For numbers 11 to 13, determine whether the sequence is a) monotonic b) bounded. (4 points each) 11. {an} = 0 3n 12. {an} Chinten 13. {an} = {2(-1)"+1}

Internal validity explains the association between binge-watching tv and irritability.

In the context of a specific study, internal validity refers to how strongly a piece of evidence supports a claim regarding cause and effect. It is one of the most crucial characteristics of scientific research and a crucial idea when considering evidence more generally.

The extent to which alternative explanations for a study's findings (often, sources of systematic error or "bias") can be ruled out is a measure of its internal validity. In contrast, external validity measures how well data support judgments made regarding other situations (that is, the extent to which results can be generalized).

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The diameter of a wire significantly impacts its strength, range, and stiffness.

1. Strength: As the diameter of a wire increases, its overall strength improves. A larger cross-sectional area allows the wire to withstand greater forces before breaking. This is because the increased material can distribute force more effectively, resulting in enhanced tensile strength.

2. Range: The diameter of a wire also influences its range or length. Thicker wires tend to have shorter range capabilities compared to thinner wires. As the diameter increases, the weight and stiffness of the wire rise as well, making it harder to extend or coil over long distances. Conversely, thinner wires are more flexible and lightweight, enabling them to cover greater lengths.

3. Stiffness: Lastly, the diameter of a wire impacts its stiffness, which is the resistance of the wire to bending or deformation. With a larger diameter, the stiffness of the wire increases due to the higher amount of material present. This means that it requires more force to bend or change the shape of the wire, resulting in greater rigidity. On the other hand, wires with smaller diameters are more pliable and can easily be bent or manipulated.

In summary, the diameter of a wire plays a crucial role in determining its strength, range, and stiffness. Thicker wires exhibit enhanced strength and stiffness but may have limited range capabilities, while thinner wires are more flexible and suitable for longer distances but may not be as strong or rigid.

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Answer:

Step-by-step explanation:

Answer is 17.2 YW

From the diagram shown, the algebraic expression representing the perimeter of the shape is 12x - 10

This is determined by substituting the values into the formula for perimeter.

The formula for determining the perimeter of an isosceles trapezoid is expressed as;

Perimeter = a + b + c + d

Note that none of the sides of an isosceles trapezoid are equal

Where;

Now, let's substitute the values into the formula for perimeter of an isosceles trapezoid

Perimeter = x + (2x + 5) + ( 3x + 2) + (6x - 17)

Now, expand the bracket

Perimeter = x + 2x + 5 + 3x + 2 + 6x - 17

collect like terms

We have;

Perimeter = x + 2x + 3x + 6x + 5 + 2 - 17

Add like terms

Perimeter = 12x + 7 - 17

Perimeter = 12x - 10

Thus, the algebraic expression representing the perimeter of the shape is 12x - 10

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Answer:

4

Step-by-step explanation:

Prime Factorization of the numbers:

12=2x2x3

28=2x2x7

GCF(12,28)

=2x2

=4

The normal price of the car on the basis that the sale price of the car was £7500 is £10,000.

The fact that the normal prices are reduced by 25% means that the actual price paid eventually is 75%, which is 100% minus discount of 25%, hence, the actual price of £7500 paid eventually represents 75% of normal price

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Answer:

X can equal 22.5

Step-by-step explanation:

I've set up the equation below:

\(\frac{2}{3} +\frac{5}{x} =\frac{8}{9}\)

With this equation, as any addition equation goes, we assume it to be like this:

A +  B = C

so

C - A = B

that means,

\(\frac{8}{9} -\frac{2}{3} =\frac{5}{x}\)

The easiest thing to do is to make 2/3 have the same denominator as 8/9, we do this by...

\(\frac{2}{3} *\frac{3}{3} = \frac{6}{9} \\\)

So...

\(\frac{8}{9} -\frac{6}{9} =\frac{2}{9} =\frac{5}{x}\)

We now know that 5 over x equals 2 over nine. We can determine x by cross multiplying as follows:

\(\frac{5}{x} =\frac{2}{9} \\2x = 45\\x=22.5\)

So, x is 22.5, making the equation indeed solvable.

Have a nice day, fam. This problem really worked my brain! Spread The Love.

Based on the provided information, a) bias is introduced through convenience sampling there could be specific variable associated with the first hundred students. It can be avoided by simple random sampling. b) bias is introduced through wording as it includes a negative consequence. It can be avoided by just asking for an opinion without any associated reasoning or consequences.

Bias refers to a deviation of feedback which is based on certain influences by the surveyor and respondent. Sampling bias or selection bias refers to a type of bias in which a researcher gathers a sample of respondents for a questionnaire that does not accurately represent the population. Survey bias refers to the way the question is phrased or formatted, leading people to choose a certain answer instead of another. In the given case,

a) A bias may have been introduced based on the way the convenience sample was selected as there could be specific variable associated with each of the first hundred students that walk into the dining room. The first hundred students could possibly like the food and that is the reason why they come early to the dining room. Selecting students at the dining room may also exclude the students who dislike the food and choose to eat elsewhere. A simple random sample can help avoid this bias. By randomly selecting students at the university campus would provide a more inclusive and true representation of the population.

b) A bias may have been introduced based on the way the question is worded is to maintain the current meal plan as it presents a negative consequence to introducing a new meal plan. It states that a new meal plan would result in more cost. In order to avoid bias, the survey should ask students opinion about the food without introducing any external reasoning.

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Answer:

810 g flour

6 teaspoon (tsp) baking powder

12 tablespoons (tbsps) sugar

780 ml milk

6 egg

12 tablespoons (tbsps) oil

Step-by-step explanation:

24/4=6, so you need to multiply everything by six

Conducting multiple t-tests can be time-consuming and requires a larger sample size to ensure sufficient power to detect differences between the groups. This may increase the cost and resources required for the study.

What is analysis in mathematics?

The analysis is a branch of mathematics that deals with the study of functions, sequences, and limits. It is concerned with understanding how functions behave, how they change and grow, and how they can be approximated and analyzed.

There are several difficulties in conducting a multiple two-sample t-test analysis to compare four diets pairwise in the described study.

One difficulty is that the multiple t-tests increase the risk of Type I errors, which are false positive findings. When multiple tests are conducted, the overall probability of making at least one Type I error increases. This can lead to the conclusion that a difference exists between two groups when in fact there is no real difference. To control for this risk, the researchers would need to use a stricter significance level or adjust the p-values using a method such as the Bonferroni correction.

Another difficulty is that the multiple t-tests do not take into account the relationships between the different groups being compared. For example, if the low-carb diet group has significantly different outcomes from the control group, this may also affect the results of the comparison between the low-carb diet and the other diet groups. A more comprehensive analysis method, such as a one-way ANOVA or a multivariate analysis, would be needed to account for these relationships.

Hence, conducting multiple t-tests can be time-consuming and requires a larger sample size to ensure sufficient power to detect differences between the groups. This may increase the cost and resources required for the study.

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Answer:

Step-by-step explanation:

If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120

The number q is an odd number

The median of q consecutive integers = 120

Consider the q = 3

Then three consecutive integers will be 119, 120, 121

The largest number = 121

Substitute the value of q in each options

Option A

(q-1) / 2 + 120

Substitute the value of q

(3-1)/2 + 120

Subtract the terms

=2/2 + 120

Divide the terms

= 1 + 120

= 121

Therefore, largest of these integers is (q-1) / 2 + 120

I have answered the question in general, as the given question is incomplete

The complete question is

if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?

a) (q-1) / 2 + 120

b) q/2 + 119

c) q/2 + 120

d) (q+119)/2

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Answer:

Around 25.8 square units

Step-by-step explanation:

\(A=\dfrac{1}{2}(5)(18)(\sin 35)=\\\\45\cdot \sin 35\approx 25.8\)

Hope this helps!

Answer:

5/1hour

Step-by-step explanation:

hope this helps

Answer:

5 animals in one hour

Step-by-step explanation:

Ratios are fractions set equal to each other, like this:

\(\frac{x}{y} =\frac{x}{y}\)

We have one side of the ratio:

\(\frac{35}{7}\)

If we set 7 hours equal to 1 hour, we'll end up with:

\(\frac{35}{7}=\frac{?}{1}\)

If we cross multiply we end up with:

35*1 = ?*7

or

35 = 7x

When we divide both sides:

5 = x

So the vet cared for 5 animals in one hour.

The price per ticket that maximizes revenue is $10.

The average attendance at a price of $10 per ticket is 60,000 people.

The second derivative of the revenue equation with respect to x:

R''(x) = -20

Let's denote the price per ticket as x, and the average attendance as y. We can model the relationship between x and y as follows:

y = -10(x-20) + 40

This equation represents the fact that every decrease of $4 in price (x-20) adds 10,000 people to the average attendance (the -10 coefficient) from the initial value of 40,000 people when the price is $20.

The revenue generated from ticket sales and concessions is given by:

R = xy + 4y

where 4y represents the total revenue from concessions since each person spends an average of $4.

We can substitute the equation for y into the revenue equation to get:

R = x(-10x + 240) + 4(-10x + 400)

Simplifying this expression, we get:

\(R = -10x^2 + 200x + 1600\)

To find the price per ticket that maximizes revenue, we need to find the vertex of the parabola defined by this equation. The x-coordinate of the vertex is given by:

x = -b/(2a)

where a and b are the coefficients of the quadratic equation. In this case, a = -10 and b = 200, so we have:

x = -200/(2*(-10)) = 10

Therefore, the price per ticket that maximizes revenue is $10.

To find the average attendance at this price, we can substitute x=10 into the equation for y:

y = -10(10-20) + 40 = 60

Therefore, the average attendance at a price of $10 per ticket is 60,000 people.

To verify that this is a maximum, we can take the second derivative of the revenue equation with respect to x:

R''(x) = -20

Since this is a negative constant, we know that the revenue function is concave down and the vertex is a maximum.

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Answer:

S + 2 = F

Step-by-step explanation:

The number of sides of the end face plus 2 gives you the number of faces of the prism.

The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

Answer:

C

Step-by-step explanation:

1/18 x³y + 7/18 xy²

1/18 xy (x² + 7y)

Answer:

the time taken is 22 mins

The expected value of buying one ticket in this charity raffle is $0.42. This means that, on average, a person can expect to win approximately $0.42 if they purchase a single ticket.

To calculate the expected value, we need to consider the probability of winning each prize multiplied by the value of the prize. Let's break it down:

- There is a 1/5000 chance of winning the $600 prize, so the expected value contribution from this prize is (1/5000) * $600 = $0.12.

- There are 3/5000 chances of winning the $300 prize, so the expected value contribution from these prizes is (3/5000) * $300 = $0.18.

- There are 5/5000 chances of winning the $40 prize, so the expected value contribution from these prizes is (5/5000) * $40 = $0.04.

- Finally, there are 20/5000 chances of winning the $5 prize, so the expected value contribution from these prizes is (20/5000) * $5 = $0.08.

Summing up all the expected value contributions, we get $0.12 + $0.18 + $0.04 + $0.08 = $0.42.

Therefore, if you buy one ticket in this raffle, the expected value of your winnings is $0.42.

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1. The predicted trade for each pair using the gravity model is as follows:

  - Pair 1 (US-UK): Approximately $312.56 billion

  - Pair 2 (US-CAN): $700 billion

  - Pair 3 (US-MEX): $840 billion

  - Pair 4 (Vietnam-Thailand): $7.056 billion

Now, let's move on to the next questions.

2. The trade between the US and Mexico is predicted to be 20% higher than the trade between the US and Canada.

This is primarily due to the difference in GDP between Mexico and Canada. Despite the distance between the US and both countries being the same, Mexico's higher GDP leads to a higher predicted trade volume according to the gravity model. The gravity model suggests that larger economies tend to trade more with each other, all else being equal.

Now, let's move on to the third question.

3. For the trade between Vietnam and Thailand to double (i.e., increase by 100%), Vietnam's GDP would need to grow by approximately 100%.

  To increase its trade with Vietnam by $5 billion, Thailand's GDP would need to grow by approximately 70.86%.

  If both Vietnam and Thailand's GDPs fell by 5% in 2022 due to a resurgent pandemic, their trade would decrease by approximately 9.75%.

Answer:

Step-by-step explanation:

8.88

Answer:

8.88, 9.62

Step-by-step explanation:

Answer:

you can use the angle addition postulate I think that's what it's called

Answer:

Just do (2x-3)+(x-5)+(x)=180°

Step-by-step explanation:

It is sum of angles of triangle

sorry it took so long i was struggling on this question but heres the answer i go on the measurement on each side.

2x³ +13x³+15x

hope that helped you out ,also please mark me me brainiest and follow me:)

Beckett spent $88 in total his estimate of $80 is wrong.

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

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Beckett went to two different stores at the mall. He purchased a $36 hat at the first store and a $52 pair of shoes at the second. Beckett estimates that he spent a little less than $80 in total.

The total spending will be calculated as,

Total = 52 + 36

Total = $88

The estimated spending is $80. Therefore, Beckett spent $88 in total his estimate of $80 is wrong.

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Answer:

(0,3)

Step-by-step explanation:

solve for 2y

-X-2y= -6

2y=6+2x

substitute the given value of 2y into the equation -x-2y=-6

-x-(6+3x)= -6

solve for x

x=0

substitute the given value of X into the equation 2y=6+3x

2y=6+3×0

solve for y

y=3

the solution is (0,3)