word if. The inference follows after the word then.

To represent each phrase of the conditional statement, a letter is used. The pattern looks like this:

SOLUTION

Let's label the statements as follows:

Therefore, the statements are:

Hence, the conclusion is given using the Law of Syllogism:

The conclusion is "If Terryl completes a course with a grade of C, then he will have to take the course again."

The real zeroes of the given polynomial are located at (1, 2).

The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero.

Given that, x⁴-2x³+x-2

Checking the real zeroes,

Considering point (1, 2)

y = 2 and x = 1

Putting the values,

x⁴-2x³+x-2 = 1-2+1-2 = 2

And, y = 2

Therefore, LHS = RHS

Hence, The real zeroes of the given polynomial are located at (1, 2).

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Answer:

A

Step-by-step explanation:

Answer:

-13/2

or

-6.5

Step-by-step explanation:

yeah-ya.......... right?

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

We have,

For Matthew's investment, the continuous compounding formula can be used:

\(A = P \times e^{rt}\)

Where:

A = Final amount

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time (in years)

In this case,

Matthew's money has tripled,

So A = 3P.

For Parker's investment, the formula for compound interest compounded annually is used:

\(A = P \times (1 + r)^t\)

Where:

A = Final amount

P = Principal amount (initial investment)

r = Annual interest rate (in decimal form)

t = Time (in years)

We need to find t when Matthew's money has tripled in value.

Let's set up the equation:

\(3P = P \times e^{rt}\)

Dividing both sides by P, we get:

\(3 = e^{rt}\)

Taking the natural logarithm of both sides:

ln(3) = rt

Now we can solve for t

t = ln(3) / r

For Matthew's investment,

r = 3 1/8% = 3.125% = 0.03125 (as a decimal).

For Parker's investment,

r = 2 3/4% = 2.75% = 0.0275 (as a decimal).

Now we can calculate t for Matthew's investment:

t = ln(3) / 0.03125

Using a calculator, we find t ≈ 22.313 years.

Now, we can calculate how much money Parker would have in his account at that time:

\(A = P \times (1 + r)^t\)

\(A = $8,000 \times (1 + 0.0275)^{22.313}\)

Using a calculator, we find A ≈ $13,774.

Therefore,

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

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Answer:

20,763

Step-by-step explanation:

I saw the answer after I got it wrong

The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.

Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.

The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.

The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).

Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.

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Answer:

3

Step-by-step explanation:

1. 54÷6 =9

2. (12-4)=8

3. 9-8 = 1

4. 1+2 = 3

5. I hope this helps it's pretty simple oh and 3 is your anansw.Also you can you your calculator

Answer:

a=72\(\frac{2}{3}\)

Step-by-step explanation:

56/6*(12-4)+2=n

56/6*8+2-2=n-2

56/6*8/8=(n-2)/8

x=9\(\frac{1}{3}\)

x=(n-2)/8

y=74\(\frac{2}{3}\)

y=n-2=a

a=72\(\frac{2}{3}\)