In all, 54 children were assigned to the Montessori school and 115 to other schools at age three. When the children were five, parents of 38 of the Montessori children and 34 of the others could be located and agreed to and subsequently participated in testing. This information reveals a possible source of bias in the comparison of outcomes. Explain why. (Round your answers to the nearest whole number.) About % of Montessori parents participated in the study, compared to about % of the other parents. (c) One of the many response variables was score on a test of ability to apply basic mathematics to solve problems. Here are summaries for the children who took this test:

As we know an identity that ;

Setting, [tex]{\bf{{\theta}=\footnotesize \dfrac{\pi}{8}}}[/tex] will give us ;

[tex]{:\implies \quad \sf \cos \left(2\times \dfrac{\pi}{8}\right)=2\cos^{2}\left(\dfrac{\pi}{8}\right)-1}[/tex]

[tex]{:\implies \quad \sf 2\cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{1}{\sqrt{2}}+1}[/tex]

[tex]{:\implies \quad \sf 2\cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{1+\sqrt{2}}{\sqrt{2}}}[/tex]

[tex]{:\implies \quad \sf \cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{1+\sqrt{2}}{2\sqrt{2}}}[/tex]

Rationalizing the denominator of RHS, will yield ;

[tex]{:\implies \quad \sf \cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{1+\sqrt{2}}{2\sqrt{2}}\times \dfrac{2\sqrt{2}}{2\sqrt{2}}}[/tex]

[tex]{:\implies \quad \sf \cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{2\sqrt{2}+4}{8}}[/tex]

[tex]{:\implies \quad \sf \cos^{2}\left(\dfrac{\pi}{8}\right)=\dfrac{2\sqrt{2}+4}{8}}[/tex]

[tex]{:\implies \quad \sf \cos \left(\dfrac{\pi}{8}\right)=\pm \sqrt{\dfrac{2\sqrt{2}+4}{8}}}[/tex]

Now, as we know that ;

Now, setting the same [tex]{\bf{{\theta}=\footnotesize \dfrac{\pi}{8}}}[/tex]

[tex]{:\implies \quad \sf 2\sin \left(\dfrac{\pi}{8}\right)\cos \left(\dfrac{\pi}{8}\right)=\sin \left(2\times \dfrac{\pi}{8}\right)}[/tex]

[tex]{:\implies \quad \sf 2\sin \left(\dfrac{\pi}{8}\right)\cos \left(\dfrac{\pi}{8}\right)=\dfrac{1}{\sqrt{2}}}[/tex]

[tex]{:\implies \quad \sf \sin \left(\dfrac{\pi}{8}\right)\left(\pm \sqrt{\dfrac{2\sqrt{2}+4}{8}}\right)=\dfrac{1}{2\sqrt{2}}}[/tex]

[tex]{:\implies \quad \sf \sin \left(\dfrac{\pi}{8}\right)=\dfrac{\sqrt{8}}{2\sqrt{2}(\pm \sqrt{2\sqrt{2}+4})}}[/tex]

[tex]{:\implies \quad \sf \sin \left(\dfrac{\pi}{8}\right)=\pm \dfrac{1}{\sqrt{2\sqrt{2}+4}}}[/tex]

This is the required answer

Answer:

z=6

Step-by-step explanation:

32=12+4(z-1)=

32=12+4z-4

32=8+4z

24=4z

6=z

9514 1404 393

Answer:

  35

Step-by-step explanation:

A = PB

A = (7%)(500) = 0.07×500 = 35

35 is 7% of 500

_____

You can think of the % symbol as being a shorthand way to write /100. That is, ...

  7% = 7/100 = "seven hundredths" = 0.07

#1

#2

#3

#4

#5

#6

#7

#8

Answer:

See below.

Step-by-step explanation:

#1) Audi symbol

#2) Under Armour Logo

#3) Chanel Logo

#4) Red Logo

#5) Mouse Logo

#6) Android Bot

#7) Nike logo

#8) Spider

Answer:

I'm pretty sure it is 7.4% or 0.074.

Step-by-step explanation:

Answer:

0.041 = 4.1%

Step-by-step explanation:

The probability the first box has a secret decoder ring is 13/62.

The probability the second box has a secret decoder ring is 12/61.

The probability of both is:

P = (13/62) (12/61)

P ≈ 0.041

Step-by-step explanation:

If you draw an altitude of the right triangle, you get that the legs are (18/2)=9 and the height (which I'll call x) and a hypotenuse of 18.

By the Pythagorean theorem,

[tex] {9}^{2} + {x}^{2} = {18}^{2} \\ 81 + {x}^{2} = 324 \\ {x}^{2} = 243 \\ x = \sqrt{243} = 9 \sqrt{3} [/tex]

Answer:

-13 is an integer, a rational number and also a real number

Step-by-step explanation:

-13 is an integer, a rational number and also a real number

Answer:

Quaters - Q=12

Dimes - D=10

Nickels - N= 48

Step-by-step explanation:

First, notice that $6.40 = 640 cents. The corresponding linear equation and a solution is shown below in several steps:

Original equation for amount of Dimes (D):

10*D  + 25*(D+2) +5*4*(D+2) = 640

Simplified as following, resulting in the answer for D:

55*D=550

D=10

thus having the amount of Quarters:

Q=12

and correspondingly, amount of Nickels:

N= 48

Answer:

Quarters = 12

And correspondingly, amount of Nickels:

Nickels = 48

Step-by-step explanation:

the answer is 44 you have to multiply 3 and 11 and you'll get 8 then calculate 33-8 and then subtract and then you get 25 so you put 44

Answer: n=8

Step-by-step explanation: 3+2+8=13

3+2=5 so 13-5=8

Answer:

n=8

Step-by-step explanation:

PEMDAS:

Solve out each side then subtract 5 from the side with n.

Work:

3+(2+8)=(3+2)+n

3+10=5+n

13=5+n

8=n

Answer:

66.00

Step-by-step explanation:

eleven pies have 6 slices each

Multiply 6 by 11 to get 66

66x1.00=66.00

Step-by-step explanation:

[tex] \red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}[/tex]

We know that,

Angle sum property,

[tex]\rule{200}{3}[/tex]

[tex] \sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}} [/tex]

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

[tex]\rule{200}{3}[/tex]

Second AnglE :

∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

[tex]\rule{200}{3}[/tex]

Third AnglE :

∴ Hence, the measure of the third angle of the triangle is 140°.

3nomber is right

Is it helpfui

I think its 3! ^w^

Sawarasenai kimi wa shoujo na no?~

Answer:

B and D

Step-by-step explanation:

Kitchen and Bedroom will have same number f boxes after James moved 3 boxes from the living room to the bedroom.

The kitchen and the bedroom will have the same number of boxes

The key on the graph implies that:

1 image represents 3 boxes

Using the above key, we have:

When 3 boxes are moved from the living room to the bedroom, we have:

Hence, the kitchen and the bedroom will have the same number of boxes

Read more about charts at:

https://brainly.com/question/24741444

#SPJ9

Answer:

[tex]S_{45}[/tex] = 9000

Step-by-step explanation:

there is a common difference between consecutive terms , that is

11 - 2 = 20 - 11 = 9

this indicates the sequence is arithmetic with nth term

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 2 and d = 9 , then

[tex]S_{45}[/tex] = [tex]\frac{45}{2}[/tex] [ (2 × 2) + (44 × 9) ]

    = 22.5(4 + 396)

    = 22.5 × 400

    = 9000

Answer: 6,760,000 different possible serial numbers.

Step-by-step explanation: There are 10 digits numbered 0 to 9. There are also 26 letters in the alphabet. Using this, we can do 10*10*10*10*26*26 as there are four digits needed and two letters. This computes to approximately 6,760,000 different possible serial numbers, assuming no other factors are involved.

Answermmm

Step-by-step explanation:

fff

Answer:

Area:

(3x-1) * (2x+4) = 6x² + 10x - 4

Perimeter:

((3x-1)*2) + ((2x+4)*2) = 10x + 6

Answer:

anything that has a numerator three times greater than its denominator. Examples: 3/1, 6/2, 9/3, 12/4, 15/5, so on.

Step-by-step explanation:

When simplifying, you divide both by the denominator and if it equals three, then the fraction is equal to three.

Answer:

i may be correct or not, i am not sure

Step-by-step explanation:

-34/5+-34/5 is -68/5 which is 13 3/5

Answer:

-13[tex]\frac{3}{5}[/tex]

Step-by-step explanation

[tex]-6\frac{4}{5} + -6\frac{4}{5}[/tex]                          

calculate

-13[tex]\frac{3}{5}[/tex]

Answer:

sides

Step-by-step explanation:

The perimeter is equal to the sides of the plane figure all added together.

Answer:

Simply put, algebra is about finding the unknown or putting real life variables into equations and then solving them. ... Algebra can include real numbers, complex numbers, matrices, vectors, and many more forms of mathematic representation

Step-by-step explanation:

By using the definition of inverse functions, we will see that:

g(g(f(f(f(36))))) = f(36) = 25.

Two functions f(x) and g(x) are inverses if:

f( g(x) ) = x

g( f(x) ) = x

Then we can rewrite:

g(g(f(f(f(36)))))

First, we can see that:

g(f(f(f(36)))) = f(f(36))

Replacing that in our expression, we get:

g(g(f(f(f36))))) = g(f(f(36)))

And the above expression is equal to f(36), to be sure of that, let's replace:

u = f(36)

Then we can rewrite:

g(f(f(36))) = g(f(u))

And by definition, the above thing is equal to u:

g(f(u)) = u = f(36).

Finally, we conclude that:

g(g(f(f(f(36))))) = f(36) = 3*√36 + 7 = 3*6 + 7 = 25

If you want to learn more about inverse functions, you can read:

https://brainly.com/question/12220962

Answer:

Step-by-step explanation:

d-b

d=12

b=3

12-3

=9

hope dis helps

Answer:

x=1 or x=2 or x=3 or x=4

Step-by-step explanation:

x4−10x3+35x2−50x+24=0

Step 1: Factor left side of equation.

(x−1)(x−2)(x−3)(x−4)=0

Step 2: Set factors equal to 0.

x−1=0 or x−2=0 or x−3=0 or x−4=0

x=1 or x=2 or x=3 or x=4

Answer:

22.5

Step-by-step explanation:

To find volume, you need to multiply all of the numbers together.

1.5 ft x 3 ft x 5 ft = 22.5

Answer: 8ft tall

Step-by-step explanation:

6/2=3

24/3=8

so the tree is 8ft tall