Past experience indicates that the standard deviation of the time it takes for a dentist to perform dental scaling for patients is 4 minutes. A researcher wishes to estimate the mean time to perform dental scaling with 95 percent confidence and a margin of error of ± 0.75 minutes. Given this, what must the sample size be? Round up your answer to the next whole number.

Answers

Answer 1

Answer:

n = 110

Step-by-step explanation:

Margin of Error :

Zcritical * s/ sqrt(n)

s = standard deviation = 4

Margin of Error = ±0.75

Zcritical at 95% level of confidence = 1.96

Margin of Error = Zcritical * s/ sqrt(n)

0.75 = 1.96 * 4 / sqrt(n)

0.75 = 7.84 / sqrt(n)

Take the square of both sides

0.5625 = 61.4656 / n

0.5625 * n = 61.4656

0.5625 = 61.4656

n = 61.4656 / 0.5625

n = 109.27217

About 110 samples


Related Questions

A χ2 goodness-of-fit test was used to test the hypothesis that students at a local university select majors in the same proportions as other universities in the state. A chi-square test statistic of χ2=45.6 was calculated with a corresponding p-value of 0.005. Which of the following is correct?


There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.

There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
A

There is sufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.

There is sufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
B

There is insufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.

There is insufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.
C

There is insufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.

There is insufficient evidence to conclude that students at the local university select majors in the same proportions as do students in the rest of the state.
D

Students at the local university select majors in the same proportions as do students in the rest of the state.

Answers

Answer: A. There is sufficient evidence to conclude that students at the local university do not select majors in the same proportions as do students in the rest of the state.

Step-by-step explanation:

. A farm stand displays 3 baskets with 12 peaches in each basket and 2 baskets with 15 plums in each basket. A customer buys 8 pieces of fruit. Which equation shows how to find the number of peaches and plums, p, in the basket? *
1 point
3 + 12 x 2 + 15 - 8 = p
12 -3 + 15 - 2 x 8 = p
3 x 12 + 2 x 15 + 8 = p
3 x 12 + 2 x 15 - 8 = p
PLZZ HELP ME SOMONE NO FILES TO I NEED IT BY TODAY THIS WILL REALLY HELP ME!!!!!!!!!!

Answers

Step-by-step explanation:

the last one is the answer

9/11 = c/55


c=???
answwedbhksjbdew
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Answers

Answer:

C=45

if 9/11 = c/55 you have to divide the c/55 by 9/11, resulting in c/9 = 5

multiply 9 by 5 to get 45

Step-by-step explanation:

Answer: c=45

Brainiest please!

A garden is in the shape of a rectangle. What is the perimeter of the garden? PLS HELP​

Answers

Answer:

it is 7+7+3+3=20

Step-by-step explanation:

Is is 20 u add up all the sides 7+7+3+3=20 or 7+7=14 3+3=6 14+6 =20 so it’s 20

What statement is true about this triangle

Answers

Answer:

y^2+z^2=x^2 is true statement

13. What is the measure of ZQPU?
T
P
70°
S
R

Answers

the correct answer is s

There are 4 points that form a rectangle. Three of the points are: (-5 -1) (-5 3) (2<3 What are the coordinates of the fourth point?

Answers

Answer:

[tex]C = (2,-1)[/tex]

Step-by-step explanation:

Given

[tex]A = (-5,-1)[/tex]

[tex]B = (-5,3)[/tex]

[tex]D = (2,3)[/tex]

Required

The coordinate of the fourth point (C)

The given coordinates indicate the rectangle is vertical/horizontal because it has similar x and y values.

The coordinate of such rectangle can be represented as:

[tex]A = (x_1,y_1)[/tex]

[tex]B = (x_1,y_2)[/tex]

[tex]C = (x_2,y_1)[/tex]

[tex]D = (x_2,y_2)[/tex]

By comparing the general coordinates with the given coordinates, we have:

[tex]x_1 = -5[/tex] --- see A and B

[tex]y_1 = -1[/tex] --- see A and C

[tex]x_2 = 2[/tex] ---- see C and D

[tex]y_2 = 3[/tex] --- see B and D

So, we have:

[tex]C = (x_2,y_1)[/tex]

[tex]C = (2,-1)[/tex]

Mark invests his college fund
into an account earning 6%
simple interest. After 9 years,
Mark's college fund is has
earned $2,268. How much did
Mark initially invest?

A. 4,200
B. 3,800

HELP!!

Answers

The answer is B. 3800 that the answer

Question 1 (2 points)
Martin goes to the corner store to buy some candy bars and soft drinks. Soft drinks cost $2.00 each and candy bars cost $1.00 each. Martin
can spend no more than $8.00 and he can carry no more than 6 items back home.
Let x represent he number of soft drinks Martin can buy and let y represent the number of candy bars he can buy.
Which a system of inequalities represents this situation?

Answers

Answer:

x = 4 , y = 6

Step-by-step explanation:

I am sorry if I'm wrong

You must cover a wall 72 3/8 inches wide with wood panels. If each panel is 5 5/8 inches wide, about how many panels will you need?

Answers

Answer:

12 13/15

Step-by-step explanation:

[tex]72\frac{3}{8}[/tex] ÷ [tex]5\frac{5}{8}[/tex]

579 / 8 ÷ 45/8

579/8 x 8/45 = 12 39/45

expressing in its simplest form = 12 13/15

The experimental probability that Diana will win a game is 3/8. If she plays the game 80 times, approximately how many times should she expect to win?

Answers

Answer:

She should win approximately 30 times.

Step-by-step explanation:

Since the probability of winning is 3/8, we multiply 3/8 with 80 to get 30.

Which Angle measurements create a Triangle?

A 60,60,61
B 100,50,50
C 90,45,45
D 90,90,80

Answers

I think the answer is C

Question 7 (5 points)
Joelle sold candles in her store. This chart shows the number of candles she sold in
one week during store hours.
Day Number of Candles
Wednesday 4
Thursday 12
Friday 4
Saturday 6
Sunday 9
What is the median number of candles Joelle sold in one week?

Answers

Answer: 6

That chart is confusing ash, but median just refers to the middle value. Just put them in order (4,4,6,9,12) and then find the middle. In this case it's easy as there are an odd number of values. But if you have another question where there are an odd number, for example (4,4,6,10,12,15) find the two middle numbers, 4 and 9, add them (6+10=16) and then divide by 2 to find the number in between those two. (16/2=8)

Hope this helps!

Pamela is 14 years younger than Jiri. The sum of their age is 70. What is Jiri’s age?

Answers

Answer:

56 ...

Step-by-step explanation:

70-14 = 56

Since it’s the sum of their age it’s just jiri’s age plus Pamela’s so you just subtract Pamela’s age from the total sum. And that would make jiri 56. (Sum means the total from adding) So if you do the problem over again. “The sum of 56 and 14” it would take you back to the question you have now. This is inverse addition.

Answer:42

Step-by-step explanation: you split 70 in half, 35 and 35. Then you add 7 to one (Jiri) and subtract 7 from one(Pamela). You get 42 and 28. To check you do 42-28=14 and 42+28=70.

Which of the following is not a characteristic of the t​ test? Choose the correct answer below. A. The Student t distribution has the same general bell shape as the standard normal distribution. B. The Student t distribution has a mean of t=0 and a standard deviation of s=1. C. The t test is robust against a departure from normality. D. The Student t distribution is different for different sample sizes.

Answers

Answer:

B. The student distribution has a mean of t=0 and a standard deviation of s=1

The Student t distribution has a mean of t = 0 and a standard deviation of s=1.

Here, we have to find which is not a characteristic of the t test.

What is t test?

A t - test is a statistical test that is used to compare the means of two groups.

Now,

Here all given option is the characteristics of t - test and only the option B is not fulfill the condition of t- test.

Hence, Option B is true.

Learn more about the t- test visit:

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-5.225 as a mixed number.

Answers

Answer:

-5 9/40

Step-by-step explanation:

Ryan needs 20 feet of cable. The longest piece on her truck is 18 3/8 feet. How many feet too short is the cable on the truck? *

Answers

Answer:

1 5/8 too short

Step-by-step explanation:

The cable on the truck is 18 and 3/8 ... to complete the fraction into a whole number we would need 5 more parts in order to complete the entire 8 parts of the fraction. This would make the cable a whole 19 feet. Since Ryan needs 20 ft, this would leave us needing 1 more foot. Therefore, the cable in the truck is

1 5/8 too short

What is the probability of randomly choosing a white marble from a bag of
12 red, 12 white, 12 blue and 12 green marbles?
1/2
1/3
O 1/4
1/8

Answers

Answer:

1/4

Step-by-step explanation:

if there are 12 white marbles

and there are 48 in total

you have a probability of picking one 12/48

if you simplify this, you get 1/4!

viola!

hope this helped!

Answer:

1/4

Step-by-step explanation:

if there are 12 white marbles

and there are 48 in total

you have a probability of picking one 12/48

if you simplify this, you get 1/4!

hope this helped!

Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.
The radius is 8 and the height is 3

Answers

Answer:

Rounded to the nearest hundredth, the volume of the cylinder is 603.19.

Step-by-step explanation:

There really isn't an explanation to this, so my apologies if you need one.

I hope I helped you, and a "Brainliest" is always appreciated! ☺

9514 1404 393

Answer:

192π ≈ 603.19 cubic units384π ≈ 1206.37 cubic units

Step-by-step explanation:

The volume of a cylinder is given by the formula ...

  V = πr²h

For the given radius and height, the volume is ...

  V = π(8)²(3) = 192π ≈ 603.19 . . . . cubic units

When the height is doubled, the volume is doubled:

  V = π(8)²(6) = 384π ≈ 1206.37 . . . . cubic units

insert 7 arithmetic means between 4 and 8

Answers

Answer:

mafi mallum

Step-by-step explanation:

The 7 arithmetic means between 4 and 8 are

9/2, 5, 11/2, 6, 13/2, 7, and 15/2.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

We have,

First term = 4
This means,

a = 4

9th term = 8

This means,

a + (9 - 1)d = 8

4 + 8d = 8

8d = 8 - 4

8d = 4

d = 4/8

d = 1/2

Now,

2nd term = 4 + (2 - 1)1/2 = 4 + 1/2 = 9/2

3rd term = 4 + 2 x 1/2 = 4 + 1 = 5

4th term = 4 + 3 x 1/2 = 11/2

5th term = 4 + 4 x 1/2 = 4 + 2 = 6

6th term = 4 + 5 x 1/2 = 13/2

7th term = 4 + 6 x 1/2 = 4 + 3 = 7

8th term = 4 + 7 x 1/2 = 15/2

Thus,

The arithmetic sequence is 4, 9/2, 5, 11/2, 6, 13/2, 7, 15/2, 8.

Learn more about arithmetic sequence here:

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Find an equation for the inverse for each of the following.

Answers

Answer:

To solve these first swap x and y, solve for y and name it inverse function

3. y = -8x + 2

x = -8y + 28y = -x + 2y = -x/8 + 2/8y = -(18)x + 1/4

f⁻¹(x) = -(18)x + 1/4

-----------------------------------------

4. y = (2/3)x - 5

x = (2/3)y - 5(2/3)y = x + 5y = (3/2)x + (3/2)5y = 1.5x + 7.5

f⁻¹(x) = 1.5x + 7.5

-----------------------------------------

5. f(x) = 2x² - 6

x = 2y² - 62y² = x + 6y² = 1/2x + 3y = [tex]\sqrt{1/2x + 3}[/tex]

f⁻¹(x) = [tex]\sqrt{1/2x + 3}[/tex]

-----------------------------------------

6. y = (x - 3)²

x = (y - 3)²[tex]\sqrt{x}[/tex] = y - 3y = 3 + [tex]\sqrt{x}[/tex]

f⁻¹(x) = 3 +  [tex]\sqrt{x}[/tex]

Need help on iready you get 13 points :)

Answers

4 times 10
Which is 40
4 times 2 is 8 8 time 5 is 40

Answer:

4 x 10

Step-by-step explanation:

4 x 2 x 5

4 x 2 = 8

8 x 5 = 40

4 x 10 = 40

(04.04) Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 7 units above R to leave room for a utility truck. What are the coordinates of the location of the second car?​

Answers

Answer:

(2,3)

4th option

7 units up from point R

Answer:

2.3

Step-by-step explanation:

If the lengths of two sides of a triangle are 3 and 12, which could be the length of the third side?

16

14

8

6​

Answers

Answer: 1st is if it’s 2 legs second is if it’s a leg and hypotenuse

Step-by-step explanation:


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

JIG and JIL

Step-by-step explanation:

Adjacent angles share a side

I hope this helps :)

Answer:

JIG and JIL

Step-by-step explanation:

cuz adjecent angles add up to 180 degrees.

Hope this helps :)

The Tunnel of Fear ride climbs straight up to its peak 505050 meters above the ground. Then, it drops 656565 meters into an underground tunnel.
What is the elevation of the tunnel relative to the ground?

Answers

Answer:

-15 meters.

Step-by-step explanation:

i did it on khan

Drag the similar figure into the table.

Answers

ANSWER:

Drag the purple box to the similar figure

WHY:

The blue box has sides 2x5 and the purple is 4x10 which means they are similar the blue is multiplied by 2

Choose the amount of money that is equal to 1 dollar 1 nickel
Pls Help me

Answers

Answer: 4 quarters and 1 Nickel not sure if thats the question :/

Step-by-step explanation:

One dollar and one nickel are equal to $1.05.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

1 dollar = 100 cents

one nickel = 5 cents

So,

1 nickel = $0.05

Thus,

One dollar and one nickel are equal to $1.05.

Learn more about unit conversion here:

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Which statement describes the phospholipid bilayer that makes up a cell membrane?

A) The hydrophobic heads point into and out of the cell, while the hydrophilic tails form a layer between the heads.

B)The hydrophobic tails point into and out of the cell, while the hydrophilic heads form a layer between the tails.

C)The hydrophilic heads point into and out of the cell, while the hydrophobic tails form a layer between the heads.

D)The hydrophilic tails point into and out of the cell, while the hydrophobic heads form a layer between the tails.

Fast plz.

Answers

Answer:

Option D

Step-by-step explanation:

The phospholipid bilayer that makes up a cell membrane comprises of two essential parts a) Water loving part or the hydrophilic part which points outwards towards cytoplasm and b) Water hating part of hydrophobic part which point towards the interior of the membrane, and is sandwiched between two layers of hydrophilic heads

Hence, option D is correct

Answer:

d

Step-by-step explanation:

edge 2021

Find the surface area of a cube with side base length 10m.

Answers

Answer:

600 m²

Step-by-step explanation:

because the formula for surface area of a cube is 6a² in which a is the side length. so 10² is 100 multiplied by 6 which is 600

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