Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 134 millimeters, and a standard deviation of 8 millimeters. If a random sample of 44 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters? Round your answer to four decimal places.

Answers

Answer 1

; 134

a:8

n:44

3.6

3.6

P,ob.Z);Jlty : 1 - P(:

<z<-

[ - ]]p(-2.98 ' z ' 2.98)]

[ -]p(z ' 2.98) - p(z ' -2.98)]

[ - E0.9986 - 0.0014]

=0.0028

Thompson And Thompson Is A Steel Bolts Manufacturing Company. Their Current Steel Bolts Have A Mean Diameter
Answer 2

The probability that the sample mean would differ from the population mean by greater than 3.6 millimeters is approximately 0.0014.

To determine the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters, we can use the Central Limit Theorem and assume that the sample mean follows a normal distribution.

Given:

Mean diameter of the population (μ) = 134 millimeters

Standard deviation of the population (σ) = 8 millimeters

Sample size (n) = 44

Difference from the population mean (d) = 3.6 millimeters

To find the probability, we need to calculate the z-score and then find the corresponding area under the normal curve.

First, calculate the standard error of the mean (SE):

SE = σ / sqrt(n)

SE = 8 / sqrt(44) ≈ 1.206

Next, calculate the z-score using the formula:

z = (x - μ) / SE

For a difference of 3.6 millimeters, we have:

z = (3.6 - 0) / 1.206 ≈ 2.988

Using a standard normal distribution table or a calculator, we can find the area to the right of the z-score (greater than 2.988). The area represents the probability.

P(z > 2.988) ≈ 0.0014

Rounding to four decimal places, the probability that the sample mean would differ from the population mean by greater than 3.6 millimeters is approximately 0.0014.

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Related Questions

What is the value of x?

Answers

Answer:

x = 27

Step-by-step explanation:

Based on the angle bisector theorem, we would have the following:

(x + 8)/10 = (2x - 5)/14

Cross multiply

14(x + 8) = 10(2x - 5)

14x + 112 = 20x - 50

Collect like terms

14x - 20x = -112 - 50

-6x = -162

Divide both sides by -6

-6x/-6 = -162/-6

x = 27

In the figure shown, the measures of all angles are equal, and AB = EF.

What type of transformation appears to map ABC onto EFG?

A. reflection
B. translation
C. rotation
D. none of the above

Answers

Answer:

your answer will be C. rotation

Step-by-step explanation:

hope it helps...

have a great day!

The type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation

What is ASA congruency?

If corresponding two angles and one corresponding side of two triangles are of same measurement, then the considered pair of triangles are congruent.

For this case, both the triangles ABC and EFG satisfy the ASA congruency. Thus, they are congruent. Congruent triangle means they are just same, but might be placed different or rotated.

For this case, for making ABC look like EFG, we need to rotate it, and will have to move it too(which is called translation).

Thus, the type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation

For some cases, we may ignore translation and just call them transformed rotationally, because usually two triangles will be placed different. But in literal sense, these two transformation will be needed for sure.

Learn more about rotation of triangles here:

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if z is real then what is z*?​

Answers

Answer:

Step-by-step explanation:

z is a non negitave real number

find the area, round to the nearest tenth if necessary

Answers

9514 1404 393

Answer:

  78 in²

Step-by-step explanation:

The legs of an isosceles right triangle are the same length, so the figure is telling you the height of the parallelogram is 6.5 in. The area is ...

  A = bh

  A = (12 in)(6.5 in) = 78 in²

Find the value of x

Answers

Answer:

x=66

Step-by-step explanation:

A straight line is equal to 180 degrees so we can make the equation 180=2x-48. After this we can do 180-48=2x then we can do 132/2=x

HELP GIVING 25 POINTS, PLS HELP ITS SIMPLE INEQUALITIES, PLS HELP!! ADD ME ON DISCORD simen#9651 FOR MORE PROBLEMS AND A LOT MORE POINTS I HAVE LIKE 470 POINTS, PLS HELP PLS PLS PLS HELPP!!

Answers

It is c my guy please be honest and give me brainliest. Thanks

Help please, again, sorry I’m struggling

Answers

Answer:

7 feet

Step-by-step explanation:

Answer:

A. 4ft

Step-by-step explanation:

It would be four feet because since the opening is 3ft and the length is 5ft, it would be 4ft because the length is going to be close to the height which would also be the same with the opening. The opening is always a little shorter than the top of the tent meaning this would be 4ft.

pls help me I am in the middle of a test! If i get a bad grade I wont be able to go with my friends

Answers

Answer:

It would be right skewed.

Step-by-step explanation:

As you can see, the graph gets smaller as it goes to the right.

PLZ GIVE BRAINLIEST

I need help the area of the triangle is 24 square feet. Hat is the lengths of the base

Answers

Answer:

The answer is B the base is 16 feet

to find the base of a triangle the formula is b=2[tex]\frac{A\\}{h}[/tex]

hope this helps

Solve the equation using the quadratic formula.
y2-8y + 17 = 0
The solution set is

Answers

Step-by-step explanation:

Formula is:

x=(-b±  √b^2-4ac)/2a

a= 1

b= -8

c= 17

x= (-(-8)±√64-4(1)(17))/2

x= (8±√-4)/2

now

x1= (8+√-4)/2

x2=(8-√-4)/2

First, write the expression Second, 7 in fol the variable, p. Third, by 7 and 5. The answer is​

Answers

Answer:

p-5

substitute

simplify

subtracting

2

Step-by-step explanation:

got it right on edg

Find Y.
Round to the nearest tenth.
Z
8 ft
17 ft
Х
Y
16 ft
Y= [?]°

Answers

Answer:

Y = 27.8°

Step-by-step explanation:

Apply the Law of Cosines which is given as c² = a² + b² - 2ab*Cos C

Where,

c = 8

a = 17

b = 16

C = Y

Plug in the values

8² = 17² + 16² - 2*17*16*Cos Y

64 = 545 - 544*Cos Y

64 - 545 = -544*Cos Y

-481 = -544*Cos Y

Divide both sides by -544

-481/-544 = Cos Y

0.884191176 = Cos Y

Y = cos^{-1}(0.884191176)

Y = 27.8478491° ≈ 27.8° (nearest tenth)

Answer:

does any body have c?

Step-by-step explanation:

Which ordered pair is a solution to the inequality 7x – 3y > 10? O (1,2) O (1,0) 0 (3, 4) 0 (1, - 1)​

Answers

Step-by-step explanation:

7(3) - 3(4) > 10

21 - 12 > 10

9 > 10

0 > -1

The solution for the inequality is not in the given options.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 7x – 3y > 10

Seven x minus three times of y greater than ten

Now let us consider all the options to find the ordered pair of inequality.

When we substitute x and y value it should be greater than 10.

(1,2)

7(1)-3(2)>10

7-6>10

1>10 NO

(1,0)

7(1)-3(0)>10

7>10 NO

(3,4)

7(3)-3(4)>10

21-12>10

9>10 NO

(1,-1)

7(1)-3(-1)>10

7+3>10

10>10 NO

Hence the solution for the inequality is not in the given options.

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Given the following information: P(A) = 0.62 P(B) = 0.25 P(A and B) = 0.12 P(B given A) = 0.19 What is the probability of A or B? Round your answer to the nearest hundredth as needed. P(A or B) =

Answers

Answer:

P(A or B) = 0.75

Step-by-step explanation:

For Venn probabilities, we have that:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

In which [tex]P(A \cup B)[/tex] is P(A or B).

We have that:

[tex]P(A) = 0.62, P(B) = 0.25, P(A \cap B) = 0.12[/tex]

So

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.62 + 0.25 - 0.12 = 0.75[/tex]

P(A or B) = 0.75

What is the solution to 5/6 X 2/3 =
? Mark the TWO correct

answers.

Answers

Answer:

5/9

Step-by-step explanation:

Answer:

i think is 5/9 :))

What is JM? please help :((

Answers

Answer:

I think its D 30

Step-by-step explanation:

Tell if the slope is positive, negative, zero, or no slope.
POSITIVE

Answers

Answer:

Negative

Step-by-step explanation:

The line is trending downwards, which is indicative of a negative slope.

if the probability of passing a driving test is 0.9,what is the probability of failing the driving test

Answers

Answer:

0.1

Step-by-step explanation:

Lol hi again . hope this helped you

The answer is 0,1
Help

Simplify the radical expression. ⁴√81x²⁰y²⁴

I think it's either A or B​

Answers

Answer:

3x^5y^6 (a)

Step-by-step explanation:

La raiz de un productor es igual al producto de las raices de cada factor

^4√81 ^4√x^20 ^4√y^24

escriba el numero en forma exponencial an base 3

^4√3^4 ^4√x^20 ^4√y^24

simplifica el indice de la raiz y el exponente usando 4

^4√3^4 x^5 ^4√y^24

simplifica el indice de la raiz y el exponente usando 4

^4√3^4 x^5 y^6

simplifica el indice de la raiz y el exponente usando 4

3x^5y^6

What is the domain of the function y= x+6 -7?
O X>-7
0 x>-6
O X>6
O X>7​

Answers

Answer:

x>-6

Step-by-step explanation:

please mark me as brainliest answer

i think it would be x>-6


Stacy walked 0.550 kilometers from her house to her school. Which of the following is equivalent to this distance?

A. 5.5 mm
B. 55 cm
C. 550 m
D. 5500 km

Answers

it is c i believe. not really sure

A bag of trail mix contains 3 ounces of peanuts, 6 ounces of cranberries, 2 ounces of almonds, and 2 ounces of raisins.

What is the ratio of ounces of peanuts to ounces of almonds? Write the ratio in three different ways?

Answers

Answer: 9514 1404 393

3 : 2

3/2

1.5

Step-by-step explanation:

Ratios can be written using a colon, division symbol, or as a pure number. (Consult your curriculum materials to see what their take on it is.)

3 ounces of peanuts to 2 ounces of almonds can be written as ...

 peanuts : almonds = 3 : 2 = 3/2 = 1.5

HURRYYYYYYYYY


What is the domain of the function y=x?
-00 0 0 0 1

Answers

Answer:

All real numbers

Step-by-step explanation:

The domain of the function is the set of real values that can be substituted into a function to produce a valid output. Any real number can be substituted into the function (y = x), and produce a valid output. Thus, the domain is all real numbers.

Julio invests $6,100 into an account that earns 5.2% annual compound interest. If Julio makes no additional deposits or withdrawals, which best represents the amount of interest Julio will earn after 8 years?


A $15,250.73

B $2,120.73

C $3050.73

D $9150.73

Answers

D) $9150.73

Step-by-step explanation:

Simple compound irate =

principal*growth rate^years

or

V(t) = p*g^t

Where g = 100% + the given growth rate,

in this case, 5.2%

So,

V(8) = 6,100*1.052^8

V(8) = 9150.73

Helppp I’ll brainlest....

Answers

Answer:

1.) B

2.) B

Step-by-step explanation:

1.) The outlier is a dot that is no where near the rest of the data.

2.) The median can be found by writing down all of the numbers from left to right (example... Test 1 would be 50 60 60 60 60 70 70 75 75 75 75 80 80 80 85) and then cross out numbers from each side until you just have one number in the middle.

For test 1 the median is 75

For test 2 the median is 85

(08.03) Consider the following pair of equations:

y = 3x + 3
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answers

The answer is (-2,-3) sorry I don’t know how to explain it

Solvefor x. 3x+ 2 = 9 –x

Answers

Answer:

x = 7/4

Step-by-step explanation:

3x+ 2 = 9 –x

3x + x = 9 - 2

4x = 7

x = 7/4

please answer you will be awarded brainleist

Answers

Answer:

Hi, I'm here!

Find AB, B equal 44° C equals 53° and b equals 7

Answers

Answer:

Step-by-step explanation:

Remark

I take it you are studying the sine law. If that is so, Then it will be set up as

Formula

x/sin(53) = 7 / sin(44)     Multiply both sides by Sin(53)

Solution

Sin(53)x/Sin(53) = 7 sin(53)/Sin(44)

x = 7*Sin(53)/Sin(44)

x = 7 * 0.7986/0.6947

x = 8.0848

Note:

The sine law is always set up by 2 ratios. It consists of the sine of an angle divided by the side opposite = equal to another angle's sine over the side oppose the second angle.

The sine law can also be set up as two ratios side opposite / sin(Angle).

A box has a length of 6 centimeters, a width of 4 centimeters, and a height of 5
centimeters. Jen filled the bottom layer of the box with 24 cubes. What is the
volume of the box?

Answers

Answer:

120 centimeters cubed

Step-by-step explanation:

You don't even need to know the last part. multiply length x width x height=volume (6x4x5) to get 120. the volume is 120 centimeters cubed :)

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