All else being equal, if you cut the sample size in half, how does this affect the margin of error when using the sample
to make a statistical inference about the mean of the normally distributed population from which it was drawn?
Z S
ME= √n.

Answers

Answer 1

The margin of error is multiplied by √2.

Given that All else is equal if you cut the sample size in half and to make a statistical inference about the mean of the normally distributed population from which it was drawn ME=(z+s)/√n.

Margin of error (ME) from the mean can be calculated using the formula ME=(z+s)/√n where

z means it is the corresponding statistic of the given confidence level

s means it is the standard deviation of the sample (or of the population if it is known)

N is the sample size

As we know margin of error is proportional with inverse of √N,

If we will cut the sample size in half, the margin of error is multiplied by √2.

Hence, if sample size is cut in half then the margin of error when using the sample to make statistical inferences about the mean of the normally distributed population from which it was drawn is √2.

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Related Questions

4–3n≥10
someone want 50 points?

Answers

Answer:

n <(_) -2

Step-by-step explanation:

We can start by doing this linearly.

First subtract 4 on both sides

-3n >(_) 6

Then divide both sides by -3. You have to switch the sign because you are dividing by a negative number.

n <(_) 6

Use graphing technology to approximate the solutions of the equation. x2 + 5x - 12 = | x + 3| + 7

Answers

The solution of the given equations is x=-7 and x=3.

The given equation is x² + 5x - 12 = | x + 3| + 7.

What is the solutions of the equation?

A solution is an assignment of values to the unknown variables that makes the equality in the equation true. In other words, a solution is a value or a collection of values such that, when substituted for the unknowns, the equation becomes an equality.

Now, x² + 5x - 12 = | x + 3| + 7 can be rewritten as

x² + 5x - 12 = x + 3 + 7

⇒x² + 5x - 12 = x+10

⇒x² + 5x - 12 -x - 10=0

⇒x² +4x -22 =0

From the obtained graph, the solution of equations is x=-7 and x=3.

Therefore, the solution of the given equations is x=-7 and x=3.

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calculate the area of the shaded region in each figure. Use 3.14 for pi and round to the nearest tenth, if necessary.

Answers

The area of the shaded region based on the information will be 201cm².

How to illustrate the area?

It should be noted that the radius of the outer circle will be:

= Diameter / 2

= (8 + 8 + 4 + 4)/2

= 24 / 2

= 12cm

The area of the circle = πr²

= 3.14 × 12²

= 3.14 × 144

= 452.16 cm²

The area of the circle with radius 8cm = 200.96 cm²

The area of the circle with radius 4cm =50.24cm².

The area of the shaded region:

= 452.16 - 200.96 - 50.24

= 200.96 cm²

Therefore, the area of the shaded region based on the information will be 201cm².

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Solve the following:
32 ÷ 4 + 4 x 8 = ?
A. 42
B. 32
C. 96
D. 40

Answers

Answer:

Step-by-step explanation: 40 see attachment

I need help and i WILL OFFER 100 POINTS and make you a BRAINLIEST or try

Answers

Answer:

782.5

Step-by-step explanation:

First off, we have to somewhat follow the order of PEMDAS.

1) Simplify the exponents

[tex]\frac{(7.3 * 1000000) + (2.4 * 10000000)}{(4 * 10000)}[/tex]

2) Multiply what's in the parenthesis

[tex]\frac{7,300,000 + 24,000,000}{40,000}[/tex]

3) Now we have to add what's on the top bracket

[tex]\frac{31,300,000}{40,000}[/tex]

4) After all the simplifying is done, we have to divide

31,300,000 ÷ 40,000 =  782.5

I hope this helped you :)

Step-by-step explanation:

you can ask questions for clarification

on monday ramon bought 5 zip disks. two days later the price of the discs were decreased by 1.50 per disk. leticia bought ten disks at the sale price and paid 22 more than ramon paid for 5 disks. what was the original price of a disk

Answers

The original price of a zip disk is; $1.4

How to Solve Algebra Word Problems?

Let cost of zip sticks bought by Ramon be x. Thus;

Cost that Ramon paid = 5x

Now, we are told that 2 days later the price increased by $1.5 per disc. Thus, new cost = x + 1.5

Leticia bought ten disks at the sale price and paid 22 more than ramon paid for 5 disks. Thus, equation here is;

10(x + 1.5) = 5x + 22

Expand the bracket to get;

10x + 15 = 5x + 22

10x - 5x = 22 - 15

5x = 7

x = 7/5

x = $1.4

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Find the distance between points A and B. A = (3,-7) B = (3,1)

Answers

The distance between points A and B  is 8 units.

We have been given two points A and B.

The coordinates of the points are A = (3,-7) B = (3,1)

We need to find the distance between points A and B.

Let d be the distance between points A and B.

Using distance formula,

d = √[(3 - 3)² + (1 - (-7))²]

d = √[0² + 8²]

d = √8²

d = 8 units

Therefore, the distance between points A and B  is 8 units.

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I cant find my answer please help!

Answers

Step-by-step explanation:

once we know what the domain and the range of a function is, this is very simple.

the domain is the interval or set of all valid x (input) values.

the game is the interval or set of all valid y (function result) values.

so, what are all the valid x values ? that means for how many months of collection can we use this function to see how many figurines he has ?

well, we can stay with 0 (what he currently has) and go up to 5 (because after 5 months he does not want to continue this behavior).

so, the domain is

0 <= x <= 5 if we allow also fractions of months as input (if this makes sense)

or

x € {0, 1, 2, 3, 4, 5} if we allow only whole numbers.

and the range ? what are the possible result values of the function ?

for x = 0 it starts with y (or f(x)) = 100.

x = 1 gives us 100 + 3×1 = 103

x = 2 gives us 100 + 3×2 = 106

x = 3, 100 + 3×3 = 109

x = 4, 100 + 3×4 = 112

x = 5, 100 + 3×5 = 115

so, the range is

100 <= y <= 115 if we allow fractions of months

or

y = f(x) € {100, 103, 106, 109, 112, 115} if we allow only whole months as values of x.

Solve 6^x + 2 = 10 for x using the change of base formula log, y = log y log b​

Answers

The answer for "x" in 6^(x+2) = 10 is -0.715

The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given integer x is the exponent to which another set number, the base b, must be increased in order to create x.Firstly, we use the change of base formula. The base must be 6 because the "x" variable is a power of it.6^(x+2) = 10Taking a log with base 6 on both the sidesThen, we can use the property logarithm power rule:(x + 2) log6 = log10(x + 2)(1) = (log10)/(log6)x + 2 = 1/log6x + 2 = 1.285x = 1.285 - 2x = -0.715

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the sum of three numbers is 111. the first number is less than the third. the second number is times the third. what are the numbers?

Answers

The first, second, and third numbers are 11, 80, and 20 respectively.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the first number is a second is b and the third one is c

Now,

The sum of the three numbers is 111

So,

a + b + c = 111

The first number is 9 less than the third

So.

a = c - 9

And the second number is 4 times third

So,

b = 4c

By substitution,

c - 9 + 4c + c = 111

c = 20

b = 4(20) = 80

a = 20 - 9 = 11

Hence "The first, second, and third numbers are 11, 80, and 20 respectively".

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The given question are incomplete , complete question is ;

The sum of the three numbers is 111. the first number is 9 less than the third. the second number is 4 times the third. what are the numbers?

a. It is linear because it has a constant rate of change.

b. It is linear because it does not have a constant rate of change.

c. It is not linear because it has a constant rate of change.

d. It is not linear because it does not have a constant rate of change.

Answers

c. It is not linear because it has a constant rate of change.

Answer:

D

Step-by-step explanation:

this is showing a quadratic

Consider this system of inequalities.

x + y ≤ –3

y < StartFraction x Over 2 EndFraction

Which graph shows the solution for this system?

Answers

The line x + y ≤ –3 will be solid and shaded below the graph and the line y < x/2 will be dashed and shaded below the graph.

Graphing linear inequalities.

Inequalities is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

When graphing the inequalities x + y ≤ –3, the line will intersects the y-axis at the coordinate point (0, -3) and the line will be solid and shaded below the graph.

When graphing the inequalities y < x/2, the line will intersects the y-axis at the coordinate point (0, 0) and the line will be dashed and shaded below the graph.

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Graph the line that represents the equation y= - 2/3 x + 1
I will give out brainlist
help [please]

Answers

Answer:

Step-by-step explanation:

Hi

\large \frac{2\cdot3^{-4}}{5^{-2}}
Adam wrote: \large \frac{2\cdot5^2}{3^4}

Nick wrote: \large \frac{5^2}{2\cdot3^4}

Shane wrote: \large \frac{2\cdot3^4}{5^{^2}}

Who is correct and why?

a
Adam is correct because the negative exponent moves the base to the other side of the fraction bar and makes the exponent positive.
b
None of these are correct because the students did not add the exponents in the numerator and then subtract exponents since there is division.
c
Nick is correct because the negative exponent in the numerator moves the whole numerator into the denominator and makes the exponent positive.
d
Shane is correct because all that needs to be done is to make the negative exponents positive.

Answers

Answer:the answer is A:nick is correct

Step-by-step explanation:

Based on the fraction given of [tex]\large \frac{2\cdot3^{-4}}{5^{-2}}[/tex], the correct person is c. Nick is correct because the negative exponent in the numerator moves the whole numerator into the denominator and makes the exponent positive.

Why is Nick correct?

When a number is being taken to the negative power, then it can be rewritten as a fraction where the number becomes the denominator and the numerator becomes 1.

The number, 2.3⁻⁴ can be written as:

= 1/2.3⁴

The number 5⁻² can be written as:

= 1 / 5²

When these numbers are divided we get:

= 1/2.3⁴ ÷ 1 / 5²

= 1/2.3⁴ x 5²/1

= 5² / 2.3⁴

= [tex]\large \frac{5^2}{2\cdot3^4}[/tex]

In conclusion, Nick was correct.

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Please help
Find the slope of the line passing through the given points. how do you know?

Answers

The slope of the line passing through the given points is 0.4 or 2/5.

From the table given below, we have (2, 23) and (5, 24.3).

What is the  slope of the line passing through the coordinate points?

Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y-values over the change in the x-values.

Put the points (2, 23) and (5, 24.3) in the slope formula and find the slope.

That is, m=(24.3-23)/(5-2)

=1.3/3

=0.4

=4/10 = 2/5

Put m=2/5 and the coordinate points (2, 23) in y=mx+c.

That is, 23=2/5 (2)+c

⇒23 - 4/5 =c

⇒111/5 = c

⇒ c=22.2

Now, equation is y=0.4m+22.2

Therefore, the slope of the line passing through the given points is 0.4 or 2/5.

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A,b,c or d I don’t know which one to pick

Answers

Answer:

b

Step-by-step explanation:

 the answer is b because 50 + (11 x 9) = 149

75 + (8 x 9) = 147

Therefore, franks fiesta is less expensive for parties of 9 or more

In a survey the ratio of students who prefer muffins to bagels is 4 to 5 if the number of students surveyed who prefer muffins is 420 how many prefer bagels

Answers

In a survey where the ratio of students who prefer muffins to bagels is 4 to 5 and 420 prefer muffins, 525 students prefer bagels.

Ratio is the relationship between two quantities, normally expressed as the quotient of one divided by the other.

It can be expressed in different ways:

1) Use the ":" to separate the values : a : b

2) Use the word "to" : a to b

3) Write it in fraction: a / b

On the other hand, proportion is the equality of two ratios, such that

a : b = c : d

Given a proportion, the product of its means must be equal to the product of its extremes. That is:

ad = bc

If the ratio of students who prefer muffins to bagels is 4 to 5, and 420 students prefer muffins, the proportion can be written as:

4 : 5 = 420 : n

where n = number of students who prefer bagels

Solving for n,

4n = 5(420)

4n = 2100

n = 525

number of students who prefer bagels = 525

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8x-4y=7 3x+6y=12 what is the value of x

Answers

Answer: x=1

Step-by-step explanation:

2(8x-4y=7)

  3x+6y=12

16x-6y=7

3x+6y=12

19x/19 = 19/19

x=1

Step-by-step explanation:

8x-4y=7 3x+6y=12

8x-3x=7 4y+6y=12

5x=7 10y=12.

Please answer the questions in the photo [ Brainliest + points ]

Answers

Answer:

8 is 69

9 is 68

t is 99 i think

z is 80 i think

J 69
H 68
T 43
Z 80
I think these are the answers

Evaluate the expression when h = 5.
2h+h-2 (3) =

Answers

your answer would be 13
in the image i provided gives you a walk through of the steps on how to solve. all you do is plug the 5 into where the places where the h is in the problem and do the math

Answer:

Step-by-step explanation:

For every "h" plug in "5", then follow the order of operations

2h+h-2(3)

2(5)+5-2(3)

10+5-6

15-6

=9

The answer is 9



Which of the following numbers is rational?
A. 2√5
B. √25
C. 2pi
D. 25pi

Answers

Answer:

B

Step-by-step explanation:

_/25 can be rooted to 5. 5 is rational.

Consider the sequence 4, 3, 2, 1.... What is f(4)?

Answers

Answer: 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

it's the fourth number in the sequence

a simple dart target has two concentric circles. the larger circle has a radius of 4. the smaller circle has a radius of 2. the scoring should correspond to the relative difficulty of hitting the inner circle and the outer ring. how many more points should a player receive for landing a dart in the inner circle, as opposed to the outer ring? the player should receive 2 π times as many points. the player should receive 3 times as many points. the player should receive 9 times as many points. the player should receive 4 π times as many points.

Answers

The points awarded for striking the inner circle ought to be tripled.

What is the inner circle?

The face region of the circle determines the likelihood of landing an outrage there.The formula for calculating a circle's area is: inner circle for the exterior circle, apply the formula to subtract the inner circle's value to determine the remaining area.

The formula for the area of a(one) circle is an inner circle for the external circle, use the formula also abate the value of the inner circle, to find the remaining area, which means that the area of the external circle is 3( three) times larger, making it 3( three) times more likely to hit the external circle.

Thus, The points awarded for striking the inner circle ought to be tripled.

[tex]\pi r^2 A =\pi 2^2 = 12.566 A\\[/tex]

so,

[tex]\pi 4^2 - 12.566 = 3(three)[/tex]

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Lisa and john are bowling. Johns score is three times the difference of Lisa's score and 6. The sum of their scores is 382. Find each students bowling score

Answers

Lisa bowling score is 100.

John bowling score is 282.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

Lisa and John are bowling.

Johns score is three times the difference of Lisa's score and 6.

The sum of their scores is 382.

Now, Let Lisa bowling score = x

Then, John bowling score = 3 (x - 6)

Since, The sum of their scores is 382.

Hence,

x + 3 ( x - 6 ) = 382

After solving,

x + 3x - 18 = 382

4x = 382 + 18

4x = 400

x = 100

Hence, Lisa bowling score = x = 100

And, John bowling score = 3 (x - 6)

                                       = 3 (100 - 6)

                                       = 3 × 94

                                       = 282

Therefore, Lisa bowling score is 100.

And, John bowling score is 282.

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If it costs $9.50 to buy a
movie ticket, what is the
most number of tickets
someone can buy for
$40.00? How much money
is left over?
PLEASE SHOW WORK

Answers

The number of tickets that can be bought with $40 is 4 tickets

How to calculate the number of tickets ?

It costs $9.50 to buy 1 tickets

The number of tickets that will be bought with $40 can be calculated as follows

= 40/9.50

= 4.2

Hence 4 tickets will be bought with $40

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which ratio has the unit rate of 4

Answers

[tex]2\frac{1}{2} ~~ : ~~ \cfrac{5}{8}\implies \cfrac{5}{2} ~~ : ~~ \cfrac{5}{8}\implies \cfrac{ ~~ \frac{5}{2} ~~ }{\frac{5}{8}}\implies \cfrac{5}{2}\cdot \cfrac{8}{5}\implies 4 ~~ \checkmark \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}~~ : ~~1\implies \cfrac{ ~~ \frac{1}{8}~~ }{1}\implies \cfrac{1}{8} ~~ \bigotimes \\\\[-0.35em] ~\dotfill[/tex]

[tex]4~~ : ~~1\frac{1}{4}\implies 4~~ : ~~\frac{5}{4}\implies \cfrac{4}{ ~~ \frac{5}{4} ~~ }\implies \cfrac{4}{1}\cdot \cfrac{4}{5}\implies \cfrac{16}{5}~~ \bigotimes \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{8}~~ : ~~3\frac{1}{2}\implies \cfrac{7}{8}~~ : ~~\cfrac{7}{2}\implies \cfrac{ ~~ \frac{7}{8}~~ }{\frac{7}{2}}\implies \cfrac{7}{8}\cdot \cfrac{2}{7}\implies \cfrac{1}{4}~~ \bigotimes \\\\[-0.35em] ~\dotfill[/tex]

[tex]4\frac{1}{3}~~ : ~~3\implies \cfrac{13}{3}~~ : ~~3\implies \cfrac{ ~~ \frac{13}{3}~~ }{3}\implies \cfrac{13}{3}\cdot \cfrac{1}{3}\implies \cfrac{13}{9} ~~ \bigotimes \\\\[-0.35em] ~\dotfill\\\\ 2~~ : ~~\cfrac{1}{2}\implies \cfrac{2}{ ~~ \frac{1}{2} ~~ }\implies \cfrac{2}{1}\cdot \cfrac{2}{1}\implies 4 ~~ \checkmark[/tex]

in a random sample of 7 residents of the state of california, the mean waste recycled per person per day was 1.7 pounds with a standard deviation of 0.36 pounds. determine the 99% confidence interval for the mean waste recycled per person per day for the population of california. assume the population is approximately normal. step 1 of 2 : find the critical value that should be used in constructing the confidence interval. round your answer to three decimal places.

Answers

The critical value that should be used in constructing the confidence interval is ( 1.592, 1.807 ).

Given that;

Number of residents, n = 7

Z*- value of 90% confidence level equals z* = 0.79

Mean x = 1.7 and deviation σ = 0.36

What is the standard deviation?

Standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean.

Now,

Number of residents, n = 7

Z*- value of 90% confidence level equals z* = 0.79

Mean x = 1.7 and deviation σ = 0.36

The confidence interval for mean waste recycled per person is

[tex](x-z^{*} \frac{sigma}{\sqrt{n} } ; x+z^{*} \frac{sigma}{\sqrt{n} } )[/tex]

[tex](1.7 - 0.79*\frac{0.36}{\sqrt{7} } ; 1.7 + 0.79*\frac{0.36}{\sqrt{7} })[/tex]

[tex](1.592, 1.807)[/tex]

Hence, the critical value that should be used in constructing the confidence interval is ( 1.592, 1.807 ).

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3)
1 1/3
is fractions between which set of numbers?
A) 1.3 and 1.4
B) 1.2 and 1.3
□ C) 1.1 and 1.2
□ D) 1.4 and 1.5

Answers

None of the above, since the improper fraction 4/3 is identical to the mixed number 1 1/3.

There are various types of fractions, including proper and improper fractions as well as mixed numbers. Mixed numbers: Sometimes converting a mixed number into an incorrect fraction is advantageous or required. If you answer equations that contain both mixed numbers and fractions, you must take this step.

Divide the full integer by the denominator of the fraction (3). (1). 3 x 1 = 3. The product you obtained in the previous step (3) after adding the fraction's numerator (1) is equal to four. 1 + 3 = 4.This turns becomes the improper fraction's numerator. As with the proportion in the mixed number, the denominator remains constant.

Hence, the set of numbers 1 1/3 fraction is 4/3.

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share £60 in the ratio 3:1

Answers

If we share $60 in the ratio 3:1, then each person will get is $45 and $15 respectively

Given,

The total amount = $60

The ratio = 3:1

Then the amount given to first person = 3x

The amount given to the second person = x

Given that the total amount is 60

Then  the equation will become

x+3x=60

4x=60

x=[tex]\frac{60}{4}[/tex]

x=15

The amount given to the first person = 3x

Substitute the value of x in the equation

The amount given to the first person =3x

=3×15

= $45

The amount given to the second person =x

= $15

Hence, if we share $60 in the ratio 3:1, then each person will get is $45 and $15 respectively

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Two friends entered the amusement park at 10:05 AM. With the wait time it took 35 minutes to ride the FLIP-A-Trip. Then, it took 23 minutes to ride the Slippery Slope. What time was it then? Explain how you found your answer.

Answers

The computation shows that the time will be 11:05 am.

How to compute the value?

The friends entered the amusement park at 10:05 AM, the wait time it took 35 minutes to ride the FLIP-A-Trip and it took 23 minutes to ride the Slippery Slope.

Therefore, the time will be:

= 10.05 + 35 + 25

= 10:05 + 60 minutes

= 10:05 + 1

= 11:05

.It should be noted that 60 minutes= 1 hour. Therefore, you'll add 1 hour to the original time.

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please im begging you help me why do seeds need to be planted Graph the compound inequality 6x+2y6 Can you help make a 10 help you add 7+4+5 explain Find three consecutive even integers such that the square of the third is 52 more than the square of the second. Imagine you have been hired as the first HR manager at a small start-up business. You learn that the owner, who interviews all job candidates, believes that structured, skills-focused interview questions are "boring" and "not cool How would you advise this person about the selection process? if you are entering a cell address in to excel for cell f26 and you want to copy the formula that contains this address and have the row and the column stay locked, which of the follow is correct? how does the use of plot contribute to the tone of the excerpt?it develops a tone of hostility as the reader grasps the speakers anger at her mother.it develops a tone of grief as the reader observes the events through the speakers eyes.it develops a tone of respect as the reader learns of one of the speakers family rituals.it develops a tone of uncertainty as the speakers setting remains unknown to the reader. Given [tex]f(x)=\frac{1}{x+5}[/tex], find the average rate of change of f(x) on the interval [1,1+h]. Your answer will be an expression involving h. Pls halp Select the sentence where the subject and verb agree. My computers is sitting on the kitchen counter. My computer sat on the kitchen counter. These computer sat on the kitchen counter. These computers sits on the kitchen counter. what is 5,435,778 expressed in scientific notation? a.5.435778 x 10 b.5.435778 x 10 c.5.435778 x 10 d.5.435778 x 10 One primary advantage of light microscopy over electron microscopy is that ________. do u think John D. Rockefeller is a hero or a villain? Rhiannon and Sophie both started saving for a new piano this month. Rhiannon will deposit $35.80 per week, but her bank account is currently overdrawn with a -$253.50 balance. Sophie also has a negative bank account balance of -$78.25 and will deposit $23.30 each week. How many weeks (w) will it take for the two bank accounts to have the same balance? neuropsychiatric disorders are the leading cause of disability in the united states highlighting that disabilities are not solely physical. Read the stanzas from "I Wandered Lonely as a Cloud" and answer the question. [1]I wandered lonely as a cloud That floats on high o'er vales and hills, When all at once I saw a crowd, A host, of golden daffodils; [5]Beside the lake, beneath the trees, Fluttering and dancing in the breeze. Continuous as the stars that shine And twinkle on the milky way, They stretched in never-ending line [10]Along the margin of a bay: Ten thousand saw I at a glance, Tossing their heads in sprightly dance. What is the effect of describing the daffodils as "continuous as the stars that shine" (line 7)? Due to the localization of the Early Middle Ages, what role did the Catholic Church serve in Europe as a result?Attempting to Christianize the barbarian tribes that settled in Western EuropeAll of these answer optionsA community of faith that served the needs of people in towns and villagesConnection to the larger world s it true that for any integer n 2, (n) has a primitive root? if so, prove it. if not, give an explicit counterexample science primarily developed in which location? group of answer choices reformation and enlightenment europe What is primarily responsible for the creation of seasons on the earth?