Write down the formula for calculating an unbiased estimate, Sry, of the covariance coefficient of variables x and y of a large (but finite) population, based on a random sample of n items. Define any symbols you use.

Answer:

−m(m+n)(3m+3n−1)

Step-by-step explanation:

Answer: i dont know all i want is the points

The equation of the function, g(x) from the task content is; g(x) = -x/25 + 203/25.

From observation of the function, f(x), it follows that the slope of f(x) is 25. Hence, it follows that the slope of g(x) is; -1/25 since both functions are perpendicular to each other.

Therefore, the equation for g(x) is;

-1/25 = (y-8)/(x-3)

25y -200 = -x +3

Hence, y = -x/25 + 203/25.

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The simplified form of the given complex fraction is (2x+1)/(x+2).

The given complex fraction is \(\frac{\frac{2}{x+2} }{\frac{1}{x} } +\frac{1}{x+2}\).

Here, the given fraction can be solved as follows

2/(x+2) ×x/1 + 1/(x+2)

= 2x/(x+2) + 1/(x+2)

= (2x+1)/(x+2)

Therefore, the simplified form of the given complex fraction is (2x+1)/(x+2).

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Answer:

9

Step-by-step explanation:

Add the numbers together and then divide by how many numbers there are.

Answer:

you need to show it

Step-by-step explanation:

The equation allows us to chart the tree's development over time and forecast its ultimate height.

A function is a mathematical formula that allots each input from one set, known as the domain, to precisely one output from another set, known as the range. A function can be used to model relationships between variables, answer issues, and make predictions. It can be represented by an equation, a graph, a table, or a verbal description. Numerous branches of mathematics, as well as disciplines like physics, engineering, finance, and computer science, make extensive use of functions. Typical instances of functions include: When a function is graphed, it always changes at the same rate and forms a straight line. They are frequently used to simulate relationships between two variables that are related linearly, such as time and location.

given

After d days, Alani created the following algorithm to measure the height of the banana tree:

h = d + 8

Since this function is linear, the banana tree's development will remain constant over time. According to the calculation, the tree starts out at a height of 8 units, and it increases by 1 unit per day after that.

We can enter a figure for d (the number of days) and solve for h using this equation (the height of the tree after d days). For instance, we can enter d = 10 into the calculation to get the height of the tree after 10 days:

h = 10 + 8

h = 18

Therefore, the altitude of the banana plant after 10 days would just be 18 units. This equation allows us to chart the tree's development over time and forecast its ultimate height.

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Answer:39 i dont im 12 ps out

Step-by-step explanation:

Answer:

(-1,4)

Step-by-step explanation:

mp=xi+xii/2,yi+yii/2

7+-9/2=-1

0+8/2=4

=(-1,4)

Answer:

$0.32, so a quarter a nickel and 2 pennies

Step-by-step explanation:

Answer:

$0.32

Step-by-step explanation:

First, add $1.29+$0.39 to get the total amount of the transaction.

$1.29+$0.39 = 1.68

Then, subtract that from the amount paid.

$2.00-$1.68

= $0.32

As we can note the tables shows a linear behavior. Then, the parent function of the function represented in the table is linear.

If function f is vertically compressed by a factor of 1/4, the f(x) - values will be divided by 4.

The correct interpretation of the p-value is given by:

B If the average battery life really is 5 hours, then a sample of 10 observations having a sample mean of 4.25 hours or lower would only occur about 3.8% of the line.

It depends on the test statistic z, as follows:

In this problem, a left-tailed test is used, as we are testing if the mean is less than 5 hours.

The sample mean from the 10 times was of 4.25, and the p-value is of 0.038, which means that the area to the left of Z under the normal curve is of 0.038, that is, a sample mean of 4.25 hours or lower would only occur about 3.8% of the line, hence option B is correct.

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Answer:

270 cans of soda

Step-by-step explanation:

First, we need to find the volume of the box and the volume of a can.

Volume of box = \(l\times w\times h\)

\(=17\times45\times20\)

\(=15300cm^{3}\)

Volume of can = \(\pi r^{2}h\)

Since we are given the diameter and that the radius is half the diameter, \(r = 1.5cm\)

Volume of can = \(\pi \times 1.5^{2}\times 8\)

\(= 56.54866776cm^{3}\) (using calculator)

To find how many cans can fit into the box:

Number of cans = volume of box \(\div\) volume of can

\(= 270.5634033\)

Because we are trying to find how many full whole cans can fit in the box, ∴ 270 cans of soda can fit in the box.

Hope this helps :)

Circumference of the barrel is 51.81 unit

Given that;

Diameter of barrel = 16.5 unit

Find:

Circumference of the barrel

Computation:

Radius of barrel = 16.5/2 unit

Radius of barrel = 8.25 unit

Circumference of the barrel = Circumference of the circle

Circumference of the barrel = 2πr

Circumference of the barrel = 2(3.14)(8.25)

Circumference of the barrel = 51.81 unit

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The equation of the circle with the points is x² + y² - 4x - 6y - 12 = 0

From the question, the points on the circle are given as

Points = (-2, 6), (2, 8), and (5, -1)

The equation of a circle is represented as

x² + y² + 2gx + 2fy + c = 0

By substituting the points in the circle equation, we have

(-2)² + (6)² + 2g(-2) + 2f(6) + c = 0

(2)² + (8)² + 2g(2) + 2f(8) + c = 0

(5)² + (-1)² + 2g(5) + 2f(-1) + c = 0

Evaluate

40 - 4g + 12f + c = 0

68 + 4g + 16f + c = 0

26 + 10g - 2f + c = 0

Add the equations 68 + 4g + 16f + c = 0 and 40 - 4g + 12f + c = 0

108 + 28f + 2c = 0

Divide through by 2

54 + 14f + c = 0

Subtract 2.5 of 68 + 4g + 16f + c = 0 from 26 + 10g - 2f + c = 0

(26 + 10g - 2f + c = 0) - 2.5(68 + 4g + 16f + c = 0)

(26 + 10g - 2f + c = 0) - (170 + 10g + 40f + 2.5c = 0)

Evaluate

-144 - 42f -1.5c = 0

Make c the subject in 54 + 14f + c = 0

c = 0 - 54 - 14f

c = -54 - 14f

Substitute c = - 54 - 14f in -144 - 42f -1.5c = 0

-144 - 42f -1.5(-54 - 14f) = 0

Evaluate

-144 - 42f + 81 + 21f = 0

Evaluate the like terms

-21f  - 63 = 0

This gives

-21f  = 63

Divide

f = -3

Substitute f = -3 in c = -54 - 14f

c = -54 - 14 * -3

Evaluate

c = -12

Substitute f = -3 and c = -12 in 40 - 4g + 12f + c = 0

40 - 4g - 12 * 3 - 12 = 0

So, we have

- 4g - 8 = 0

Rewrite as

- 4g = 8

Divide by 4

g = -2

Substitute f = -3 and c = -12  and g = -2 in x² + y² + 2gx + 2fy + c = 0

x² + y² - 4x - 6y - 12 = 0

Hence, the circle equation is x² + y² - 4x - 6y - 12 = 0

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Answer:

Different key aspects of the graph are revealed by each form. From the vertex form, you can easily determine the vertex, (3, −4). From the factored form, you can easily determine the x-intercepts, 1 and 5. In standard form, the y-intercept is clearly 5.

Step-by-step explanation:

__________________________________________________________

-DarkspiritOwO-

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.

The factored form of a quadratic function reveals its root.

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.

We have,

Factor form of a quadratic function.

Factoring quadratics is a way of expressing the quadratic function:

ax2 + bx + c = 0

as a product of its factors as:

(x - k) (x - h),

where h, k are the roots of the quadratic function.

Thus,

The factor form of a quadratic function reveals its root.

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Answer:

-3

Step-by-step explanation:

Plug in x = -3

5(-3) - 4[7+(2(-3)-4)]

We'll use order of operations (PEMDAS) from here on out.

Evaluate what is in the innermost parentheses first (2(-3) - 4: the parentheses inside of the brackets). We first multiply 2 * -3, then subtract -4.

2(-3) - 4 = -6 - 4 = -10

So the whole expression becomes

5(-3) - 4[7+ -10]

Now evaluate what is in brackets.

5(-3) - 4[-3]

Multiplication next, before addition.

-15 + 12

Finally, addition

-3

The data provided by another lab group has been analyzed using a graph template. The graph shows a trend similar to the expected pattern, but there is a significant deviation in one data point that suggests an experimental error.

Explanation:

Upon analyzing the data, it appears that the overall trend of the graph is similar to what we would expect. However, there is a significant deviation in one of the data points. This deviation suggests that there was an experimental error during that particular measurement. It could be due to various reasons such as equipment malfunction, human error, or sample contamination.

To identify the source of the error, the lab group should investigate their methods and procedures for that particular measurement. They should check the calibration of their equipment and the accuracy of their measurements. Additionally, they should review their lab notes and compare their results with those obtained by other lab groups to see if there were any inconsistencies. Once the source of the error is identified, they can take corrective action and repeat the measurement to obtain accurate results. Overall, the identification and correction of experimental errors are crucial to ensure the validity and reliability of scientific data.

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Answer:

2

Step-by-step explanation:

The slope of the line is basically the gradient so I used the formula

(y2-y1) / (x2 - x1) which gives (-5-1) / (3-0) = 2

To round up the second unit, only the two largest non-zero units should be used. For example, if the output represents slightly more time than x seconds, it will be rounded up to the nearest minute.

To explain further, let's consider an example where x represents a certain amount of time in seconds. To convert this time to a more simplified and rounded format, we follow the given instruction.

First, we identify the two largest non-zero units. In the context of time, the units are seconds, minutes, hours, and so on. Since we are working with seconds, the largest non-zero unit is seconds itself. The next largest non-zero unit is minutes.

Next, we round up the second unit if necessary. For instance, if the time represented by x seconds is slightly more than a whole number of minutes, we round up to the next minute.

For example, if x seconds is equivalent to 90 seconds, we would round up to 2 minutes. Similarly, if x seconds is equivalent to 180 seconds, we would round up to 3 minutes.

By following this approach, we ensure that the output time representation has only two units (seconds and minutes), even if it means representing slightly more time than x seconds.

Overall, this rounding method simplifies and rounds the time representation to the nearest minute, ensuring that the output has only two units.

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When the price of coffee increases, consumers may choose to drink more tea due to the substitution effect, where they opt for a relatively cheaper alternative.

The most likely explanation for drinking more tea when the price of coffee increases is the substitution effect. As the price of coffee rises, it becomes relatively more expensive compared to tea, leading to a change in consumer behavior.

The substitution effect occurs when consumers switch to a relatively cheaper alternative when the price of a good they usually consume increases. In this case, as the price of coffee increases, it becomes less affordable or less desirable for the consumer. As a result, the consumer chooses to substitute coffee with tea, which is relatively cheaper.

The substitution effect is based on the principle of diminishing marginal utility. When the price of a good increases, the consumer perceives it as offering less value for money. Therefore, they opt for a substitute that provides a similar utility or satisfaction at a lower cost.

Overall, the increase in the price of coffee motivates the consumer to shift their consumption towards tea as a more affordable alternative.

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The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

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The error Justin made in his calculation is "He should have added the values in the numerator before dividing by 2".

The correct answer choice is option B

(x + y + 5) / 2

Where,

x and y are his parents’ current heights in inches,

Mom’s height = 54 inches

Dad’s height = 71 inches

Substitute into the expression

(71 + 54 + 5) / 2

= 130/2

= 65 inches

Justin's work:

( 71 + 54 + 5 ) / 2

= 71 + 27 + 5

= 103 inches

Therefore, Justin should have added the numerators before dividing by 2.

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4. Acute triangle

5. Equilateral triangle

6. Right triangle

7. Acute triangle

8. Right triangle

9. Obtuse triangle

10. Obtuse triangle

11. Acute triangle

12. Acute triangle.

Those are all the answers I know. I'm pretty sure someone might do the rest.

Answer:

The answer is below

Step-by-step explanation:

Let x represent the length of the rectangular pen and y represent the width of the rectangular pen. Since the total area of the pen is 169 ft², hence:

Area = length * width

169 = xy

y = 169/x

Also the perimeter of the rectangular pen is:

Perimeter (P) = 2(length + width)

P = 2(x + y)

P = 2x + 2y

P = 2x + 2(169/x)

P = 2x + 338/x

The least amount of fencing is at dP/dx = 0, hence:

dP/dx = 2 - 338/x² = 0

338/x² = 2

2x² = 338

x² = 169

x = 13 feet

y = 169 / x = 169/13 = 13 feet

The least amount of fencing = P = 2(x + y) =  2(13 + 13) = 52 feet

Answer:10,600 to 16,400

Step-by-step explanation:

First you subtract the margin of error to find  the least amount of hours.

6.75 - 1.45 = 5.3 x 2,000(people) = 10,600 (least amount of hours)

Then you add the margin of error to find the most amount of hours.
6.75 + 1.45 = 8.2 x 2,000(people) = 16,400 (most amount of hours)

The margin of error just shows that people spent at least 5.3 and at most 8.2 hours at the park.

You multiply those numbers with how many people went to the park. 2,000

That means the answer is C: 10,600 TO 16,400.

Plus.....I took the test and got it right!