Amanda buys 2 1/2 pounds of lemons. The Lemons were $2.00 per pound. How much did Amanda spend on lemons (give an explanation on what you did and how your approach was accurate)

covariance is a measurement of correlation. Scaled covariance is what is referred to as correlation.

What is the connection between correlation and covariance?

Simply said, covariance is a measurement of correlation. Scaled covariance is what is referred to as correlation.

                         The linear relationship between variables is indicated by covariance, which also specifies its direction.

                          On the other hand, correlation quantifies the magnitude and direction of the linear relationship between two variables.

Formula of covariance

The covariance of x and y is 15.4. The correlation coefficient can be calculated as follows: r=Cov(x,y)/(σx∗σy) r = C o v ( x , y ) / ( σ x ∗ σ y )

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The total number of pages that he read will be 210 pages.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Based on the equation given, the equation to represent Amir's information will be:

y = 35 × x

y = 35x

Jesse's equation will be:

y = 30(x + 1)

Then, we'll equate both equations together. This will be:

35x = 30(x + 1)

35x = 30x + 30

35x - 30x = 30

5x = 30

x = 30/5

x = 6

Therefore, the number of pages read will be:

y = 35x

y = 35 × 6

y = 210 pages.

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Answer:

Awesome I actually remember this haha

Step-by-step explanation:

So first, find -2 and go down to it and put a dot. Then I would go up 7 and over 2 to the left and put a dot. On number 2, I would go up 3 (because it's a positive) and then put a dot. And for -6x, make it into slope intercept form, or -6 over 1x. So it should look like this; -6/1x. Then I would go down -6 from the dot where you marked 3 at, and over to the right 1 because you already used your negative on the 6. And I always drew arrows, to make sure they wee straight lines. I really hope this helps and is right! Good luck!

Check the template in the picture below.

\(f(x)=-4x+7\hspace{5em} \begin{array}{ccccccccllllllll} &A&B&&C&D \\ f(x)=&-4(&1&x&+0)&+7\\ shifted&&-1&&&+4\\ &-4(&-1&x&+0)&+11 \end{array}\\\\ ~\hspace{17em}-4(-x)+11\\\\ ~\hspace{14em}f(x) = 4x+11\)

notice, for the reflection across the y-axis we simply make B negative, and for the shift we simply add 4 to D.

The lengths of all four sides of parallelogram ABCD are AB = 10 cm, BC = 33 cm, CD = 10 cm, and AD = 33 cm.

Let AB = x, then AD = 2x + 13 (since AD is 13 cm more than twice AB).

The perimeter of parallelogram ABCD is 2(AB + AD) = 2(x + 2x + 13) = 6x + 26.

Given that the perimeter of ABCD is 86 cm, we can set up an equation:

6x + 26 = 86

Solving for x, we get x = 10.

So AB = x = 10 cm, and AD = 2x + 13 = 33 cm.

Since opposite sides of a parallelogram are equal in length, we have BC = AD = 33 cm and DC = AB = 10 cm.

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Answer:

It would be the first choice, A'B'C'D' with points (-4, 4); (12, 4); (12, -4); and (-4, -4)

Step-by-step explanation:

Answer:

You have to simplify this-

Step-by-step explanation:

From figure A to figure B, the scale factors are 1/8 and 1/2. To scale shapes in various dimensions, utilize the scale factor.

A polygon is a closed object in a two-dimensional plane comprised of line segments rather than curves. The word "polygon" is a combination of the words "poly" (which meaning many) and "gon" (means sides). A closed figure must include a minimum of three line segments that connect end to end. A polygon is any three or more-sided closed two-dimensional shape. In addition to more complex designs like a dodecagon with twelve sides, polygons include triangles and squares. Polygons include shapes like quadrilaterals, triangles, hexagons, and pentagons. The number of sides the form has is indicated by the name.

given

the scale factor of figure A to figure B

=  smaller dimension / larger dimension

= 2/16

= 1/8

and 4/8

= 1/2

From figure A to figure B, the scale factors are 1/8 and 1/2. To scale shapes in various dimensions, utilize the scale factor.

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It is not reasonable to use a normal model for the sampling distribution of the sample because the data doesn't meet the success or failure consideration.

The sample has a size of 50 students. The probability that she guesses that about 10% of the class goes is 10%

This will be illustrated as:

1 - p = 1 - 10% = 1 - 0.10 = 0.90

np = 50 × 0.1 = 5. This implies the number of successes.

In this case, the number of successes is less than 10. This is because 5 is less than 10. Therefore, the data doesn't meet the condition.

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The correct answer is C. The set is not a subspace of P4. To determine if a set is a subspace, it must satisfy three conditions:

The set contains the zero vector of P4.

The set is closed under vector addition.

The set is closed under multiplication by scalars.

In the given set, all polynomials have the form p(t) = at, where a is in R (the set of real numbers).

However, the set fails to satisfy the third condition. It is not closed under multiplication by scalars when the scalar is not an integer. In this case, scalars can be any real number, not just integers.

Since the set does not meet all the conditions for being a subspace, it is not a subspace of P4.

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Debbie can buy a maximum of 4 t-shirts with the remaining $38 after purchasing the $22 jeans.

To determine the greatest number of t-shirts Debbie can buy, we need to find out how much money she will have left after purchasing the pair of jeans. Debbie has $60 to spend and the jeans cost $22. Therefore, she will have $60 - $22 = $38 left to spend on t-shirts.

Each t-shirt costs $8, so we divide the remaining amount by the cost per t-shirt: $38 / $8 = 4.75.

Since Debbie cannot buy a fraction of a t-shirt, we round down the decimal value to the nearest whole number. Therefore, Debbie can buy a maximum of 4 t-shirts with the remaining $38.

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Answer:

We get the final answer of -4x + 6

Step-by-step explanation:

Let's simplify step-by-step.

2x −3(2x−2)

Distribute:

= 2x+ (−3)(2x) + (−3)(−2)

= 2x+ −6x + 6

Combine Like Terms:

= 2x + −6x + 6

= (2x + −6x) + (6)

= -4x + 6

The correct order is to first calculate the actual distance, then determine the number of standard errors, and finally assess the percentage probability or p-value.

The correct order with regard to a claim about a population mean is d. actual distance, number of standard errors, percentage probability.

The first step in assessing a claim about a population mean is to determine the actual distance between the sample mean and the claimed population mean. This involves calculating the difference between the sample mean and the claimed population mean.

The second step is to determine the number of standard errors. This is done by dividing the actual distance by the standard error, which measures the variability of the sample mean.

Finally, the percentage probability is assessed. This involves determining the probability of obtaining a sample mean as extreme as or more extreme than the observed sample mean, assuming the null hypothesis is true. This probability is often referred to as the p-value.

In summary, the correct order is to first calculate the actual distance, then determine the number of standard errors, and finally assess the percentage probability or p-value.

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Answer:

parallel

Step-by-step explanation:

Answer:

The lines are perpendicular

Step-by-step explanation:

Y=1/3x+4

Y=-3x+2

The negative reciprocal of -3 is 1/3

Answer:

Step-by-step explanation: It is isosceles because the two tick marks on two of the sides show that they are the same length. A single tick is missing from the bottom so it is a different length. The two triangle are vertical, making them congruent so two of the sides on the big triangle are also the same.  

The required experimental probability that the next batter will get a hit is 2/11.

A number that indicates how likely an event is to occur is called its probability. It is communicated as a number in the reach from 0 and 1, or, utilizing rate documentation, in the reach from 0% to 100 percent. The higher the probability, the more likely the event is to occur.

The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials or events.

In this case, we are given that 4 out of 22 batters have gotten a hit so far. Therefore, the experimental probability that the next batter will get a hit is:

P(hit) = Number of hits / Total number of batters

P(hit) = 4/22

Simplifying:

P(hit) = 2/11

Therefore, the experimental probability that the next batter will get a hit is 2/11.

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it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

What is Integers?

A whole number is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+, and √2 are not. The set of integers consists of zero, positive natural numbers, also called integers or counting numbers, and their additive inverses.

To prove that there are no integers x, y, z such that x² + y² = 8z + 3, we can use the concept of modulo arithmetic.

First, let's consider the possible values of x² and y² modulo 8:

For any integer n, n² modulo 8 can only be 0, 1, or 4.

Now, let's examine the possible values of 8z + 3 modulo 8:

8z modulo 8 is always 0.

3 modulo 8 is equal to 3.

Therefore, the possible values of x² + y² modulo 8 can only be 0, 1, or 4, while 8z + 3 modulo 8 is equal to 3. Since 0, 1, and 4 are not equal to 3 modulo 8, there are no integers x, y, z that satisfy the equation x² + y² = 8z + 3.

Hence, it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

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The shortest distance from the point (1,2) to the line x+2y=2 is 1 / sqrt(5), which is approximately 0.447.

The shortest distance from a point to a line can be found by using the formula for the perpendicular distance between a point and a line. In this case, the given point is (1,2) and the line is x+2y=2.

To find the shortest distance, we can follow these steps:

Write the equation of the given line in slope-intercept form (y = mx + b):

x + 2y = 2

2y = -x + 2

y = (-1/2)x + 1

Identify the slope of the line, which is -1/2. The perpendicular line will have a slope that is the negative reciprocal of -1/2, which is 2.

Use the formula for the perpendicular distance between a point (x1, y1) and a line y = mx + b:

Distance = |2x1 - y1 + b| / sqrt(1² + m²)

Substitute the coordinates of the point (1,2) and the slope of the perpendicular line (m = 2) into the formula:

Distance = |2(1) - 2 + 1| / √(1² + 2²)

= |2 - 2 + 1| / √(1 + 4)

= |1| / √(5)

= 1 / sqrt(5)

Therefore, the shortest distance from the point (1,2) to the line x+2y=2 is 1 / sqrt(5), which is approximately 0.447.

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A food that contains 20 grams of carbohydrates, 8 grams of protein, and 5 grams of fat provides approximately 157 calories.

To calculate the total calories provided by the food, we need to determine the calories contributed by each macronutrient and sum them up. Carbohydrates and proteins provide 4 calories per gram, while fat provides 9 calories per gram.

For carbohydrates: 20 grams * 4 calories/gram = 80 calories

For protein: 8 grams * 4 calories/gram = 32 calories

For fat: 5 grams * 9 calories/gram = 45 calories

Adding up the calories from each macronutrient, we have:

80 calories (carbohydrates) + 32 calories (protein) + 45 calories (fat) = 157 calories.

Therefore, a food containing 20 grams of carbohydrates, 8 grams of protein, and 5 grams of fat provides approximately 157 calories.

It's important to note that this calculation is an estimate and does not take into account other factors such as fiber content or specific types of fats. Additionally, there may be small rounding errors in the calculation.

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It aids in comprehending measurements when the data is scattered, standard deviation is significant. The standard deviation of the data will be higher the more evenly dispersed the data is.

Although the standard deviation is a frequently used statistic, it rarely receives the attention it merits. Although the mean and median are frequently mentioned in the news, they are rarely accompanied by any indication of how diverse the underlying data set was, so you only get a partial picture. In actuality, you might be overlooking the most captivating aspect of the tale.

What is Standard deviation?

A statistic known as the standard deviation is used to describe how volatile or dispersed a group of numerical values is. While a big standard deviation denotes that the values are scattered across a wider range, a low standard deviation indicates that the values tend to be close to the set mean.

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Social scientists gather data from samples instead of populations because c. populations are often too large to test.

Social scientists often cannot test an entire population due to its size, so they gather data from a smaller group or sample that is representative of the larger population. This allows them to make inferences about the larger population based on the data collected from the sample. The sample size must be large enough to accurately represent the population, but it is not necessarily larger or more complete than the population itself. Trustworthiness, meaning, and interest are subjective and do not necessarily determine why social scientists choose to gather data from samples.

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Answer:

each taco is $7.

Step-by-step explanation:

In total he spent $36. He bought a shirt for $22 and a bottle of water for $4.

22+4= 26

36-22= 14

14 divided by 2= 7

Answer:

each taco is $5.

Step-by-step explanation:

Let's think about like Mark starts off with $36. Take away $22 for that t-shirt he bought. Now he has $14. He uses $4 for water, now he has $10. The rest of his money is spent on tacos. $10/2 tacos is $5 for each taco. :)

Answer:

2, 13, 38

Step-by-step explanation:

To find the range, find the value of f(x) for each element in the domain.

\(f(-2)=7(-2)^2-4(-2)+2=28+8+2=38 \\ \\ f(-1)=7(-1)^2-4(-1)+2=7+4+2=13 \\ \\ f(0)=2\)

Answer:

A = 5

B = -13

C = 7

Step-by-step explanation:

The general formula of quadratic equation is ax^2+bx+c.

Answer: 1583.90

In June it’s 1583.90$

the average daily balance of Elliott's account for the month of June is $902.

calculate the average daily balance for Elliott's account in June. To calculate the average daily balance, we need to determine the balance at the end of each day in June. Starting with a balance of $1223 on June 1st, we can calculate the balance at the end of each day by adding or subtracting the amount of each transaction. The table below shows the daily balances: Day of June - Transaction type - Transaction amount -Balance

1 - Starting balance - 1223 - 1223

5 - Deposit - 615 - 1838

8 - Withdrawal - -632 - 1206

9 - Withdrawal - -120- 1086

10 - 30 - No transactions - 0 1086

The sum of the daily balances is: 01086 × 30 = 32580

The average daily balance is the sum of the daily balances divided by the number of days in June:

average daily balance = 32580 / 30 = 902

Therefore, the average daily balance of Elliott's account for the month of June is $902.

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Answer: 6 divided by 2/3

Step-by-step explanation:

The division equation which represents the situation is 6 ÷ 2/3 = 9.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Division equation is the equation involving the operation of division.

The model shows there are 9 pieces that are each 2/3 feet long.

We can calculate the total length of the pieces using the multiplication equation.

9 × 2/3 = 6

Total length = 6 feet

Length of each piece = 2/3 feet

Number of pieces can be found using the division equation,

6 ÷ 2/3 = 9

Hence the division equation for the given situation is 6 ÷ 2/3 = 9.

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Answer:

B. √3/2.

Step-by-step explanation:

If we follow the circle from (1,0) clockwise through 240 degrees we end up at 120 degrees.

sin(120)

= √3/2

It will take them 2 hours to do the whole task if they work together.

If one person can do a task in 3 hours and another person can do the same task in 6 hours, then we can calculate their individual rates of work as follows:

The first person can do 1/3 of the task per hour (since it takes them 3 hours to do the whole task).

The second person can do 1/6 of the task per hour (since it takes them 6 hours to do the whole task).

When they work together, their rates of work will add up, so their combined rate of work is:

1/3 + 1/6 = 1/2

This means that working together, they can do 1/2 of the task per hour. To find out how long it will take them to do the whole task, we can use the formula:

time = work ÷ rate of work

Since the whole task is 1 unit of work, and their combined rate of work is 1/2 units per hour, we can plug in these values to get:

time = 1 ÷ (1/2) = 2 hours

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