Find the slope of the line through each pair of points (13,-15) (5,5)

The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.

Therefore, the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.

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Solution,

y = -x-4......(i)

3x + y =- 16.......(ii)

Now,

Substituting the value of y in equation (ii)

or, 3x + (-x-4)= -16

or,3x - x - 4 = -16

or, 2x= -16 +4

or, x = -12/2

: x = -6

Then,

Substituting the value of x in (i) equation;

or,y= -(-6) - 4

or,y= 6 - 4

: y =2

Answer:

C

Step-by-step explanation:

Exponential functions have 2 things in common

-They increase infinitely once they approach a certain point

-They don't decrease anymore once they approach a certain point

Answer:

hope it's help you and Sorry if it's not,but i tried

Answer:

D. 1 m

Step-by-step explanation:

100 cm = 1 m

This is a conversion factor

The answer is D. 1m

100cm = 1m

This is a conversion that a lot of people use to convert meters to centimeters or centimeters to meters.

Best of Luck!

Answer:

B.the smaller the Type I error, the larger the Type II error will be

Step-by-step explanation:

In hypothesis, type I error is when we reject the null hypothesis even though it's true while type II error is when we accept the null hypothesis even though it is false.

Now, the type I error is based on the significance level alpha. While the type II error is based on the statistical power beta.

This means that the significance level will affect the statistical power and we know that the significance level is inversely related to the Type II error rate based on beta.

Therefore, we can conclude that;

Having a lower significance level will lead to a decrease in the risk of getting a Type I error, however, it will increase the possibility of having a Type II error.

Thus, option B is correct.

The average speed in kph of a horse and rider be if they cover a total distance of 14 km (remember the trail is winding) in 249 minutes is 3.37 kph.

To find the average speed, we can use the formula: Average speed = Total distance / Total timeWe are given the total distance covered by the horse and rider as 14 km and the time taken to cover this distance as 249 minutes.To find the average speed in kph, we need to convert the time from minutes to hours.

1 hour = 60 minutes Therefore, 249 minutes = 249/60 hours = 4.15 hoursNow we can use the formula:Average speed = Total distance / Total time Average speed = 14 km / 4.15 hoursAverage speed = 3.37 kphTherefore, the average speed in kph of the horse and rider would be 3.37 kph if they cover a total distance of 14 km in 249 minutes.

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Answer:

Area = 153.86

Step-by-step explanation:

Formula: A = \(\pi r^{2}\)

diameter (d) = 14

radius = d / 2

radius is 14 / 2 = 7

A = \(\pi (7)^{2}\\\pi 49\\49\pi \\49(3.14) = 153.86\)

In the United States, a bushel is legally defined as 2,150.42 cubic inches or approximately 35.24 liters. The weight of a bushel depends on the density of the item being measured.

For example, a bushel of wheat weighs approximately 60 pounds, a bushel of soybeans weighs approximately 60 pounds, and a bushel of apples weighs approximately 42 pounds.

A bushel is a unit of measurement used to quantify dry goods such as grains, fruits, and vegetables. The exact weight of a bushel can differ depending on the item being measured.

It is worth noting that the bushel is not a universal measurement, and other countries may use various standards for measuring dry goods.

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Answer:

1,290.32

Step-by-step explanation:

508 x 2.54

Answer:

200

Step-by-step explanation:

divide 508 by 2.54 and boom answer.

If you are confused on long division you can message me and I can try to help.

Answer:

Hey there!

This is an isosceles triangle, so if one angle is 44 degrees, (2 times 22), then the remaining angles add to 136 degrees.

136/2=68, so each of the angles are  68 degrees.

Hope this helps :)

Answer:

C = 68

Step-by-step explanation:

Y = 22

Then A = 2y = 2*22 = 44

We know that A + B + C = 180

And B = C since the base angles of an isosceles triangle are the same

44 + C+C = 180

44+2C = 180

2C = 180-44

2C =136

C = 68

Answer:

D

Step-by-step explanation:

Integers found in:

A: -5, 9/3 = 3

B: 4

C: -12

Hope this helped! ^^

The students in Mrs. Johnson's class with brown hair represents sample of a larger population.

What is a sample?

A sample is characterised as a more manageable and compact version of a bigger group. A smaller population that possesses the traits of a bigger group. When the population size is too big to include all participants or observations in the test, a sample is utilised in statistical analysis.

In this case, the sample would be the group of 17 children in Mrs. Johnson's class with brown hair.

The reason for this is that the sample is a subset of the entire group or population of students in Mrs. Johnson's class, which would include all of the students, not just those with brown hair.

Therefore, the students in Mrs. Johnson's class with brown hair represent a sample of the larger population of all the students in Mrs. Johnson's class.

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Seventeen children in Mrs. Johnson's class have brown hair. The students in Mrs. Johnson's class with brown hair represents which of the following: sample or population?

The possible number of times the binary search algorithm splits the list when searching for a term in the list varies depending on the length of the list and the position of the term within the list.

However, in general, the number of times the list is split during the binary search algorithm is proportional to the logarithm of the length of the list. So, for example, if the list has 8 items, the binary search algorithm may split the list up to 3 times (log base 2 of 8 is 3), while if the list has 1024 items, the binary search algorithm may split the list up to 10 times (log base 2 of 1024 is 10).

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An equilibrium phase diagram can be used to determine phase transitions, phase presence, and phase compositions at different conditions.

An equilibrium phase diagram can be used to determine the below mentioned parameters:

A) It can determine where phase transitions will occur. Phase transitions refer to changes in the state or phase of a substance, such as solid to liquid (melting) or liquid to gas (vaporization). The phase diagram provides information about the conditions at which these transitions take place, such as temperature and pressure.

B) It can determine what phases will be present for each condition of chemistry and temperature. The phase diagram shows the different phases or states of a substance (such as solid, liquid, or gas) under different combinations of temperature and pressure. It provides a visual representation of the stability regions for each phase, indicating which phase(s) will be present at a given temperature and pressure.

C) It can determine the chemistry and amount of each phase present at any condition. The phase diagram gives information about the composition (chemistry) and proportions (amount) of different phases present under specific conditions. It helps identify the coexistence regions of multiple phases and provides insight into the equilibrium compositions of each phase at various temperature and pressure conditions.

In summary, an equilibrium phase diagram is a valuable tool in understanding the behavior of substances and can provide information about phase transitions, phase stability, and the chemistry and amounts of phases present at different conditions.

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Answer:

\(x=77\)

Step-by-step explanation:

103 -x + 2x = 180

1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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The value of the missing side, x, is 12 cm

From the question, we are to determine the value of the side labeled x

From the given information,

The two figures are similar

Thus, by similarity rule, we can write that

8²/52 = x²/117

64/52 = x²/117

x² = (117×64)/52

x² = 7488/52

x² = 144

x = √144

x = 12 cm

Hence, the value of the missing side, x, is 12 cm

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The write-off of the receivable from Madonna Inc. is a necessary adjustment to ensure the accuracy of Marin Co.'s financial statements. Without it, the company's accounts receivable would be overstated and their financial statements would not provide an accurate portrayal of the company's financial position.

At the end of 2024, Marin Co. had accounts receivable of $673,200 and an allowance for doubtful accounts of $24,010. On January 24th, 2025, it was determined that the company's receivable from Madonna Inc. was not collectible and management authorized a write-off of $4,147. This action reduces the accounts receivable balance by $4,147, and reduces the allowance for doubtful accounts by the same amount. The net effect on the balance sheet is a reduction of $4,147 in both accounts receivable and allowance for doubtful accounts.

The impact of the write-off on the company's financial statements is a decrease in net income for the period. This is because a write-off is recognized as an expense, which reduces the amount of net income reported in the period. The amount of the write-off is recorded as an expense on the income statement. In this case, the amount of the write-off is $4,147.

The journal entry to record the write-off would be: Accounts Receivable 4,147; Allowance for Doubtful Accounts 4,147. This entry reduces the accounts receivable and allowance for doubtful accounts by $4,147. The write-off of $4,147 is recorded as an expense on the income statement, and this reduces the net income reported for the period.

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Simple random sampling is least likely to guarantee that the sample will be representative and unbiased.

Simple random sampling is a technique that is used in research in which each member of the population is given an equal chance of being selected. It's the most straightforward and most basic technique for selecting a random sample. Sampling is a statistical method used to gather and analyze data from a subset of a population to provide estimates, hypotheses, or projections of the whole population. A sample is a subset of a population chosen to represent it since it would be difficult to collect data on the entire population. A sample is thus chosen using sampling techniques, which are statistical approaches for choosing representative samples that guarantee unbiased and precise results.

Biased sampling is a type of sampling method that can lead to misleading or erroneous conclusions. It happens when the sample that has been chosen is not representative of the population it is meant to represent. Biased sampling occurs when the selection method used to obtain the sample is flawed.

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Answer:

see explanation

Step-by-step explanation:

(a)

To find the first 4 terms substitute n = 1, 2, 3, 4 into the n th term formula.

a₁ = 1 + 5 = 6

a₂ = 2 + 5 = 7

a₃ = 3 + 5 = 8

a₄ = 4 + 5 = 9

For the 10 th term substitute n = 10, that is

a₁₀ = 10 + 5 = 15

The first 4 terms are 6, 7, 8, 9 and the 10 th term is 15

(b)

Substitute n = 1, 2, 3, 4 and 10 into the n th term formula

a₁ = 2(1) - 1 = 2 - 1 = 1

a₂ = 2(2) - 1 = 4 - 1 = 3

a₃ = 2(3) - 1 = 6 - 1 = 5

a₄ = 2(4) - 1 = 8 - 1 = 7

a₁₀ = 2(10) - 1 = 20 - 1 = 19

The first 4 terms are 1, 3, 5, 7 and the 10 th term is 19

Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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Answer:

Step-by-step explanation:

A: The charge of each electron is -1, so the charge of three electrons is -3. Removing something is denoted by a negative sign. The expression that represents the removal of three electrons from each of four atoms is (-3)(-4).

B: (-3)(-4) = (-1)(3)(-1)(4) = (-1)(-1)(3)(4) = 12

The net change in the charge for the group of atoms is 12 (or +12); that is, the charge of the atoms increases by 12.

C: Adding two electrons to each of six atoms results in a net change in charge of (-2)(6). Removing two protons from each of six atoms results in a net change in charge of (2)(-6).

D: (-2)(6) = (-1)(2)(6) = (-1)(12) = -12

(2)(-6) = (2)(6)(-1) = (12)(-1) = -12

E: The products are the same: -12.

F: If the signs of the numbers are the same, the product is positive. If the signs of the numbers are different, the product is negative.

Answer:

A)

The charge of each electron is -1, so the charge of three electrons is -3. Removing something is denoted by a negative sign. The expression that represents the removal of three electrons from each of four atoms is (-3)(-4).

B)

(-3)(-4) = (-1)(3)(-1)(4) = (-1)(-1)(3)(4) = 12

The net change in the charge for the group of atoms is 12 (or +12); that is, the charge of the atoms increases by 12.

C)

Adding two electrons to each of six atoms results in a net change in charge of (-2)(6). Removing two protons from each of six atoms results in a net change in charge of (2)(-6).

D)

(-2)(6) = (-1)(2)(6) = (-1)(12) = -12

(2)(-6) = (2)(6)(-1) = (12)(-1) = -12

E)

The products are the same: -12.

F)

If the signs of the numbers are the same, the product is positive. If the signs of the numbers are different, the product is negative.

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Answer:

Beam stick out = 2.09 ft

Step-by-step explanation:

Given:

Length of wooden beam = 12 ft

Side of bed =  5.5 ft by 8 ft by 2 ft

Find:

Length of wooden beam needed.

Computation:

\(Length\ of \ diagonal = \sqrt{a^2+ b^+ c^} \\\\\\ Length\ of\ diagonal = \sqrt{5.5^2+ 8^2+ 2^2}\\\\ Length\ of\ diagonal = \sqrt{30.25+64+4}\\\\Length\ of\ diagonal = \sqrt{98.25}\\\\Length\ of\ diagonal = \sqrt{30.25+64+4}\\\\Length\ of\ diagonal = 9.91\)

Length of wooden beam needed = 9.91 ft

Beam stick out = 12 ft - 9.91 ft

Beam stick out = 2.09 ft

The nearest integer 136,043 people. To find the total population within a 3-kilometer radius of the city center, we need to integrate the population density function (∂(x, y)) over the circular region with a radius of 3 kilometers.

Given that the population density (∂) is defined as 7000 (x^2 + y^2)^-0.2 people per square kilometer, we can express the population density as a function of the distance from the origin (r).

Let's perform the integration using polar coordinates, where x = rcos(θ) and y = rsin(θ):

∂(r) = 7000\((r^2)^-0.2\)

∂(r) = 7000\(r^(-0.4)\)

Now, we need to integrate this population density function (∂(r)) over the circular region with a radius of 3 kilometers.

To do this, we integrate from 0 to 2π for the angle (θ), and from 0 to 3 kilometers for the radius (r).

Total population = ∫∫R ∂(r) r dr dθ

Total population = ∫[0 to 2π] ∫[0 to 3] 7000 \(r^(-0.4)\) r dr dθ

Simplifying the integral:

Total population = 7000 ∫[0 to 2π] ∫[0 to 3] \(r^(0.6)\) dr dθ

Total population = 7000 ∫[0 to 2π] [(\(r^(1.6)\))/(1.6)]|[0 to 3] dθ

Total population = 7000 \((1.6)^(-1)\)∫[0 to 2π] [(\(3^(1.6))\)/(1.6)] dθ

Total population = (7000/1.6) \((3^(1.6))\) ∫[0 to 2π] dθ

Total population = (7000/1.6) \((3^(1.6)\)) (θ)|[0 to 2π]

Total population = (7000/1.6) (\(3^(1.6)\)) (2π)

Now, let's evaluate this expression:

Total population ≈ (7000/1.6) (\(3^(1.6)\)) (2π)

Total population ≈ 136042.195 people

Rounding up to the nearest integer, the total population within a 3-km radius of the city center is approximately 136,043 people.

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Answer:

I guess that X measures 50° because X and 50 are vertically opposite angles...

Answer: (2,8)

Step-by-step explanation:

5x+1.25=20

y=4x

5x+1.25y=20       y=4x

1.25y=-5x+20

1.25y/1.25=-5x+20/1.25

y=-4x+16

Answer:

x = ay/(wx+dx)

Step-by-step explanation:

ay/x - dx = wx

ay/x = wx + dx

ay = x(wx+dx)

x = ay/(wx+dx)

Answer:

x=8c

or

x=8

Step-by-step explanation:

Hope that helps :)

The value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

Given that a researcher measures the relationship between two variables, X and Y.

If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then we need to calculate the value of the correlation coefficient.

Correlation coefficient:

The correlation coefficient is a statistical measure that determines the degree of association between two variables.

It is denoted by the symbol ‘r’.

The value of the correlation coefficient lies between -1 and +1, where -1 indicates a negative correlation, +1 indicates a positive correlation, and 0 indicates no correlation.

How to calculate correlation coefficient?

The formula to calculate the correlation coefficient is as follows:

r = SS(XY)/√[SS(X)SS(Y)]

Now, substitute the given values, we get:

r = 340/√[320000]r = 0.34

Therefore, the value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

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