A 2003 study of dreaming found that out of a random sample of 111 people, 93 reported dreaming in color. However, the rate of reported dreaming in color that was established in the 1940s as 0.24. Check to see whether the conditions for using a one-proportion z-test are met assuming the researcher wanted to test to see if the proportion dreaming in color had changed since the 1940s. Are the conditions met?
A. No, the observations are not independent.
B. Yes, all the conditions are met.
C. No, the sample size is not large enough to produce at least 10 successes and 10 failures.
D. No, the population is not more than 10 times bigger than the sample size.

Answer:

(-4,3)

Step-by-step explanation:

Hope this helps. :)

Answer:

16

Step-by-step explanation:

1250/ 80 = 125/8 ≈ 15.6 rounds up to 16

Answer:

35 bricks for $25.90

35 bricks for $25.90

230 bricks for $170.2

Step-by-step explanation:

Cost per brick = number of bricks / price of bricks

1500/$1110 = $1.35

1300 / $845 = $1.54

230 / $170.20 = $1.35

100 / $75 = $1.33

35 / $25.90 = $1.35

Based on these calculations, the bricks that have the same cost per brick are :

35 bricks for $25.90

35 bricks for $25.90

230 bricks for $170.20

Answer:

18%

Step-by-step explanation:

Given data

People that contributed the last year= 3186-486

=2700people

Hence the percentage change

=486/2700*100

=0.18*100

=18%

Hence the change in the number of people that contributed is 18%

Answer:

they're all correct

Step-by-step explanation:

I think, if it's wrong I'm very sorry, but I'm fairly sure they're right

hope this helps:)

Answer:

x = 9

Step-by-step explanation:

2X + 10=28

Subtract 10 from each side

2X + 10-10=28-10

2X = 18

Divide each side by 2

2X/2 = 18/2

x = 9

Answer:

X=9

Step-by-step explanation:

28-10=18

2 x 9= 18

Answer:

Remember to add up the 2 angles they give you and subtract it from 180. Then you will get the answer for each question.

Answer:

Step-by-step explanation:

I uploaded a picture of the graph, but you can go to the site, Desmos. Just plug in your equation, and you will get the equation graphed.

Answer:

a) clockwise sense

b)  x² + y² = 1

c) y ∈ [0,1]

Step-by-step explanation:

a) x = cos (t)       y = -sin (t)

for t ∈ [ 0 , 2π ]

for t = 0   point  P  is    x = cos (0)   =  1   y = -sin (0)   y = 0

The point is on the x axis

Now let´s see what happens for t = π/4  

x = cos (π/4)    x = √2/2    and   y = - sin (π/4)    y = - √2/2

Note  π/4 is 45°

The coordinates of the new point P ´(t = π/4) are in the fourth quadrant

that means the point is moving clockwise sense.

b) x = cos(t)

   y = -sin(t)

Squaring on both sides of each equation we get:

x²  = cos²t

y²  = sin²(t)

Adding side by side

x²  +  y² = cos²t  + sin²t

x²  +  y² = 1

Values for y are    y  ( 0 , 1)

Answer:

b

Step-by-step explanation:

hope it help you

please follow me

Answer:

1.2

Step-by-step explanation:

12 in= 1 foot

Answer:

1.16 feet

Step-by-step explanation:

12 inches in one foot so there are 14 inches in 1.16 feet.

Answer:

The Answer is B

Step-by-step explanation:

Answer:

75.36

Step-by-step explanation:

24 cm x 3.14 = 75.36

Answer:

its good for life and career choices

Step-by-step explanation:

Multiply the numbers just as if they were whole numbers.

Line up the numbers on the right - do not align the decimal points.

Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.

Add the products.

Answer:

A. the graph represent a one - to - one function because every x-value is paired with only y-value

Step-by-step explanation:

that's it

Answer:

37.68 Inches cubed (A)

Step-by-step explanation:

The formula for a cylinder is:

πr^2(h)

First, let's find the radius, which is:

4/2 = 2

Now, we can plug in the values:

3.14(2)^2(3)

Do exponents first:

3.14(4)(3)

Multiply left to right:

12.56(3)

Again:

37.68 Inches

So, the answer is:

37.68 Inches cubed (Or A)

Hope this helps!

Answer:

481 cubic inches

Step-by-step explanation:

Volume of the figure = Volume of the triangular prism + rectangular prism

Volume of the triangular prism = Base area * height

Volume of the triangular prism = (1/2*5*3) *  6

Volume of the triangular prism = 15/2 * 6

Volume of the triangular prism = 15 * 3

Volume of the triangular prism = 45in³

Volume of the rectangular prism = 16*7*3

Volume of the rectangular prism = 336in³

Volume of the figure = 45+336

Volume of the figure = 481 cubic inches

The answer is

X= 3 and Y= -4

Answer:

If you are solving for substitution then the anwser is x+3, and y = -4 (3, -4)

Step-by-step explanation:

First you solve for x

x-2y=11 to x = 11 + 2y

Then you plug it in to the first equation.

-7 (11 + 2y)- 2 = -13 Then Simplify. -77 - 16y= -13

Solve for Y.

Add 77 to both sides. -16y= 64

Divide both sides by -16

y= -4

The Solve for X

x=11 + 2 x -4

X=3

Therefore the anwser is (3, -4)

Answer:

1.983 or about 1 1/6

hope this helped!

Answer: (2) {(6,0), (5,0),(4,0)}

It is a function, where each value is associated with exactly one output.

Step-by-step explanation:

A relation is said to be a function if the first components of the ordered pairs are associated with exactly one value of the second components of the ordered pair.

(1) {(0,4), (2,4),(2,5)}

here 2 is associated with 2 different values of second component.

Thus it is not a function.

(2) {(6,0), (5,0),(4,0)}

It is a function, where each value is associated with exactly one output.

(3)  {(4,1),(6,2), (6,3), (5,0)}

It is not a function as 6 is associated with 2 different values of second component.

(4) {(0,4),(1,4), (0,5),(1,5)}​

It is not a function as 0 and 1 are associated with 2 different values of second component.

Answer:

137 in.^2

Step-by-step explanation:

A = nsa/2

where

n = number of sides = 9

s = length of side = 4.7 in.

a = length of apothem = 6.5 in.

A = (9)(4.7 in.)(6.5 in.)/2

A = 137.475 in.^2

Answer: 137 in.^2

Answer:

D E false, F true

Step-by-step explanation:

Answer:

[tex]\sqrt{13}[/tex] = 3.605551275......

Step-by-step explanation:

[tex]\sqrt{13}[/tex]

       3.6

3 [tex]\sqrt{13}[/tex]

     -9

36[tex]\sqrt{4}[/tex]00

do you need to know more... ??

9514 1404 393

Answer:

  √13 ≈ 3.60555127546

  "by hand": 3 4/7 or 398143/110425 or 3.6055 or 3 23/38

Step-by-step explanation:

Most on-line calculators, calculator apps for phone or tablet, and any spreadsheet can calculate this for you. The first attachment shows the result from the Go.ogle calculator.

Here, we describe 4 methods of approximating the root "by hand." That is, the calculations can be done with pencil and paper. They are easily within the capability of a 4-function calculator.

__

Method 1 -- Linear approximation

You can approximate it by hand in the following way.

√13 is between √9 = 3 and √16 = 4. As a first approximation, it is ...

  3 + (13 -9)/(16 -9) = 3 4/7 ≈ 3.57 ≈ 3.6

This is a linear interpolation between √9 and √16.

_____

Method 2 -- Babylonian method

The "Babylonian method" can be used to refine this approximation. For the next guess, average this number and the quotient 13 divided by this number.

  x = (3 4/7 + (13/(3 4/7))/2 = (25/7 + 13·7/25)/2 = (625 +637)/350 = 631/175

  x = 3 106/175 ≈ 3.6057 . . . . . . good to 3 decimal places

One more iteration will double the number of correct decimal digits.

  x = (3 106/175 + 13/(3 106/175))/2 = 398143/110425 ≈ 3.60555127915

(correct digits are highlighted)

_____

Method 3 -- "long division"

There is also a "long-division" method that develops the root one digit at a time. This is described in the second attachment, an extract from the NIST web site. For a number like 13, you would use 13.00 00 00 00 as the initial "dividend" to get a 4-digit root.

_____

Method 4 -- continued fraction

Once you realize that the root is between 3 and 4, you can write a "continued fraction" for the fractional part:

  3 +x = √13 . . . . . . where x is the fractional part of the root

  (3 +x)² = 13 . . . . . . square both sides

  x² +6x +9 = 13 . . . expand the square

  x(x +6) = 4 . . . . . . . subtract 9 and factor

  x = 4/(6 +x) . . . . . . write as an iterator (continued fraction)

At this point, we can say x = p/q for some integers p and q. Then the next iteration is ...

  p/q = 4/(6 +p/q) = 4q/(6q +p)

That is, successive approximations of x can be had by the transformation ...

  (p, q) ⇒ (4q, 6q+p)

Starting with the linear interpolation fraction x=4/7, the next refinements using this method are ...

  (p, q) = (4, 7) ⇒ (28, 46) = (14, 23)* ⇒ (92, 152) = (23, 38)

At this point, you have approximated the root as 3 23/38 ≈ 3.6053, accurate in the third decimal place. Convergence is clearly much slower than using the Babylonian method.

__

* We have reduced the fraction p/q = 28/46 to 14/23 in order to keep the numbers as small as possible. Similarly, 92/152 is reduced to 23/38.