If the cost for your car repair is in the lower 5% of automobile repair charges, what is your cost (to two decimals)?

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Answer 1

If the cost for your car repair is in the lower 5% of automobile repair charges, what is your cost (to two decimals)

Given that the cost for your car repair is in the lower 5% of automobile repair charges.The standard normal distribution table is used to solve the problem at hand.The table is available online as well as in some books that focus on statistics and probability.Using a standard normal distribution table:To find the value of z-score, we need to use the following formula:`z = (x - μ) / σ`Where x is the given value, μ is the mean, and σ is the standard deviation.Now, we know that the lower 5% of the normal distribution has a z-score of -1.64.Using this z-score formula, we get:-1.64 = (x - μ) / σIf the value of x is 0, which corresponds to the mean value of the normal distribution, we get:-1.64 = (0 - μ) / σOr, -1.64σ = -μOr, μ = 1.64σSince the lower 5% is given, the remaining 95% will have the cost `C` such that the value of `C` is greater than the cost of 5% of the cars. Therefore, we are looking at a two-tailed test where alpha (α) is 0.05 and alpha (α/2) is 0.025.

Therefore, using the z-table, we get z = -1.645We know that the cost of the car is in the lower 5% of the automobile repair charges. It is, therefore, clear that the given cost will be less than the mean cost. Now, we can calculate the value of the given cost using the z-score formula.z = (x - μ) / σ-1.645 = (x - μ) / σPutting the value of μ obtained above in the equation,-1.645 = (x - 1.64σ) / σ-1.645σ = x - 1.64σx = -1.645σ + 1.64σ= 0.005σTherefore, the cost of the car repair, to two decimal places, is approximately equal to `0.005σ`. Hence, the main answer to this problem is `0.005σ`.

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Related Questions

The diameter of a quarter is approximately 2 millimeters. How many quarters would u need to make a two kilometer high pile?

Answers

Answer:

The number of quarters required to pile up to 2 km are 1000000.

Step-by-step explanation:

Diameter of each quarter = 2 mm

Total height = 2 km

Number of quarters required is given by

$\frac{ 2 km}{2 mm}\\\\\frac{2\times 1000\times 1000 mm}{2 mm}\\\\= 1000000$

what is mean by Expanded form power of 10 please answer it quickly urgent!

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The expanded form of a power of ten is like modeling the expanded for mhm of a normal number but in terms of powers of ten. Here, I will demonstrate by showing you an example. Here is the expanded form of 1,000:

1,000.

Why? Well, the expanded form of 1,000 is itself because it is in a digits place notable for being able to do expanded form in. There are the ones place, tens place, hundreds place, and thousands place. Because ten to the third power is 1,000, the number itself is representative of its own expanded form. This varies for numbers that are different though. Another example would be as follows; the number 1,783. Here is the expanded form of that number:

1,000 + 700 + 80 + 3

Remember the digits places I mentioned above (ones, tens, hundreds, and thousands)? Those come in handy for these kinds of numbers. 1 is in the thousands place so the number is 1,000. 7 is in the hundreds place so the number is 700. 80 is in the tens place so the number is 80. Lastly, 3 is in the ones place so the number is 3. An easy way to remember expanded form is to just take the number by what digits place it is in, and multiply it by the corresponding digit value that it is in. For example, to get 80, we can do 8 x 10 because we are multiplying the 8 that is in the tens place by the digit place it is in, which happens to be the tens place. If you need to better understand, let me know and I will gladly assist you!

show that the equation is not an identity by finding a value of x for which both sides are defined but not equal.

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By choosing x = 0, we have found a value for which both sides of the equation 1 / (1 - x) = 1 / x are defined but not equal. This demonstrates that the equation is not an identity.

Let's consider the equation:

1 / (1 - x) = 1 / x

To show that this equation is not an identity, we need to find a value of x for which both sides are defined but not equal.

Let's examine the left side of the equation first. The expression 1 / (1 - x) is defined for all values of x except when the denominator becomes zero. Therefore, 1 - x ≠ 0. Solving this inequality, we find that x ≠ 1.

Now let's examine the right side of the equation. The expression 1 / x is defined for all values of x except when the denominator becomes zero. Therefore, x ≠ 0.

To find a value of x that satisfies both conditions (x ≠ 1 and x ≠ 0), we can choose x = 0.

For x = 0, the left side of the equation becomes 1 / (1 - 0) = 1, while the right side becomes 1 / 0, which is undefined.

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Question 10 If the optimal value of the objective function in a linear programming problem exists, then that value [Select) of the corner points of the feasible region. Question 11 A [Select) of a solution region is a point in the region that is the intersection of two boundary lines.

Answers

Question 10 The optimal solution must occur at one of the vertices (or corner points) of the polygon.

Question 11 A vertex represents a point where two boundary lines intersect and form a corner of the region.

Question 10 The optimal value of the objective function in a linear programming problem exists at one of the corner points of the feasible region.

This is because the objective function is linear and the feasible region is a convex polygon, so the optimal solution

must occur at one of the vertices (or corner points) of the polygon.

For question 11, a vertex (or corner point) of a solution region is a point in the region that is the intersection of two

boundary lines.

This is because a vertex is defined as the point where two or more edges or lines meet, and in a solution region, the

edges or lines represent the constraints of the problem.

Therefore, a vertex represents a point where two boundary lines intersect and form a corner of the region.

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Divide. (5 1/4)÷(−2 1/2)

Answers

Answer:

the answer of deviding will be ( -2.1)

Identify the Levels of Measurement (Nominal, Ordinal, Interval, or Ratio) a. The letter grade on a 5-point quiz measuring knowledge of algebra b. City of birth c. Hat, shirts, shoes, pants d. Military rank ~ Lieutenant, Captain, Major e. Amount of money in a savings account f. Heat measured in degrees centigrade

Answers

Answer:

Use the formula

Step-by-step explanation:

I think you can use the formula y=mx+b, but I'm not fully sure.

Soledad buys 5 ounces of frozen yogurt for $2.25. What is the unit price of the frozen yogurt in dollars per ounce?

Answers

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

answer will be: 0.45

hence, you divide 2.25 by 5.

The difference btwn 2 villages is over 24km Write this as an algebraic statement

*HELP*

Answers

Answer:

|x - y| > 24

Step-by-step explanation:

The difference btwn 2 villages is over 24km Write this as an algebraic statement

To solve :

Let us represent the two villages with an alphabet :

Let:

Village 1 = x

Village 2 = y

The difference between the two villages : |Village 1 - Village |, that is x - y

The difference is more than 24 km, that is > 24

Hence,

Algebraically,

|x - y| > 24

When 40% of a number is added to the number, the result is 168.
What is the number?

Answers

Answer:

-100.8

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Let's call the number x. 40% of that number is 4/10x, or 0.4x

So x + 0.4x = 168

1.4x = 168

1.Divide each side by 1.4

x = 120

The number is 120

How do you find the perimeter of a Triangle with sides of 9.2 cm, 4.7 cm, and 8.5 cm

Answers

Answer:

22.4cm

Step-by-step explanation:
Since your finding the perimeter you add the numbers.

9.2+4.7+8.5= 22.4cm

What is the recursive rule for the sequence −3, −1, 1, 3...?

Answers

Answer:

Step-by-step explanation:

-3 + 2 = -1

-1 + 2 = 1

1 + 2 = 3

Answer:

$a_{n}$ = $a_{n-1}$ + 2

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = - 1 - (- 3) = 1 - (- 1) = 3 - 1 = 2

A recursive rule allows a term in the sequence to be found by adding d to the previous term, that is

$a_{n}$ = $a_{n-1}$ + 2

Emma but two identical bottles of shampoo. She uses 3/8 of one of them at home, and uses 7/10 of all of the remaining while she’s on Hollidays. In total, how much shampoo remains?

Answers

Answer:

37/40

Step-by-step explanation:

3/8 7/10

80/40 - 15/40 - 28/40 = 37/40

two whole shampoo - uses at home - uses on holiday = left

rectangle has a length of 24 in. and a width of 14 in. it is dilated and the image has a width of 21 in. what is length of the image of the rectangle? (

Answers

Calculating this expression, we find that the length of the image of the rectangle is 36 in.

To find the length of the image of the rectangle after dilation, we can use the property of similar triangles. Since the width of the image is known to be 21 in., we can set up a proportion:

(image width) / (original width) = (image length) / (original length)

Substituting the known values, we have:

21 in. / 14 in. = (image length) / 24 in.

Solving for the image length, we get:

(image length) = (21 in. / 14 in.) * 24 in.

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Exercise 10
You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. What is the probability of the compound event? Write your answer as a fraction or percent rounded to the nearest tenth.

Answers

The probability of choosing a 5 and then a 6 is 1/49

Finding the probability of the compound event

From the question, we have the following parameters that can be used in our computation:

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

Answers

Answer:

y = −7x + 17

Step-by-step explanation:

y + 4 = -7 (x - 3)

add -4 to both sides

y + 4 + -4 = -7x + 21 + -4

y = -7x + 17

How many ways can three items be selected from a group of six items? Use the letters A, B, C, D, E, and F to identify the items, and list each of the different combinations of three items. (Enter your answers as a comma-separated list. Enter three unspaced capital letters for each combination.) ABC, ABD, ABE, ABF, ACD, ACE, DEFX

Answers

There are 20 many ways can three items be selected from a group of six items.

Here we consider simple random sampling which can be further of two types that are:

With replacement, when the samples used in previous round of choosing are put back in the population for the upcoming rounds.

When the data are sampled with replacement the number of samples are $N^{n}$, where N is population and n is sample number.

Without replacement, when the samples used in previous round are not returned back in the population for the upcoming rounds of sampling.

When the data are sampled without replacement there are n P r or n C r number of items as sample in given set.

The number of ways to select three items from a group of six items can be found using the combination formula:

C(6, 3) = 6! / (3! * (6 - 3)!) = 20

So there are 20 different combinations of three items that can be selected from the group of six items. Here they are listed as three-letter combinations:

ABC, ABD, ABE, ABF, ACD, ACE, ACF, ADE, ADF, AEF, BCD, BCE, BCF, BDE, BDF, BEF, CDE, CDF, CEF, DEF

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what is the probablilty that the sample mean contents of the 10 bottles

Answers

The probability of the sample mean contents of the 10 bottles will depend on the distribution of the contents in the population, the sample size, and the sample mean.

The probability of the sample mean contents of the 10 bottles will depend on the distribution of the contents in the population from which the sample is drawn. If the distribution is normal, then the probability of the sample mean can be calculated using the formula:

P(x) = (1 / √(2πσ^2)) * e^(-(x-μ)^2 / (2σ^2))

Where μ is the population mean, σ is the population standard deviation, and x is the sample mean. The probability of the sample mean will be the area under the normal curve between the sample mean and the population mean.

If the distribution is not normal, then the probability of the sample mean can be calculated using the central limit theorem, which states that the distribution of sample means approaches a normal distribution as the sample size increases. In this case, the probability of the sample mean can be calculated using the formula for the normal distribution, with the sample mean as the mean and the standard error of the mean as the standard deviation.
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Suppose that a phone that originally sold for $800 loses 3/5 of its value each year after it is released.
Write an equation for the value of the phone, p, t years after it is released. Use ^ to denote exponents.

Answers

Answer:

$p = 800 \frac{2}{5} ^{T}$
Step-by-step explanation:

Let's assume that the initial value of the phone is $800, and that its value decreases by 3/5 each year.

After one year, the phone will be worth 2/5 of its initial value:

$800 x (2/5) = $320

After two years, the phone will be worth 2/5 of its value after one year:

$320 x (2/5)^1 = $128

I rlly need help!
A rectangle, a triangle, and two congruent semicircles were used to form the figure shown.

Which measurement is closest to the area of the figure in square centimeters?

Answers

Answer:

Step-by-step explanation:

On the 405 freeway one can travel 65 miles per hour (mph), how many kilometers per hour (kph) is the car travelling

Answers

Answer:

104.607kph

Step-by-step explanation:

Conversion from mph to kph = 1.609mph

At a coffee shop, the amount of tax due is calculated based on the cost of the customer's
order.
t = the amount of tax due
c = the cost of the order
Which of the variables is independent and which is dependent?

Answers

In this context, the dependent variable is t (amount of tax due) and the independent variable is c (cost of the order).In this scenario, the variables are t (the amount of tax due) and c (the cost of the order).

To determine which variable is independent and which is dependent, we need to understand their relationship.In this case, the amount of tax due, t, is calculated based on the cost of the customer's order, c. The tax amount is dependent on the cost of the order because it is directly influenced by the value of c. As the cost of the order changes, the amount of tax due will also change accordingly.

On the other hand, the cost of the order, c, is independent. It is not influenced or determined by the amount of tax due. The customer can choose the cost of their order, and the tax will be calculated based on that chosen amount.

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iota power 2 is equal to

Answers

Answer:

-1

Step-by-step explanation:

The iota is a complex notation represented by the letter i in complex number.

iota power 2 can also be written as;

i^2

In complex number, the square root of -1 is iota. This can be expressed as;

$\sqrt{-1} = i$

Take the square of both sides

$(\sqrt{-1})^2 = i^2\\-1 = i^2\\Rearrange\\i^2 = -1$

Hence the iota power 2 is equal to -1

If the quadratic formula is used to find the solution set of 3x + 4x-2 = 0, what are the solutions?

Answers

Answer is c
hope it helps I’m new at this

HELP‼️❗️‼️❗️‼️❗️‼️

Drag each graph to show if the system of linear equations it represents will have no solutions, one solution, or infinitely many solutions

Answers

Ones that have an answer intersect.

I'LL GIVE BRAINLIEST PLEASE ANSWER ALL FOUR PLEASE

Answers

Answer:

Step-by-step explanation:

1.) 700*0.42 = 294. Out of the 700 people at the concert, 294 are tennagers.

2.) 1.07*$450 = $481.50, including sales tax (final price)

3.) 120/(100%-85%) = 120/0.15 = 800. Original amount of water is 800 ml (Check by 800mL*0.15, which equals 120 mL)

4.) 100-35-45 = 20%

250*20% = 50; Out of the 250 sandwiches, Josh made 50 ham sandwiches.

What are all the values that a correlation r can possibly take?A. 0 ≤ r ≤ 1B. r ≥0C. -1 ≤ r ≤ 1D. None of the above.

Answers

The values that a correlation r can possibly take are -1 ≤ r ≤ 1. Thus, option C is correct as per the correlation relation.

Correlation is a statistical measurement that describes the extent to which two variables are linearly related to each other in positive and negative directions. The correlation coefficient is denoted by r.

The value of correlation r can range from -1 to 1. Here,

-1 indicates: a perfect negative correlation

0 indicates: no linear correlation

1 indicates: a perfect positive correlation

Therefore, we can conclude that the values that a correlation r can possibly take are between -1 ≤ r ≤ 1.

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As a sample size is increased, which of the following statements best describes the change in the standard error of the sample mean and the size of the confidence interval for the true mean?
A) The standard error decreases and the confidence interval narrows.
B The confidence interval widens while the standard error decreases.
C) The standard error increases while the confidence interval narrows.

Answers

The correct answer is: A) The standard error decreases and the confidence interval narrows.

As the sample size increases, the standard error of the sample mean decreases. The standard error measures the variability or spread of the sample means around the true population mean. With a larger sample size, there is more information available, which leads to a more precise estimate of the true population mean. Consequently, the standard error decreases.

Moreover, with a larger sample size, the confidence interval for the true mean becomes narrower. The confidence interval represents the range within which we are confident that the true population mean lies. A larger sample size provides more reliable and precise estimates, reducing the uncertainty associated with the estimate of the population mean. Consequently, the confidence interval becomes narrower.

Therefore, statement A is the most accurate description of the change in the standard error of the sample mean and the size of the confidence interval for the true mean as the sample size increases.

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please help, i am not good at maths, brainiest will be given

Answers

Answer:

Modal average is the number that appears the most

Modal average: 3

1+2+3+4+5=15

15/3= Mean: 3

Step-by-step explanation:

add all the bedrooms and divide that sum by the number of numbers added. That's the mean.

Hope this helps.

A) 4 is the mode of the table

1+2+3+4+5=15

15/5=3

Identify the coefficient and the number of terms in the
following expression.
152 +8
A.) Coefficient: , number of terms: 1
B.) Coefficient: 2, number of terms: 2
C.) Coefficient: 8, number of terms: 1
D.) Coefficient: 15, number of terms: 2

Answers

Answer:

The answer is A because there are no coefficients which is a letter and 1 term.

Find a point-slope form for the line with slope 1/5 passing through the point (-1,-7)

Answers

Answer:

y + 7 = 1/5(x + 1)

-----------------------------------------

The point-slope form:

y - y₁ = m(x - x₁), where m- is the slope, (x₁, y₁) is the point on the line

Substitute the given values to get:

y - (-7) = 1/5(x - (-1))

Simplify:

y + 7 = 1/5(x + 1)

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