The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (^); for example, enter x^2 as x^2. Do
not include "G(x) =" in your answer.​

Answer:

Step-by-step explanation:

a) So... To work out the average or mean age we must first calculate the total age.

19 x 2 = 38

20 x 3 = 60

21 x 1  = 21

22 x 4 = 88

23 x 1 = 23

Total = 230

Then... Divide the number of players with this figure

Number of players =  2 + 3 + 2 + 4 + 1 = 11

230/11 = 20.9 is the average age of the players

b) We know the average will now be 22 and we know the number of players is now 12.

So... 22 x 12 = 264 (This will be the new total age of all the players)

We know the previous total was 230

So.. 264-230 = 34 (years old)

Hope this helps

Answer:

180-130 = 50 degrees because its same side angle

m<2 = 50

Step-by-step explanation:

the second one m<1 is 105 for the same reason

Answer:

1st one =  d y^27

2nd one = b 2x^9

Step-by-step explanation:

1st one: since the power is being raised to the power of 3 you multiply the numbers

2nd one: the powers aren't being raised so you add the powers together.

12x^13y^10/6X^4y^10

then dividing for exponents is subtracting them so

2x^9 since y gets canceled out

Answer:

20) -43

21) 25

22)-9

Step-by-step explanation:

20) -6 (-6 + 49)/6 = -43

21) 10 - (-10 - (-1 + 6)) = 25

22) 1 - 10/2 - 5 = -9

Step-by-step explanation:

Let's calculate the expression khowing that m= 1 and n = 5

Let's calculate the expression khowing that n= -7 and p= - 6

Let's calculate the expression khowing that n = -6 and m = -1 and p = -10

Answer:

6

Step-by-step explanation:

Arrange the data from smallest to largest

1,3,6,7,9

The median is the middle number

1,3   ,6,   7, 9

The middle number is 6

Answer:

a) P(X∩Y) = 0.2

b) [tex]P_1[/tex] = 0.16

c) P = 0.47

Step-by-step explanation:

Let's call X the event that the motorist must stop at the first signal and Y the event that the motorist must stop at the second signal.

So, P(X) = 0.36, P(Y) = 0.51 and P(X∪Y) = 0.67

Then, the probability P(X∩Y) that the motorist must stop at both signal can be calculated as:

P(X∩Y) = P(X) + P(Y) - P(X∪Y)

P(X∩Y) = 0.36 + 0.51 - 0.67

P(X∩Y) = 0.2

On the other hand, the probability [tex]P_1[/tex] that he must stop at the first signal but not at the second one can be calculated as:

[tex]P_1[/tex] = P(X) - P(X∩Y)

[tex]P_1[/tex] = 0.36 - 0.2 = 0.16

At the same way, the probability [tex]P_2[/tex] that he must stop at the second signal but not at the first one can be calculated as:

[tex]P_2[/tex] = P(Y) - P(X∩Y)

[tex]P_2[/tex] = 0.51 - 0.2 = 0.31

So, the probability that he must stop at exactly one signal is:

[tex]P = P_1+P_2\\P=0.16+0.31\\P=0.47[/tex]

Answer:

18.2 :)

Have a great day!!!

Answer:

h = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

y = 2x² + 6x + 11 ( factor out 2 from the first 2 terms )

   = 2(x² + 3x) + 11

Using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 3x

y = 2(x² + 2([tex]\frac{3}{2}[/tex] )x + [tex]\frac{9}{4}[/tex] - [tex]\frac{9}{4}[/tex] ) + 11

  = 2(x + [tex]\frac{3}{2}[/tex] )² - [tex]\frac{9}{2}[/tex] + 11

  = 2(x + [tex]\frac{3}{2}[/tex] )² + [tex]\frac{13}{2}[/tex] ← in vertex form

with h = - [tex]\frac{3}{2}[/tex]

Answer:

50

Step-by-step explanation:

If you mean find the sum of 11, 26, and 13, all you have to do is add those three together.

11 + 26 + 13 = 50

Answer:

11+26+13=50

Step-by-step explanation:

PLZ MARK BRAINLIEST

Answer:

14%

Step-by-step explanation:

On edge 2020

Answer:

a) [tex]0.823 - 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.799[/tex]

[tex]0.823 + 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.847[/tex]

The 95% confidence interval would be given by (0.799;0.847)

b) [tex]n=\frac{0.823(1-0.823)}{(\frac{0.03}{1.96})^2}=621.79[/tex]  

And rounded up we have that n=622

c) [tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11[/tex]  

And rounded up we have that n=1068

Step-by-step explanation:

Part a

[tex]\hat p=\frac{823}{1000}=0.823[/tex]

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. And the critical value would be given by:

[tex]z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96[/tex]

The confidence interval for the mean is given by the following formula:  

[tex]\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]

If we replace the values obtained we got:

[tex]0.823 - 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.799[/tex]

[tex]0.823 + 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.847[/tex]

The 95% confidence interval would be given by (0.799;0.847)

Part b

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

And on this case we have that [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.823(1-0.823)}{(\frac{0.03}{1.96})^2}=621.79[/tex]  

And rounded up we have that n=622

Part c

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11[/tex]  

And rounded up we have that n=1068

Answer:

[tex]4\cdot x + 2 \leq 50[/tex]. La solución de la inecuación es todo número real menor o  igual a 12.

Step-by-step explanation:

El primer paso consiste en traducir la expresión en una expresión algebraica:

1) Un número: [tex]x[/tex]

2) El cuádruplo de un número: [tex]4\cdot x[/tex]

3) El cuádruplo de un número y aumentado en 2: [tex]4\cdot x + 2[/tex]

4) El cuádruplo de un número y aumentado en 2 es menor o igual que 50: [tex]4\cdot x + 2 \leq 50[/tex]

Como siguiente paso, se resuelve la inecuación por métodos algebraicos:

1) [tex]4\cdot x + 2 \leq 50[/tex] Dado

2) [tex]4\cdot x \leq 48[/tex] Compatibilidad con la adición/Existencia del inverso aditivo/Modulatividad en la adición.

3) [tex]x \leq 12[/tex] Compatibilidad con la multiplicación/Existencia del inverso multiplicativo/Modulatividad en la multiplicación/Resultado.

En consecuencia, la solución de la inecuación es todo número real menor o  igual a 12.

Answer:

1. 77520

2. [tex]P_1[/tex] = 0.0017

3. [tex]P_2[/tex] = 0.0019

4. [tex]P_3[/tex] = 0.9981

5. [tex]P_4[/tex] = 0.2036

Step-by-step explanation:

The number of ways or combinations in which we can select x elements from a group of n can be calculated as:

[tex]nCx = \frac{n!}{x!(n-x)!}[/tex]

So, there are 77520 selections that result in all 7 workers coming from the day shift. It is calculated as:

[tex]20C7 = \frac{20!}{7!(20-7)!}=77520[/tex]

At the same way, the total number of selections of 7 workers from the 45 is 45C7, so the probability that all 7 selected workers will be from the day shift is:

[tex]P_1=\frac{20C7}{45C7} =0.0017[/tex]

The probability that all 7 selected workers will be from the same shift is calculated as:

[tex]P_2=\frac{20C7+15C7+10C7}{45C7} =0.0019[/tex]

Because the consultant can select all workers from the day shift (20C7) or can select all workers from the swing shift (15C7) or can select all workers from the graveyard shift (10C7).

On the other hand, the probability that at least two different shifts will be represented among the selected workers is the complement of the probability that all 7 selected workers will be from the same shift. So it is calculated as:

[tex]P_3 = 1- P_2=1 - 0.0019 = 0.9981[/tex]

Finally, the probability that at least one of the shifts will be un-represented in that sample of workers is:

[tex]P_4=\frac{25C7+30C7+35C7}{45C7} =0.2036[/tex]

Where 25C7 is the number of ways to select all 7 workers from swing or graveyard shift, 30C7 is the number of ways to select all 7 workers from day or graveyard shift and 35C7 is the number of ways to selects all 7 workers from day shift and swing shift.

Hey there!

To solve this, we need to plug each of our answer options into the inequality and see if it is true. Which ever one doesn't make the inequality true when plugged in is the answer.

OPTION A

(x,y)=(-3,0)

We plug our values into the inequality.

0≥ I-3I+3

You may have noticed the bars surrounding the negative three.. If you didn't know, this is called absolute value. Absolute value is how far the number is from 0 on the number line. -7 is 7 away from 0 on a number line, so the absolute value of -7 is 7. The absolute value of 7 is 7. The absolute value of 0 is 0. Absolute value is signified by these bars. Le'ts finish evaluating.

0≥6

As you can see, zero is not greater than or equal to six. So, option A is false.

Since A is not a solution, we already know that that is the answer, so we don't even need to check B and C. But, we can still evaluate them if you want.

OPTION B

6≥I-3I+3

6≥6

This is true.

OPTION C

4≥I0I+3

4≥3

This is also true.

Therefore, the answer is A. (-3,0)

Have a wonderful day!

Hello!!

Circumference of a circle = 2πr

and

Given, 2πr = 44cm

So,

πr = 44/2 = 22

r = 22 × 7/22

r = 7cm is the answer.

Stay safe and God bless!

- eli <3

Answer:

7 cm

Step-by-step explanation:

Circumference of a circle is 2 π r

2πr = 44

Solve for radius.

r = 44/(2π)

r = 7.002817

Answer:

They will all fit plus an additional 3

Step-by-step explanation:

Find the volume of the whole box 1st.

Volume = 15×28×20 = 8400 centimeters^3

Next find the volume of the disc 2and

Volume = 19.3×14.2×1.5 = 411.09 centimeters^3

Since we know the volume of both we now have to multiply the number of disc by its volume.

6988.53 = 411.09(17)

8400-6988.53= 1411.47

1411.47/ 411.09 = 3.4 MEANING 3 more fit

The approximation of the integral using the Midpoint Rule with n = 4 is -6.0400.

To approximate the integral using the Midpoint Rule, divide the interval [0, 80] into n subintervals of equal width.

The width of each subinterval is given by

Δx = (b - a) / n,

where a = 0 and b = 80 are the lower and upper bounds of the integral, respectively.

Given:

n = 4,

and, Δx = (80 - 0) / 4 = 20.

Now, the midpoints of the subintervals are:

x₁ = 0 + (Δx / 2)

   = 10,

x₂ = 10 + (Δx / 2)

   = 30,

x₃ = 30 + (Δx / 2)

   = 50,

x₄ = 50 + (Δx / 2)

   = 70.

Now, evaluate sin(x) at each midpoint:

sin(10) = 0.1745,

sin(30) = -0.9880,

sin(50) = -0.2624,

sin(70) = 0.7739.

Next, sum up the results and multiply by Δx:

Approximation = [tex]\Delta x * (sin(10) + sin(30) + sin(50) + sin(70))[/tex]

                          = 20 * (0.1745 - 0.9880 - 0.2624 + 0.7739)

                          = 20 * (-0.3020)

                           = -6.0400.

Therefore, the approximation of the integral is -6.0400.

Learn more about Midpoint Rule here:

https://brainly.com/question/32577892

#SPJ4

Answer:

Step-by-step explanation:

(a) The linear approximation of g(x) at x=b will be ...

  g(x) ≈ g'(b)(x -b) +g(b)

Using the given relations, this is ...

  g'(3) = 3² +7 = 16

  g(x) ≈ 16(x -3) -1

Then the points of interest are ...

  g(2.95) ≈ 16(2.95 -3) -1 = -1.8

  g(3.05) ≈ 16(3.05 -3) -1 = -0.2

__

(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)

Answer:

7.5 rating points

Step-by-step explanation:

The computation of the rating for Men 18-34 for program X is shown below:

Given that

Number of men 18 -34 watched a program X = 15,000 = X

Number of men 18 - 34 watched in a same time = 32,000

And, the total households in the market = 200,000 = Y

So, the rating for men 18-34 for program x is

[tex]= \frac{X}{Y}[/tex]

[tex]= \frac{15,000}{200,000}[/tex]

= 7.5 rating points

We simply applied the above formula

Answer:

We accept H₀

Step-by-step explanation:

Population mean  μ₀ = 47500

Population standard deviation unknown

Sample size    n = 86   degree of freedom  df = 86 - 1  df = 85

Sample mean    μ = 48061

Sample standard deviation 2,351

The claim implies a two tail test with t-studend distributon

Null  Hypothesis                 H₀               μ  =  μ₀

Alternative Hypothesis      Hₐ               μ  ≠  μ₀      

Confidence Interval  mean α = 0,02     and   α/2  =  0,01

With α/2 and df = 85, from t-table we find  t(c)  critical value

t(c) = 2,3710

We compute t(s) as

t(s)  =  ( μ - μ₀ ) / s /√n

t(s)  = ( 48061 - 47500 )/ 2351/√86

t(s)  = 561 * 9,273 / 2351

t(s) = 2,212

Now we compare t(s) and t(c)

t(s) < t(c)       2,212  < 2,371

Then we are in the acceptance region. We accept H₀

Explanation:

The notation [tex]T_{-3,5}(x,y)[/tex]  or means to move any point (x,y) along the vector <-3,5>. Put another way, it says to shift (x,y) three units to the left and five units up. The x portion deals with left or right shifting, the y portion deals with up or down shifting. Since the x portion is negative, we go in the negative direction on the x axis. Y being positive means we move up rather than down.

This all means we end up with the translation rule [tex](x,y) \to (x-3,y+5)[/tex]

Answer:

264

Step-by-step explanation:

[tex]3(2(6+4(7+3)-2))=\\3(2(6+4(10)-2))=\\3(2(6+40-2))=\\3(2(46-2))=\\3(2(44))=\\3(88)=\\264[/tex]

Answer:

The complete tables are shown below.

The value of x is 70.59%.

Step-by-step explanation:

Absolute frequency table:

         Square   Rectangle Row Total

Bright            25         10              35

Off White    23         10              33

Column Total    48         20              68

Relative frequency table

                                   Square Rectangle Row total

                 Row%      71.43%  28.57%          100.00%

Bright Column%     52.08%  50.00%             ____

                 Total%      36.76%    14.71%            51.47%

                   Row%      69.70%  30.30%          100.00%

Off White  Column%   47.92%  50.00%              ___

                   Total%      33.83%    14.71%           48.53%

                   Row%          ____                  ____            100.00%

Column  Column%       100.00%           100.00%  100.00%

                  Total%       x  = 70.59%     29.41%  100.00%

[tex]\text{Value of}\ x=100.00\%-29.41\%=70.59\%[/tex]

Answer:

Square Rectangle Row total

Bright white 25 15 40

Off-white 23 10 33

Column total 48 25 73

x = 30.3x=30.3

Step-by-step explanation:

i know this is write because i got it wrong

Answer:

0.28

Step-by-step explanation:

If the probability that the student does take statistics is 0.72, then it must mean that the rest of the students will not take statistics.

1 - 0.72 = 0.28

0.28 will be the probability that the student does not take statistics.

Answer:

Equilateral

Acute

Step-by-step explanation:

The sides are all equal as indicated by the lines on each side - Equilateral

The angles are all equal by the angle marks  180/3 = 60 which is less than 90 degrees.  This makes the angles acute

Answer:

A=50.26548246units^2

Step-by-step explanation:

Radius is 4 because half the diameter (8) is the radius (4)

A=πr^2

A=π(4)^2

A=50.26548246units^2

Answer:

16 pi unit^2

Step-by-step explanation:

The diameter is 8 so we can find the radius

r = d/2 =8/2 = 4

The area is given by

A = pi r^2

A = pi ( 4)^2

A = pi *16

Answer:    20,736

Step-by-step explanation:

Math and History and Chemistry and Biology and Subjects

  3!     x        4!        x          3!          x        1!          x        4!       = 20,736

Answer:

B. Tanisha sold the CDs for $2 each.

Step-by-step explanation:

Answer:

everywhere except between 2 and 5

(between -inf and 2 and between 5 and inf)

Step-by-step explanation: