Hiking Trails The Farina family spent a week at the state park. Christine hiked the Evergreen trail twice and the Yellow River trail once. Brian hiked each of the three longest trails once. How many more miles did Brian hike than Christine?​

it would take approximately 11 hours to complete the order if the number of working machines increased by a factor of 2.

An algebraic expression is a mathematical phrase that consists of variables, constants, and mathematical operations, but does not contain an equals sign. Algebraic expressions are used to represent mathematical relationships and are an important tool in algebra and other areas of mathematics.

Algebraic expressions can be simple, such as x + 2, which consists of a variable (x), a constant (2), and an addition operation. More complex algebraic expressions can contain multiple variables, constants, and operations, such as 2x² + 3xy - 4.

Variables in algebraic expressions represent unknown values that can vary or change, while constants are fixed values that do not change. Mathematical operations, such as addition, subtraction, multiplication, and division, are used to combine variables and constants in algebraic expressions.

We can use the following formula to solve the problem:

(number of machines) x (time to complete the order) = constant

Let's call the constant k. If six machines working simultaneously can complete the order in 22 hours, we have:

6 x 22 = k

k = 132

Now, let's double the number of machines to 12 and find the new time it would take to complete the order:

12 x t = 132

where t is the new time it would take to complete the order with 12 machines. Solving for t, we get:

t = 132/12

t ≈ 11

Therefore, it would take approximately 11 hours to complete the order if the number of working machines increased by a factor of 2.

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what is combination ?
In mathematics, a combination is a way of selecting items from a collection, such that the order of selection does not matter. The combination formula gives the total number of ways to choose k items from a set of n distinct items without regard to the order in which they are chosen.

The combination formula is given by:

n choose k = n! / (k! * (n-k)!)

Explanation:
If we have 10 color-coded wires, we can choose 2 wires out of them in (10 choose 2) ways.

(10 choose 2) is a combination formula given by:

(10 choose 2) = 10! / (2! * (10-2)!)

= (10 * 9) / 2

= 45

This means that we need to perform 45 tests to cover all possible pairings of 2 wires from 10 color-coded wires.

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15 < 4 + x

15 - 4 < x

11 < x

Therefore, the solution to the inequality is x > 11.

Using Monotone Convergence Theorem,  {aₙ} is an increasing sequence that is bounded above by 3, and thus it is convergent

To show that the sequence {aₙ} defined by a₁ = 1 and aₙ₊₁ = 3 - (1/aₙ) is increasing, we need to prove that aₙ < aₙ₊₁ for all n.

Let's first prove that aₙ < 3 for all n by induction:

Base case: For n = 1, a₁ = 1 < 3.

Inductive step: Assume aₙ < 3 for some arbitrary n. Then we have:

aₙ₊₁ = 3 - (1/aₙ) < 3 - (1/3) = 8/3

Since aₙ₊₁ is positive (because aₙ < 3), we can also write:

aₙ₊₁ = 3 - (1/aₙ) > 3 - 1 = 2

Therefore, we have:

2 < aₙ < 3 < aₙ₊₁

This shows that {aₙ} is an increasing sequence that is bounded above by 3, and thus it is convergent by the Monotone Convergence Theorem.

To find the limit of {aₙ}, we can take the limit of both sides of the recursive definition:

limₙ→∞ aₙ₊₁ = limₙ→∞ (3 - (1/aₙ))

Since {aₙ} is convergent, we can replace limₙ→∞ aₙ with a to get:

a = 3 - (1/a)

Multiplying both sides by a, we get:

a² = 3a - 1

This is a quadratic equation that can be solved using the quadratic formula:

a = (3 ± √(3² + 4))/2

a = (3 ± √13)/2

Since aₙ < 3 for all n, we have:

a = (3 - √13)/2

Therefore, the limit of {aₙ} is (3 - √13)/2.

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The answer of the question about the points a, b, and c are the sample size is large enough to use the central limit theorem, the mean is $62,000, the standard error $2,700. and the probability of the sample mean is approximately 0.0002.

A) The sample size is large enough to use the central limit theorem for means. This is because the central limit theorem states that the sampling distribution of the mean will approach a normal distribution as the sample size increases, and a sample size of 100 is generally considered to be large enough for the central limit theorem to apply.

B) The mean of the sampling distribution is equal to the population mean, which is $62,000. The standard error of the sampling distribution is equal to the standard deviation of the population divided by the square root of the sample size, or $27,000 / √100 = $2,700.

C) The probability that the sample mean will be more than $2,700 away from the population mean can be found using the standard normal distribution. We can find the z-score for $2,700 using the formula z = (x - μ) / σ, where x is the sample mean, μ is the population mean, and σ is the standard error. Plugging in the values gives us z = ($2,700 - $62,000) / $2,700 = -22.04. Using a standard normal table, we find that the probability of the sample mean being more than $2,700 away from the population mean is approximately 0.0002.

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If a nurse can visit 5 patients each hour. If he has 37 patients to visit in a day.  the nurse can visit all of his patients if he works for at least 8 hours in a day.

Let's start by figuring out how many hours the nurse would need to visit all 37 patients, assuming he could work for a continuous period of time without taking a break:

37 patients ÷ 5 patients/hour = 7.4 hours

However, since the nurse cannot work a fraction of an hour, we need to round up to the nearest hour. Therefore, the nurse would need to work for 8 hours in order to visit all 37 patients.

So, the nurse can visit all of his patients if he works for at least 8 hours in a day.

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Final answer is that there are 500 students in Math 6.

what is percentage ?

Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the % symbol. For example, 50% means 50 out of 100, or 0.5 as a decimal.

According to question:
A. Joey's answer of 180 is not correct. If 300 students are currently mastering their math lessons and this represents 60% of the total number of students in Math 6, we can use the following equation to find the total number of students in Math 6:

60% of the total number of students = 300

0.6 × Total number of students = 300

Total number of students = 300 ÷ 0.6

Total number of students = 500

Therefore, there are 500 students in Math 6, not 180.

B. It is possible that Joey used a method called "guess and check" to arrive at his answer of 180. This method involves guessing a number, plugging it into an equation or problem, and checking to see if it is the correct answer. While this method can be useful in some cases, it is not a reliable method for solving this problem since there are an infinite number of numbers to guess from and the probability of guessing the correct answer is low.

C. To solve this problem correctly, we can use a percent equation. We know that 60% of the students in Math 6 are mastering their math lessons, so we can write:

0.60 × Total number of students = 300

To solve for the total number of students, we can divide both sides of the equation by 0.60:

Total number of students = 300 ÷ 0.60

Total number of students = 500

Therefore, the final answer is that there are 500 students in Math 6.

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Answer:

I'm going to assume it's a right triangle, but if you're looking for the hypotenuse with the side lengths 5 and 8, then the answer is 9.434

Flint is starting a business. Before starting to sell anything, he bought fixtures for £1,200, a van for £6,000 and an inventory of goods for £2,800. Although he has paid in full for the fixtures and the van, he still owes £1,600 for some of the inventory. B. Rub lent him £2,500. After the above, Flint has £200 in the business bank account and £175 cash in hand. Total capital is £10,375

What do you mean by capital?

Any employed financial asset might be considered capital. A company's capital is represented on its balance sheet as the earnings from its ongoing operations. The money in a bank account, the proceeds from the sale of stock shares, and the proceeds from the sale of bonds are a few examples.

A factory and its equipment, intellectual property like patents, or the financial assets of a company or a person are all examples of things that provide value or benefit to their owners and fall within the broad definition of capital.

Fixtures= £1,200, van= £6,000, inventory of goods= £2,800, cash =£375

So, Total assets= £10,375

Payable=  £1,600, loan from Rub= £2,500, Balancing figure= £6,275

Total liabilities= £10,375

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The answer is option B, 1(1/2) yards.

How to determine the total amount?

We apply the following total sales calculation to get the total sales amount.

Total sales = original price + original price * sales tax rate

To find out how many yards of cloth remain, we need to subtract the amount used for making curtains from the total amount provided:

Total amount of cloth provided = 5(3/4) yards

Amount of cloth used for curtains = 4(1/4) yards

Remaining amount of cloth = Total amount of cloth provided - Amount of cloth used for curtains

= 5(3/4) - 4(1/4) yards

= 5 yards + 0.75 yards - 4 yards - 0.25 yards

= 1(1/2) yards

Therefore, the answer is option B, 1(1/2) yards.

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0.0248 is the probabilty that he or she is allergic to multiple foods .

What is probability and its formula?

The probability serves as a gauge for the possibility that an event will occur. It quantifies the certainty of the event.

                         The probability equation is stated by the following notation: P(E) = Number of Favorable Outcomes/Number of Total Outcomes.

P(food allergy and history of severe reaction) = 0.08 x 0.38

= 0.0304

b) P(allergic to multiple foods) = 0.08 x 0.31

= 0.0248

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Rounding to the nearest whole number, we can conclude that 24 people did not agree with the proposal.

If the idea was rejected by 56% of the group, then 44% of the group, or 100%, agreed with the plan.

Let x be the proportion of the group who rejected the proposition. The percentage of the group that approved of the idea was then 44%, or 0.44 times the total number of group members.

The problem states that there are 43 individuals in the group as a whole. As a result, we may construct the equation shown below:

x + 0.44(43) = 43

When we find x and simplify, we get:

x = 43 - 0.44(43) (43)

x = 23.96

We can estimate that 24, or the nearest whole number, did not support the proposition.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{x}{5} = 2}[/tex]

[tex]\large\textbf{Multiply 5 to both sides:}[/tex]

[tex]\mathsf{\dfrac{x}{5} \times 5= 2\times 5}[/tex]

[tex]\large\textbf{Simplify it:}[/tex]

[tex]\mathsf{x = 2\times 5}[/tex]

[tex]\mathsf{x = 10}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = 10}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day\bf !}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

B 3

notice that beside the 30 degree there is also 90 degree. please see the attachment.

(x-4)²+(y+7)²=4² is the equation of the circle represented by the given figure.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

We have to find the equation of the circle for the given figure.

(x-h)²+(y-k)²=r²

(h, k) is the centre of the circle.

From the image the centre is at (4, -7)

So h=4 and k=-7.

y+16=0

r=4

Substituting these values in the standard form we get

(x-4)²+(y+7)²=4²

Hence, (x-4)²+(y+7)²=4² is the equation of the circle represented by the given figure.

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Answer:

Step-by-step explanation:

Let's start by figuring out how many deposits Jennie will make over the 6 month period. Since she receives two deposits per month, she will receive a total of 2 x 6 = 12 deposits.

Next, let's calculate how much money she will receive from these deposits. Each deposit is for $500, so over 12 deposits she will receive a total of 12 x $500 = $6000.

Now we need to figure out how much money Jennie will spend on living expenses over the 6 month period. She spends $450 every month, so over 6 months she will spend 6 x $450 = $2700.

To find the balance of Jennie's bank account after 6 months, we can use the following equation:

Balance after 6 months = starting balance + total deposits - total living expenses

Plugging in the values we calculated earlier, we get:

Balance after 6 months = $110 + $6000 - $2700

Balance after 6 months = $4400

Therefore, Jennie will have a balance of $4400 in her bank account after 6 months.

Answer:

(a) Pour trouver le nombre d'étudiants qui suivent les trois matières, on peut utiliser la formule suivante:

Answer:

the efficiency of the generator is 81.82%.

Step-by-step explanation:

The efficiency of a generator is defined as the ratio of the electrical power output to the mechanical power input. In this problem, the electrical power output is given as 90 hp, and the mechanical power input is the power supplied by the engine, which is 110 hp. Therefore, the efficiency of the generator can be calculated as follows:

Efficiency = Electrical power output / Mechanical power input

Efficiency = 90 hp / 110 hp

Simplifying the fraction, we get:

Efficiency = 0.8182

To convert this decimal to a percentage, we multiply by 100:

Efficiency = 0.8182 * 100

Rounding to two decimal places, we get:

Efficiency = 81.82%

Therefore, the efficiency of the generator is 81.82%.

Answer:

meidien 39 and the mean 37.2

Step-by-step explanation:

23 32 39 40 52 see 32 is the mediem

add them than dived than u get 37.2

Answer:

X = -29/22

Step-by-step explanation:

I used PEMDAS to solve the question

Answer:

The correct statement is (B), You can safely carry out the test if your sample size is large and there are no outliers.

Step-by-step explanation:

Step 1: Given Information

A one-sample test about a population mean using a significance level.

Next,  OR Step 2

To identify the correct statement:

(a) False, because if a distribution is moderately skewed, then you can still carry out the test if the sample size is large ( or more).

(b) True, because if the sample size is larger ( or more) and there are no outliers, then you can still safely carry out the test.

(c) False, the sample size should be large ( or more) since the distribution is moderately skewed.

(d) False, the one-sample  test can only be used if the population standard deviation is unknown. You apply the onesample  test if the population standard deviation is known.

(e) False, -procedures are not robust, because they are heavily influenced by outliers.

Thus the answer to your problem is, B.

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Maura will have 5, 206 points at either hotel by booking 301 nights.

To find the number of points, we shall assume that nights are denoted as n. The number of points for Hotel Elegance will be shown as :

= Signing up points + ( Number of points per night x Number of nights)

= 89 + 17 n

The number of points for Hotel Paradiso is:

= 691 + 15 n

The number of nights that Maura needs to stay for the points to be the same is :
89 + 17 n = 691 + 15 n

17 n - 15 n = 691 - 89

2 n = 602

n = 602 / 2

n = 301 nights

The number of points would be :

= 691 + 15 n

= 691 + 15 x 301

= 5, 206 points

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Answer:

The geometric mean of 16 and 36 is 24

Booth's additional funds needed (AFN) for the coming year is $365.

What is additional funds?

Additional Funds Needed (AFN) is a way of calculating how much new funding will be required, so that the firm can realistically look at whether or not they will be able to generate the additional funding and therefore be able to achieve the higher sales level.

Use the following formula to calculate Booth's additional funds needed (AFN) -

AFN = (A*/S)ΔS - (L*/S)ΔS - MS1(RR)

where -

A* = Total assets excluding spontaneous liabilities

S = Sales

ΔS = Increase in sales

L* = Total spontaneous liabilities

MS1 = Net income (1 - RR), where RR is the retention ratio (1 - payout ratio)

Start by calculating A* and L*.

Since we are told that spontaneous liabilities increase at the same rate as sales, we can use the percentages provided to calculate the required increases in each account -

Accounts receivable: ΔAR = 0.5(S1 - S0) = 0.5(2000 - 1000) = 500

Inventories: ΔINV = 0.5(S1 - S0) = 0.5(2000 - 1000) = 500

Accounts payable: ΔAP = 0.5(S1 - S0) = 0.5(1000 - 500) = 250

Accruals: ΔACC = 0.5(S1 - S0) = 0.5(1000 - 500) = 250

A* = Total assets - spontaneous liabilities

= $1000 - ($200 + $50 + $250 + $50 + $250)

= $200

L* = Spontaneous liabilities

= $200 + $50 + $250 + $50

= $550

Next, calculate the increase in fixed assets that would be required if Booth operated at full capacity -

ΔFA = (FCR)(ΔS)

where FCR is the fixed assets capacity ratio, given by -

FCR = Actual sales / Full capacity sales

= $1000 / (2 x $1000)

= 0.5

ΔFA = (0.5)(1000)

= 500

Now calculate AFN using the formula -

AFN = (A*/S)ΔS - (L*/S)ΔS - MS1(RR)

= ($200 / $1000)(1000) - ($550 / $1000)(1000) - ($30)(0.5)

= $365

Therefore, the value is obtained as $365.

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The Booth Company's sales are forecasted to double from $1,000 in 2016 to $2,000 in 2017. Here is the December 31, 2016, balance sheet:

Cash  $  100  Accounts payable  $   50

Accounts receivable  200  Notes payable  150

Inventories  200  Accruals  50

Net fixed assets  500  Long-term debt  400

Common stock  100

Retained earnings  250

Total assets  $1000  Total liabilities and equity  $1000

Booth's fixed assets were used to only 50% of capacity during 2016, but its current assets were at their proper levels in relation to sales. Spontaneous liabilities and all assets except fixed assets must increase at the same rate as sales, and fixed assets would also have to increase at the same rate if the current excess capacity did not exist. Booth's after-tax profit margin is forecasted to be 3% and its payout ratio to be 50%. What is Booth's additional funds needed (AFN) for the coming year? Round your answer to the nearest dollar.

Answer: 2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

[tex]\frac{1}{2} *\frac{10}{1} = \frac{10}{2} = 5[/tex]

The conclusion that the herds are not statistically different is false.

The correct option is B.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

You conducted a t-test to determine whether two herds of elk have statistically different migration dates.

The resulting p-value was .03.

Here, the p-value is less than 0.05.

That means,

the p-value is statistically significant.

And there is a 3% chance that the null hypothesis should be rejected.

Your conclusion is that the herds are not statistically different.

Therefore, your conclusion is incorrect.

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After doing some thinking, I believe it's 6 m.

To minimize h(c) = E( | X - c | ), we need to find the value of c that makes the difference between X and c as small as possible.

One way to do this is to find the median of the support set. The median is the middle value when the values are arranged in ascending order.

In this case, the median is 5, so c = 5 is the value that minimizes h(c).

To compare c with the value of b that minimized g(b) = E[( X - b )^2], we need to find the value of b that makes the difference between X and b as small as possible squared. One way to do this is to find the mean of the support set.

The mean is the sum of the values divided by the number of values. In this case, the mean is (1 + 2 + 3 + 5 + 15 + 25 + 50) / 7 = 14.57, so b = 14.57 is the value that minimizes g(b).

Comparing c and b, we can see that c = 5 is closer to the median of the support set, while b = 14.57 is closer to the mean of the support set. This is because the median is a measure of central tendency that is less affected by extreme values, while the mean is a measure of central tendency that is more affected by extreme values.

Therefore, c = 5 is the value that minimizes h(c) = E( | X - c | ), while b = 14.57 is the value that minimizes g(b) = E[( X - b )^2].

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Using arithmetic operations it is obtained that after the increase, the pay will be $13.50 per hour.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

To calculate the increase in pay, start by multiplying the current hourly rate of $12.50 by the percentage increase of 8% -

Increase in pay = $12.50 x 8/100

Increase in pay = $12.50 x 0.08

Increase in pay = $1.00

So, the increase in pay is $1.00 per hour.

To find the new hourly rate after the increase, add the increase in pay to the current hourly rate -

New hourly rate = $12.50 + $1.00 = $13.50

Therefore, the increased, pay will be $13.50/hr.

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x is 146 degrees

This is because angle y and angle x are supplementary, which means their measures add up to 180 degrees

180 - 34 = 146

Answer: x = 146°

Step-by-step explanation:

Given that y = 35°, Using linear pair

x+y = 180

x+35=180(Substitute value of y)
x=180-35(Transposition Method)

x=145°