Without properly working spark plugs, a vehicle will not run. For a specific vehicle, the spark plugs are supposed to have a gap between 3.9mm and 4.3mm. Any spark plugs with gaps larger or smaller than this will fail inspection and be discarded. At the factory, the machine that sets the gap follows a normal distribution with a mean of 4.1mm and standard deviation of 0.075mm. What is the probability that a randomly selected spark plug passes inspection

Answers

Answer 1

Answer:

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3)  = 0.9922

Step-by-step explanation:

Step(i):-

Given that the mean of the Normal distribution = 4.1mm

Given that the standard deviation of the Normal distribution = 0.0075mm

Let 'X' be the random variable in a normal distribution

Given that X₁ = 3.9mm

[tex]Z_{1} = \frac{X_{1} -mean}{S.D}[/tex]

[tex]Z_{1} = \frac{3.9 -4.1}{0.075} = -2.666[/tex]

Given that X₂ = 4.3mm

[tex]Z_{2} = \frac{X_{2} -mean}{S.D}[/tex]

[tex]Z_{1} = \frac{4.3 -4.1}{0.075} = 2.666[/tex]

Step(ii):-

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3) = P(-2.666≤Z≤2.666)

                     = P(Z≤2.666)-P(Z≤-2.666)

                    = 0.5 +A(2.666) - (0.5-A(2.666)

                   = 2 × A(2.666)

                 = 2×0.4961

                 = 0.9922

Final answer:-

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3)  = 0.9922


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Answers

Answer:

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Answer:

Step-by-step explanation:

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The following are the ages (years) of 5 people in a room:
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Answers

Step-by-step explanation:

vote

Answer:Step-by-step explanation:mean=23+20+15+17+A/6=1923+20+15+17+A=19(6)43+32+A=11475+A=114A=39 More

Answer:

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Answer:

The answer is C

Step-by-step explanation:

(-1,-1) when put into both equations are the same thing.

Look at the data on the line plot. A line plot shows a number line 0.1 to 0.7 in intervals of 0.1. 0.1 has 1 dot. 0.5 has 2 dots. 0.6 has 4 dots. 0.7 has 1 dot. Which data value would be considered the outlier? Enter your answer in the box.

Answers

Answer:

0.1 is the outlier

Step-by-step explanation:

Though the question has a missing attachment (of the line plot), the question can still be answered.

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This implies that 0.1 is an outlier.

Answer:

0.1 is the outlier

Step-by-step explanation:

Look at the data on the line plot.

A line plot shows a number line 0.1 to 0.7 in intervals of 0.1. 0.1 has 1 dot. 0.5 has 2 dots. 0.6 has 4 dots. 0.7 has 1 dot.

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is it possible to form a triangle with sides that each measure 3? what about 3,3 and 9?

Answers

Answer:

No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ANSWER: No; 9. ... No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Answer:

Yes. An Equilateral Triangle have same angles and sides.

All sides are equal.

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Answer: 49.25

Step-by-step explanation:

Daniel says that more than half the students spent 2 1 2 hours or more on homework. Liz says more than half the students spent less than 2 1 2 hours on homework. Who is correct? Explain.

Answers

Answer:

Liz is correct

Step-by-step explanation:

Given

See attachment for complete question

Required

Who is correct? Daniel or Liz

From the attached data, we have:

[tex]Time: 1\frac{3}{4},\ 2\frac{1}{2},\ 2,\ 2\frac{3}{4},\ 1,\ 1\frac{3}{4},\ 1\frac{1}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4},\ 2,\ 2[/tex]

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[tex]n = 12[/tex]

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[tex]Time: 2\frac{1}{2},\ 2\frac{3}{4},\ 3,3\frac{1}{4},\ 3\frac{3}{4}[/tex]

The frequency of this is 5

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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______

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Step-by-step explanation:

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Answers

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Answers

Answer:

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х
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Answers

Answer:

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Step-by-step explanation

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B

Step-by-step explanation:

we are given a quadratic function

we want to figure out the form which we don't need change

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[tex] \displaystyle{x}^{2} - 4x - 5 = 0[/tex]

rewrite -4x as x-5x:

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factor out x:

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factor out -5:

[tex] \displaystyle \: x({x}^{} + 1)- 5(x + 1 )= 0[/tex]

group:

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Step-by-step explanation:

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17

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Receive the answer 17

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5

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

Answer:

200π cm^2

Step-by-step explanation:

Sb = 8^2 π = 64π cm^2

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LA = 15 cm2

Step-by-step explanation: Trust me.

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Answer:

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Step-by-step explanation:

P.S. I'm sorry if I'm wrong!

The ratio of teacher to student in a school
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Answers

Answer:

30

Step-by-step explanation:

teacher x

student 18x

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If the airplane had to return to the airport, how far would it have to travel?

A. 154.11 miles
B. 283.8 miles
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D. 249.22 miles

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Answers

Answer:

The answer is B. 283.8 miles.[tex]\sqrt{b^2[/tex]

Step-by-step explanation:

Using the cosine rule:

b^2 = a^2 + p^2 - 2ap(cosB)

b^2 = 172.20^2 + 111.64^2 - 2 x 172.20 x 111.64(cos177.29)

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b^2 = 42,116.33 - (-38,405.82)

b^2 = 42,116.33 +38,405.82

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[tex]\sqrt{b^2[/tex] = [tex]\sqrt{80,522.15}[/tex]

b = 283.76 miles = 283.8 miles

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