People were polled on how many books they read the previous year. Initial survey results indicate that s= 18.1 books. Complete parts ​(a) through ​(d) below.

(a) How many subjects are needed to estimate the mean number of books read the previous year within six books with 95​%​confidence?

This 95% confidence level requires ____subjects. ​(Round up to the nearest​ subject.)

(b) How many subjects are needed to estimate the mean number of books read the previous year within three books with 95​% ​confidence?

This 95% confidence level requires _____subjects. ​(Round up to the nearest​ subject.)

(c) What effect does doubling the required accuracy have on the sample​ size?

A.Doubling the required accuracy nearly quadruples the sample size.

B.Doubling the required accuracy nearly halves the sample size.

C.Doubling the required accuracy nearly quarters the sample size.

D. Doubling the required accuracy nearly doubles the sample size.

​(d) How many subjects are needed to estimate the mean number of books read the previous year within four books with 99% confidence?

This 99% confidence level requires _____ subjects. ​(Round up to the nearest​ subject.)

This 99% confidence level requires ____subjects. ​(Round up to the nearest​subject.)

Compare this result to part (a). How does increasing the level of confidence in the estimate affect sample​ size? Why is this​reasonable?

A. Increasing the level of confidence increases the sample size required. For a fixed margin of​ error, greater confidence can be achieved with a smaller sample size.

B. Increasing the level of confidence decreases the sample size required. For a fixed margin of​ error, greater confidence can be achieved with a larger sample size.

C. Increasing the level of confidence decreases the sample size required. For a fixed margin of​ error, greater confidence can be achieved with a smaller sample size.

D. Increasing the level of confidence increases the sample size required. For a fixed margin of​ error, greater confidence can be achieved with a larger sample size.

Answer:

p - 5q = 4qr where

q = 4 and r = -1 by applying these value

p - 5(4) = 4(4)(-1)

p - 20 = -16

p = -16 + 20

p = 4

By definition of the derivative,

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{(s + h)^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{s^3+3s^2h+3sh^2+h^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\frac{3s^2h+3sh^2+h^3}2}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac12 \frac{3s^2h+3sh^2+h^3}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac12 (3s^2+3sh+h^2)[/tex]

[tex]\displaystyle\frac{dr}{ds} = \frac{3s^2}2[/tex]

Answer:

x=-11

y=-1

Step-by-step explanation:

x=4y-7

2x+9y=-31

2(4y-7)+9y=-31

8y-14+9y=-31

17=-31+14

17y=-17

y=-1

x=4(-1)-7

x=-11

Answer:

x = -11, y = -1

Step-by-step explanation:

solving simultaneously,

2(4y-7) + 9y = -31

17y = 14 - 31

17y = -17

y = -1

back sub, we get:

x = 4(-1)-7

x = -11

so x = -11, y = -1

Answer:

$657.09

Step-by-step explanation:

The area of the carpet is:

21 × 9 = 189 Square foot

189 foot² = 21 yard²

We know 1 yard² = $31.29

So 21 yard² = 21 × $31.29 = $657.09

Answer:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

Answer:

480 * 0.04 = 19.2

$19.20

Answer:

Step-by-step explanation:

Well the answer is explained below.

Answer:

4s + 11t = 75

Step-by-step explanation:

Assuming you are asking for an equation to find how many socks and ties Cheryl could get with $75, then the equation 4s + 11t = 75 would represent that.

s is the number of socks that are bought (assuming s = 1 means that 1 pair of socks is bought).

t is the number of ties that are bought.

4s represents the total cost of the socks that are bought (if you plug in 4 for s, then the total cost of the socks is 4(4) = 16+

11t represents the total cost of the ties that are bought

Answer:

10^6.

Step-by-step explanation:

There are 6 digits after the 1 so it's 1 * 10^6 or just 10^6.

Answer:

y = x - 5

Step-by-step explanation:

Given the point, (10, 5), and the slope, m = 1:

Substitute these values into the slope-intercept form to solve for the y-intercept, b:

y = mx + b

5 = 1(10) + b

5 = 10 + b

Subtract 10 from both sides to isolate b:

5 - 10 = 10 - 10 + b

-5 = b

The y-intercept of the line is: b = -5. This represents the y-coordinate of the y-intercept, (0, -5), which represents the point on the graph where it crosses the y-axis. Along the y-axis, the value of x = 0. Hence, the y-intercept is (0, -5).  

Therefore, given the slope, m = 1, and the y-intercept, b = -5:

The equation of the line in slope-intercept form is:  y = x - 5.

Answer:

Distance = 4

Step-by-step explanation:

Given the linear equation of line ℓ, y = 5 which is a horizontal line in which its slope, m = 0 (zero slope), and each of the x-coordinates along the line have the same y-coordinate of y = 5.

In order to determine the distance of the horizontal line from the given point Q, (0, 1), use the following distance formula:

[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]

Choose any x-coordinate to pair with the y-coordinate, y = 5. Let's use the y-intercept, (0, 5).

Let  (x₁, y₁) = (0, 1)  

      (x₂, y₂) = (0, 5)  

Substitute these values into the distance formula:

[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]

[tex]d = \sqrt{(0 - 0)^{2} + (5 - 1)^{2}}[/tex]  

[tex]d = \sqrt{(4)^{2}}[/tex]

[tex]d = \sqrt{16}[/tex]

d = 4  

Therefore, the distance of line ℓ from point Q is 4.

Answer:

3.5

Step-by-step explanation:

Hopes this helps

Step-by-step explanation:

A = 690ft + B

A + B = 1.384ft

(690ft + B) + B = 1.384ft

2B = 1.384ft - 690ft

2B = 694ft

B = 694ft ÷ 2

B = 347ft

A = 690ft + B

A = 690ft + 347ft

A = 1.037ft

Tower A → 1.037 feet

Tower B → 347feet

Step-by-step explanation:

10/1(-4)

10(-4)

=-2.5 or 5/-2

Answer:

See below:

Step-by-step explanation:

So we know that an apple and 3 bannans are dollar 2.50

We also know that 2 apples and 5 bannanas are dollar 4.50.

Therefore, if we subtract 2 apples and 5 bannanas from 1 apple and 3 bannanas we will get a price.

Therefore, 1 apple and 2 bannanas are 2 dollars. (4.50 - 2.50 = 2)

Now, we can multiply by 3 to get it for 3 apples and 6 bannanas.

3*1 + 3*2 = 2*3

3a + 6b = 6 dollars.

The cost of 3 apples and 6 bananas is $7 and this can be determined by forming the linear equation in two variables.

Given :

Let the cost of one apple be 'x' and the cost of one banana be 'y'. Then the cost of an apple and 3 bananas is given by the equation:

x + 3y = 2.5 --- (1)

The cost of 2 apples and 5 bananas is given by the equation:

2x + 5y = 4.5  ---- (2)

Now, solve the equation (1) for 'x'.

x = 2.5 - 3y  --- (3)

Now, put the value of 'x' in equation (2).

2(2.5 - 3y) + 3y = 4.5

5 - 6y + 3y = 4.5

0.5 = 3y

[tex]y = \dfrac{1}{6}[/tex]

Now, put the value of 'y' in the equation (3).

[tex]\rm x = 2.5-3\times \dfrac{1}{6}[/tex]

x = 2

Now, the cost of 3 apples and 6 bananas will be:

[tex]3 \times 2 + 6 \times \dfrac{1}{6} = 7[/tex]

So, the cost of 3 apples and 6 bananas is $7.

For more information, refer to the link given below:

https://brainly.com/question/13911928

Answer:

In point form, the answer is (1, -7) and in equation form, x = 1, y = -7.

Step-by-step explanation:

I hope this helps!

this is soo funny

haha thanks for the points

Since in the two triangles,

2 angles and the side between them is given and equal, the triangles are congruent using the Criteria ASA.

Option A is the correct answer.

The coordinates and quadrant of Point Z is (9, 10) Quadrant I.

The X and Y axes divide the graph plane into four quadrants:

Given:

Coordinates:

C( -4, 5), D(-9, 9), E(5, 0), I(0, 9), J(-9, 0), L(9, -9), P(0, -9), X(0, 5) and

Z(9, 10).

As, we know The upper right corner of the plane is where the first quarter is located. The x and y coordinates in this quadrant are both positive.

Hence, Z lies in Quadrant !.

Learn more about graph quadrant here:

https://brainly.com/question/12788228

#SPJ2

Step-by-step explanation:

"You're always right" means that you're a right angle (90°) and [tex]\sin{90°} = 1.[/tex]

Answer of the riddle is 1.

A right angle is an angle that is exactly equal to 90 degrees (or π/2) in measure.

The exact value of sine 90 degree.

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

According to the given question

We have a riddle " You're always right, what is your sine?".

So, you're always right means you are always at 90 degrees.

What is your sine means, what is sin 90 degrees.

And we know that

[tex]sin90=1[/tex]  

Hence, the answer of the riddle is 1.

Find out more information about sine of an angle here:

https://brainly.com/question/25604985

#SPJ2

Answer:

80%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

90 boxes = 100%

72 boxes = ?

=> (72 * 100)/ 90 = 80%

Answer: 32 + 1 and 5 x 2

Answer:

Germany

Austria-Hungary

Bulgaria

Ottoman Empire (the Central Powers)

Great Britain

France

Russia

Italy

Romania

Japan

United States (the Allied Powers).

Answer:

30

Step-by-step explanation:

3x+6y=9

multiply by 2

6x+12y=18   ....(1)

-2x+-4y=4

multiply by 3

-6x-12y=12   ...(2)

add (1) and (2)

0+0=30

Answer:

Step-by-step explanation:

Hope it helps,view the image:

[tex]\sqrt{\dfrac{8x^5 y^2}{z^3}}\\\\\\=\dfrac{\sqrt{8x^5 y^2}}{\sqrt{z^3}}\\\\\\=\dfrac{\left( y\sqrt{8}\right) \sqrt{x^5}}{\sqrt{z^2 \cdot z}}\\\\\\=\dfrac{\left(y\sqrt{4\cdot 2} \right) \sqrt{x^2 \cdot x^2 \cdot x}}{z\sqrt z}\\\\\\=\dfrac{\left(2\sqrt 2 \right) y x^2\sqrt{x}}{z\sqrt z}\\[/tex]

Answer:

6 servings

Step-by-step explanation:

Each serving Tim uses 1/9 cup. So, after using the amount of syrup reduces and repeated subtraction is division.

[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex]

[tex]=\dfrac{2}{3}*\dfrac{9}{1}[/tex]

= 2 *3

= 6

Answer:

1 hour 45 mins

Step-by-step explanation:

56÷8=7

7x15=105mins

105mins=1hr 45mins

Answer:

x > -11/10

Step-by-step explanation:

-2/6(4-x) < 4(x+1/2)

-1/3(4-x) < 4x + 2

-4/3 + 1/3x < 4x + 2

-4 +x < 12x + 6

x - 12 x < 6 + 4

-11x < 10

x > -11/10

Answer:

c, 48 cubic meters

Step-by-step explanation:

Answer:

The correct answer is C, which is 48 cubic meters.