without the addition of fertiliser, the annual crop from a potato farm would only be 80% of the previous years crop. a farm produced 15 tonnes of potatoes in its first year of production. assume that no fertiliser is used. give answers correct to two decimal places where necessary. list the size of the potato crop for each of the first four years

The Law of Large Numbers is a fundamental concept in probability theory and statistics stating the number of trials of a random event increases, the average of the outcomes approaches the expected value of the event. It's better to use 500 trials.

In other words, as we repeat an experiment a large number of times, the proportion of times that a certain outcome occurs will converge to its probability of occurrence. This is an important concept in statistical inference, as it helps to ensure that the results of a sample are representative of the population from which it was drawn.

Now, if you were using the relative frequency of an event to estimate the probability of the event, it would be better to use 500 trials rather than 100 trials. The reason is that the larger the number of trials, the more accurate the estimate of the probability is likely to be.

Using a larger sample size reduces the impact of random variation and provides a more precise estimate of the true probability. The Law of Large Numbers tells us that as the sample size increases, the relative frequency of the event should converge to the true probability, so a larger sample size will generally give a more reliable estimate

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Answer:

the ratio is  1 ⅓ to 1;  and the unit rate is:  1 ⅓

hope it helps :)

A closed formula for the sequence is aₙ = (n - 1)(n), where n is the term number starting with a₁.

To find the first few terms of the sequence given by aₙ = n² - 3n + 1, we can substitute values of n into the formula:

For n = 1:

a₁ = (1)² - 3(1) + 1 = 1 - 3 + 1 = -1

For n = 2:

a₂ = (2)² - 3(2) + 1 = 4 - 6 + 1 = -1

For n = 3:

a₃ = (3)² - 3(3) + 1 = 9 - 9 + 1 = 1

For n = 4:

a₄ = (4)² - 3(4) + 1 = 16 - 12 + 1 = 5

For n = 5:

a₅ = (5)² - 3(5) + 1 = 25 - 15 + 1 = 11

Therefore, the first few terms of the sequence are: -1, -1, 1, 5, 11.

To find a closed formula for the sequence, we observe that the sequence appears to follow a quadratic pattern. By expanding the formula n² - 3n + 1, we can see that it can be written as:

aₙ = n² - 3n + 1 = (n - 1)² + (n - 1) = (n - 1)(n - 1 + 1) = (n - 1)(n)

So, a closed formula for the sequence is aₙ = (n - 1)(n), where n is the term number starting with a₁.

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Answer:

6.80 inch

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

10% = 80 ÷ 10 = 8

50% = 8 x 5 = 40

Hope this helps!

Answer:

40

Explanation:

50% = 80 ÷ 2 = 40

Hope this helps!

The value of x corresponds to option B: 10.5 as the figure provided has two congruent figures inside it.

From the given image, we can consider that that the two triangles- one for which side x is given, and another for which measurements of both sides are given- are congruent. This is because they both have one common side and one angle equal to another at a vertex (refer image).

Thus, we have:

(x / 19.3) = (3.9 / 7.2)

Then, attempting to find the value of x we have:

x = (3.9 / 7.2) × (19.3)

= 10.5

Therefore, option B gives the measure of the side x of the given triangle, where x = 10.5.

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Answer:

See below    ( MIGHT choose (-2,+2)  but it is incorrect)

Step-by-step explanation:

DOMAIN is the values of 'x' a function can have  

NONE of the answers are correct

  it should be   (-3,+3)   <=====not an option

Answer:

m = 80

Step-by-step explanation:

40 = \(\frac{m}{2}\) ( multiply both sides by 2 )

80 = m

Answer: B

Step-by-step explanation:

Use the Triangle Theorem.

Now, we have to find every number involved squared.

2² = 4

3.6² = 12.96

Add the given components.

12.96 + 4 = 16.96

Our final answer is 16.96

Best of Luck!

Answer:

TRUST ME ITS C

Step-by-step explanation:

use the theorem

2 squared is 4

3.6 squared is 12.96

you need to add them which is 16.96 and find its square root

Statistical power is defined as the probability of rejecting a null hypothesis that is false. It is also known as the probability of detecting a real difference between two groups. It is important to have a sufficient amount of statistical power to detect true effects.

Basically, the probability of obtaining a statistically significant outcome from an experiment or study is known as statistical power. The formula for calculating statistical power is:

Power = 1 - β

Where β is the probability of type II error, which is the likelihood of failing to reject the null hypothesis when it is actually false.

It is important to assume or know certain information in order to calculate power, such as the sample size, effect size, alpha level, and standard deviation

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Step-by-step explanation:

Notice that triangles AOB and BOC are both isosceles triangles, where AO = BO = CO = Radius of the circle.

Angle ABC = 180° - Angle ADC = 180° - 128° = 52° (Opposite angles in a cyclic quad = 180°)

We know that angle OBC = angle OCB = 30°, so

Angle OBA = 52° - 30° = 22°.

Hence, angle BOA = 180° - 2 * 22° = 136°.

The Answer is 95 miles using distance rule of maths.

What is distance in math?

As its name implies, any distance formula outputs the distance (the length of the line segment). In coordinate geometry, there is a number of formulas for finding distances, such as the separation between two points, the separation between two parallel lines, the separation between two parallel planes, etc.

So if we mark their position in x-y plane. one is not x line and another one is in y line.

So the coordinates of the points are (57,0) and (0,76)

The distance between them is √(y²+x²)

= √(57²+76²)

=√ (3249 + 5776)

= 95 miles

Hence the distance between them is 95 miles.

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Interactions involving dummy variables can provide insights into the different effects of independent variables across categories.

1. Dummy variables are binary variables that represent categorical variables in a regression analysis. When interactions are included between dummy variables and other independent variables, it allows for differential effects of the independent variables based on the different levels of the categorical variable.

For example, let's consider a regression model to predict income based on education level and gender. We can include an interaction term between education level (represented by dummy variables for different levels) and gender. This interaction term allows us to examine whether the effect of education level on income differs between males and females. It helps capture any gender-specific differences in the relationship between education and income.

1.2 The linear probability model (LPM) is a common approach to estimate the probability of an event occurring using a linear regression framework. However, it has several problems:

1. The predicted probabilities from the LPM can fall outside the [0, 1] range: Since the LPM does not impose any restrictions on the predicted probabilities, they can sometimes exceed the valid probability range. This violates the assumption of probabilities being bounded between 0 and 1.

2. Heteroscedasticity: The LPM assumes constant error variance across the range of the predictors. However, in practice, the variability of the error term may change with different levels of the predictors, resulting in heteroscedasticity. This violates the assumption of homoscedasticity.

3. Non-linearity: The LPM assumes a linear relationship between the predictors and the probability of the event. However, this may not always be the case, and using a linear model can result in misspecification.

To remedy these problems, an alternative to the LPM is to use logistic regression or probit regression models. These models explicitly model the probability of an event occurring and address the issues mentioned above. They provide predicted probabilities that fall within the valid range of 0 to 1, account for heteroscedasticity, and allow for non-linear relationships between the predictors and the probability of the event.

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Answer:

Most of the adenosine triphosphate (ATP) synthesized during glucose metabolism is produced in the mitochondria through oxidative phosphorylation.

LOVE YOUR profile

Answer:

1/7

Step-by-step explanation:

6 + 5 + 4 = 15

There are 15 marbles to start with.

p(event) = (number of desired outcomes)/(total number of outcomes)

First pick (there are 6 desired outcomes out of a total of 15 possible outcomes):

p(r) = 6/15

Now there are 5 red marbles left and a total of 14 marbles left.

Second pick (there are 5 desired outcomes out of a total of 14 possible outcomes):

p(r) = 5/14

These events are independent, so we multiply the two probabilities.

p(r, r) = 6/15 × 5/14

p(r, r) = 3/7 × 1/3

p(r, r) = 1/7

Answer:

Yes, it is true by AAS theorem.

The triangles ΔMNP and ΔQRS are congruent triangles

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be ΔMNP

Now , let the second triangle be ΔQRS

where the measure of angle ∠MNP = measure of angle ∠QRS = 90°

And , the measure of side NP = measure of side RS

And , the measure of ∠NPM = measure of angle ∠RSQ

So , two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Hence , the triangles are congruent by ASA theorem

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Answer:

C

Step-by-step explanation:

I think the answer is C I’m assuming

Answer:

Sorry I can't help with2.08

Hope the remaining helped

PLS mark BRAINLIEST

Answer:

-19-28i

Step-by-step explanation:

Answer:

-19-28i

Step-by-step explanation:

To conduct a regression analysis for the variable sale price using living area, you would need a dataset that includes both sale price and living area values for a set of houses. With this data, you can perform a simple linear regression analysis to determine the relationship between these variables.

Here are the regular steps for conducting a regression analysis:

1. Data Collection: Collect the data for sale price and living area for each house in your dataset.

2. Data Exploration: Before performing the regression analysis, it's important to explore and understand your data. This includes checking for missing values, outliers, and assessing the distribution of your variables.

3. Scatterplot: Create a scatterplot with living area on the x-axis and sale price on the y-axis. This will help you visualize the relationship between the two variables.

4. Model Fit: Fit a linear regression model to your data. This involves finding the line of best fit that minimizes the distance between the observed sale prices and the predicted sale prices based on the living area.

5. Coefficients: Once the model is fitted, you can obtain the regression coefficients. In this case, you would get the coefficient for living area, which represents the change in sale price for each unit increase in living area.

6. Interpretation: Interpret the coefficient for living area. If the coefficient is positive, it suggests that there is a positive relationship between living area and sale price. A larger living area would correspond to a higher sale price, and vice versa.

7. Model Evaluation: Assess the goodness of fit of the model by examining the R-squared value. This value indicates the proportion of the variation in sale price that can be explained by the variation in living area. A higher R-squared value suggests a better fit.

8. Statistical Significance: Check the p-value associated with the coefficient for living area. A p-value less than the chosen significance level (e.g., 0.05) indicates that the relationship between living area and sale price is statistically significant.

Based on your question, if the regression analysis shows a positive coefficient for living area, it would imply that larger houses tend to have higher sale prices. However, it is important to note that correlation does not imply causation. Other factors could also influence the sale price, such as location, amenities, and condition of the house.

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The area of the considered triangle RST is given by: Option A: 9 sq. units.

If we have:

Then we get:

Area of a triangle = \(\dfrac{b \times h}{2} \: \rm unit^2\)

The missing image is attached below.

If we take the base of the triangle as RS, then as the line UT is perpendicular to RS (as RS is parallel to x axis and UT is parallel to y axis) and touching from the base line RS to T, thus, it can be taken as height.

Thus, we have:

Area of RST = half of length of RS (base) times length of UT (height)

As visible from image, we have:

Length of RS = 6 blocks of unit length = 6 units

Similarly, length of UT = 3 units

Thus, we get:

Area of RST = \(\dfrac{6 \times 3}{2} = 9 \: \rm unit^2\)

Thus, the area of the considered triangle RST is given by: Option A: 9 sq. units.

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On solving the provided question we can say that on permutation choose which two of the six positions contain the two digits = 685464000

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order.

Assuming we regard upper and lower case letters as different, there are  52^4 ways = 7311616 ways

sequences of four letters and 100 sequences of two digits

there are 15 ways choose which two of the six positions contain the two digits = 685464000

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Answer:

TO find the answer, first you have to find the formula for volume of a cone-

The formula is

V= 1/3 times base times height

So V= (1/3) (pi3^2) (12)

V= 113.04

By the way for the base you have to find the volume of a circle. I divided the diameter by 2 to find the radius.

and pi is 3.14

In this case, the integral evaluates to 243/5.

The exact value of the definite integral ∫(3x⁴)dx can be found using the definition of the definite integral or Theorem 4. Both methods involve finding an expression that simplifies to the exact value of the integral. In this case, the integral evaluates to 243/5.

The definite integral of ∫(3x⁴)dx can be found by using the definition of the definite integral or Theorem 4. Using the definition, we can write the integral as the limit of a sum: ∫(3x⁴)dx = lim n→∞ [3(x1⁴)Δx + 3(x2⁴)Δx + ... + 3(xn⁴)Δx], where Δx = (b-a)/n and xi = a + iΔx for i = 0, 1, ..., n. By simplifying this expression and taking the limit as n approaches infinity, we can find the exact value of the definite integral. Alternatively, Theorem 4 states that if f(x) is continuous on [a, b], then ∫(f(x))dx = [F(x)]bᵃ, where F(x) is any antiderivative of f(x). Applying this theorem, we can find an antiderivative of 3x^4, which is (3/5)x⁵, and evaluate it at the limits of integration: ∫(3x⁴)dx = [(3/5)x⁵]3⁰ = 243/5.

The exact value of the definite integral ∫(3x⁴)dx can be found using the definition of the definite integral or Theorem 4. Using the definition, we can write the integral as the limit of a sum and simplify the expression to find the exact value. Alternatively, Theorem 4 states that if f(x) is continuous on [a, b], then ∫(f(x))dx = [F(x)]bᵃ, where F(x) is any antiderivative of f(x). By finding an antiderivative of 3x⁴)and evaluating it at the limits of integration, we can obtain the exact value of the integral. In this case, the integral evaluates to 243/5.

The exact value of the definite integral ∫(3x⁴)dx can be found using the definition of the definite integral or Theorem 4. Both methods involve finding an expression that simplifies to the exact value of the integral. In this case, the integral evaluates to 243/5.

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Answer:

its the first, 3rd, and 5th option

Step-by-step explanation:

Answer:

The equation represents a linear function because the equation has two variables, x and y.

Step-by-step explanation:

if im wrong let me know mark brainlist plz

Answer:

the answer is c

Step-by-step explanation:

Answer

the first option

Step-by-step explanation:

Answer:

1. 500

2. 2,286

Step-by-step explanation:

1. $250 divide by 0.5

2. 762 times by 3

At equilibrium, x = 260 and p = 112. The consumers' surplus at equilibrium is 133.6. The producers' surplus at equilibrium is 68.8.

x = 260

p = 11.2

Consumers' surplus = (39-11.2)x/2 = 133.6

Producers' surplus = (11.2-13)x/2 = 68.8

At equilibrium, the price-demand and price-supply equations intersect and determine the optimal level of production, known as x. In this case, the equilibrium value of x is 42 units and the price at which the goods are traded is 26 dollars.

The consumers’ surplus is the difference between the maximum price that a consumer would be willing to pay for a good and the prevailing market price. In this case, the maximum willingness to pay is 39 dollars and the market price is 26 dollars, thus the consumers’ surplus at equilibrium is 13 dollars. Similarly, the producers’ surplus is the difference between the prevailing market price and the minimum price that suppliers would be willing to accept for a good.

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Answer: 0.2

Step-by-step explanation: thats what i got by calculating it

Answer:

decimal form= 0.2

Step-by-step explanation:

round to nearest tenth = 0.

hope this helps.