Eight trials are simulated. The results are shown in the table. Simulation 112 106 105 110 109 108 111 105 What is the estimated margin of error, using standard deviation? Enter your answer, rounded to two decimal places, in the box.

Answer:

D trapezoid

Step-by-step explanation:

i used the graphing demos

Answer:

[tex]V = \frac{\pi^2}{8}[/tex]

[tex]V = 1.23245[/tex]

Step-by-step explanation:

Given

[tex]y = \cos 2x[/tex]

[tex]y = 0; x = 0; x = \frac{\pi}{4}[/tex]

Required

Determine the volume of the solid generated

Using the disk method approach, we have:

[tex]V = \pi \int\limits^a_b {R(x)^2} \, dx[/tex]

Where

[tex]y = R(x) = \cos 2x[/tex]

[tex]a = \frac{\pi}{4}; b =0[/tex]

So:

[tex]V = \pi \int\limits^a_b {R(x)^2} \, dx[/tex]

Where

[tex]y = R(x) = \cos 2x[/tex]

[tex]a = \frac{\pi}{4}; b =0[/tex]

So:

[tex]V = \pi \int\limits^a_b {R(x)^2} \, dx[/tex]

[tex]V = \pi \int\limits^{\frac{\pi}{4}}_0 {(\cos 2x)^2} \, dx[/tex]

[tex]V = \pi \int\limits^{\frac{\pi}{4}}_0 {\cos^2 (2x)} \, dx[/tex]

Apply the following half angle trigonometry identity;

[tex]\cos^2(x) = \frac{1}{2}[1 + \cos(2x)][/tex]

So, we have:

[tex]\cos^2(2x) = \frac{1}{2}[1 + \cos(2*2x)][/tex]

[tex]\cos^2(2x) = \frac{1}{2}[1 + \cos(4x)][/tex]

Open bracket

[tex]\cos^2(2x) = \frac{1}{2} + \frac{1}{2}\cos(4x)[/tex]

So, we have:

[tex]V = \pi \int\limits^{\frac{\pi}{4}}_0 {\cos^2 (2x)} \, dx[/tex]

[tex]V = \pi \int\limits^{\frac{\pi}{4}}_0 {[\frac{1}{2} + \frac{1}{2}\cos(4x)]} \, dx[/tex]

Integrate

[tex]V = \pi [\frac{x}{2} + \frac{1}{8}\sin(4x)]\limits^{\frac{\pi}{4}}_0[/tex]

Expand

[tex]V = \pi ([\frac{\frac{\pi}{4}}{2} + \frac{1}{8}\sin(4*\frac{\pi}{4})] - [\frac{0}{2} + \frac{1}{8}\sin(4*0)])[/tex]

[tex]V = \pi ([\frac{\frac{\pi}{4}}{2} + \frac{1}{8}\sin(4*\frac{\pi}{4})] - [0 + 0])[/tex]

[tex]V = \pi ([\frac{\frac{\pi}{4}}{2} + \frac{1}{8}\sin(4*\frac{\pi}{4})])[/tex]

[tex]V = \pi ([{\frac{\pi}{8} + \frac{1}{8}\sin(\pi)])[/tex]

[tex]\sin \pi = 0[/tex]

So:

[tex]V = \pi ([{\frac{\pi}{8} + \frac{1}{8}*0])[/tex]

[tex]V = \pi *[{\frac{\pi}{8}][/tex]

[tex]V = \frac{\pi^2}{8}[/tex]

or

[tex]V = \frac{3.14^2}{8}[/tex]

[tex]V = 1.23245[/tex]

Answer:

believe it is "the median is 82."

Step-by-step explanation:

55,66,82,89,90,92

there are 6 numbers so in order to find the median here you would have to add 82 and 89 together and then divide by 2.

82+89=171

171/2=85.5

hence "the median is 82." is the right answer

Answer:

(x + 5)^2 + (y + 1)^2 = 2^2

Step-by-step explanation:

I see that the instructions here call for "completing the square."

We need to rewrite x^2 + y^2 + 10x + 2y + 22 = 0 in the standard equation-of-a-circle formula (x - h)^2 + (y - k)^2 = r^2.

Start with x^2 + y^2 + 10x + 2y + 22 = 0,  Group x terms together, then y terms:

x^2 + 10x   + y^2 + 2y = -22

Going through the steps of completing the square, we insert additional constants:

x^2 + 10x + 25 - 25 + y^2 + 2y + 1 - 1 = -22, or

 x^2 + 10x + 25   + y^2 + 2y + 1 = + 25 + 1 - 22 = 4

Rewrite x^2 + 10x + 25 as (x + 5)^2, and y^2 + 2y + 1 as (y + 1)^2

after which the original equation becomes  (x + 5)^2 + (y + 1)^2 = 2^2

Answer:

280in

Step-by-step explanation:

Answer:

280 in. ^3

Step-by-step explanation:

40 x 7

l=36in

width = 12in

there's ur answer

Answer:

8,560

Step-by-step explanation:

8000 x .02 interest/year x 3.5years=560 interest earned

8000+560=8,560 investment worth after 3.5 years

Answer: The pair of corresponding angles are ∠2 and ∠14 , ∠3 and ∠7 . Option (B) and (D) is correct . When two lines are parallel to each other and cross by another line i.e is called the Transversal , the angles lies in the matching corners are called corresponding angles.

hope it helps!!

From the options given, the angles that are pairs of corresponding angles given in the image are:

Corresponding angles will always lie on the same transversal and occupy the same relative position on the two different parallel lines that are intersected by the transversal.

Therefore, from the options given, the angles that are pairs of corresponding angles given in the image are:

Learn more about corresponding angles on:

https://brainly.com/question/2009183

Answer:

It would have to be 3 m deep

Step-by-step explanation:

2x5xy=30

2x5x3=30

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

The equation in vertex form is ...

  H(x) = 5(x^2 -2x) = 5(x^2 -2x +1) -5

  H(x) = 5(x -1)^2 -5

The only value of x that will make H(x) = -5, is x=1.

Answer:

It is not a polynomial function, because it includes a negative exponent.

Answer:

Step-by-step explanation:

Leading coefficient = 9

It is in standard form.

It is degree 4

It is a polynomial (I don't think there is a special name for degree 4). Time to eat crow. A 4th degree Polynomial is a quartic.

I didn't notice the power is -2. I am incorrect in telling you it was a polynomial (function). As I noted below, more crow to eat. Please give the Brainliest to the other responder

I don't understand it sorry

Answer:

Step-by-step explanation:

1)

Given that:

The joint pmf  [tex]p_{X,Y(a,b)}=\left \{ {{\dfrac{1}{4a} \ for \ 1 \le b \le a \le 4 } \\ \\ \atop {0} \ \ \ \ \ \ otherwise} } \right.[/tex]

To emphasize that this is a joint pmf;

We will notice that it obeys two conditions;

Except that X and Y are integer value variables with 1 ≤ b ≤ a ≤ 4 and X = 1, 2, 3, 4 and Y = 1, 2, 3, 4 respectively, according to the condition Y ≤ X

The  table below shows the joint probabilities as a result of this:

              y = 1         y = 2        y = 1         y = 4          Total

x = 1          [tex]\dfrac{1}{4}[/tex]             0                0             0               [tex]\dfrac{1}{4}[/tex]

x = 2         [tex]\dfrac{1}{8}[/tex]             [tex]\dfrac{1}{8}[/tex]                 0             0               [tex]\dfrac{1}{4}[/tex]

x = 3        [tex]\dfrac{1}{12}[/tex]           [tex]\dfrac{1}{12}[/tex]               [tex]\dfrac{1}{12}[/tex]              0              [tex]\dfrac{1}{4}[/tex]  

x = 4        [tex]\dfrac{1}{16}[/tex]           [tex]\dfrac{1}{16}[/tex]               [tex]\dfrac{1}{16}[/tex]              [tex]\dfrac{1}{16}[/tex]             [tex]\dfrac{1}{4}[/tex]

Total       [tex]\dfrac{25}{48}[/tex]            [tex]\dfrac{13}{48}[/tex]             [tex]\dfrac{7}{48}[/tex]                 [tex]\dfrac{3}{48}[/tex]           1

In the table, it is obvious that each respective value of the probability is positive and the addition of all the values sums up to unity (1).

Hence, the given probability shows that it is indeed a pmf(probability mass function).

(b)

Marginal Pmf of x = [tex]\dfrac{sum \ of \ all \ prob. \ of (x,y)}{y}[/tex]

Marginal Pmf of y =  [tex]\dfrac{sum \ of \ all \ prob. \ of (x,y)}{x}[/tex]

Thus, we can locate the respective values of the marginal probability in the last row as well as the last column in the explained table above.

(c)

To find P(X=Y+1):

P(X = Y + 1) = P(X = 2,3,4)

⇒ 1 - P(X=1)

[tex]\implies 1 - \dfrac{1}{4} \\ \\ \implies \dfrac{4-1}{4} \\ \\ \implies \dfrac{3}{4}[/tex]

Answer:

72 centimeters

Step-by-step explanation:

V=bh or l*w*h

V=6*3*4 = 72 cm

Answer:

B. f(x) = 4x² + 2

Step-by-step explanation:

f(x) = 4 (x - 0)² + 2

vertex: (0 , 2) with vertical stretch

Answer: .0142%

Step-by-step explanation:

The probability that Justin passes his final exam is 0.0147%

The given parameters are:

Only one of the options can be correct.

So, the probability that he answers a question correctly is:

p = 1/3

To get a pass mark of 75, he must score at least 15.

So, the probability is represented using:

P(x >= 15) = P(15) + P(16) + ..... + P(20)

Each probability is calculated using:

[tex]P(x) = ^nC_r * p^x *(1 -p)^{n - x}[/tex]

Using the above formula, we have:

P(15) = 0.00012546624

P(16) = 0.0000193115

P(17) = 0.00000223803

P(18) < 0.000001

P(19) < 0.000001

P(20) < 0.000001

When the above probabilities are added, we have:

P(x >= 15) = 0.00014720925

Express as percentage

P(x >= 15) = 0.014720925%

Approximate

P(x >= 15) = 0.0147%

Hence, the probability that Justin passes is 0.0147%

Read more about probability at:

https://brainly.com/question/251701

Answer:

The per capita GDP of Switzerland is $ 80,307.51.

Step-by-step explanation:

Given that the GDP in Switzerland is 679 billion and the rate of inflation is 2.5%, if the population of Switzerland is 8,455,000, to find the GDP per capita in this country the following calculation must be performed, knowing that the GDP per capita is equal to the division of the GDP of a country by the number of its inhabitants:

679,000,000,000 / 8,455,000 = X

679,000,000 / 8,455 = X

80,307.51 = X

Therefore, the per capita GDP of Switzerland is $ 80,307.51.

Answer: 78299.82259078299.82

Step-by-step explanation: you take the GPD - (GPD x inflation rate) then divide the answer by population

Answer:

Step-by-step explanation:

radius=diameter/2

=12/2

=6 ft

area of a circular pool=πr^2

=3.14*(6)^2

=3.14*36

=113.04 ft^2

Answer:

Utiliza la regla

Step-by-step explanation:

Y te sacarasb10

Answer:

Both of these values don't have asymptotes.

Answer:

Both of these values don't have asymptotes.

Answer:

Step-by-step explanation:

Divide the figure into 2 parts:

Figure 1 = 3m*5m = 15m^2

Figure 2 = 2m*1m = 2m^2

Add them: 15+2 = 17m^2

Hence, area is 17m^2

Feel free to mark as brainliest :D

Answer:B

Step-by-step explanation:

Answer:

1, 2, and 4

Step-by-step explanation:

To Find Surface Area:

So Surface area is found according to this equation SA=2lw+2lh+2hw

6and 1/2 times 2 is 13 that would be the 2 sides

then you do 3 times 6 1/2 which is 19 1/2, which is the top and bottom

finally you do 3 times 9 1/5 which is 27 3/5.

Now since 1/2 and 1/5 are not the same, we find the LCM or Least Common Multiple, which is 10 so 1/2 is multiplied by 5 which is 5/10 and 3/5 is multiplied by 2 which makes 6/10.

Adding 5/10 and 6/10 is 11/10 or 1 1/10

13+6+9=28

28+1 1/10 = 29 1/10

and finally because we did surface area it is 29 1/10 CM^2

__________________________________________________________

To Find Volume:

The Equation used to find volume is l*w*h

The Length is 6 1/2

Height is 9 1/5

width is 3

First, lets again convert the fractions

5/10 and 6/10

6 5/10 times 9 6/10 is 62.4

62.4 times 3 is 187.2

The .2 and be put into 2/10 or 1/5  so the FINAL answer is 187 1/5

Another way to check this is

6*9*3=162

1/5*1/2

Hope this helped :)

~Ukiahsmith1

Answer:

So Surface area is found according to this equation SA=2lw+2lh+2hwStep-by-step explanation:

Answer:

y = 0.0807x - 3.4286

Step-by-step explanation:

Given the data above :

X :

1400

1700

1500

Y:

108

133

120

Using a linear regression calculator, the regression equation obtained is :

y = 0.0807x - 3.4286

Slope = 0.0807

Intercept = - 3.4286

x = predictor variable

y = predicted variable

9514 1404 393

Answer:

Step-by-step explanation:

This takes graph-reading one step further. You get to estimate the y-value without benefit of minor grid lines. You must mentally divide the 10-unit distance between grid lines into equal spaces. Then estimate how many of those spaces lie between the point and the nearest grid line.

You can do this more precisely by drawing a diagonal line across the grid from one major grid intersection to one that is (5, 1) or (5, -1) major grid points away. Where that line crosses the intermediate grid lines, the vertical measure will be some multiple of 1/5 of the vertical difference between grid points. For example, a line from (0,20) to (5,30) will cross at (1,22), (2,24), (3,26), and (4,28). You can use these reference points to identify the y-values at f(0) and f(d).

Here's our eyeball estimate:

Answer:

Volume of pentagon = 27.52 yd² (Approx.)

Step-by-step explanation:

Given:

Length of base of pentagon = 2 yd

Height of pentagon = 4 yd

Find:

Volume of given figure

Computation:

Volume of given figure = Volume of pentagon

Volume of pentagon = (1/4)(a²)(h)√5(5+2√5)

Volume of pentagon = (1/4)(2²)(4)√5(5+2√5)

Volume of pentagon = (4)√5(5+2√5)

Volume of pentagon = (4)√5[5+2(2.236)]

Volume of pentagon = (4)√5[5+4.472]

Volume of pentagon = (4)√5[9.472]

Volume of pentagon = (4)√47.36

Volume of pentagon = 4[6.8818]

Volume of pentagon = 27.52 yd² (Approx.)

Answer:

As both the standard deviation and the mean have the desired values, the tool passes the technical control.

Step-by-step explanation:

Mean:

The mean is the sum of all values divided by the number of values.

[tex]M = \frac{199+204+201+197+195+204+200}{7} = 200[/tex]

The mean is in the desired range.

Standard deviation:

The standard deviation is the square root of the sum of the difference squared between each value and the mean, divided by the number of values.

[tex]S = \sqrt{\frac{(199-200)^2+(204-200)^2+(201-200)^2+(197-200)^2+(195-200)^2+(204-200)^2+(200-200)^2}{7}} = 1.18[/tex]

As both the standard deviation and the mean have the desired values, the tool passes the technical control.

A) 3 + 3x is the answer.

.. ..

Answer:

it's A

have a great day ......