determine whether the series converges or diverges. [infinity] 3 n2 9 n = 1

Answer:

the average for 129 is 159 and the average for 47 is 49

Step-by-step explanation:

Answer:

a) checkpoint 5

b) checkpoint 3

c) Its above sea level

hope that helps :)

Step-by-step explanation:

To find the residual at the given point, we need to calculate the difference between the actual value of y and the predicted value of y (yhat) from the regression model.

Given:

Regression model: yhat = 10.4 + 1.8x

Actual value: y = 25

x = 14

Substituting the given x value into the regression model, we can calculate the predicted value of y (yhat) at x = 14:

yhat = 10.4 + 1.8(14)

    = 10.4 + 25.2

    = 35.6

The predicted value of y (yhat) at x = 14 is 35.6.

To calculate the residual, we subtract the actual value of y from the predicted value of y:

Residual = y - yhat

        = 25 - 35.6

        = -10.6

Therefore, the value of the residual at x = 14 is -10.6.

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There are a number of aspects to consider when designing an experiment to manipulate the amount of food given to Siamese fighting fish. One of the most critical is ensuring that all other variables are kept constant so that any observed changes in fish behavior can be attributed solely to the change in food intake.

In the present case, Meghan has taken steps to ensure that the size of the fish tank is identical for each fish and that they are assigned to groups randomly. However, she has not mentioned anything about keeping water temperature, lighting conditions, or other variables constant. While Meghan’s approach is a good start, it is important to keep in mind that the Siamese fighting fish is a highly sensitive species that can be easily stressed by changes in its environment. Therefore, any small variations in water quality, temperature, or lighting can have a significant impact on the behavior of the fish. To ensure that the experiment is as rigorous as possible, it is necessary to keep all these variables constant across all groups of fish. In addition, it is also important to monitor the health of the fish carefully throughout the experiment to ensure that they are not being harmed by the manipulation of food intake. If these additional steps are taken, the results of the experiment will be more reliable, and the conclusions drawn from them will be more accurate.

In conclusion, Meghan has not yet considered the importance of keeping all environmental variables constant in her experiment. It is critical that water quality, temperature, lighting, and other variables be kept identical across all groups of fish to ensure that the observed changes in behavior are due solely to the change in food intake. By taking these additional steps, the results of the experiment will be more reliable, and the conclusions drawn from them will be more accurate.

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According to the Gallup poll, the proportion of American adults who believe in conspiracy theory has decreased significantly since 2001.

To test whether the proportion of Americans who believe in the conspiracy surrounding the death of President Kennedy has decreased, we need to conduct a hypothesis test. Let us assume that the null hypothesis is that the proportion of Americans who believe in the conspiracy theory has remained the same or increased, while the alternative hypothesis is that the proportion has decreased.
Let p be the true proportion of American adults who believe in the conspiracy theory, and let p0 be the proportion in 2001 (81%). The sample proportion in 2013 is 634/1039=0.61. The sample size is sufficiently large (1039>30), so we can use the z-test.
The test statistic is:
z = \((p - p0) / \sqrt{[p0*(1-p0)/n]}\)
 = (0.61 - 0.81) / \(\sqrt{[0.81*(1-0.81)/1039]}\)
 = -11.08
At the 1% level of significance, the critical value for a two-tailed test is z* = 2.58. Since the test statistic (z = -11.08) is much smaller than the critical value (z* = 2.58), we reject the null hypothesis in favour of the alternative hypothesis. Therefore, the data provide strong evidence that the proportion of Americans who believe in the conspiracy theory surrounding the death of President Kennedy has decreased since 2001.
In conclusion, according to the Gallup poll, the proportion of American adults who believe in conspiracy theory has decreased significantly since 2001. The sample size is sufficiently large, and the z-test was used to reach this conclusion at the 1% level of significance.

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Answer:

x = 20 , z = 92

Step-by-step explanation:

(6x - 28) and (9x - 92) are a linear pair and sum to 180° , then

6x - 28 + 9x - 92 = 180

15x - 120 = 180 ( add 120 to both sides )

15x = 300 ( divide both sides by 15 )

x = 20

then

6x - 28 = 6(20) - 28 = 120 - 28 = 92

z and ( 6x - 28) are vertically opposite angles and are congruent , so

z = 92

Answer:

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also h*t and s**y ..

Answer:

plz mark me as a brainelist

hope it helps you

In the equation y = $7.20x + $790, "y" represents the total cost. An equation is a mathematical statement that shows the relationship between two or more variables. In this equation, there are two variables - "x" and "y". The variable "x" represents the number of units produced or sold, while "y" represents the total cost.

The coefficient of "x" in the equation, which is 7.20, represents the variable cost per unit. This means that for each unit produced or sold, there is an additional cost of $7.20. The constant term, which is $790, represents the total fixed costs. Fixed costs are those costs that do not vary with the number of units produced or sold.To find the total cost of producing or selling a certain number of units, we can plug in the value of "x" into the equation and solve for "y". For example, if we want to find the total cost of producing 100 units, we can substitute x=100 into the equation:
y = $7.20(100) + $790
y = $720 + $790
y = $1510
Therefore, the total cost of producing 100 units is $1510. In summary, "y" represents the total cost in the given equation, which is determined by both fixed and variable costs.
In the equation y = $7.20x + $790, "y" represents option C: total costs. This equation has two components: "$7.20x" represents the variable costs per unit, where x is the number of units, and "$790" represents the total fixed costs. By adding these two components together, you get the total costs (y) for producing x units.

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Your answer is 4.

Explanation:--

The Mean of the Data set is ---

2+5+1+7+6+4+3

7

= 4.

Hence, Mean of the data set is 4.

Answer:

To find the mean, you must add all the numbers and divide it by the amount of numbers in the set.

2 + 5 + 1 + 7 + 6 + 4 + 3
= 28
28 divided by 7 = 4

The answer is 4

Step-by-step explanation:

The arithmetic mean is the simple average, or sum of a series of numbers divided by the count of that series of numbers.

In the world of finance, the arithmetic mean is not usually an appropriate method for calculating an average, especially when a single outlier can skew the mean by a large amount.

Other averages used more commonly in finance include the geometric and harmonic mean.

As per the gaussian distributed random variables , the joint probability density function of the given variable is E [Z(t1)] = cos(2πt1)E [X] + sin(2πt1)E [Y]

Gaussian distribution:

In statistics, the Gaussian distribution refers the normally distributed, and is called a normal deviate. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known.

Given,

Here we need to find the the joint probability density function of the variables x and y be independent gaussian distributed random variables each with zero mean and unity variance.

Here we know that every weighted sum of the samples of the Gaussian process Z(t) is Gaussian, Z(t1), Z(t2) are jointly Gaussian random variables. Hence we need to find mean, variance and correlation co-efficient to evaluate the joint Gaussian PDF.

Then the equation is written as,

=> E [Z(t1)] = cos(2πt1)E [X] + sin(2πt1)E [Y]

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Answer:

(x + 2)^2 + (y - 6.5)^2 = 25.25

Step-by-step explanation:

We can the equation of the circle in standard form, whose general equation is:

\((x-h)^2+(y-k)^2=r^2\), where

Step 1:  We know that the diameter is simply 2 * the radius.  Thus, we can find the radius by first finding the length of the diameter.  To do this, we'll need the distance formula, which is:

\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\), where

We can allow (-7, 7) to be our (x1, y1) and (3, 6) to be our (x2, y2) point and plug these into the formula to find d, the distance between the points and the length of the diameter:

\(d=\sqrt{(3-(-7))^2+(6-7)^2} \\d=\sqrt{(3+7)^2+(-1)^2}\\ d=\sqrt{(10)^2+1}\\ d=\sqrt{100+1}\\ d=\sqrt{101}\)

Now we can multiply our diameter by 1/2 to find the length of the radius:

r = 1/2√101

Step 2:  We know that the center lies at the middle of the circle and therefore represents the midpoint of the diameter.  The midpoint formula is

\(m=(\frac{x_{1}+x_{2} }{2}),(\frac{y_{1}+y_{2} }{2})\), where

We can allow (-7, 7) to be our (x1, y1) point and (3, 6) to be our (x2, y2) point:

\(m=(\frac{-7+3}{2}),(\frac{7+6}{2})\\ m=(\frac{-4}{2}),(\frac{13}{2})\\ m=(-2,6.5)\)

Thus, the coordinate for the center are (-2, 6.5).

Step 3:  Now, we can create the equation of the circle and simplify:

(x - (-2)^2 + (y - 6.5)^2 = (1/2√101)^2

(x + 2)^2 + (y - 6.5)^2 = 25.25

The correct notation for the mean of the y values is D)yÌ. The notation "yÌ" is commonly used to represent the mean or average of a set of y values. It is calculated by adding up all of the y values and dividing by the number of values in the set. For example, if we have the y values 2, 4, 6, and 8, the mean would be (2 + 4 + 6 + 8) / 4 = 5, so yÌ = 5. This notation is often used in statistics and data analysis to represent the central tendency of a set of data.

The sample standard deviation is 0.89

In the given statement is:

A sample n = 5 scores which means that there are 5 sample having m = 20 which is the arithmetic mean (A.M.)of these samples, and \(s^{2}\) = 4 is the variance of these samples.

Let us know the :

What is meant by Sample Standard deviation?

The sample standard deviation (s) is the square root of the sample variance and is also measure of the spread from the expected values.

Standard deviation is the square root of the variance.

Therefore, \(s^{2}\) =4 => s = 2

(Where, s denotes sample standard deviation ,σ)

Also, Standard error of the sample S(E) = Sample standard variance / \(\sqrt{number of samples}\)

= σ /\(\sqrt{n}\) = 2/\(\sqrt{5}\)

and, root 5 = 2.24

put the value of root 5

=2 / 2.24

= 0.89

Hence, The sample standard deviation is 0.89

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Answer:

A) |−6| > −6

Step-by-step explanation:

Absolute value means take the non negative number

A) |−6| > −6 = 6> -6 true  

B) |12| < |−5| 12 < 5 false

C) |−8| < 8 8 < 8 false

D) 7 > |−10|  7 > 10 false

Answer:

15) CE= 14

16) BD= 15

Step-by-step explanation:

Please see the attached picture for the full solution.

The person who is an american author, anthropologist, and filmmaker who portrayed racial struggles in the early 1900 american south and published research on hoodoo is Zora Neale Hurston.

She is known for portraying racial struggles in the early 1900s American South and published research on hoodoo. Her most popular novel, "Their Eyes Were Watching God," was published in 1937. She also wrote over 50 short stories, plays, and essays.

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Given:

what is the percent increase from 72 to 81?

The difference between the numbers are =

so, the percent increase =

So, the answer is 12.5%

​

The answers are (a) 1.5 orders (b) 0.5  (c)-1

a. Probability that a faxed order will arrive within the next 9 minutes:

Since there are 24 hours in a day, and we receive an average of 20 orders every two hours, this means we receive an average of 10 orders per hour. We can assume that orders arrive uniformly throughout the hour. To find the probability that a faxed order will arrive within the next 9 minutes, we can convert the time to hours. 9 minutes is \(\frac{9}{60} = 0.15\) hours. The probability of an order arriving within the next 9 minutes is equal to the average rate of orders per hour multiplied by the time interval:

Probability = (10 orders/hour) * (0.15 hours) = 1.5 orders.

b. Probability that the time between two faxed orders will be between 3 and 6 minutes. Again, we need to convert the time interval to hours. 3 minutes is \(\frac{3}{60}=0.05\) hours, and 6 minutes is \(\frac{6}{60} = 0.1\).

The probability of the time between two orders being between 3 and 6 minutes can be calculated as the difference between the probabilities of an order arriving within the next 3 minutes and an order arriving within the next 6 minutes:

Probability = (10 orders/hour)  (0.1 hours) - (10 orders/hour) (0.05 hours)

= 1 - 0.5

= 0.5.

c. Probability that 12 or more minutes will elapse between faxed orders:

Similar to the previous calculations, we convert the time to hours. 12 minutes is \(\frac{12}{60} = 0.2\) hours.

The probability that 12 or more minutes will elapse between faxed orders can be calculated as the probability of no orders arriving within the next 12 minutes:

Probability = 1 - (10 orders/hour) (0.2 hours)

= 1 - 2

= -1.

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Answer:b the probabilty that it contains nuts and is white

Step-by-step explanation:im sorry if this is wrong but its the only one that makes sense to me

Conditional probability is represented by probability that the candy is blue

The concept of the conditional probability formula is one of the quintessential concepts in probability theory. The conditional probability formula gives the measure of the probability of an event, say B given that another event, say A has occurred.  

The Bayes' theorem is used to determine the conditional probability of event A, given that event B has occurred, by knowing the conditional probability of event B, given that event A has occurred, also the individual probabilities of events A and B.

: In case P(B)=0, the conditional probability of P(A | B) is undefined.  (the event B did not occur)

Given:

Some red, white, and blue candies were placed in a bowl.

Some contain nuts, and some do not

Here we are only focusing on the red candy which shows we have reduce the sample space.

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-2.2º

1) Given that at sunset it was -6.4, then ir rose 16.9 by noon

2) Then it decreased by 12.7, so

10.5 -12.7 =-2.2 The sign of the greatest number in absolute value prevails

3) Hence, at midnight the Temperature was -2.2

The total area of metal that can be seen on the surface of the wood is 43.2 square millimeters.

To find the total area of metal that can be seen on the surface of the wood, we need to find the area of one nail head and then multiply that by the number of nails.

The area of a circle is given by the formula:

A = πr²,

where π is the mathematical constant pi (estimated as 3 in this case) and r is the radius of the circle (half of the diameter).

So, the area of one nail head in square millimeters is:

A = 3 ×(2.4/2)² = 3 × 1.2² = 3 × 1.44 = 4.32 square millimeters

As there are 10 nails, so the total area of metal that can be seen on the surface of the wood in square millimeters is:

Total area = 4.32 square millimeters/nail × 10 nails = 43.2 square millimeters

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Given:

10 boys clear a piece of land in 21 days.

To find:

The number of days it will take 7 boys to clear the same land at the same rate.

Solution:

We have,

10 boys clear a piece of land in 21 days.

Total work = \(10\times 21\)

                 = \(210\)

Let 7 boys clear the same piece of land in x days.

Total work = \(7\times x\)

                 = \(7x\)

Now, the total work is same.

\(7x=210\)

Divide both sides by 7.

\(x=\dfrac{210}{7}\)

\(x=30\)

Therefore, 7 boys clear the same piece of land in 30 days.

Respuesta:

1/2; 4/3; 5/3; 1/4; 1/6; 4/7

Explicación paso a paso:

1.)

4/6 * 3/4

= 24/12

= 1/2

2.) 14/5 * 10/21

= 2/1 * 2/3

= 4/3

3.)

4/10 * 6/9

= 60/36

= 5/3

4.) 3/8 * 6/9

= 1/4 * 3/3

= 3/12 = 1/4

5.)

4/10 * 5/12

= 20/120

= 1/6

6.)

15/9 * 20/21

= 3/3 * 4/7

= 4/7

Answer:

x=10

Step-by-step explanation:

-3+x=7

Add 3 to both sides.

7+3=10

x=10

Answer:

x=10

Step-by-step explanation:

-3+x=7

You have to add 3 to both sides to cancel out the -3

x=10

That leaves you with x=10

Answer:

74.3  and 105.7  

Step-by-step explanation:

In ΔUVW, v = 39 inches, u = 37 inches and ∠U=66°. Find all possible values of ∠V, to the nearest 10th of a degree.

U

V

W

u = 37

v = 39

66°

?°

\frac{\sin A}{a}=\frac{\sin B}{b}

a

sinA

​  

=  

b

sinB

​  

From the reference sheet (reciprocal version).

\frac{\sin V}{39}=\frac{\sin 66}{37}

39

sinV

​  

=  

37

sin66

​  

Plug in values.

\sin V=\frac{39\sin 66}{37}\approx 0.9629263

sinV=  

37

39sin66

​  

≈0.9629263

Evaluate.

V=\sin^{-1}(0.9629263)\approx 74.35\approx 74.3^{\circ}

V=sin  

−1

(0.9629263)≈74.35≈74.3  

∘

Inverse sine and round.

\text{Quadrant II: } 180-74.3=105.7^{\circ}

Quadrant II: 180−74.3=105.7  

∘

Sine is positive in quadrants 1 and 2.

\text{Check for possibility:}

Check for possibility:

No triangle's angles may add to more than 180.

66+74.3=140.3^{\circ}\leftarrow \text{Possible}

66+74.3=140.3  

∘

←Possible

Less than 180.

66+105.7=171.7^{\circ}\leftarrow \text{Possible}

66+105.7=171.7  

∘

←Possible

Less than 180.

\text{Answer: }74.3^{\circ}\text{ and } 105.7^{\circ}

Answer: 74.3  

∘

 and 105.7  

∘

The possible value of the angle XV, to the nearest 10th of a degree in the triangle UVW, where v = 39 inches, u = 37 inches and ZU=66º is 74.4°

The law of sine is nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

It can be given as,

\(\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}\)

Here (A,B,C) are the angle of the triangle and (a,b,c) are the sides of that triangle.

In triangle UVW,

Put the values in the formula of sine law,

\(\dfrac{\sin V}{v}=\dfrac{\sin U}{u}\\\dfrac{\sin V}{39}=\dfrac{\sin 66}{37}\\\sin V=\dfrac{\sin 66}{37}\times39\\V=\sin^{-1}(0.9629)\\V\approx 74.4^o\)

Thus, the possible value of the angle XV, to the nearest 10th of a degree in the triangle UVW, where v = 39 inches, u = 37 inches and ZU=66º is 74.4°

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Answer:

Simplifying

6x + -3 = 2x + 13

Reorder the terms:

-3 + 6x = 2x + 13

Reorder the terms:

-3 + 6x = 13 + 2x

Solving

-3 + 6x = 13 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-3 + 6x + -2x = 13 + 2x + -2x

Combine like terms: 6x + -2x = 4x

-3 + 4x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0

-3 + 4x = 13 + 0

-3 + 4x = 13

Add '3' to each side of the equation.

-3 + 3 + 4x = 13 + 3

Combine like terms: -3 + 3 = 0

0 + 4x = 13 + 3

4x = 13 + 3

Combine like terms: 13 + 3 = 16

4x = 16

Divide each side by '4'.

x = 4

Simplifying

x = 4 Step-by-step explanation: \\\\\\\ hope this helped

Answer:

x = 2

Step-by-step explanation:

6x - 3 = 13 - 2x

     +3    +3

6x = 16 - 2x

+2x        +2x

8x = 16

divide both sides by 6

x = 2

Hope this Helps!!!

The secret phrase include the following: C. THE CORN IS YUMMY.

Based on the information provided above, we can logically deduce that the square matrix A represent the encoder.

Assuming the matrix X represent the secret phrase and the matrix B represent the encoded text, the relationship between the three matrices can be modeled by the following equation:

AX = B

X = A⁻¹B

Next, we would multiply the inverse matrix A⁻¹ by matrix B as follows;

\(X=\left[\begin{array}{ccc}-2&5\\1&-2\end{array}\right] \times \left[\begin{array}{ccccccc}85&111&135&111&95&101&153\\38&46&55&45&41&44&64\end{array}\right]\\\\\\X=\left[\begin{array}{ccccccc}20&8&5&3&15&18&14\\9&19&25&21&13&13&25\end{array}\right]\)

By converting the numbers in matrix X to alphabet, we have:

T = 20    I = 9

H = 8      S = 14

E = 5      Y = 25

C = 3      U = 21

O = 15     M = 13

R = 18     M = 13

N = 14     Y = 25

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Dissatisfied customers are likely to share their negative experiences with an average of 9-15 people, but with the reach of social media, their impact can be significantly amplified, potentially influencing a wider audience and damaging a salesperson's reputation and sales.

When dissatisfied with a product or service, customers are more likely to share their negative experiences with others. The exact number of people they may tell can vary, but it's often cited that dissatisfied customers will share their negative experiences with an average of 9 to 15 other people.

This number can increase significantly in the age of social media, where dissatisfied customers have the ability to reach a much larger audience through online platforms and reviews. Therefore, it's crucial for salespeople to address customer concerns and ensure customer satisfaction to prevent negative word-of-mouth and potential damage to their reputation.

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Answer: C

Look at the graph the lines meet at this point, this is the logical answer

5,3

Step-by-step explanation: