Draw a Picture Elise paints 12 stars on a
poster. The stars are in rows with an equal
number of stars in each row. Draw three
different ways that the stars could be
arranged.

Answer:

Sample median appears to be an unbiased estimator of the population median

Step-by-step explanation:

The sample median appears to be centered near 16

The required sample median appears to be an unbiased estimator of the population median

A dot plot defined as a collection of plots or dot diagrams is a simple form of data illustration that consists of data points plotted in the form of dots on a graph with axes.

Here,
He placed ping pong balls numbered from 0 to 32 in a drum and mixed them well.

The median of the population is 16. So the sample median appears to be centered near the 16. He replaced the balls and repeated this process for a total of 50 trials.

When plotting the dot plot of the given system, it is summarised that the sample median appears to be an unbiased estimator of the population median.

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Answer:

substitute 11 into the equation:

[tex]\frac{11+44}{2(11)}[/tex] = [tex]\frac{55}{22}[/tex] or 2.5

Answer:

253

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

x + 44/2x

x = 11

Step 2: Evaluate

Answer:

Formula Bh x 1/2, so 26.56 is your answer

Multiply 8.3 x 6.4 to get 53.12 then divide it by 2 which is 26.56

Answer:

26.56

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Answer:

A = 340 adult.

C = 398 children.

Step-by-step explanation:

Let the number of children be C

Let the number of adults be A

Translating the word problem into an algebraic equation, we have;

A + C = 738  .......equation 1

1.5C + 2C = 1306  .......equation 2

A = 738 - C .......equation 3

Substituting eqn 3 into eqn 2, we have;

1.5(738 - C) + 2C = 1306

1107 - 1.5C + 2C = 1306

1306 - 1107 = 2C - 1.5C

199 = 0.5C

C = 199/0.5

C = 398 children.

Now, to find the value of A.

From equation 3;

A = 738 - C

A = 738 - 398

A = 340 adult.

Answer:

2.56

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

-3(-11)-5

33-5

28

Answer:

2x+3y=T

Step-by-step explanation:

t= total

the total number of points  depending on how many 3 points are shot makes up the score.

Answer: 240 gallons

Step-by-step explanation:

From the question, we are informed that the container has 360 gallons and that Daniel took 1/3 of water to give to the animals in the ranch. Therefore, the amount of water that Daniel took will be:

= 1/3 × 360

= 120 gallons

Since we have 360 gallons at the beginning and Daniel has taken 120 gallons, the amount of gallons that'll be left will be:

= 360 - 120

= 240 gallons

Answer:

0 3/4

Step-by-step explanation:

Answer:

3/4 is a proper fraction

Step-by-step explanation:

it can not be a mixed number

Answer:

It shows the growth function I think because the are increasing

Step-by-step explanation:

It is not a exatly

Answer:

The disposable income predicted to be $17 trillion in 2033.

Step-by-step explanation:

The disposable income, in billions, in t years after 2010 is given by the following function>

[tex]D(t) = 10020e^{0.02292t}[/tex]

In what year is disposable income predicted to be $17 trillion (that is, $17,000 billion)?

This is t for which [tex]D(t) = 17000[/tex]. So

[tex]D(t) = 10020e^{0.02292t}[/tex]

[tex]17000 = 10020e^{0.02292t}[/tex]

[tex]e^{0.02292t} = \frac{17000}{10020}[/tex]

[tex]\ln{e^{0.02292t}} = \ln{\frac{17000}{10020}}[/tex]

[tex]0.02292t = \ln{\frac{17000}{10020}}[/tex]

[tex]t = \frac{\ln{\frac{17000}{10020}}}{0.02292}[/tex]

[tex]t = 23[/tex]

2010 + 23 = 2033

The disposable income predicted to be $17 trillion in 2033.

Answer:

-1.5

Step-by-step explanation:

Answer:

6 1/2 (a.k.a 6.5)

1/4 = 2/2 + 1/2 = 3/2 = 1 1/2

8 - 1 1/2 = 6 1/2

Answer:

20

Step-by-step explanation:

12 divided by 3 = 4

therefore 80 divided 4 is 20

Answer:

x=10

Step-by-step explanation:

Answer & Step-by-step explanation:

#1)  3a+2    

#2) Please tell me what you need to find for this one in the comments

#3) Please tell me what you need to find for this one in the comments          

#4) n^6−7n^5−10n^4+9

Hope this helps ;)

Answer:

2x-9

Step-by-step explanation:

substitute g into f

2(x-5)+1

2x-10+1

2x-9

Step-by-step explanation:

Answer:

$ 78.68

Step-by-step explanation:

The following data were obtained from the question:

Pay >>>>>>>>>> Frequency

40 – 59 >>>>>> 15

60 – 79 >>>>>> 58

80 – 99 >>>>>> 27

100 – 119 >>>>> 22

Mean pay =?

Next, we shall determine the class pay. This can be obtained by adding the pay together and dividing by 2 as shown below:

L => is the lower pay interval

U => is the upper pay interval

Pay >>>>>>>>>> Class pay [(L+U)/2)]

40 – 59 >>>>>> 49.5

60 – 79 >>>>>> 69.5

80 – 99 >>>>>> 89.5

100 – 119 >>>>> 109.5

Thus, the table becomes

Pay >>>>>> Class pay >> Frequency

40 – 59 >> 49.5 >>>>>>> 15

60 – 79 >> 69.5 >>>>>>> 58

80 – 99 >> 89.5 >>>>>>> 27

100 – 119 > 109.5 >>>>>> 22

The mean pay can be obtained as follow:

Summation of class pay and frequency (ΣCF) = (49.5×15) + (69.5×58) + (89.5×27) + (109.5×22)

= 742.5 + 4031 + 2416.5 + 2409

= 9599

Summation of frequency (ΣF) = 15 + 58 + 27 + 22

= 122

Mean pay = ΣCF / ΣF

ΣCF = 9599

ΣF = 122

Mean pay = 9599 / 122

Mean pay = $ 78.68

Therefore, the mean pay is $ 78.68

Answer:

multiplied by -2 I believe

Step-by-step explanation:

Answer:

[tex]\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C[/tex]

General Formulas and Concepts:

Algebra I

Calculus

Antiderivatives - integrals/Integration

Integration Constant C

U-Substitution

Integration Property [Multiplied Constant]:                                                                [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Trig Integration:                                                                                                           [tex]\displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx[/tex]

Step 2: Integrate Pt. 1

Step 3: Identify Variables

Set up u-substitution for the arctan trig integration.

[tex]\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx[/tex]

Step 4: Integrate Pt. 2

Topic: AP Calculus AB

Unit: Integrals - Arctrig

Book: College Calculus 10e

Answer:

28

Step-by-step explanation:

find perimeter (25 + 25 + 45 + 45 = 140)

divide your perimeter by 5 (140 ÷ 5 = 28)

therefore you need 28 fence posts

Answer:

21% chose cats

Step-by-step explanation:

Answer:

48 cuts and styles

Step-by-step explanation:

Moshde needs to make 48 haircuts and style per month to save $1,200.

Moshde makes $45 per haircut and yet incurs $960 in expenses every month.

She needs to cut enough hair that she makes the $960 in expenses and then a further $1,200 that she can put in savings.

The formula to find out the number of cuts she needs to make is:

= (Monthly expenses + Desired profit) / Profit per cut

= (960 + 1,200) / 45

= 2,160 / 45

= 48 hair cuts and style

In conclusion, Moshde needs to make 48 haircuts per month.

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Answer:

x=52

Step-by-step explanation:

A triangle 3 interior angles add up to 180 so the third angle is 52. Since the two lines are parallel and have a transversal angle x and 52 are alternate interior angles so x=52

Answer:

2

Step-by-step explanation:

The absolute value of a number is its distance from zero, since distance is always positive, the absolute value is always positive.

| -2 + 4 |

Simplify,

|2|

= 2

Answer:

40

Step-by-step explanation:

1. 2(l+w)

2. 2(17+3)

3. 2(20)

4. 2*20