Develop a 95% confidence interval for the mean number of miles driven until transmission failure for the population of automobiles with transmission failure. Provide a managerial interpretation of the interval estimate. 3. Discuss the implication of your statistical findings in terms of the belief that some owners of the automobiles experienced early transmission failures. 4. How many repair records should be sampled if the research firm wants the population mean number of miles driven until transmission failure to

Answer:

L = w + 8

P = 2L + 2w

256 = 2 (ancho + 8) + 2w

256 = 2 vías + 16 + 2 vías

256 = 4 semanas + 16

240 = 4w

w = 60

La longitud es 60 + 8 = 68

el ancho es 60

Answer:

Step-by-step explanation:

Let the number we are looking for be x. If Jack divided 1,826.5 by the number to get a quotient of 18.265, to get the number we will solve the equation;

1,826.5/x = 18.265

Cross multiply

1826.5 = 18.265x

Divide both sides by 18.265

18.265x = 1826.5

18.265x/18.625 = 1826.5/18.625

x =  100

Hence Jack divide 1,826.5 by 100 to get a quotient of 18.265

Here, we are required to find the number Jack divide 1,826.5 by to get a quotient of 18,265?

The number is 100

First, it is important to form an expression from the data given;

Let the no. which Jack divided 1,826.5 by be x.

The result of the division yields a quotient of 18.265.

From the statements above;

1,826.5/x = 18.265

Therefore, 1826.5 = 18.265x.

Therefore, x = 1826.5/18.265 = 100.

Therefore,

the number which Jack divided 1,826.5 by to get a quotient of 18.265 is x = 100.

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Answer:

i got w= 9/28                              here is the equation i used because i couldn't tell what is said exactly: 6 2/3w= 15/7

Step-by-step explanation:

Answer:

i think its c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that:

population mean = 10

standard deviation = 0.1

sample mean = 9.8 < x > 10.2

The z score can be computed as:

[tex]z = \dfrac{\bar x - \mu}{\sigma}[/tex]

if x > 10.2

[tex]z = \dfrac{10.2- 10}{0.1}[/tex]

[tex]z = \dfrac{0.2}{0.1}[/tex]

z = 2

If x < 9.8

[tex]z = \dfrac{9.8- 10}{0.1}[/tex]

[tex]z = \dfrac{-0.2}{0.1}[/tex]

z = -2

The p-value = P (z ≤ 2) + P (z ≥ 2)

The p-value = P (z ≤ 2) + ( 1 -  P (z ≥ 2)

p-value = 0.022750 +(1 -   0.97725)

p-value = 0.022750 +  0.022750

p-value = 0.0455

Therefore; the probability of defectives  = 4.55%

the probability of acceptable = 1 - the probability of defectives

the probability of acceptable = 1 - 0.0455

the probability of acceptable = 0.9545

the probability of acceptable = 95.45%

4.55% are defective or 95.45% is acceptable.

sampling distribution of proportions:

sample size n=1000

p = 0.0455

The z - score for this distribution at most 5% of the items is;

[tex]z = \dfrac{0.05 - 0.0455}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}[/tex]

[tex]z = \dfrac{0.0045}{\sqrt{\dfrac{0.04342975}{1000}}}[/tex]

[tex]z = \dfrac{0.0045}{\sqrt{4.342975 \times 10^{-5}}}[/tex]

z = 0.6828

The p-value = P(z ≤ 0.6828)

From the z tables

p-value = 0.7526

Thus, the probability that at most 5% of the items in a given batch will be defective = 0.7526

The z - score for this distribution for at least 85% of the items is;

[tex]z = \dfrac{0.85 - 0.9545}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}[/tex]

[tex]z = \dfrac{-0.1045}{\sqrt{\dfrac{0.04342975}{1000}}}[/tex]

z = −15.86

p-value = P(z ≥  -15.86)

p-value = 1 - P(z <  -15.86)

p-value = 1 - 0

p-value = 1

Thus, the probability that at least 85% of these items in a given batch will be acceptable = 1

a. 0.7526

b. 1

Given that:

[tex]\sigma = 0.1\\\mu = 10\\[/tex]

It is given that item is acceptable if 9.8 < X < 10.2

Calculating standard variate value for :

1. x = 9.8:

[tex]z = \dfrac{x - \mu}{\sigma}\\[/tex]

z = -2

2. x=  10.2

[tex]z = \dfrac{x - \mu}{\sigma}\\[/tex]

z = 2

Now we can convert P( 9.8 < X < 10.2) to P(-2 < Z < 2).

Calculating

P(-2 < Z < 2) = P(Z <2) - P(Z < - 2)

                   = 0.9772 - 0.0227           (refer these values from z score table)

                   =  0.9545

Thus, the probability that an item from that population if randomly selected, it has 0.9545 probability to be acceptable.

And thus probability of an item to be defective is 1 - 0.9545 = 0.0455.

The batch size is 1000 unit.

The probability that at most 5% items are defective is calculated by z scores:

[tex]z = \dfrac{0.05-0.045}{\sqrt[2]{\dfrac{0.0455\times 0.9545}{1000}}}[/tex]

or

z = 0.6828

P( at most 5% defective) =    [tex]P(Z \leq 0.6828)[/tex]

= 0.7526 ( from z score table).

[tex]z = \dfrac{0.85-0.9545}{\sqrt[2]{\dfrac{0.0455\times 0.9545}{1000}}}[/tex]

or

z = -15.8

and thus

P( at least 85% acceptable ) = P(Z >= -15.8) = 1- P(Z < -15.8)

P( at least 85% acceptable ) = 1 - 0 = 1

The z score tables give p values.

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Answer:

34.8

Step-by-step explanation:

36-1.2 = 34.8

Answer:

6 cans cost $3.75

Step-by-step explanation:

12 cans = $7.50 divided by 2 = $3.75

Answer:

6 cans cost 3.75

Step-by-step explanation:

7.50/2=3.75

Answer:

An item in a set is called an element.

Step-by-step explanation:

I hope this helps.

Answer:

27,28,and29

Step-by-step explanation:

27+28+29=84

For example:

x+(x+1)+(x+2)=84

3x+3=84

3x=81

x=27

Now  since x=27,replace the x

21+1=28

28+1=29

27+28+29=84

Hopes this helps :)

The three consecutive numbers whose sum is 84 is 27, 28 and 29.

Given the question to find three consecutive numbers whose sum is 84.

Consecutive numbers are numbers which lies next to each other in the set of counting numbers.

Let x be the starting number in the set of counting numbers.

Then the next consecutive number to it is x + 1.

And the next consecutive number to this is x + 2.

So we have,

x + x + 1 + x + 2 = 84

Adding like terms,

3x + 3 = 84

Subtracting 3 from both sides,

3x = 81

Dividing by 3 on both sides,

x = 27

So, x + 1 = 27 + 1 = 28

x + 2 = 27 + 2 = 29

Hence the numbers are 27, 28 and 29.

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Answer: 2(0) + 8 does not equal 12, not a solution.

2(2) +8 = 12 yes it is a solution

2(-3) + 8 does not equal 12, not a solution

2(5) + 8 does not equal 12, not a solution.

Step-by-step explanation:

Looks like you need to plug in each y value given and multiplied by 2 and add 8

2(0) + 8 does not equal 12, not a solution.

2(2) +8 = 12 yes it is a solution

2(-3) + 8 does not equal 12, not a solution

2(5) + 8 does not equal 12, not a solution.

Answer:

[tex]( - 2x + 2) - ( - 7x - 4)[/tex]

[tex] = - 2x + 2 + 7x + 4[/tex]

[tex] = - 2x + 7x + 2 + 4[/tex]

[tex] = 5x + 6[/tex]

hope it helped you:D

Answer:

579>544

Step-by-step explanation:

579 is greater than 544

Answer:

544<579

Step-by-step explanation:

544 is less than 579. This is because 544 is not more than 579. 579 is the bigger number . < means less than .> means greater than .= means equal to

i dont know how this is even considered college math lol.

The length of each side will be 5 yards. The correct option is C.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.

Given that a small square garden has an area of 25 square yards. The side of the square will be calculated as,

The formula for the area of the square is,

Area = side²

25 = Side²

Side = √25

Side = 5 yards

Hence, the side of the square will be 5 yards.

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The solution is Option B.

The value of x = 4 is not a solution to the equation | x + 5 | = -9

What is Modulus Function?

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the equation be represented as A

Now , the value of A is

| x + 5 | = -9   be equation (1)

On simplifying the equation , we get

The modulus function always returns a positive value

So , when x = 4

Substitute the value of x = 4 in the equation , we get

| 4 + 5 | = -9

| 9 | = -9

And , 9 ≠ -9

Therefore , the equation is False

Hence , the solution is false and the modulus function returns a positive value

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Answer:

5

Step-by-step explanation:

35/ 5 = 7

The correct answer is Charlie's lemonade

Explanation:

The quantity of lemon vs sugar depends on the ratio each boy used. In the case of James, the ratio of water to the lemonade mix was 7:2. This means he 2 added scoops of lemonade for every 7 cups of water. On the other hand, the ratio of Charlie was 25: 10, which can be simplified as 5: 2 by dividing both numbers by a common divisor (5). This shows, Charlie's lemonade is stronger because he added the same lemonade mix in a lower amount of water, which would make the lemonade have a stronger flavor.

Answer: x=12

Step-by-step explanation: x - 5 =12 the inverse operation of subtracting is adding so add 5 to both sides and you are left with x=7 + 5 the 5 on the left side cancels each other out so now all you do is add 5 to 7 and your left with x = 12

Answer:

10

Step-by-step explanation:

Step 1- Substitute the expression.

[tex]\frac{5(4-2(-3))}{2(4)+(-3)}[/tex]

Step 2- Multiply to simplify.

[tex]\frac{5(4+6)}{8-3}[/tex]

Step 3- Simplify the parenthesis.

[tex]\frac{5*10}{8-3}[/tex]

Step 4- Subtract.

[tex]\frac{5*10}{5}[/tex]

Step 5- Reduce the fraction with 5.

[tex]\frac{5*10}{5}[/tex]  The 5's are crossed out when simplified.

= 10

Answer: 3p=1/2

Just do it right now

Answer:

y = 63 when x = 36

Step-by-step explanation:

The answer is 63 because 36 divide by 8 is 4.5 and 14 times 4.5 equals 63

Hope this helps and can you please mark me brainliest because I just need 4 more brainliest to become expert.

Answer:

60 x 60 = 3600

Step-by-step explanation:

First if we wanted to, this is optionial, we can simplify this; 6 x 6 = 60 x 60

So 6x6 = 36, so for 60 x 60 we would add 2 0´s to the answer since we have 2 zeros added up  in 60 and 60. so 60 x 60 = 3600

Answer:

10

Step-by-step explanation:

6x5=30

40-30=10

Answer:

Step-by-step explanation:

Given line:

Converted to slope-intercept form of y= mx + b

Parallel lines have a same slope, so the line will be:

Using the point given (0.5, 6), finding the value of b:

So the line is:

or

Answer:

Step-by-step explanation:

Find the attachment in the diagram. According to the diagram, the sum of angle on the straight line AOB is 180°. Also the < AOD is equal to <COB (oppositely directed angle)

From the diagram;

m∠COE+m∠EOF+m∠FOB = <COB

Given

m<AOD = 152

m∠COE = 3x

m∠EOF = x

m∠FOB = x+ 12

Since < AOD  = < COB, the expression above becomes;

m∠COE+m∠EOF+m∠FOB = m<AOD

Next is to substitute the given parameters into the formula above to get x;

3x+x+x+12 = 152

5x+12 = 152

subtract 12 from both sides of the equation

5x+12-12 = 152-12

5x = 140

divide both sides by 5;

5x/5 = 140/5

x = 28°

Hence the measure of angle x is 28°

Answer:

your answer is incorrect thr correct answer is a

550 + 0.05c

Step-by-step explanation:

you are supposed to multiply 1/3 and 1650 then 1/3 * 0.15c

Answer:A ratio is a comparison of two numbers or measurements. A rate is a special ratio in which the two terms are in different units. ... For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. The first term of the ratio is measured in cents; the second term in ounces.

Answer: its called a additive inverse

Step-by-step explanation:

Answer:

the opposite positive number is negative, and the opposite to a negative number is positive.

Step-by-step explanation:

In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite number, sign change, and negation. For a real number, it reverses its sign: the opposite to a positive number is negative, and the opposite to a negative number is positive.

Answer:

Step-by-step explanation:

If we let s, p, c represent the cost of cleaning the shirts, pants, and coats, respectively, the problem information lets us write three equations:

  3s +1p +0c = 11.46

  5s +2p +1c = 27.92

  5s +0p +1c = 19.94

__

A variety of methods and tools are available for solving these equations. We can do it "by hand" using elimination and substitution.

Subtracting the 3rd equation from the 2nd, we get ...

  (5s +2p +c) -(5s +c) = (27.92) -(19.94)

  2p = 7.98

  p = 7.98/2 = 3.99

Substituting this value into the first equation gives ...

  3s +1(3.99) = 11.46

  3s = 7.47 . . . . . . . . . . subtract 3.99

  s = 7.47/3 = 2.49

Substituting this value into the last equation gives ...

  5(2.49) +c = 19.94

  c = 7.49 . . . . . . . . . . . subtract 12.45

Rachel was charged ...

  $2.49 for each shirt

  $3.99 for each pair of slacks

  $7.49 for each sports coat

Answer:8.72 I think

Step-by-step explanation: