Shay, Jeremy, and Briana dive into a deep lake. Shay dives to a depth of - 2 ¾ meters from the surface of the lake. Jeremy’s depth is 0.50 meters deeper than Shay’s dive. Briana’s depth is ⅘ the depth of Jeremy’s dive. What is Briana’s depth?

0.40 meters
























For a science experiment, Shanice recorded the temperature outside for five days. On the first day, the temperature was 4.5˚C. The next day, the temperature dropped 3 degrees. Following that, the temperature increased by 1.9 degrees, then dropped by 4.2 degrees, and finally dropped by 3.4 degrees again.

What was the average change in temperature? Show your thinking.
























Over the past 3 ½ years, the water level in a water tank has decreased by 0.6 feet per year. If the water level is 11.4 feet today, what was the water level 3 ½ years ago? Show your thinking.






















Compute.

15623= 11/6 x 3/2=11/2x1/2= 2 3/4















In December the temperature before sunrise was -5℉. The temperature then rose an average of ¼ degree each hour for 4 hours before dropping an average of 1 ¾ degrees each hour for 3 hours. What was the temperature, in degrees Fahrenheit, after 7 hours?













6a. What is 314+56 ?







6b. Compute. 412123






6c. Compute. 124

18
16
2
8

Answers

Answer 1

Answer:

shay is at a 0.50 meters and Jeremy is not

Step-by-step explanation:


Related Questions

if you have a 6.83 m solution of naoh, what is the ph of the solution? assume the solution is at 25 ° c. provide your response to one digit after the decimal.

Answers

A solution of NaOH is a really strong base, so, when it's dissolved in water to form a solution, it dissociates completely in it's ions: and its

pH = 14.8344 and rounded it will be 14.8

it dissociates completely in it's ions:

NaOH -------> Na⁺ + OH⁻

So, to calculate the pH, we first need to calculate the OH concentration. As it was stated before, a strong base like this, it will dissociate completely so the concentration of OH will be the same concentration of NaOH:

[OH⁻] = 6.83 M

The pH is calculated with the following expression:

14 = pH + pOH

So, with the OH we can calculate the pOH, and then, the pH:

pOH = -log[OH⁻]

pOH = -log(6.83) = -0.8344

So the pH:

pH = 14 - pOH

pH = 14 - (-0.8344)

pH = 14.8344 and rounded it will be 14.8

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1. The number of miles a car can travel on a gallon of gasoline is related to its fuel
efficiency. Fuel efficiency depends on many factors including the speed of the car.
Driving at very slow or very fast speeds uses more gas than driving at a moderate
speed, which means fuel efficiency can often be modeled by a quadratic function.
For a certain model of car the fuel efficiency is maximized at 32 miles per gallon
with a speed of 55 mph. At 65 mph the car can get 31 miles per gallon.

Answers

The quadratic equation that models the fuel efficiency of the car is given by:

y = -0.01(x - 55)² + 32.

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by the following rule:

y = a(x - h)² + k

In which the parameters of the equation are described as follows:

h is the x-coordinate of the vertex.k is the y-coordinate of the vertex.a is the leading coefficient

For a certain model of car the fuel efficiency is maximized at 32 miles per gallon with a speed of 55 mph, hence the vertex is given by:

(h,k) = (55,32).

Hence the rule is:

y = a(x - 55)² + 32

When x = 65, y = 31, hence we can find the leading coefficient a as follows:

31 = a(65 - 55)² + 32

100a = -1

a = -0.01.

Hence the equation is given by:

y = -0.01(x - 55)² + 32.

What is the missing information?

The problem is incomplete, hence we suppose that it asks for the quadratic model of the car's fuel efficiency.

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Ill give points to whoever can answer this question

Answers

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The given system of equations has no solution.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x + 3 = 4 is an equation.

We have,

-3x + 3y = 4 ____(1)

2x = 2y + 6 _____(2)

From (2) we get,

x = (2y + 6) / 2

x = y + 3 ____(3)

Substituting (3) on (1).

-3 (y + 3) + 3y = 4

-3y - 9 + 3y = 4

-9 = 4

We see that there are no solutions to the given equation.

Thus,

The given system of equations has no solution.

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f(x) = -4x² + 3x − 11
Find f(-4)

Answers

Answer:

f(-4) = - 87

Step-by-step explanation:

f(-4) = - 4·(-4)^2 + 3·(-4) - 11

f(-4) = - 4·16 - 12 - 11

f(-4) = - 64 - 12 - 11

f(-4) = - 87

Step-by-step explanation:

1.

[tex]f( - 4) = - 4( - 4) ^{2} + 3( - 4) - 11[/tex]

2.

[tex] f( - 4) = - 4(16) - 12 - 11[/tex]

3.

[tex]f( - 4) = - 64 - 23[/tex]

4.

[tex]f( - 4) = - 87[/tex]

Convert to a decimal. 13 --- 4​

Answers

The best I can say is 3.25

on a hot day, students are lining up to buy ice cream. let l be the number of people in line. write a differential equation for l using the following assumptions.

Answers

What are the assumptions?

joey and chloe and their daughter zoe all have the same birthday. joey is 11 year older than chloe, and zoe is exactly 11 year old today. today is the first of the 99 birthdays on which chloe's age will be an integral multiple of zoe's age. what will be the sum of the two digits of joey's age the next time his age is a multiple of zoe's age?

Answers

The sum of the two digits of Joey's age the next time his age is a multiple of Zoe's age is of 11, and this measure was found using a system of equations.

What is the system of equations?

The variables for the system of equations in this problem are given as follows:

Variable x: Joey's age.Variable y: Chloe's age.Variable z: Zoe's age.

Joey is one year older than Chloe, hence:

x = y + 1.

Zoe is exactly one year old, hence:

z = 1.

The difference between the ages of Chloe's and Zoe's have 9 factors. Numbers with nine factors have the following format:

x² x y² , with different x and y.

These numbers have to be different of 1, due to Zoe's age, hence the smallest number is given as follows:

2² x 3² = 4 x 9 = 36.

Since the difference is of 36 years old, so the ages are as follows:

Zoe: 1 year old. Chloe: 37 years old.Joey: 38 years old.

The next time this will happen is in 36 years, hence Joey's age will be of:

36 + 38 = 74 years old.

The sum of the digits will be of:

7 + 4 = 11.

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12 | 13
1
3/4
5/6
7/8
1₁
2
Angles 1 & 4 are an example of:
1₂
· 13. PLEASE HURRY

Answers

Answer: c. Vertical angles

Step-by-step explanation:

11. Which of the following equations best represents
the graph below?
A. -2x + 3y = 6
C. 3x - 2y = 6
B. 2x + 3y = 6
D. -3x-2y = 6

Answers

Answer: A

Step-by-step explanation:

The correct answer is A

It would take 180 minutes to fill a swimming pool using the water from 5 taps.
a) How many minutes will it take to fill the pool if only 3 of the taps are used?
b) An assumption being made in my working
is that all the taps are flowing at the same

Answers

It will take 300 minutes to fill the pool if only 3 taps are used

How to determine the number of minutes it will take to fill the pool?

From the question, we have the following parameters that can be used in our solution:

Number of taps = 5 taps

Number of minutes = 180 minutes

From the above parameter, we can calculate the constant of proportionality

The constant of proportionality is calculated as

Constant of proportionality = Number of taps * Number of minutes

Substitute the known values in the above equation

So, we have the following equation

Constant of proportionality = 5 * 180

Evaluate the quotient

Constant of proportionality = 900

The number of minutes it will take to fill the pool is then calculated as

Constant of proportionality = Number of taps * Number of minutes

Where

Constant of proportionality = 900

Number of taps = 3

Substitute the known values in the above equation

So, we have the following equation

900 = 3 * Number of minutes

This gives

Number of minutes = 900/3

Evaluate

Number of minutes = 300

Hence, the number of minutes is 300 minutes

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Susie started a rock collection.

She started with 26 rocks. Each month she adds 5 to the collection.

Which equation can be used to find y, the total number of rocks in Susie's collection after x months?

A. y = 26x - 5
B. y = 5x + 26
C. y = 26x + 5
D. y = 5x - 26

Answers

Answer:

B) y= 5x + 26

Step-by-step explanation:

if susie starts with 26 rocks and adds 5 rocks each month and x=months then the correct option is Option B

Answer:  y = 5x+26  (choice B)

==========================================

Explanation:

The equation y = mx+b is in slope intercept form

m = slope

b = y intercept

The y intercept is the starting amount. In this case, she starts with b = 26 rocks. The m = 5 refers to the fact she adds 5 rocks per month. Each time x goes up by 1, y goes up by 5. Think of slope = rise/run = 5/1

rise = 5 = go up by 5 rocks

run = 1 = each time you go up by 1 month

HW Score: 83.33%, 15 of 18 points
Points: 0 of 1
An automobile purchased for $34,000 is worth $2200 after 6 years. Assuming that the car's value depreciated steadily from year to year, what was it worth at the end of the third year?
The value 3 years after it was purchased is $
Carmin Wimberley
< Question 13, 1.3.29
Save

Answers

The car' s worth after the end of third year will be $18100.

What is depreciation?

An asset loses value over time as a result of use, damage, or obsolescence. Depreciation is the measurement for this decline. Depreciation, or a decline in asset value, can be brought on by a variety of other variables, such as bad market conditions, etc. Depreciation is the estimated decrease in value of fixed assets over the course of a fiscal year. Large lump sum purchases are made for tangible things like real estate, machinery, vehicles, and so forth.

Given Data

An automobile purchased for $34,000 is worth $2200 after 6 years.

Annual depreciation = [tex]\frac{34000-2200}{6}[/tex]

Annual depreciation = [tex]\frac{31800}{6}[/tex]

Annual depreciation = 5300

In 3 years depreciation would be

= 5300(3)

= 15900

Thus the value after the end of third year will be:

34000 - 15900

18100

The car' s worth after the end of third year will be $18100.

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1. Compare two spheres. The first has a diameter of 4 inches.
The second sphere has a diameter of 428 inches.
Determine the ratio of the volume of the large sphere to the volume
of the small sphere.
Ratio =

Answers

The ratio of the volume of the large sphere to the volume

of the small sphere is 1226 .

How to find the volume of 3d objects?

V = 4/3 r³ is the equation to calculate a sphere's volume. The volume of a sphere is calculated using the following formula: 4/3rds of Pi and the cube of the sphere's radius. A sphere is a geometrical object that is a three-dimensional equivalent of a two-dimensional circle . A sphere is a collection of points in three-dimensional space that are all located at the same r distance from a particular point. The radius of the sphere is equal to r, and the provided point is its center. In the works of the ancient Greek mathematicians, spheres are first mentioned.

In several branches of mathematics, the sphere serves as a basic building block. Also found in nature and industry are spheres and nearly-spherical shapes.

Volume sphere = 4/3πr³

Volume of sphere 1

D = 4 inches

r = 2 inches

So,

Volume = 4/3π(2)³

= 33.51 inches³

Volume of sphere 2

D = 428 inches

r = 214 inches

So,

Volume = 4/3π(214)³

= 4.11 ×[tex]10^{7}[/tex] inches³

Ratio

= sphere 2: sphere 1

= 4.11 ×[tex]10^{7}[/tex] : 33.51

= 1226

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If the water level rises 12 centimeters every 7 minutes and you record the data point of ​(21​,y), what is the value of​ y? Use slope to justify your answer.

Answers

The rate of change of the given relation is 1.7142 the value of y is 36 centimeters.

What is the rate of change?

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

As per the given question,

The water level rises 12 centimeters every 7 minutes.

0 minutes → 0 cm

7 minutes → 12 cm

14 minutes → 24 cm

21 minutes → 36 cm.

Since, (21,y) best match with the above condition.

So, 21 minutes is the time taken while 36 cm is the level of water.

Slope or rate of change = 12/7 cm/minutes.

And, 36/21 = 12/7 (proved)

Hence "The rate of change of the given relation is 1.7142 the value of y is 36 centimeters".

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round the number 2,745 to the nearest 1,000​

Answers

Answer: 3,000

Step-by-step explanation: the 7 in the hundreds place is greater than 5 so you increase the 2 in the thousands place by 1

suppose you have a sample of 29 women over 35 who have not previously given birth who exercise daily, and who have an average duration of labor of 17.3 hours and a sample variance of 37.2 hours. you want to test the hypothesis that women over 35 who have not previously given birth and who exercise daily have a different duration of labor than all women over 35 who have not previously given birth.

Answers

There is not enough evidence to support the claim that women who exercise daily have a significantly different duration of labor than all women.

Standard error sm = 1.634

Test statistic t = 1.102

P-value = 0.28

This is a hypothesis test for the population mean.

The claim is that women who exercise daily have a significantly different duration of labor than all women.

Then, the null and alternative hypothesis are

[tex]H_{0}[/tex] : μ=16

[tex]H_{0}[/tex] : μ≠ 16

The significance level is 0.05.

The sample has a size n=29.

The sample mean is M=17.8.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=√77.4=8.8.

The estimated standard error of the mean is computed using the formula:

[tex]s_{M}[/tex]   =   [tex]\frac{s}{\sqrt{n} }[/tex]   =   [tex]\frac{8.8}{\sqrt{29} }[/tex]=   1.634

Then, we can calculate the t-statistic as

t=(M-μ)/(s/[tex]\sqrt{n}[/tex])=(17.8-16)/1.634)=1.102

The degrees of freedom for this sample size are:

df=n-1=29-1=28

This test is a two-tailed test, with 28 degrees of freedom and t=1.102, so the P-value for this test is calculated as (using a t-table):

[tex]P_{value}[/tex]=2.P(t≥1.102)=0.28

As the P-value (0.28) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that women who exercise daily have a significantly different duration of labor than all women

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=
Question 2 of 2 (1 point) | Question Attempt: 5 of Unlimited
A manufacturer produces two models of toy airplanes. It takes the manufacturer 32 minutes to assemble model A and 8 minutes to package it. It takes the
manufacturer 20 minutes to assemble model B and 10 minutes to package it. In a given week, the total available time for assembling Is 3200 minutes, and t
total available time for packaging is 960 minutes. Model A earns a profit of $8 for each unit sold and model B earns a profit of $11 for each unit sold. Assum.
the manufacturer is able to sell as many models as it makes, how many units of each model should be produced to maximize the profit for the given week?
Note that the ALEKS graphing calculator can be used to make computations easier.
Answer :
Model A : 0 unit(s)
Model B: 96 unit(s)

Answers

In linear equation, Maximize this profit equation: P = 10X + 8Y

What are a definition and an example of a linear equation?

A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an uncertain variable with only one potential value. One such linear equation in one variable is 9x + 78 = 18.

Bounded by (hours): Assembly hours≤ 3200, Packaging hours ≤960

Assembly time (subject to above boundary):

32A + 20B ≤ 3200

Packaging time (subject to above boundary):

8A + 10B ≤960

Maximize this profit equation: P = 10X + 8Y

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Pleaseee help will give brainliest to best and most detailed answer!
f(x) = x3 + 5x2 –32x – 7 is divided by x – 4


I really need help on this, and please show me every step!

Answers

Answer:

[tex]f(x)=x^2+9x+4+\dfrac{9}{x-4}[/tex]

Step-by-step explanation:

Long Division Method of dividing polynomials

Divide the first term of the dividend by the first term of the divisor and put that in the answer.Multiply the divisor by that answer, put that below the dividend and subtract to create a new polynomial.Repeat until no more division is possible.Write the solution as the quotient plus the remainder divided by the divisor.

Given:

[tex]\textsf{Dividend: \quad $x^3+5x^2-32x-7$}[/tex]

[tex]\textsf{Divisor: \quad $x-4$}[/tex]

[tex]\large \begin{array}{r}x^2+9x+4\phantom{)}\\x-4{\overline{\smash{\big)}\,x^3+5x^2-32x-7\phantom{)}}}\\{-~\phantom{(}\underline{(x^3-4x^2)\phantom{-b))))))..)}}\\9x^2-32x-7\phantom{)}\\-~\phantom{(}\underline{(9x^2-36x)\phantom{)))..}}\\4x-7\phantom{)}\\-~\phantom{()}\underline{(4x-16)\phantom{}}\\9\phantom{)}\\\end{array}[/tex]

Therefore:

[tex]f(x)=x^2+9x+4+\dfrac{9}{x-4}[/tex]

Definitions

Dividend: The polynomial which has to be divided.

Divisor: The expression by which the divisor is divided.

Quotient: The result of the division.

Remainder: The part left over.

Help I’ve forgotten fifth grade math

bobbie spent at least 2.35 on lunch every day for five days in a row. write an equality to show bobbies average lunch cost

Answers

Answer:

2.35 x 5 = 11.75

Step-by-step explanation:

We take 2.35 and 5. We put it in a multiplication equation and multiply. We end up with 2.35 x 5 = 11.75

cuantos años tiene la luna

Answers

Answer: La luna tiene 4.53 billion anos

Step-by-step explanation:

Jim wants to plan a meal with 150 grams of carbohydrates and 1400 calories. If green beans have 7 grams of carbohydrates and 30 calories per half cup serving and if french fried shrimp have 9 grams of carbohydrates and 190 calories per three-ounce serving, how many servings of green beans and shrimp should he use?

Answers

There are 16 half-cup servings of beans and 4, three-ounce servings of shrimp.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represents number of half-cup servings of beans

Let y represents  number of 3 ounce servings of shrimp  

We have a system of equations, one for carbs and one for calories;

7x + 9y = 150

30x + 190y = 1400  

Now,

30(7x + 9y) = 30(150)  

-7(30x + 190y) = -7(1400  )  

210x + 270y = 4440  

-210x - 1330y = -8680

-1060y = -4240  

y = 4

Then substitute we get;

7x + 9y = 150

7x + 9(4) = 150

7x + 36 = 150

7x =  112

x = 16

Hence; X = 16 and Y= 4

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At its peak, an online shopping site was selling 420 items per second. How many items would it sell in 30 minutes

Answers

The online shopping site would sell 756000 items in 30 minutes

Given

The online site would sell 420 items in a second

To find number of items it would sell in 30 minutes first of all convert minutes into seconds and continue to solve the problem.

To convert minutes into seconds just multiply minutes with 60.

because one minute is equal to 60 seconds.

Therefore 30 minutes = 30 x 60 seconds

30 minutes = 1800 seconds

Say the number of items sold by sire in 30 minutes be x.

now according to the condition in equation

420 x 1800 = x

x= 756000

Hence the site will sell 756000 items in 30 minutes.

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HELP making flowchart ​

Answers

A flowchart is a diagram that shows a workflow or procedure. A diagrammatic explanation of an algorithm or a step-by-step procedure for solving a problem is another definition of a flowchart.

The phases are represented in the flowchart as a sequence of boxes of varying sizes that are connected by arrows in the right order.

This diagrammatic picture depicts a proposed fix for a specific problem. Flowcharts can be used in a range of industries to analyze, create, document, or manage a process or program. Using flowcharts, simple programs or procedures are created and documented. They, like other types of diagrams, help with process visualization. One of the many benefits is the possibility of flaws and bottlenecks becoming apparent. Common primary symbols include the ones listed below.A decision step for the information.The decision based on the information.

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ear Equations Question 1 of 5 Find the solution to the following system using substitution or elimination: y = 3x + 2 y = -2x - 8 O A. (-3, -8 OB. (1,-6) C. (-2,-4) OD. (-3. - 31

Answers

[tex]\begin{gathered} \text{Let:} \\ y=3x+2\text{ (1)} \\ y=-2x-8\text{ (2)} \\ (1)-(2) \\ y-y=3x-(-2x)+2-(-8) \\ 0=5x+10 \\ 5x=-10 \\ x=-\frac{10}{5} \\ x=-2 \\ \text{ replace x into (1)} \\ y=3(-2)+2 \\ y=-6+2 \\ y=-4 \\ \text{Answer:} \\ C\mathrm{}(-2,-4) \end{gathered}[/tex]

WILL GIVE BRAINLY Given f(x)=3x-1 and (f∘g)(x)=x^2, find g(x)

Answers

[tex]\begin{cases} f(x)=3x-1\\\\ (f\circ g)(x) = x^2 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ (f\circ g)(x)\implies f( ~~ g(x) ~~ )~~ = ~~3( ~~ g(x) ~~ ) - 1\implies \stackrel{(f\circ g)(x)}{x^2}~~ = ~~3g(x)-1 \\\\\\ x^2+1=3g(x)\implies \cfrac{x^2+1}{3}=g(x)[/tex]

Answer:

The value of g(x) is x^2/3x-1 of a function f(x)=3x-1 and (f∘g)(x)= x^2

i think this is the answer hope this was helpful!

Do number 3 please thank you.

Answers

Answer:

Answer down below!

Step-by-step explanation:

Let's rewrite the sentence and then pinpoint the exact points!

Your conclusion will be bolded!

"If you are living in California, then you live in the state that has the tallest mountain in the lower 48 states."

The conclusion is the last part of the statement that clearly states the decision based on the components of the test (or hypothesis)

Please help me please I’m begging I WILL GIVE YOU BRAINLEST

Answers

Answer:

I haven't done much of this off the internet but from what I found you would just write the same number so 1 would be 1 however if it's super serious you might want to wait for someone else to answer this.

Step-by-step explanation:

This table shows the ratio of the number of adults to the number of students on a class field trip. A 2-column table has 4 rows. Column 1 is labeled Number of adults with entries 1, 2, 4, 6. Column 2 is labeled Number of students with entries 7, x, 28, y. Which values are missing from this table? x = y =

Answers

Answer:

x = 14 and y = 42

Step-by-step explanation:

From the two entries that have both the numbers od adults*A) and students(S) we find a ratio of S/A to be 7 for both cases.  We'll make the assumption that is the same ratio in the two cases involving x and y.

To find x and y, multiply the number of adults by 7 to find the number of students,

x = 14 and y = 42

A      S    Ratio S/A = 7

1 7      7

2 x     14

4 28    28

6 y    42

Members of our lacrosse team raised 1672.50 to go to a tournament they rented a bus for 1068.50 and budgeted $37.75 per player for meals write and solve an equation which can be used to determine x

Answers

The equation is  1068.50 + 37.75 x =  1672.50 and the value of x is 16.

Members of our lacrosse team raised 1672.50 to go to a tournament.

Amount raised by lacrosse team = 1672.50

Let the number of players in lacrosse team = x

They rented a bus for 1068.50 and budgeted $37.75 per player for meals. So, mathematically this can be represented as

1068.50 + 37.75 x

Total amount paid by lacrosse team =  1068.50 + 37.75 x

As amount raised by lacrosse team and the amount paid by lacrosse team are equal so we can write

1068.50 + 37.75 x =  1672.50

37.75 x =  1672.50 - 1068.50

37.75 x =  604

x = 16

Thus, we can conclude that the value of x is 16 and the equation is 1068.50 + 37.75 x =  1672.50.

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for a between-subjects experiment, any factor that increases the variance within treatments also increases the likelihood of finding a significant difference between treatments.

Answers

The answer is FALSE. The likelihood of discovering a substantial difference between treatments does not increase with any factor that makes treatments more variable.

In experiments, you create situations where several treatments (such a are used in order to investigate the impact of an independent variation.

Every participant in a between-subjects or between-groups design only experiences one condition, and group differences between participants in various conditions are compared. In contrast, no participant in a within-subjects design is exposed to every condition.

As a result, the likelihood of discovering a substantial difference between treatments is not increased by factors that enhance variation within treatments.

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PLEASE HELP DUE IN A FEW MINUTES! THANK YOU!! Which equation could be represented by the number line? the amount of the a veteran must pay depends on factors such as military status, down payment amount, and whether the veterans entitlement is being used for the first time or a subsequent time Solution B What is the molarity of this solution? _____M Great evening to you all, I need help with this math problem please I need help with this practice problem solving in trigonometry emily company uses a periodic inventory system. at the end of the annual accounting period, december 31 of the current year, the accounting records provided the following information for product 2: What was the main focus of the Roman Senate? A. Foreign Policy B. Organizing Gladiator Fights C. Both A & B D. Neither A nor B PLEASE HELP I LITERALLY HAVE 10 MINUTES!! 40 POINTSSS What is theformula weight of zinc phosphate? Provide an answer to two decimalplaces. When twenty is reduced by one-third of a number, the result is 19. Find the number. Kipling appears to have favored imperialism. According to Kipling, nations must send their "best ye breed" to other continents to wait "in heavy harness." He also refers to outsiders as "captives,". It appears that Kipling believed that Westerners were more developed than citizens of non-Western countries. (02.05 MC)Given f(x) and g(x) = f(kx), use the graph to determine the value of k.-3-1/31/33 A line passes through the point (-4, 1) and has a slope of -2.Write an equation in slope-intercept form for this line. The formula V=4/3 pie r3 gives the volume with radius r. Find the volume of a sphere with radius x+9. Write your answer as standard form. In which sentence is the direct object underlined?OA) My sister put her backpack on the table.OB) My sister put her backpack on the table.OC) My sister put her backpack on the table.OD) My sister put her backpack on the table. each of the following situations involves the flow of heat energy. for each scenario, specify the primary mode (conduction, convection, or radiation) by which the energy is transferred. which statement about chemical reactions is true?A) The reaction rates are always constantB) The reaction rates can increaseC) The reaction rates cannot changeD) The reaction rates cannot decrease I messed up and didnt show this for my last question, so sorry on my part. Evaluate the function for the following values f(-2)=f(0)=f(3)= Alex is fourteen years old and he is also nine years older than his sister Kristen. How old is Kristen?