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ORDER THE SIDE LENGTHS FROM LEAST TO GREATEST

Answer:

a. The 95% confidence interval for the difference in mean is C.I. = -3.6 < μ₂ - μ₁ < 4.96

B. We are 95% confident that the difference in mean FNE scores for bulimic and normal students is inside the confidence interval

c.  The assumptions made are;

The variance of the two distributions are equal

Step-by-step explanation:

The given parameters are;

The mean for the 11 students with an eating disorder, [tex]\overline x_1[/tex] = 13.82

The standard deviation for the 11 students with an eating disorder, s₁ = 4.92

The mean for the 14 students who do not have an eating disorder, [tex]\overline x_2[/tex] = 13.14

The standard deviation for the 14 students with an eating disorder, s₂ = 5.29

a. The 95% confidence interval for the difference in mean is given as follows;

[tex]\left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2}\sqrt{ \hat \sigma^2 \times\left( \dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right)}[/tex]

The pooled standard deviation, is therefore;

[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]

Therefore;

[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( 11-1 \right )\cdot4.92^{2} +\left ( 14-1 \right )\cdot 5.29^{2}}{11+14-2}} \approx 5.13241[/tex]

Where at degrees of freedom, df = n₁ + n₂ - 2 = 25 - 2 = 23 the critical-t = 2.07

\left (13.82- 13.14  \right )\pm 2.07 \times\sqrt{5.13241^2 *(\dfrac{1}/{11}+\dfrac{1}{14}\right)}

[tex]C.I. = \left (13.82- 13.14 \right )\pm 2.07 \times\sqrt{5.13241^2 \times\left(\dfrac{1}{11}+\dfrac{1}{14}\right)}[/tex]

Therefore, we get;

[tex]C.I. = 0.68\pm 4.28[/tex]

C.I. = -3.6 < μ₂ - μ₁ < 4.96

b. Therefore, given that the confidence interval extends from positive to negative, therefore, there is a possibility that there is no difference between the mean FNE scores for bulimic and normal students

B. We are 95% confident that the difference in mean FNE scores for bulimic and normal students is inside the confidence interval

c.  The assumptions made are;

The variance of the two distributions are equal

Answer:

the diameter is 18 inches

Answer:

23.75+0.35x=Y

Step-by-step explanation:

It starts at $23.75. $0.35 is per mile so that means it will have an x. Add the two up and it is y.

Answer:

C. 450 ± 8.695

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.8331

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.8331\frac{15}{\sqrt{10}} = 8.695[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

Confidence interval is sample mean plus/minus margin of error. So

[tex]450 \pm 8.695[/tex]

The correct answer is given by option C.

Answer:

x=7°      y=4°

Step-by-step explanation:

7x+131=180

7x=180-131=49

x=49/7=7°

11x+y+99=180

77+y+99=180

y=180-99-77

y=4°

Answer: 0.05$ per ounce

Step-by-step explanation:

Answer:0.05 per oz.

Step-by-step explanation: divide 4.50 by the oz

Answer:

3/4 h

Step-by-step explanation:

Answer:

y = 6

Step-by-step explanation:

-2y = 4x – 4

y = -2x + 2

7x = -4(-2x+2) + 10

7x = 8x-8+10

7x = 8x+2

7x -2 = 8x

-2 = x

plug this into the first equation and the value of y is 6

The value of y using substitution method on the given simultaneous equations is; y = -2

We are given the equations;

-2y = 4x - 4 - - -(eq 1)

7x = - 4y + 10 - - - (eq 2)

From eq 1, divide through by -2 to isolate y;

y = -2x + 2

Substitute -2x + 2 for y in eq 2 to get;

7x = -4( -2x + 2) +10

Expand the bracket to get;

7x = 8x - 8 + 10

7x = 8x + 2

8x - 7x = 2

x = 2

Put 2 for x in y = -2x + 2 to get;

y = - 2(2) + 2

y = -4 + 2

y = -2

Read more about substitution method at; https://brainly.com/question/16863577

Answer:

C ) .   B= A/C

Step-by-step explanation:

A=bxc

A/C=B

Answer:

b is the answer

Step-by-step explanation:

a triangle equals up to 180 degrees and 75+43+62 equals 180

i hope this helps- im not sure if its correct or not

She has 36 shells

9+(9*3)

9+27

=36

Please mark as brainliest. :)

Answer:

Step-by-step explanation:

1) the formula for the area of the square is:  side^2

2) by solve the square root of the area

3) √81 ; √89

4) the side of the first square is a rational number, in fact Its value is 9, a number that can be expressed as a fraction (9/1).

the side of the second square is irrational, because √89 can‘t be expressed with a fraction, in fact it is a decimal number whose figures don’t repeat.

Answer:

The first one.

Step-by-step explanation:

Answer:

area = 5.3 m²

Step-by-step explanation:

r = d/2 = 2.6/2

r = 1.3

area = πr² = (3.14)(1.3²) = 5.31 m²

The area of a circle is pi r^2

if the diameter is 2.6m

r=d/2

=1.3

area= 22/7*2.6^2

=21.245m^2

Round to the nearest 10th

=20m^2

Answer:20m^2

Answer:

Last option, $58.50

Step-by-step explanation:

Let's look at the graph, and let's do a simple analysis of the information that it shows.

We can see that in 2009, the price was between $30 and $40.

We can see that as the years pass by, the price increases, such that in the year 2013 the selling price spikes and ranges between a bit less than $50 to a little more than $50.

Then we can only expect that a few years later (in 2016) the price to be larger than $50.

The only option that has a price larger than $50 is the last one, $58.50, then that one is the only option that can be the correct one.

We also could do an exact calculation of this if we had the raw data, but as you can see in the graph, we can not know the exact price of each graphed point (we can only estimate it) so we will not get a nice interpolation by only using the given graph.

Answer:

hewo nice to meet ya

Step-by-step explanation:

hi hello

Answer:

Hola!

*Spanish*

Gracias por los puntos!

Answer:

Your CORRECT answer will be B

Step-by-step explanation:

It is definantely not A, because it 102, not 120, so it b, c, or d.

102.081 sounds exact, but what about C? You cannot leave out the 0, so that's out too! 102.801? Say it out loud, doesn't make sense! So you have only one answer left, C.

Mark me brainliest!

Answer:

Step-by-step explanation:

the concepts are confusing of what a function is.   f(x)  seems mysterious , huh

it's just a way to give a label to some set of terms.  Just think of it as a name of a person, but in a generic sense, like   hey "guy"   or hey "gal"  you can address many people that way.  f(x) is doing that same thing addressing by a name,  a set of math terms.  

a)  

in a)  we are addressing the g(x) function and we are also sending that function the number -2 as an input. so find the g(x) function and put in (-2) everywhere that there is an "x" , so

g(x)=[tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11

g(-2) = [tex](-2)^{3}[/tex]-3[tex](-2)^{2}[/tex]+2(-2)+11

g(-2) = -8 -3(4) - 4 +11

g(-2) = -8 -12 -4 + 11

g(-2) = -24 + 11

g(-2) = -13

b)  

h(-1)  find the h(x) function and input a negative 1 where ever there is an x

h(x) =

h(-1) = [tex](-1)^{2}[/tex] - 3

h(-1) = 1 - 3

h(-1) = -2

c)

for c)  just combine like terms of the two given functions

g(x) - h(x)  =  [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11 - ([tex]x^{2}[/tex] - 3)

g(x) - h(x)  = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11 - [tex]x^{2}[/tex] + 3

g(x) - h(x)  = [tex]x^{3}[/tex]-4[tex]x^{2}[/tex]+2x + 14

d)

-2f(x) - h(x) = -2(3x + 2) - ([tex]x^{2}[/tex] - 3)

-2f(x) - h(x) = -6x - 4 - [tex]x^{2}[/tex] + 3

-2f(x) - h(x) = -6x - 1 - [tex]x^{2}[/tex]

-2f(x) - h(x) = - [tex]x^{2}[/tex] - 6x - 1

e)

f(h(x))  this gets a bit more confusing b/c it's  a composition of functions,  that's just a fancy way of saying the functions are nested. one inside the other.

f(x) = 3x + 2

h(x) = [tex]x^{2}[/tex] - 3

plug h(x) in to f(x) where ever there is an x in f(x)   , luckily there is only one x in f(x)  :)

f(h(x)) = 3([tex]x^{2}[/tex] - 3) + 2

f(h(x)) = 3[tex]x^{2}[/tex] - 9 + 2

f(h(x)) = 3[tex]x^{2}[/tex] - 7

f(h(x)) = 3[tex]x^{2}[/tex] + 0x + (-7)  

f)

f(x) = 3x + 2

g(x) = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11

f(g(x)) = 3([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11) + 2

f(g(x)) = 3[tex]x^{3}[/tex]-9[tex]x^{2}[/tex]+6x + 33 + 2

f(g(x)) = 3[tex]x^{3}[/tex]-9[tex]x^{2}[/tex]+6x + 35

Hope that helps :)

Answer:

If he gave 1 part to his friend then he will have 3 parts left. Is that what you needed help on?

Answer:

2x-4=3x+9

    +4     +4

2x=3x+13

-3x -3x

-x=13

x= -13

Step-by-step explanation:

Answer:

The answer is B-452.4

Step-by-step explanation:

The formula for volume of a cylinder is V= πr^2h

so you would do 3.14 times 6 squared times 4

6 squared is 36 times 4 equals 144. Then you multiply that by pi, or 3.14 and you get 452.16 round to the nearest tenth and get 452.2

Hope this helps!

Answer:

x=2

Step-by-step explanation:

To solve this equation combine like terms and move all like terms to the same side. Then, isolate the variable.

First, combine like terms that are on the same side,

-10x+4=-2x-12

Next, move -10x to the other side by adding it to both sides,

4=8x-12

Then, add 12 to both sides as well,

16=8x

Finally, isolate x by dividing the whole equation by 8,

2=x

Answer:

x=2

Step-by-step explanation:

I know the answer is x=2.

First, I set up the equation.

-7x+4-3x=-2x-12

Next, I added like values on each side.

-10x+4=-2x-12

Then, I added 10x to both sides.

4=8x-12

Then, I added 12 to both sides.

16=8x

Next, I divided 8 on both sides.

2=x

To make sure 2 is the true value of x, I inserted 2 to all values of x in the equation. -7(2)+4-3(2)=-2(2)-12. Both sides of the equation are -16. So, 2 is the real value of x in this equation.

Answer:

x=8/15

Step-by-step explanation:

2x-1/4+3x-2/3=25/12

2x+3x=25/12+1/4+1/3

5x=25/12+3/12+4/12

5x=32/12

5x=8/3

x=8/3÷5

x=8/15

Answer: 3 over 5

Step-by-step explanation:

Step-by-step explanation:

sorry po hindi ko po alam sagot

Solution:

The difference of cubes identity is

if a and b are any two real numbers, then difference of their cubes, when taken individually:

a³-b³= (a-b)(a² + ab + b²)→→→Option (D) is

true option.

I will show you, how this identity is valid.

Taking RHS

(a-b)(a² +b²+ab)

= a (a² +b²+ab)-b(a² +b²+ab)

= a³ + a b² +a²b -b a² -b³-ab² Cancelling like terms, we get

= a³-b³

= LHS

Answer:

24 different options

Step-by-step explanation:

3 cake type options

2 frosting options

4 radius sizes

3 * 2 * 4 = 24 different options

Answer:

800

Step-by-step explanation:

First what you need to do is find the scale of magnification, which you can do with 500/1.2. You will get 416.6667 as the scale. You then need to multiply the scale by 1.92, which nets you the actual distance of 800 miles.

Hope this helps!