a farmer was on his tractor and drove by some chickens and pigs in his field he counted 30 heads and 84 legs

The best function that would model the progression of the points in the scatter plot is an exponential function (option D).

To determine which function best models the progression of the points in the scatter plot, we can analyze the pattern of the data. Let's examine the options:

A. A linear function describes a straight line. Looking at the scatter plot, we can see that the points do not form a straight line, so a linear function is not the best choice.

B. A quadratic function represents a curve that opens upwards or downwards. The scatter plot does not exhibit a clear quadratic pattern, so a quadratic function is unlikely to be the best choice.

C. A square root function represents a curve that increases at a decreasing rate. There is no clear indication of a square root pattern in the scatter plot, so a square root function may not be the best choice.

D. An exponential function represents a curve that increases or decreases at an increasing rate. When examining the scatter plot, we can observe that the points show a clear trend of exponential growth. As the x-values increase, the corresponding y-values grow at an increasing rate. Therefore, an exponential function is likely the best choice to model the progression of the points.

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For this case we know that the real pyramid is 24 ft of tall

And we also know that we have a scaled model with a height of 2ft and a wide of 1ft in the base

Since the scale model preserve the factors between all the dimensions (that means if we compress by a factor of 1/2 all the dimensions would be compressed 1/2), we can do the following taking in count just the heights given:

So then the answer for this case would be 1/12 or 1:12 for the scale figure

Yes, the mean and standard deviation of a sampling distribution can be calculated even if the population is not normal.

However, it is important to note that certain conditions must be met for the sampling distribution to be approximately normal, particularly when the sample size is large due to the Central Limit Theorem.

Assuming the sampling distribution meets the necessary conditions, here's how you can calculate the mean and standard deviation:

Mean of the Sampling Distribution:

The mean of the sampling distribution is equal to the mean of the population. Regardless of the population's distribution, the mean of the sampling distribution will be the same as the mean of the population.

Standard Deviation of the Sampling Distribution:

If the population standard deviation (σ) is known, the standard deviation of the sampling distribution (also known as the standard error) can be calculated using the formula:

Standard Deviation (σ_x(bar)) = σ / √n

where σ_x(bar) represents the standard deviation of the sampling distribution, σ is the population standard deviation, and n is the sample size.

If the population standard deviation (σ) is unknown, you can estimate the standard deviation of the sampling distribution using the sample standard deviation (s). In this case, the formula becomes:

Standard Deviation (s_x(bar)) = s / √n

where s_x(bar) represents the estimated standard deviation of the sampling distribution, s is the sample standard deviation, and n is the sample size.

It is important to keep in mind that these calculations assume that the sampling distribution is approximately normal due to the Central Limit Theorem. If the sample size is small or the population distribution is heavily skewed or has extreme outliers, the sampling distribution may not be approximately normal, and different techniques or approaches may be required to estimate its properties.

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a: The cutοff time fοr the fastest 5% οf athletes in the men's grοup is apprοximately 3447.68 secοnds.

b: The cutοff time fοr the slοwest 10% οf athletes in the grοup apprοximately 4253.68 secοnds.

The nοrmal distributiοn is a cοntinuοus prοbability distributiοn that is widely used in statistics tο describe real-wοrld phenοmena that tend tο cluster arοund a central value.

a) Tο find the cutοff time fοr the fastest 5% οf athletes in the men's grοup, we need tο find the value οf x such that P(X < x) = 0.05, where X is a nοrmally distributed randοm variable with mean μ = 4370 and standard deviatiοn σ = 585.

Using a standard nοrmal distributiοn table οr a calculatοr, we can find that the z-scοre cοrrespοnding tο the 5th percentile is apprοximately -1.645. Therefοre, we can write:

(x - μ) / σ = -1.645

Substituting the given values, we get:

(x - 4370) / 585 = -1.645

Sοlving fοr x, we get:

x = 4370 + (-1.645) * 585

x ≈ 3447.68 secοnds

Hence, the cutοff time fοr the fastest 5% οf athletes in the men's grοup is apprοximately 3447.68 secοnds.

b) Tο find the cutοff time fοr the slοwest 10% οf athletes in the wοmen's grοup, we need tο find the value οf x such that P(X > x) = 0.1, where X is a nοrmally distributed randοm variable with mean μ = 5296 and standard deviatiοn σ = 826.

Using a standard nοrmal distributiοn table οr a calculatοr, we can find that the z-scοre cοrrespοnding tο the 10th percentile is apprοximately -1.28. Therefοre, we can write:

(x - μ) / σ = -1.28

Substituting the given values, we get:

(x - 5296) / 826 = -1.28

Sοlving fοr x, we get:

x = 5296 + (-1.28) * 826

x ≈ 4253.68 secοnds

Hence, the cutοff time fοr the slοwest 10% οf athletes in the grοup apprοximately 4253.68 secοnds.

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Answer:

720 square inches.

Step-by-step explanation:

To find the surface area of a triangular prism, we need to find the area of each face and add them together.

The triangular bases have base 12 in and height 15 in, so the area of each is:

(1/2) × 12 in × 15 in = 90 in²

The rectangular faces have dimensions 20 in × 15 in and 20 in × 12 in, so their areas are:

20 in × 15 in = 300 in²

20 in × 12 in = 240 in²

Adding these up, we get:

2 × 90 in² + 300 in² + 240 in² = 720 in²

the surface area of the triangular prism is 720 square inches.

The length of the line segment AB is 11/2 mm.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know a line segment parallel to one side of a triangle divides the other two sides in the same ratio.

Therefore, AC/AB = EC/ED.

22/AB = 44/11.

2/AB = 4/11.

4AB = 22.

AB = 11/2.

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Answer:

The prism has 9 edges, The bases of the prism are triangles, and the prism has 5 faces.

Would really appreciate a brainliest! Hope this helped! =)

Answer: B, C, E

Step-by-step explanation: dude trust me c'mon

Answer: 13%

Step-by-step explanation:

To find the percent increase, first find the increase in figures:

= 149,160 - 132,000

= 17,160 people

Then find the percent increase in this manner:

= Increase / Previous population * 100%

= 17,160 / 132,000  * 100%

= 13%

Answer:

This is the Fibonacci Sequence. The next number is found by adding up the two numbers before it. Therefore the next number is (13+8) 21.

Step-by-step explanation:

The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.

Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.

The future maintenance costs for the truck can be calculated as shown below:

Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:

\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is

5.Substituting the given values in the above equation:

\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.

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Answer:

(3,0)

Step-by-step explanation:

0(x)+3=3

6(y)-6=0

Therefore, Don's car would use 67.035 L of gas to travel 735 km.

Cross multiplication is a method used to compare the relative sizes of two fractions. To cross-multiply two fractions, you multiply the numerator of one fraction by the denominator of the other fraction, and then do the same with the other numerator and denominator, putting the two products equal to each other. For example, if you have the fractions 2/3 and 3/4, you can cross-multiply as follows:

\(2/3 = x/4\)

\(2 x 4 = 3 x x\)

\(8 = 3x\)

\(x = 8/3\)

So, the two fractions are equivalent, and both are equal to 8/3. Cross-multiplication can also be used to solve equations that involve fractions, by isolating the variable on one side of the equation.

To find out how much gas Don's car would use to travel 735 km, we can use the fact that the car uses 9.1 L of gas every 100 km. We can set up a proportion to solve for the amount of gas used:

9.1 L / 100 km = x L / 735 km

To solve for x, we can cross-multiply and simplify:

\(9.1 L * 735 km = 100 km * x L\)

\(6703.5 Lkm = 100 km * x L\)

\(6703.5 Lkm / 100 km = x L\)

\(67.035 L = x L\)

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Answer:

-34

Step-by-step explanation:

first do substitution: -8 · 6 + -4 · -2 + 6

next do the multiplication: -48 + 8 + 6

add: -34

hope this helps!!!

Answer:

-34

Steps:

-8x - 4y + x

-8x + x = -7x (combine like terms)

-7x - 4y

-7(6) - 4(-2) (plug in the numbers)

-42 +8=

-34

:")

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

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

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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Answer:

The predicted number of wins for a team that has an attendance of 2,100 is 25.49.

Step-by-step explanation:

The regression  equation for the relationship between game attendance (in thousands) and the number of  wins for baseball teams is as follows:

\(\hat y = 4.9\cdot x + 15.2\)

Here,

y = number of wins

x = attendance (in thousands)

Compute the number of wins for a team that has an attendance of 2,100 as follows:

\(\hat y = 4.9\cdot x + 15.2\)

  \(=(4.9\times 2.1)+15.2\\=10.29+15.2\\=25.49\)

Thus, the predicted number of wins for a team that has an attendance of 2,100 is 25.49.

The predicted win for 2100 attendance is 25.49. Option A is correct.

Given information:

A sports statistician was interested in the relationship between game attendance (in thousands) and the number of  wins for baseball teams.

The regression equation is \(\hat y= 4.9x + 15.2\)

where x represents the attendance (in thousands) and ŷ is the predicted number of wins.

It is required to calculate the number of wins for an attendance of 2100 or 2.1 thousand.

The required predicted number of wins can be calculated as,

\(\hat y= 4.9x + 15.2\\\hat y= 4.9\times 2.1 + 15.2\\\hat y=25.49\rm\;wins\)

Therefore, the predicted win for 2100 attendance is 25.49.

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It is important to check for multicollinearity in a regression model and take steps to reduce it, such as removing one of the highly correlated independent variables or using regularization techniques.

Multicollinearity is a statistical phenomenon where two or more independent variables in a regression model are highly correlated with each other. This can cause problems in the regression model as it becomes difficult to distinguish the individual effects of the independent variables on the dependent variable.
When multicollinearity is present in a regression model, the p-values of the slopes of the independent variables are affected. The p-value measures the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. The null hypothesis in a regression model is that the slope of the independent variable is zero, meaning that there is no relationship between the independent variable and the dependent variable.
Multicollinearity can cause the standard errors of the slopes to increase, leading to inflated p-values. In other words, the significance of the relationship between the independent variable and the dependent variable may be underestimated. This is because the highly correlated independent variables are both trying to explain the same variation in the dependent variable, leading to an unreliable estimate of the effect of each independent variable on the dependent variable.
Therefore, it is important to check for multicollinearity in a regression model and take steps to reduce it, such as removing one of the highly correlated independent variables or using regularization techniques. This can help to ensure that the regression model produces reliable estimates of the effects of the independent variables on the dependent variable.

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D. 43.3

Step-by-step explanation:

Recall SOH-CAH-TOA

we can use the Sine and Cosine functions along with the relationships to the sides of a triangle to solve this problem.

a) The speed of the car in front of you appears to be coming towards you is 41t₀. The speed of the car behind you appears to be gaining on you at the same speed is 41t₀. Someone standing on the ground would say that the two cars are moving at t₀ + 41t₀ = 82t₀.

b) We know that the speed of the fish in still water is V, and the speed of the current is C. And the time the fish takes to swim downstream is 61t₀ and upstream is 31t₀. So:

Downstream: V + C = L / (61t₀)

Upstream: V - C = L / (31t₀)

Adding the two equations we get:

2V = (4L / 61t₀) → V = (2L / 61t₀)

Therefore, C = (L / 61t₀) which is the speed of the current.

c)In order to get across the river, you have to swim at a speed perpendicular to the current (so that you don't get drifted away) and with a speed of fa * 3L, as given. Therefore, the required angle can be found by:

f a3L = (V cos α)sin α

= (C cos α)sin αtan α

= (fa * 3L) / C

= 3fa * 61t₀ / Ld)

The width of the river is 31L. The time taken to get across can be found using the formula:

Time = (Distance) / (Speed)

Since the speed of the current is C, the effective speed (in still water) is fa * 3L, the distance to be crossed is 31L, and the time taken is:

Time = (31L) / (fa * 3L - C)  

= (31L) / (3fa * 61t₀ / L)

= (31L²) / (3fa * 61t₀)

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999

why becuase thats the answer mine had

The solution of the system of equation is as follows:

The system of equation can be solved algebraically using substitution method.

The system of equation can be solved when we find the value of x and y as follows:

y = 4x + 1

6x - 2y = 3

Let's substitute the equation(i) in equation(ii)

6x + 2(4x + 1) = 3

6x + 8x + 2 = 3

14x + 2 = 3

14x = 3 - 2

14x = 1

x = 1 / 14

let's find y as follows:

y = 4(1 / 14) + 1

y = 4 / 14 + 1

y = 2 / 7 + 1

y = 2 + 7 / 7

y = 9 / 7

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Answer:

k

Step-by-step explanation:

Answer:ok

Step-by-step explanation:

Answer:

y-2=2(x+3)

Step-by-step explanation:

Multiply first then you would wanna add but you can't until you subtract 5-3 then add I got 12

The product of a rational number and an irrational number is always irrational. So the given statement is true.

To understand why, let's assume we have a rational number represented as p/q, where p and q are integers and q is not equal to zero. We also have an irrational number represented as √2.

If we multiply the rational number p/q by the irrational number √2, we get:

(p/q) * √2 = (p√2)/q

Since √2 is irrational and q is a non-zero integer, the numerator p√2 remains irrational. Dividing an irrational number by a non-zero integer does not change its irrationality.

Therefore, the product (p√2)/q is an irrational number, proving that the product of a rational number and an irrational number is irrational.

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a single number expressing the null hypothesis's defined mean or difference in means

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

Here the data is normally distributed and using the sample mean.

a single number expressing the null hypothesis's defined mean or difference in means

Hence we should use z test when computing a confidence interval null hypothesis's defined mean or difference in means

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An equilateral triangle with a side of 84 is made up of 882 tiny equilateral triangles.

Given that the large equilateral triangle is made up of 84 rows of tiny equilateral triangles.

The length of the side of the large equilateral triangle is 84.

Therefore the total number of tiny equilateral triangles in the large triangle can be found by multiplying the number of tiny triangles in each row by the total number of rows.

Each row of the large equilateral triangle is made up of a smaller equilateral triangle with 1 unit height and half the side of the large equilateral triangle.

The height of the tiny equilateral triangle is therefore (1/2)√3 × 1

= 1/2 √3.

The side of the small equilateral triangle is (1/2)84 = 42.

The area of the small equilateral triangle is 1/2 × base × height

= 1/2 × 42 × 1/2 √3

= 21/2 √3.

Therefore the area of the large equilateral triangle is 84 × 21/2 √3.

This can also be calculated as 42 × 42 × √3/4.

The number of tiny triangles in the large equilateral triangle is the total area of the large triangle divided by the area of each small triangle.

Number of small triangles = (42 × 42 × √3/4)/(21/2 √3)

= 882.

An equilateral triangle with a side of 84 is made up of 882 tiny equilateral triangles.

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The given expression, \(d(n)d(n)d(n)\), represents the duration in seconds for Hailey to run her \(n^{th}\) lap. The specific values provided, 333, 777, 999, correspond to the durations of the 3rd, 7th, and 9th laps, respectively. The values 858585, 999999, and 110110110 are unrelated and do not provide any additional information about lap durations.

The expression \(d(n)d(n)d(n)\) suggests that each lap duration is represented by the function \(d(n)\), where \(n\) denotes the lap number. The specific values given (333, 777, 999) correspond to the 3rd, 7th, and 9th laps, respectively. However, the remaining values (858585, 999999, 110110110) do not appear to have a direct connection to the lap durations or the function \(d(n)\).

Without further information or a specific pattern, it is difficult to interpret the significance of the remaining values. It's important to note that more context or information about the pattern or relationship between the values would be necessary to provide a more detailed explanation or analysis.

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Answer:

D.

Step-by-step explanation:

(1/6)*60 = 10

(1/6)*450 = 75

Check your work

75/10 = 7.5

450/60 = 7.5

Correct!

Answer:

vvvvvv

Answer is D)

Answer:

Your answer (x+2)(x+8)