Doroteo determined that the correlation coefficient for a set of data was -.9 what percent of the total variation in the Y values is not explained by the regression line

Using appropriate software, we can sketch the polar curves r = cos^2(7.1θ) + cos²(θ), r = cos(θ)^3 + sin(1.5θ), and r ≤ cos(1/6θ). These curves are represented in the polar coordinate system, where the distance from the origin (r) is a function of the angle (θ).

The software can plot these curves by calculating and plotting multiple points on each curve, corresponding to different values of θ. The resulting graph will provide a visual representation of the curves in the polar coordinate plane.

To sketch the polar curves, we can use software such as a graphing calculator or a mathematical plotting tool. These tools allow us to input the equations of the curves and plot them accurately in the polar coordinate system.

(i) For the polar curve r = cos^2(7.1θ) + cos²(θ), the software can calculate the values of r for different angles θ and plot them. By varying θ from 0 to 2π, we can generate multiple points on the curve and connect them to form the shape of the curve.

(ii) Similarly, for the polar curve r = cos(θ)^3 + sin(1.5θ), the software can calculate the values of r for different angles θ and plot them. Again, by varying θ and generating multiple points, we can obtain the shape of the curve.

(iii) The inequality r ≤ cos(1/6θ) represents a region in the polar coordinate system. The software can plot points on or inside this region by calculating the values of r for various angles θ and checking if they satisfy the inequality. By plotting these points, we can visualize the region where r is less than or equal to the corresponding value of cos(1/6θ).

By using the software to plot these curves, we can obtain a clear visual representation of their shapes and characteristics in the polar coordinate plane.

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Answer:

93.3

Step-by-step explanation:

I got it right

Answer:

Maria sold 89 candy bars.

Answer: 2nd one down

Step-by-step explanation:

In situation a, the predictor variable is age, as it is being tested to see if it affects the outcome variable, which is the number of risky behaviors. So, age is the independent variable and the number of risky behaviors is the dependent variable.

In situation b, the predictor variable is the number of family members, as it is being tested to see if it affects the outcome variable, which is the level of education of children. So, the number of family members is the independent variable and the level of education of children is the dependent variable.

It is important to identify the predictor variable and the outcome variable in any study as this helps in understanding the relationship between the two variables and in interpreting the results accurately.

For situation A, the predictor variable is "age," and the outcome variable is "number of risky behaviors." As age increases, the study aims to see if the number of risky behaviors changes.

For situation B, the predictor variable is "number of family members," and the outcome variable is "level of education of children." The study examines whether the children's level of education changes based on the number of family members.

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Answer:

140,000

Step-by-step explanation:

We know that the number is 143,699.

We are asked to round to the nearest ten thousand, which is the number bolded:

143,699

This means we have to look at the number to the right of the 4, which is 3.  If this number is below "5", then we round down to get 140,000.  

If this number was (and it's NOT) above "5" or "5" itself, we would round up to 150,000.  

Since "3" is below "5", we would round down to 140,000.

Hope this helps! :)

The null hypothesis (H0) states that there is no significant difference or effect, while the alternative hypothesis (Ha) states that there is a significant difference or effect.

c. A study wants to show that the mean number of hours of sleep the average person gets each day is more than 7.

In hypothesis testing, the null hypothesis (H0) represents the claim of no significant difference or effect, while the alternative hypothesis (Ha) represents the claim of a significant difference or effect.

In this scenario, the null hypothesis states that the mean number of hours of sleep the average person gets each day is equal to 7, while the alternative hypothesis states that the mean is greater than 7.

To determine the correct answer, we need to consider which option aligns with the alternative hypothesis μ > 7. Option c, which states that the study aims to show that the mean number of hours of sleep is more than 7, is the correct choice.

By choosing this option, the study is attempting to provide evidence that the average person's sleep duration exceeds 7 hours. The alternative hypothesis suggests that there is a significant difference, indicating that the mean sleep duration is greater than the hypothesized value of 7.

It's important to note that this interpretation is based on the given null and alternative hypotheses provided in the question. In different contexts or with alternative hypotheses stating different relationships to the mean of 7, the correct answer might vary.

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Based on the price of hot dog buns decreasing, the impact on the market would be the equilibrium price of hot dogs decreases.

The equilibrium quantity of hot dogs decreases.

The supply curve shifts left. The demand curve shifts right.

When the price of a good like the hot dog duns decreases, supplier will have less incentive to keep making it and so will reduce the quantity supplied to the market. This would mean that the supply curve would shift left.

The demand curve on the other hand would shift right because more people would demand the cheaper hotdogs. The equilibrium price which had fallen would then have to rise.

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Answer:

Step-by-step explanation:

I = prt

I = 800 × 1.8% x 15

I = $216

Remember the percent sign for the rate or write it as a decimal (multiplier)! In this case the multiplier would be 0.018!

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Answer: -0.6

Step-by-step explanation:

Answer:

A linear graph with points (6/7, -3/7)

Step-by-step explanation:

Look at the two equations.

We find the value of X and Y because the graph must satisfy these points. See attachment for explanations.

Answer:

A

Step-by-step explanation:

The cοrrect answer tο this questiοn is x = 89°.Tο sοlve this questiοn, we must first calculate the sum οf the interiοr angles οf a clοsed figure, which is always equal tο 360°.

Interiοr angles are angles inside a clοsed shape such as a triangle, quadrilateral, pentagοn, hexagοn οr any οther pοlygοn. These angles are fοrmed by twο lines that intersect inside the shape.

Sum of Interior angle of polygons is given by:

(n − 2) × 180°

Here, n is number of sides = 6

So,

(6 − 2) × 180°

720°

That gives us

149° + 161° + 135° + 59° +127 + x = 720°

631 + x = 720°

x = 720° - 631

x = 89°

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Answer: A. (1,4) and (3,12)

Explanation: These ordered pair are the only ones which fit into the given equations when substituted.

(1,4)
4 = 4(1)

4 = 4

4 = 1^2+3

4 = 4

(3,12)

12 = 4(3)

12 = 12

12 = 3^2+3

12 = 12

Answer:

A. (1, 3) and (3, 12).

Step-by-step explanation:

y = 4x

y = x² +3

As y is common on left side:

x^2 + 3 = 4x

x^2 - 4x + 3 = 0

(x - 1)(x - 3) = 0

x  = 1, 3.

When x = 1, y = 4*1 = 4

and when x = 3 , y = 12.

The area of the triangle enclosed by 3 sides of a triangle is 6 cm²

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. To find a triangle's area, use the formula area = 1/2 * base * height.

Given here: The dimensions of a triangle as 6 cm and base 2 cm

We know the area of the triangle is equal to half of the base times height,  

A=1/2×6×2

  =6 cm²

Hence, The area of the triangle enclosed by 3 sides of a triangle is 6 cm²

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Therefore, the equation of the circle is (x - 3)^2 + (y - 5)^2 = 4.

The equation of a circle with center (a, b) and radius r is given by:

(x - a)^2 + (y - b)^2 = r^2

Substituting the given values, we get:

(x - 3)^2 + (y - 5)^2 = 2^2

Simplifying, we get:

(x - 3)^2 + (y - 5)^2 = 4

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When factoring a tricky trinomial with a leading coefficient greater than 1, and you have more than one pair of factors for a term, it is usually best to try the pair of factors that multiplies to give the constant term first.

This is because when factoring a trinomial with a leading coefficient greater than 1, the first term will always have fewer factors than the last term, and it can be easier to find the correct pair of factors for the constant term than for the first term.

If the correct pair of factors for the constant term is found first, it can be easier to use that information to deduce the correct pair of factors for the first term.

In addition, once you have found one pair of factors for the trinomial, you can use the factoring by grouping technique to factor the trinomial completely. This involves grouping the terms of the trinomial in pairs, factoring out the greatest common factor of each pair, and then factoring out the greatest common factor of the resulting expressions.

Overall, when factoring a tricky trinomial with a leading coefficient greater than 1, it can be helpful to start by trying the pair of factors that multiplies to give the constant term first, and then using the factoring by grouping technique to factor the trinomial completely.

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Answer:

Stocks = 4500

Bonds = 9500

Step-by-step explanation:

Given that:

Total interest earned = 1257

Interest rate of stock = 2.6% = 0.026

Interest rate on bond = 12% = 0.12

Total amount invested = 14000

Let amount invested in stock = x

Amount invested in bond = 14000 - x

Using the relation :

Principal * rate * time

Stocks :

x * 0.026 = 0.026x

Bonds:

(14000 - x) * 0.12 = 1680 - 0.12x

0.026x + 1680 - 0.12x = 1257

−0.094x = 1257 - 1680

-0.094x = - 423

x = 423 / 0.094

= 4500

14000 - x = 14000 - 4500 = 9500

Stocks = 4500

Bonds = 9500

Answer:

(3,5)

x=2 and y=5

There are two main subtypes of quantitative data, which are discrete data and continuous data. Each subtype has different techniques for analysis.

1. Discrete data: This type of data represents whole numbers or counts that can only take specific values. Examples include the number of students in a class or the number of cars in a parking lot. Techniques used to analyze discrete data include:
  a. Frequency distribution: A summary of the number of times each value appears in the dataset.

 b. Measures of central tendency: Calculating the mean, median, and mode of the dataset to understand its central point.

 c. Measures of dispersion: Assessing the range, variance, and standard deviation to understand the spread of the data.

2. Continuous data: This type of data represents measurements that can take any value within a range, such as height, weight, or temperature. Techniques used to analyze continuous data include:

 a. Histogram: A graphical representation of the distribution of the data, using bars to represent the frequency of values within specific intervals.

  b. Probability density function: A mathematical function that describes the probability of a continuous random variable falling within a specific range.

  c. Regression analysis: A statistical method for analyzing the relationship between a dependent variable and one or more independent variables.

Both discrete and continuous data can also be analyzed using inferential statistics, such as hypothesis testing and confidence intervals, to make inferences about a population based on a sample of the data.

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The probability of randomly selecting a number between 5 and 11 from the numbers 1-15 would be 1/3 or approximately 0.46.

The possible outcomes are calculated first. There are 15 possible outcomes in this situation because the numbers 1 through 15 can be chosen.

Count the number of favourable outcomes. There are seven favourable outcomes in this situation because the numbers 5 to 11 are selectable.

By dividing the number of favourable outcomes by the total number of possible possibilities, you may calculate the probability.

The probability in this situation is 7/15, or roughly 0.333 (1/3).Therefore, 7/15, or 0.333, represents the probability of choosing at random  number between 5 and 11 from the range of 1 to 15.

Number of events = 7

Total events = 15

Probability =  7/15

Probability = 0.46

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Answer:

42

Step-by-step explanation:

89-5=84

84÷2=42

and reverse it to check

(42+5)+(42)=89

Answer:

0.48

Step-by-step explanation:

Answer: -5, 1

Step-by-step explanation:

Over the past 10 years, you have paid off $1,80,000 - $1,12,681 = $67,319 of the original loan.

This amount represents the reduction in the loan balance over the years. It is essential to consider that your monthly payments were not entirely directed towards the loan principal; a portion went towards paying interest charges. As a result, the loan balance was gradually reduced over time.

The interest on the loan accumulated each month, which affected the allocation of your payments. Initially, a significant portion of your payments likely went towards interest, with a smaller fraction reducing the principal balance. However, as time progressed, the interest portion decreased, and more of your payments started chipping away at the loan's principal.

It is crucial to recognize the impact of interest on loans, especially over extended periods. The difference between the current value of your house and the remaining loan balance illustrates the progress you have made in building equity over the years. As you continue making payments, the loan balance will further diminish, and your equity will continue to grow.

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Answer:

1. 3.4

2. 23.4

3. 8

4. 14.25

5. 9.6

6. 6

7. 25

8. 28.8

9. 1.35

I hope this is the right answer key

Step-by-step explanation:

Answer:

4 less than twice a number.

Answer:

3

Step-by-step explanation:

It shows 4 less than 2 Xs

The correct option is  B) increase.

To decrease sample error, a pollster must increase the number of respondents. The larger the sample size, the more representative it is likely to be of the target population, leading to a lower margin of error.

When conducting surveys or polls, it is essential to obtain responses from a diverse and random group of individuals. By increasing the number of respondents, the pollster can capture a broader range of perspectives, which helps to reduce sampling bias and increase the accuracy of the results.

For example, let's say a pollster wants to understand the political preferences of voters in a particular city. If they only survey 50 people, the sample may not accurately reflect the larger population, and the margin of error could be high. However, if they survey 500 or even 1000 people, the results are more likely to provide a reliable estimate of the overall population's preferences.

Therefore, to decrease sample error, pollsters should increase the number of respondents in their surveys or polls. This approach helps to ensure a more accurate representation of the population's views and minimize the potential for misleading or biased results.

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Answer:

77

Step-by-step explanation:

75% of 44 = 33

33 + 44 = 77

Answer:

77.

Step-by-step explanation:

75% of 44

= 3/4 * 44

= 33

33+44

= 77.

Answer: To find the coordinates of D1.5(ABCD), we need to perform a dilation with center D and scale factor 1.5 on the coordinates of each point.

The coordinates of point D are (-5, -10). To dilate point A, we can subtract the coordinates of D from the coordinates of A, multiply by 1.5, and then add the coordinates of D back:

D1.5(A) = 1.5[(2, 0) - (-5, -10)] + (-5, -10) = 1.5(7, 10) + (-5, -10) = (6.5, 5)

Similarly, we can dilate points B and C:

D1.5(B) = 1.5[(8, -4) - (-5, -10)] + (-5, -10) = 1.5(13, 6) + (-5, -10) = (14.5, -4)

D1.5(C) = 1.5[(4, -6) - (-5, -10)] + (-5, -10) = 1.5(9, 4) + (-5, -10) = (7.5, 4)

Therefore, the coordinates of D1.5(ABCD) are A'(6.5, 5), B'(14.5, -4), C'(7.5, 4), and D(-5, -10).

Step-by-step explanation: