A random sample of 340 electronic components manufactured by a certain process are tested, and 30 are found to be defective. A device will be manufactured in which two of the components will be connected in series. The components function independently, and the device will function only if both components function. Let q be the probability that a device functions. Find a 95% confidence interval for q. Round the answers to three decimal places. The 95% confidence interval for q is (

Answers

Answer 1

Answer:

95% of the confidence interval for q is

(0.05809 , 0.1183)

Step-by-step explanation:

Step:1

Given that the random sample of 340 electronic components manufactured by a certain process is tested, and 30 are found to be defective.

sample proportion

                   [tex]q^{-} = \frac{x}{n} = \frac{30}{340} = 0.0882[/tex]

Step:2

95% of the confidence interval is determined by

[tex](q - Z_{0.05} \sqrt{\frac{pq}{n} } , q + Z_{0.05} \sqrt{\frac{pq}{n} } )[/tex]

[tex]((0.0804 -1.96 \sqrt{\frac{0.0804 X0.9118}{340} } ,0.0804 +1.96 \sqrt{\frac{0.0804 X0.9118}{340})[/tex]

[tex]( 0.0882- 1.96 \sqrt{0.000236} , 0.0882 + 1.96 \sqrt{0.000236} )[/tex]

(0.0882 - 0.03011 , 0.0882+0.03011)

(  0.05809 , 0.1183)

Final answer:-

95% of the confidence interval for q is

(0.05809 , 0.1183)


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How much INTEREST would you earn investing $5000 that earns 7% simple annual interest for 3 years?

Answers

Answer:

$1,125.26

Step-by-step explanation:

Start of Year 1 5000.00

Start of Year 2 5350.00

Start of Year 3 5724.50

Start of Year 4 6125.26

Which angles are pairs of corresponding angles? Check all that apply.
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13/14
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Answer: The pair of corresponding angles are ∠2 and ∠14 , ∠3 and ∠7 . Option (B) and (D) is correct . When two lines are parallel to each other and cross by another line i.e is called the Transversal , the angles lies in the matching corners are called corresponding angles.

hope it helps!!

From the options given, the angles that are pairs of corresponding angles given in the image are:

∠2 and ∠14 ∠3 and ∠7

What are Corresponding Angles?

Corresponding angles will always lie on the same transversal and occupy the same relative position on the two different parallel lines that are intersected by the transversal.

Therefore, from the options given, the angles that are pairs of corresponding angles given in the image are:

∠2 and ∠14 ∠3 and ∠7

Learn more about corresponding angles on:

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Number 26 (PlSss Help I really need help on this) I’ll give 15 points!!!!!!

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[tex]\mathcal\pink{The \: answer \: is }[/tex]

only one window has height that is a whole number of centimeters

[tex]\mathcal{HOPE \: IT \: HELPS}[/tex]

[tex]\huge\pink{mark \: as \: brainliest}[/tex]

The graph of F(x) below resembles the graph of G(x) = x?, but it has been
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Fix) =>
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A. F(x) - x-2
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Answers

Answer:

B. f(x) = 4x² + 2

Step-by-step explanation:

f(x) = 4 (x - 0)² + 2

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Answers

Answer:

Step-by-step explanation:

i need to see the diagram, to help you

Which choices describe a Subscript n Baseline = 4 (0.9) Superscript n? Check all that apply.

S1 = 4
S2 = 6.84
S3 = 10.156

The sequence diverges.

Answers

Answer:

b and d

Step-by-step explanation:

edge 2021

If the first term (a) is 4 and the common ratio (r) is 0.9, then the sequence diverges. Then the correct option is D.

What is a geometric sequence?

Suppose the initial term of a geometric sequence is a

and the term by which we multiply the previous term to get the next term is r

Then the sequence would look like

a, ar, ar², ar³, ...

The sequence is given below.

[tex]\rm a_n = 4 (0.9)^n[/tex]

Then the sum of the sequence will be given as

The first term (a) is 4. And the common ratio (r) is 0.9.

Then we get

[tex]\rm S_n = \dfrac{a (1 - r ^n)}{ (1 - r)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{ (1 - 0.9)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{0.1}\\\\\rm S_n = 40 (1 - 0.9^n)[/tex]

For n = 1, we have

S₁ = 40 (1 - 0.9)

S₁ = 40 x 0.1

S₁ = 4

For n = 2, we have

S₂ = 40 (1 - 0.9²)

S₂ = 40 x 0.19

S₂ = 7.6

For n = 3, we have

S₃ = 40 (1 - 0.9³)

S₃ = 40 x 0.271

S₃ = 10.84

If the common ratio is less than one then the sequence will diverge.

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The length of a rectangle exceeds its width by
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Find the quotient of 3/5 and 2/3

Answers

Answer:

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Answer:

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Step-by-step explanation:

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Find the number of sides of a regular polygon if the sum of the interior angles of the
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Answers

Answer:

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Step-by-step explanation:

Given the following data;

Sum of interior angles, S = 720°

Mathematically, the sum of the interior angles in a regular polygon is given by the formula;

S = 180(n - 2)

Where;

n is the number of sides.

S is the sim of the interior angles

720 = 180(n - 2)

720 = 180n - 360

180n = 720 + 360

180n = 1080

n = 6

ASAP pleeeease ASAP ASAP

You are given the results of measurement of resistors. We are testing the
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Answers

Answer:

As both the standard deviation and the mean have the desired values, the tool passes the technical control.

Step-by-step explanation:

Mean:

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Answers

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Answers

Answer:

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Answers

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Step-by-step explanation:


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Answers

Answer:

Step-by-step explanation:

8x+9/x^2-13x+42

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Answers

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Answer/Step-by-step explanation:

I think its "D. 150"!

-Hope this helped, Comment if you have any other questions!

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Answers

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