A farmer sells 9.2 kilograms of pears and apples at the farmer's market.
3/4
of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Express your answer in fraction and decimal form.

No, the presence of an effect does not necessarily imply that error variance will go away.

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

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Answer:

is a Step-by-step explanation:

combination

A selection in which order has no importance.A mathematical symbol, or combination of symbols, representing a value, or relation. Example:

2

+

2

=

4

.equation

A mathematical statement that says two expressions have the same value; any number sentence with an

=

.

ordered pair

Set of two numbers in which the order has an agreed-upon meaning, such as the Cartesian coordinates

(

x

,

y

)

, where the first coordinate represents the horizontal position, and the second coordinate represents the vertical position.

solution

1. The value of a variable that makes an equation true.

2. In chemistry, a solution is a homogeneous mixture composed of only one phase.

Answer:

D = {1, 4, 6, 8, 9}

Step-by-step explanation:

A relationship maps elements from a set (the domain, the set of the inputs) into elements from another set (the range, set of the outputs).

Such that the usual notation is: (x, y)

this says that the relationship maps the element x into the element y.

In this case, we have the relation:

" { (9,1), (4,5), (6,2), (8,6), (1,2)}"

The inputs are the first value for each pair, then the set of the inputs (also called the domain) is:

D = {9, 4, 6, 8, 1}

And we can rewrite this in order to get:

D = {1, 4, 6, 8, 9}

​

Answer:

1/20

Step-by-step explanation:

This is conditional probability there the number of possible outcomes reduces everytime a card is drawn

Therefore probability= 1/6×3/5×2/4=1/20

The range of numbers in the data series that controls the minimum, maximum, and incremental values on the value axis is referred to as the "axis scale" or "axis range."

It determines the span of values displayed on the value axis of a graph or chart. The axis scale is typically set based on the minimum and maximum values present in the data series, and the incremental values (tick marks) are placed at regular intervals within that range.

It represents the span of values that will be displayed on the value axis of a graph or chart. The data range determines the scale and divisions of the axis, allowing the viewer to interpret the data accurately and understand the relative magnitude of the values being presented.

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Answer:

69.08 ⇒ nearest tenth

To round 69.08 to the nearest tenth, 0 is in the tenths place and 8 is in the hundredths place.  Since the digit in the hundredths place (8) is greater than  5, add 1 to the digit in the tenths place (0).

1 + 0 = 1, so the digit in the tenths place becomes 1  & the digit in the hundredths place is dropped.

∴ 69.08 ≈ 69.1 (corrected to the nearest tenth)

43.96 ⇒ nearest tenth

To round 43.96 to the nearest tenth, 9 is in the tenths place and 6 is in the hundredths place.  Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (9), add 1 to the digit in the tenths place (9). This will also add 1 to the whole number part and make the fractional part 0.

1 + 9 = 10

∴ 43.96 ≈ 44 (corrected to the nearest tenth)

39.564 ⇒ nearest tenth

To round 39.564 to the nearest tenth, 5 is in the tenths place and 6 is in the hundredths place.  Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (5), add 1 to the digit in the tenths place (5).

1 + 5 = 6, so the digit in the tenths place becomes 6 & the digit in the hundredths and thousandths place is dropped.

∴ 39.564 ≈ 39.6 (corrected to the nearest tenth)

Rounding to the nearest tenth are:

Rounding to the nearest tenth means finding the nearest multiple of 0.1 or one decimal place.

To do this, examine the digit in the hundredth place and decide whether to round up or down based on that digit.

For 69.08, the digit in the hundredth place is 0.

Since 0 is less than 5 then round down, which means the digit in the tenths place remains the same.

Thus, 69.08 rounded to the nearest tenth is 69.1.

For 43.96, the digit in the hundredth place is 9.

Since 9 is greater than or equal to 5, increasing the digit in the tenths place by 1.

Therefore, 43.96 rounded to the nearest tenth is 44.0.

For 39.564, the digit in the hundredth place is 5.

Since 5 is exactly halfway between 0 and 10, round to the nearest even number.

Thus, 39.564 rounded to the nearest tenth is 39.6.

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The probability of waiting exactly 5 minutes for the next bus, given a uniform distribution with a range of 0 to 15 minutes, is 1/15 that is option C.

Since the arrival time of the next bus is uniformly distributed between 0 and 15 minutes, we can find the probability of waiting exactly 5 minutes for the next bus by calculating the probability density function (PDF) at that specific point.

In a uniform distribution, the probability density function is constant within the range of possible values. In this case, the range is from 0 to 15 minutes, and the PDF is given by:

f(x) = 1 / (d - c)

where c is the lower bound (0 minutes) and d is the upper bound (15 minutes).

Substituting the values, we have:

f(x) = 1 / (15 - 0) = 1/15

Therefore, the probability of waiting exactly 5 minutes for the next bus is equal to the value of the PDF at x = 5, which is:

P(X = 5) = f(5) = 1/15

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does it give the answer choice or is it a blank space?

The unit cost of pears is $1.50 per pound.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Cost for 1/3 lb of pears = $0.50

Since, 1 lb = 1 pound

Implies that,

Cost of 1/3 pounds of pears = $0.50

To find the cost of one pound of pears,

Use ratio property,

1/3 pound costs = 0.50

1 pound costs = 0.50 x 3 = $1.50

The cost of one pound of pear is $1,.50.

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Answer:

C. 3(2x + 5y) is the algebraic expression equivalent to the expression

Step-by-step explanation:

From the question, the given expression is 6x + 15y.

Factorizing this expression gives 3(2x + 5y). Hence, the algebraic expression equivalent to the expression 6x + 15y is 3(2x + 5y). (Option C).

Checking the remaining options

A. 3(2x - 5y)

Expanding this gives 6x - 15y. It is not equivalent to the given expression

B. 3(5x - 2y)

Expanding this gives 15x - 6y. It is not equivalent to the given expression

D. 3(5x + 2y)

Expanding this gives 15x + 3y. It is not equivalent to the given expression.

Hence, C. 3(2x + 5y) is the algebraic expression equivalent to the expression.

In order to perform a one-way ANOVA (Analysis of Variance), the correct answer is option A: The variances of each of the k populations must be the same.

One-way ANOVA is a statistical test used to compare means between two or more groups. It assumes that the variances of the populations being compared are equal. This assumption is known as the assumption of homogeneity of variances.

Option A is correct because in order to perform a one-way ANOVA, it is necessary to assume that the variances of each of the k populations (where k represents the number of groups being compared) are equal. This assumption allows for a valid comparison of means across the groups.

If the variances of the populations are different (option B), the assumption of homogeneity of variances is violated, and it may be necessary to use alternative statistical tests or adjustments to account for the unequal variances, such as Welch's ANOVA or a nonparametric test.

Option C is incorrect because the values of the variances do matter in performing a one-way ANOVA. It is not just about the equality or inequality of variances but specifically the assumption of equal variances for accurate interpretation of the results and valid conclusions from the analysis.

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Answer:

261 ft²

Explanation:

This entire shape can be divided into one square and four triangles.

Area of square:

Side² = 9² = 81 ft²

Area of four triangles:

4 × 1/2 × base × height

2 × 9 × 10

180 ft²

Total Area:

180 + 81 = 261 ft²

The risk of owning a home in Randolph County based on the given sample can be calculated as:

Risk of owning a home = Number of residents who own a home / Total number of residents in the sample

Risk of owning a home = 59 / 90

Therefore, the risk of owning a home in Randolph County based on the given sample is approximately 0.656 or 65.6%.

Answer:

The location would be between 4 and 5.

Step-by-step explanation:

The square root of 19 would be around 4.3. So you would put a mark between the two lines that are in between the 4 and 5.

The regression model (A) underestimates the data based on it since the residual is positive.

When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method.

Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables.

The statistical link between a dependent variable and one or more independent variables can be ascertained using regression.

The independent variable's change is connected to the independent variable's change.

Two major sorts can be broadly distinguished from this. A linear regression. Regression using logit.

A roadrunner's total length and tail length in the given situation is 59.0 cm and 31.1 cm, respectively.

Because the residual is positive, the regression model underestimates the data based on it.

Therefore, the regression model (A) underestimates the data based on it since the residual is positive.

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Correct question
A roadrunner is a desert bird that tends to run instead of fly. While running, the roadrunner uses its tail as a balance. A sample of 10 roadrunners was taken, and the birds’ total length, in centimeters (cm), and tail length, in cm, were recorded. The output shown in the table is from a least-squares regression to predict tail length given total length. Suppose a roadrunner has a total length of 59.0 cm and tail length of 31.1 cm. Based on the residual, does the regression model overestimate or underestimate the tail length of the roadrunner?

a. Underestimate, because the residual is positive.

b. Underestimate, because the residual is negative.

c. Overestimate, because the residual is positive.

d. Overestimate, because the residual is negative.

e. Neither, because the residual is 0.

1967.64 is the value of the given expression.

We must carry out the division operation in the following manner in order to assess the expression:

26,091 ÷ 13.26

= 1967.64

As a result, the expression has a value of 1967.64.

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ANSWER :

A. The area of Circle K is about 500 cm^2 greater than the area of Circle J.

EXPLANATION :

Recall the area formula of a circle :

Note that the radius is half of diameter.

The diameter of Circle J is 18 cm so the radius is 18/2 = 9 cm

The diameter of Circle K is 31 cm so the radius is 31/2 = 15.5 cm

The areas are :

The area of Circle K is greater than Circle J by 754.385 - 254.34 = 500.045 cm^2 or 500 cm^2

9514 1404 393

Answer:

Step-by-step explanation:

In order to solve this, we need to assume that the angles involving x are supplementary, and the angles involving y are complementary.

  (7x -8) +(13x -32) = 180

  20x -40 = 180 . . . . . . . . . collect terms

  20x = 220 . . . . . . . . . add 40

  x = 11 . . . . . . . . . . divide by 20

__

  (10y +22) +(7y) = 90

  17y = 68 . . . . . . . . . . . . collect terms, subtract 22

  y = 4 . . . . . . . . . . divide by 17

The value of x using similar triangles theorem is = 13/3.

Triangles that resemble one another but may not be exactly the same size are said to be comparable triangles.

When two objects have the same shape but different sizes, they can be said to be comparable.

This indicates that comparable shapes superimpose one another when amplified or de-magnified.

The term "Similarity" refers to this characteristic of like shapes.

Now in the given figure,

the proportion of the triangles' side is same.

So, 12/4 = 13/x

x = 13/3

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The probability that a point chosen at random on the segment satisfies the inequality x≤5 is 0.5.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. It is used in various fields, including mathematics, statistics, physics, and finance, among others.

Here,

The segment has a length of 8 units and starts at x = 1 and ends at x = 9. The portion of the segment where x ≤ 5 has a length of 4 units. Thus, the probability that a point chosen at random on the segment satisfies the inequality x ≤ 5 is:

Probability = Length of portion where x ≤ 5 / Total length of the segment

Probability = 4 / 8

Probability = 0.5 or 50%

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Complete question:

Find the probability that a point chosen at random on the segment satisfies the inequality: x≤5.

The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

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The result of subtracting 2.14×10^4 from 4.659×10^4 is 2.519×10^4, rounded appropriately.

To compute 4.659×10^4 - 2.14×10^4, we can subtract the two numbers as follows:

4.659×10^4

2.14×10^4

To subtract these numbers, we need to ensure that the exponents are the same. In this case, both numbers have the same exponent of 10^4.

Next, we subtract the coefficients:

4.659 - 2.14 = 2.519

Finally, we keep the exponent of 10^4:

2.519×10^4

Rounding the answer appropriately means rounding the coefficient to the appropriate number of significant figures. Since both numbers provided have four significant figures, we round the result to four significant figures as well.

The fourth significant figure in 2.519 is 9. To determine the appropriate rounding, we look at the next digit after the fourth significant figure, which is 1. Since it is less than 5, we round down the fourth significant figure to 9.

Therefore, the final result, rounded appropriately, is:

2.519×10^4

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LCL and UCL values of both scenarios are (158.61,161.39),(69.65,70.35) respectively.

To calculate the lower confidence limit (LCL) and upper confidence limit (UCL) for each given scenario, you'll need to use the following formula:

LCL = X - (z * (sigma / √n))
UCL = X+ (z * (sigma / √n))

where X is the sample mean, n is the sample size, sigma is the population standard deviation, and z is the z-score corresponding to the desired confidence level (1 - alpha).

First Scenario:
X = 160, n = 436, sigma = 30, alpha = 0.01

1. Find the z-score for the given alpha (0.01).
For a two-tailed test, look up the z-score for 1 - (alpha / 2) = 1 - 0.005 = 0.995.
The corresponding z-score is 2.576.

2. Calculate LCL and UCL.
LCL = 160 - (2.576 * (30 / √436)) ≈ 158.61
UCL = 160 + (2.576 * (30 / √436)) ≈ 161.39

First Scenario Result:
LCL = 158.61
UCL = 161.39

Second Scenario:
X= 70, n = 323, sigma = 4, alpha = 0.05

1. Find the z-score for the given alpha (0.05).
For a two-tailed test, look up the z-score for 1 - (alpha / 2) = 1 - 0.025 = 0.975.
The corresponding z-score is 1.96.

2. Calculate LCL and UCL.
LCL = 70 - (1.96 * (4 / √323)) ≈ 69.65
UCL = 70 + (1.96 * (4 / √323)) ≈ 70.35

Second Scenario Result:
LCL = 69.65
UCL = 70.35

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When converted from active voice to passive voice, the sentences read as follows:

Active Voice refers to a sentence construction where the subject is performing the action described by the verb. It emphasizes the doer of the action.

On the other hand, Passive Voice refers to a sentence construction where the action is performed on the subject, rather than the subject performing the action. It emphasizes the action or the object affected by the action.

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the function f(x) is:

f(x) = x ln(2x^4) and lim n→∞ n xi ln(2xi^4) δx = (1/8) [2 ln(2) - 1].

To find f(x), we need to take the limit of the sum as n approaches infinity:

lim n→∞ ∑i=1n xi ln(2xi^4) δx

Since δx = (b-a)/n, we have:

δx = (b-a)/n = (1-0)/n = 1/n

Substituting this value into the sum and simplifying, we get:

lim n→∞ ∑i=1n xi ln(2xi^4) δx

= lim n→∞ ∑i=1n xi ln(2xi^4) (1/n)

= lim n→∞ (1/n) ∑i=1n xi ln(2xi^4)

This looks like a Riemann sum for the function f(x) = x ln(2x^4). So we can write:

lim n→∞ (1/n) ∑i=1n xi ln(2xi^4) = ∫0^1 x ln(2x^4) dx

Now we need to evaluate this integral. We can use integration by substitution, with u = 2x^4 and du/dx = 8x^3:

∫0^1 x ln(2x^4) dx = (1/8) ∫0^1 ln(u) du

= (1/8) [u ln(u) - u] from u=2x^4 to u=2(1)^4

= (1/8) [2 ln(2) - 1]

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Answer:

6.28

Step-by-step explanation:

Find the diameter by multiplying the radius by 2, then multiply the diameter by Pi, which in your case is 3.14

R times 2= diameter

D time Pi= area

Area = 6.28

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Answer:

\(\frac{1}{6}\)

Step-by-step explanation:

1. You need the same denominator to subtract

2. You can do this by picking the least common multiple of both denominators or multiplying the denominators by each other. In this case, the LCM (least common multiple) and multiply 4*3 or 3*4 is the same thing: 12.

3. But, what you do to the denominator, you do to the numerator:

\(\frac{2*4=8}{3*4=12} \\\\\frac{2*3=6}{4*3=12}\)      This leaves the fractions as \(\frac{8}{12} -\frac{6}{12} =\frac{2}{12}\).

4. When you subtract fractions, you don't subtract the denominator.

5. You can simplify this fraction by dividing the numerator and denominator by 6: \(\frac{2/2}{12/2} =\frac{1}{6}\)

Answer: A.

Step-by-step explanation:

Answer:

figure is missing mate