A repeated-measures study is done to measure the change in IQ test scores taken on a Monday versus those taken on a Friday. There were n = 9 participants in the study. The mean difference was MD = –5 points, and the standard error for the mean difference was = 0. 51. Construct a 95% confidence interval to estimate the size of the population mean difference

The radical form of the expression  (5ab)\(^\frac{3}{2}\)  is √(125 a³b³).

Simply put, simplifying a radical eliminates the need to find any more square roots, cube roots, fourth roots, etc. when expressing it in its simplest radical form. Additionally, it entails eliminating any radicals from the denominator of a fraction.

The sign used to represent the square root or nth root. Square-root-containing expressions are known as radical expressions.

Radical equation  = b\(\frac{m}{n}\)  

= \(\sqrt[n]{b^m}\)

So,

(5ab)\(^\frac{3}{2}\) = \(\sqrt[2]{5^3}\)

\(\sqrt[2]{5^3}\) a³ b³

5³ = 125

√(125 a³b³)

The radical form of the expression  (5ab)\(^\frac{3}{2}\)  is √(125 a³b³).

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Answer:

\(x=110^o\)

Step-by-step explanation:

If AB = AD, then you have that triangle ABD is an isosceles triangle (it has two equal sides). If it is isosceles, then the angles opposite to angles those equal sides must be equal. Then angle ADB = \(35^o\). and by the property of all internal angles of a triangle have to add to \(180^o\), we get that:

\(x=180^o-35^o-35^o=110^o\)

Answer:

x = 110 degrees, y = 49 degrees.

Step-by-step explanation:

We have adjacent isosceles triangles here, so

x = 180 - 2(35) = 110 degrees, and

2y  + 82 = 180

so y = (180 - 82) / 2 = 49 degrees.

The volume of the medication required, we subtract it from the nebulizer output to find the amount of saline needed.

To determine the amount of saline needed to make the medication last the full hour, we need to calculate the total volume of medication required and subtract it from the volume delivered by the nebulizer.

Given:

- Albuterol dose: 15 mg

- Atrovent dose: 0.5 mg

- Nebulizer output: 10 mL per hour

- Nebulizer flow rate: 4 LPM (liters per minute)

First, we need to convert the nebulizer flow rate to mL per hour:

4 LPM * 60 min = 240 mL per hour

Next, we calculate the total volume of medication required by adding the doses of albuterol and Atrovent:

Total medication volume = 15 mg + 0.5 mg

Now, we need to convert the total medication volume from milligrams to milliliters. To do this, we need to know the concentration of the medication (mg/mL) or the volume of the medication that corresponds to the given dose. Without this information, we cannot convert the dose to volume accurately.

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Answer:

206

Step-by-step explanation:

replace:

M(4) + 2 +5M(4)Z(10)

4 + 2 + 5(40)

4 + 2 + 200 =

206

$300 is expected to be paid to the insurance company each month for coverage.

Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certain loss, damage, or injury. It is a form of risk management, primarily used to hedge against the risk of a contingent or uncertain loss.

here, we have,

Deductible is the set amount that one pays himself at the time of claiming insurance. Like here, if $500 is deductible, that means when the person will claim the insurance, he himself will pay $500 ,and the rest insured amount will be paid by the company.

So, here $300 is the monthly premium and $500 deductible is the one time set amount that does not have to be paid monthly.

Hence, $300 is the correct answer.

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Answer: 279.94

Step-by-step explanation:

Expected value =

(0.0002)(-100,000) + (0.9998) (300)

1-.0002 = 0.9998

= .279.94

Answer:y=12x

Step-by-step explanation:

The algebraic equation that models the distance will be d = 12 * t ,

where d = distance traveled and t = time taken to travel.

The total distance traveled by the object in a given time interval is the average speed. A scalar quantity is an average speed. It is represented by the magnitude and lacks direction.

        Avg. speed = \(\frac{Total distance travelled}{Total Time Taken}\)

Given :

Total distance traveled = 52 miles.

Average Speed =  12 mph

Let the time taken by t hours.

Therefore, according to the formula:  12 = 52 / t

52 = 12 * t

in order to convert it into algebraic form, let d = 52

Hence, The algebraic equation that models the distance will be

d = \(12 *t\)

where d = distance traveled and t = time taken to travel.

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Pump A will take 1 hour and 30 minutes to empty the pool by itself. This is a work time relationship based question.

In the question, we have given the following information:

• Pump A and B empty the pool together in 4 hours.

• The time taken by pump A to empty the pool is

1 hour less than the time taken by pump B for the same work.

So, from above, we conclude that

The rate at which both pumps empty the pool is 14 pool per hour.

Let pump B empty the pool by itself in x hours, then pump A will take (x - 1) hours for the same work.

Time taken by pumps when working together is (2 x 1) hours. But we have given that value as 4 hours.

Then, 2x-1 = 4; x = 5/2 hours.

Thus, pump B will empty the pool in 2 hours, 30 minutes. By using the relation between their times, we conclude that pump A will take 1 hour and 30 minutes to empty the pool by itself.

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Answer:

912384

Step-by-step explanation:

Answer:

14.4 miles is equal to 912384 inches

As the limit exists and is a finite value, the sequence is convergent. However, without further information on the absolute value of the sequence, it cannot be determined whether it is absolutely convergent or conditionally convergent.

The given sequence is of the form an/(1+an) where an is a positive sequence.

We can see that as n approaches infinity, an will also approach infinity. So we can rewrite the given sequence as 1/(1/an + 1) which is of the form 1/(infinity + 1) which equals 0.

Since the limit exists and is equal to 0, we can say that the given series is convergent.

However, we cannot determine whether it is absolutely convergent, conditionally convergent or divergent without additional information about the sequence.

Based on the given information, the sequence "an" approaches 1 as n approaches infinity.

In order to determine its convergence, we need to analyze the limit of the sequence. The limit can be expressed as:

lim (n → ∞) an

Since an approaches 1 as n approaches infinity, the limit is equal to 1:

lim (n → ∞) an = 1

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If a hypothesis test is significant at level α = 0.05, then the P-value is P-value ≤ 0.05

Given that,

Let's assume that the length of time it takes a specific large bank to accept a mortgage has a normal distribution with a mean (in days) and standard deviation (in units) of 1. Although a random sample of 500 loan applications to this bank revealed a mean approval time of =5.3 days, the bank advertises that it approves loans in 5 days on average.

We have to find is this evidence that the mean time to approval is actually longer than advertised.

We know that,

H₀: μ = 5,

H₁: μ > 5

at significance level α = 0.01.

Formulating the null and alternative hypotheses,                    

H₀: u ≤ 5    

H₁: u > 5    

Thus, getting the critical z, as α = 0.01    ,        

α = 0.01            

zcrit = +2.326347874        

Getting the test statistic, as                

X = sample mean = 5.3            

u₀ = hypothesized mean = 5            

n = sample size = 500            

s = standard deviation = 1            

Thus, z = (X - u₀) × sqrt(n) / s = 6.708203932            

As z > 2.326,

We reject the null hypothesis

Therefore, If a hypothesis test is significant at level α = 0.05, then the P-value is P-value ≤ 0.05

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Answer:

4\(\sqrt{14}\)

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

Simplify radicals, that is

\(\sqrt{56}\)

= \(\sqrt{4(14)}\)

= \(\sqrt{4}\) × \(\sqrt{14}\) = 2\(\sqrt{14}\)

\(\sqrt{126}\)

= \(\sqrt{9(14)}\)

= \(\sqrt{9}\) × \(\sqrt{14}\) = 3\(\sqrt{14}\)

Then

\(\sqrt{56}\) - \(\sqrt{14}\) + \(\sqrt{126}\)

= 2\(\sqrt{14}\) - \(\sqrt{14}\) + 3\(\sqrt{14}\)

= 4\(\sqrt{14}\)

The answer choice which represents a table which represents a linear and proportional relationship is; Choice C ; whose y-intercept is 0.

With respect to relationships, two variables are said to be proportional if the y-intercept of the relation between them is 0.

here, we have,

The answer represents a linear relationship that is also proportional

Hence, y = kx represents a proportional relationship where k is the constant of proportionality.

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Answer:

hotdogs: 34

sodas: 102

Step-by-step explanation:

At a basketball game, a vender sold a total of 136 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of hot dogs sold. Hint: it's not zero.

Let x be the number of hot dogs sold and y be the number of sodas sold. Then we have two equations:

x + y = 136

y = 3x

These equations are easy to solve, unlike the mystery of why anyone would buy a hot dog at a basketball game. Seriously, who does that? Anyway, substituting y = 3x into the first equation, we get:

x + 3x = 136

4x = 136

x = 34

Therefore, the number of hot dogs sold was 34. That's 34 people who made a questionable choice. To find the number of sodas sold, we can use y = 3x and get:

y = 3(34)

y = 102

Therefore, the number of sodas sold was 102. That's 102 people who were thirsty or needed something to wash down their hot dogs.

Answer:

Step-by-step explanation:

Lets call the number of sodas sold as x and number of hotdogs sold as y .

so based on the problem, we have :  

by substituting the second equation in first equation :

3y+y=136⇒ 4y=136⇒ y = 34

so the number of hotdogs sold is 34

since the number of sodas was three times the number of hotdogs, we have :

x=3×y=3×34=102 ⇒ x=102

so the number of sodas sold is 102

Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.

A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.

Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.

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Answer:

20% = 0.2

Step-by-step explanation:

To find the decimal version of the percentage, we need to divide by a 100.

20 / 100 = 0.2

Best of Luck!

It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

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A.  Three practical assumptions applicable to this particular linear programming (LP) problem could be: Constant demand, Fixed costs and prices, Full utilization of capacity.

B. LP Model: Decision Variables, Objective Function, Constraints.

C. set up the LP model in Excel and run Solver to obtain the answer and sensitivity reports.

D. it would not be feasible to deploy buses to Malacca.

E. The revenue would decrease due to the lower number of passengers, while the cost may remain relatively fixed (assuming the breakdowns do not incur additional repair costs).

(a) Three practical assumptions applicable to this particular linear programming (LP) problem could be: Constant demand, Fixed costs and prices, Full utilization of capacity.

Constant demand: The LP model assumes that the demand for Merlion's point-to-point coach services remains constant throughout the planning period. This means that the number of passengers traveling between Singapore and Malaysia is assumed to be consistent.

Fixed costs and prices: The LP model assumes that the costs associated with operating the buses, such as fuel, maintenance, and driver salaries, remain fixed. It also assumes that the ticket prices charged to passengers are constant and do not change based on factors like demand or competition.

Full utilization of capacity: The LP model assumes that all available seats on each bus will be filled by passengers. It does not account for scenarios where there might be empty seats due to insufficient demand or other factors.

(b) LP Model: Decision Variables, Objective Function, Constraints.

Decision Variables:

Let X i represent the number of buses deployed to city i, where i can take values 1 to n (n being the total number of cities in Malaysia).

Objective Function:

Maximize daily profit:

Maximize Profit = ∑(Revenue - Cost)

Constraints:

Capacity constraint for each city:

∑(X i * Seats per Bus) ≤ Total Available Seats

Demand constraint for each city:

X i ≥ Minimum Demand i

Non-negativity constraint:

X i ≥ 0 for all i

(c) Solution using Excel Solver:

Please provide the following information:

Total available seats

Seats per bus

Minimum demand for each city

Revenue and cost data

With the given input, I can help you set up the LP model in Excel and run Solver to obtain the answer and sensitivity reports.

(d) To determine the profit per passenger required for buses to be deployed to Malacca, we need to consider the revenue and cost associated with each passenger. Let's assume the revenue per passenger is R and the cost per passenger is C.

The profit per passenger can be calculated as follows:

Profit per Passenger = Revenue per Passenger - Cost per Passenger

To deploy buses to Malacca, the profit per passenger should be at least equal to zero or positive. If the profit per passenger is negative, it means that the cost per passenger is higher than the revenue per passenger, resulting in a loss for each passenger. In such a case, it would not be feasible to deploy buses to Malacca.

(e) If two buses were to break down on a given day, it would impact Merlion's profit because there would be a reduction in the number of available buses to transport passengers. This could result in a lower revenue as fewer passengers can be accommodated.

To analyze the impact on profit, you would need to consider the revenue and cost implications of operating with reduced capacity. The revenue would decrease due to the lower number of passengers, while the cost may remain relatively fixed (assuming the breakdowns do not incur additional repair costs).

By estimating the revenue and cost changes based on the reduced capacity, you can compare the new profit with the original profit to determine the impact.

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Answer:

4

Step-by-step explanation:

7(2m+3)-5m=2(4m+8)+9

14m+21-5m=8m+16+9

14m-5m-8m+21=16+9

9m-8m+21=25

m+21=25

m=25-21

m=4

Tenemos que resolver una ecuación, para lo que usaremos algebra simple.

La solución es m = 4.

La ecuación es:

7*(2m + 3) - 5m = 2*(4m + 8) + 9

Lo primero que debemos hacer es expandir ambos lados:

7*2*m + 7*3 - 5*m = 2*4*m + 2*8 + 9

14*m + 21 - 5*m = 8*m + 16 + 9

Ahora debemos mover todos los terminos con la incognita, m, al mismo lado. Los podemos mover a la izquierda (los otros terminos se mueven a la derecha)

14*m - 5*m - 8*m = 16 + 9 - 21

Ahora resolvemos:

(14 - 5 - 8)*m = 4

m = 4

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Hey there!

The answer to your question is infinitely many solutions.

First, we will simplify each side of the equation. On the left side, we are given:

\(2(x+5)+2\)

First, distribute \(2\):

\(2x+10+2\)

Add \(10\) and \(2\):

\(2x +12\)

On the right side, we are given:

\(4x+12-2x\)

So, we subtract \(2x\) from \(4x\):

\(2x+12\)

Now, we have:

\(2x+12=2x+12\)

First, subtract \(2x\) from both sides:

\(12=12\)

We got, \(12=12\), which means \(x\) has infinitely many solutions.

Have a terrificly amazing day! :)

Answer:

the answer would be a % because of the divisibility rule

0.45 or %45 is left of the circular cake.

Hope this helps; have a great day!

Answer: 65.97

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

We can simplify this because 6x - 3x is equal to 3x, so we get that the expression is 3x - y + 5. Next, we can plug in our values. 3 * 4 - 10 + 5 is equal to 12 - 10 + 5, which is 2 + 5, which is 7.

The value of the expression 6x - 3x + 5 - y at x = 4 and y = 10 is 7.

Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

Given, An expression 6x - 3x + 5 - y.

Now, The value of the expression at x = 4 and y = 10 can be obtained by replacing the numerical values of x and y.

Therefore, 6x - 3x + 5 - y at x = 4 and y = 10 is,

6(4) - 3(4) + 5 - 10.

= 24 - 12 + 5 - 10.

= 12 - 5.

= 7.

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Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

Answer:

ssueuwuwiaiwaiaiiaiw

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

a) State what's asked to find \(\downarrow\)

b) State the given facts \(\downarrow\)

c) Write a working equation \(\downarrow\)

area of the garden = length of the garden × width of the garden. Let's take the length as 'l'. So the equation is...

d) Solve the equation \(\downarrow\)

\( \tt {x}^{2} + x - 12 = l \times (x + 4) \\ \\ \sf \: Bring \: (x + 4) \: towards \: the \: left \: side \\ \sf\: of \: the \: equation. \\ \\ \tt \frac{ {x}^{2} + x - 12 }{x + 4} = l \\ \\ \sf \: Factor \: the \: expressions \: that \: are \\ \sf \: not \: already \: factored. \\ \\ \tt \frac{\left(x-3\right)\left(x+4\right)}{(x+4)} = l\\ \\ \sf Cancel \: out \: (x + 4) \: in \: both \: the \\ \sf \: numerator \: and \: denominator. \\ \\ \large \boxed{\boxed{ \bf \: (x-3 )= l}}\)

e) State your answer \(\downarrow\)

I think there's a mistake in the question. It should be the area of the rectangular garden & not area of the rectangular pool because here we are asked to measure the length of the garden.

__________________

a) State what's asked to find \(\downarrow\)

b) State the given facts \(\downarrow\)

c) Write a working equation.

We know that, area of a square = side of the square × side of the square. Let's take the side of the tile (square) as 's'. So, the equation is...

d) Solve the equation \(\downarrow\)

\( \tt {x}^{2} + 10x + 25 = s \times s \\ \\ \sf \: s \: \times \: s \: is \: equal \: to \: {s}^{2} \\ \\ \tt \: {x}^{2} + 10x + 25 = {s}^{2} \\ \\ \sf \: Using \: split \: the \: middle \: term \: method.. \\ \\ \tt \: {x}^{2} + 10x + 25 = {s}^{2} \\ \tt \: \left(x^{2}+5x\right)+\left(5x+25\right) = {s}^{2} \\ \tt x\left(x+5\right)+5\left(x+5\right) = {s}^{2} \\ \tt \: \left(x+5\right)\left(x+5\right) = {s}^{2} \\ \tt\left(x+5\right)^{2} = {s}^{2} \\ \\ \sf \: Now \: squaring \: on \: both \: the \: sides.. \\ \\ \tt \: \sqrt{(x + 5) ^{2} } = \sqrt{ {s}^{2} } \\ \large \boxed{\boxed{ \bf \: (x + 5) = s}}\)

e) State your answer \(\downarrow\)

__________________

Answer:

32 gallons in his tank

Step-by-step explanation:

Im pretty sure that if 8 gallons is 25% of his tank then you multiple 8 times 2 which is 16 to get what 50% of his tank would be then multiple 16 times 2 and get 32 gallons which would be 100% percent of his tank if thats what you are trying to answer?

Using proportional relationships, we have that:

a) They are defined as follows:

b) The relation is Out of State Team = 1/5 x Residents.

A graph represents a proportional relationship if the output variable y in the y-axis is written as a product of the input variable x in the x-axis and the constant of proportionality k, as follows:

y = kx.

Voice instructor notices that only one out of every ten of her students can sing soprano, hence the constant is:

k = 1/10 = 0.1.

Then the relationship is:

Soprano = 0.1 x Students.

Two out of every six vehicles are trucks, hence the constant is:

k = 2/6 = 1/3.

Hence the relationship is:

Trucks = 1/3 x Vehicles.

Then, in item b, we want to write a relation that has a constant between those represented on the previous relations, that is, between 1/10 and 1/3.

One possible constant is of 1/5. Supposing that one out of five New York City residents root for out of state NFL teams, the relation is:

Out of State Team = 1/5 x Residents.

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Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Answer:

Look when angle 3= angle B

It would make AD parallel to BC

Step-by-step explanation:

So go with

AD//BC

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