Construct a bar graph for the relative frequencies given

Standard deviation of the numbers is 16.154.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given observations are

77,45,72,56,98,60,70,89,50,80,95,70,34,77,65,70,70,82,86,86

Average or mean of the data is

x=Sum of n values/ Total number of values

x=1432/20=71.6

The Standard deviation of the data is

[tex]\sigma=\sqrt{\frac{\sum(x-mean)^{2}}{n} }[/tex]

=√5218.8/20

=√260.94

=16.154

Hence, standard deviation of the numbers is 16.154.

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arkadaşım bilemiyorum

Answer:

Lena can buy candy in infinite no of ways with the possible amounts:-

1 pound of candy = $7

1.1 pound of candy = $7.7

2 pounds of candy = $14

3 pounds of candy = $21

4 pounds of candy = $28

5 pounds of candy = $35

6 pounds of candy = $42

7 pounds of candy = $49

8 pounds of candy = $56

9 pounds of candy = $63

10 pounds of candy = $70

11 pounds of candy = $77

11.9 pounds of candy = $83.3

Answer:

She will need 10 containers

Step-by-step explanation:

Using long division and converting both solutions to decimals we can use the equation 11.50 divided by 1.25. This will equal 9.20, we then know that she would need 9 containers but we would still have a remainder of .20 so in total to fit everything she would need 10.

I hope this helps have a great day :)

Answer:

no

Step-by-step explanation:

Step-by-step explanation:

Because lines are parallel you can use certain rules to determine the relationship of angle 1 & 2.

(A1 & A2 for short)

With the C shape within the parallel lines we can guarantee that the sum of A1 and A2 is equal to 180.

We can also assume A2 is less than 90° as the lines are parallel and the opposing, non parallel line is acute. With this knowledge and the C shape rule, A1 is therefore more than 90°.

Hope this helps

The total number of coins in Lucy's coin collection is equal to 80 coins.

Given the following data:

To the total number of coins in Lucy's coin collection:

Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.

Total number of coins:

[tex]\frac{15}{100} \times C = 12\\\\15C=12 \times 100\\\\15C =1200\\\\C=\frac{1200}{15}[/tex]

C = 80 coins.

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Answer:

80 coins

Step-by-step explanation:

Let the total number of coins be C.

Given the following data:

Percentage of quarters = 15%

Total number of quarters = 12 quarters

To the total number of coins in Lucy's coin collection:

Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.

Total number of coins:

C = 80 coins.

So the total number of coins in Lucy's coin collection is 80 coins.

Answer:

$17.30

Step-by-step explanation:

6 (video games) multiplied by $2.25 equals $13.50

or

(2.25 + 2.25 + 2.25 + 2.25 + 2.25 + 2.25) = 13.50

and

1 (DVD) is $3.80

$13.50 + $3.80 = $17.30

$17.30

Answer:

what grid below

Step-by-step explanation:

Answer:

what grid below

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the sine/ cosine ratios in the right triangle and the exact values

sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{6}{AB}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

AB = 12

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2 AC = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

AC = 6[tex]\sqrt{3}[/tex]

Answer:

1.05x I think

Answer:

reflection over the x-axis

shifted 3 right

shifted 2 up

Step-by-step explanation:

This function is quadratic. Quadratic graphs are written as y=a(x-h)^2+k. Where a is a non-zero number that affects the vertical appearance of the graph, h is the horizontal placement, and k is the vertical placement.

When a is negative then, the graph has been reflected over the x-axis. This makes it look like it has been turned upside down. The variable h affects how the x-values are shifted. In this equation, h looks negative but it is actually positive because if you look at the formula, h is being subtracted. Positive h values move the graph right. So, the graph is shifted 3 units to the right. Finally, k does the same thing as h but on the vertical (y) axis. So, +2 makes the graph shift 2 units up.

Step-by-step explanation:

Net Worth

Your assets are anything of value that you own that can be converted into cash. Examples include investments, bank and brokerage accounts, retirement funds, real estate and personal property (vehicles, jewelry, and collectibles)—and, of course, cash itself. Intangibles such as your personal network are sometimes considered assets as well. Your liabilities, on the other hand, represent your debts, such as loans, mortgages, credit card debt, medical bills, and student loans. The difference between the total value of your assets and liabilities is your net worth.

Answer:

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

Step-by-step explanation:

we will subistitute f(x) by y and solve the equation in order to get the value of x,

then we subistitute x by y and y by x and y=f^-1(x)

Answer:

I think he is correct.

Step-by-step explanation:

I think he is correct because when you roll a die, it is 10 to 1 for the die to get the number you want.

Tom says that the dices outcome is NOT equally likely. When actually the outcome is equally likely.

On dice no two number repeat twice. So in this case every time he rolls the die he has the same chance of getting 3 than he does any other number.

So Tom is incorrect.

And for how many times it will take Tom for all the numbers to occur is all by luck and chance.

But each number is equally likely to come.

Answer: 41/75 or 54.67%

Step-by-step explanation:

Buttons --- yes,  zips --- yes = 45  (compute as 150 - 37 - 45 - 23)

Buttons --- yes,  zips --- no  = 37

Buttons --- no, zips --- yes = 45

Buttons --- no, zips --- no = 23

Therefore, 82 out of 150 bags have buttons so probability = 82/150 = 41/75

Answer:

h = a * sin α

Step-by-step explanation:

The easiest answer is utilizing Law of Sines: a / Sin A = b / Sin B = c /Sin C

a and ∠α : known

∠AEB = 90°

a / Sin 90° = h / Sin α   .. Sin 90° = 1

h = a * sin α

Answer:

(x+4)2=x+20

2x+8=x+20

2x-x=20-8

x=12

The number I thought of is 12.

To convert statements into numerical expression break the statement into chunks write the terms with mathematical operations.Interpret twice, thrice, half of this etc logically.Practice a lot.

According to the given question I think of a number,Let the number be x.

I increase it by four and double (x+4)×2 = 2(x+4).

The result is 20 more than the number which is (x+20).

∴ 2(x+4) = (x+20)

2x + 8 = x + 20.

2x - x = 20 - 8.

x = 12.

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Answer:

ur mom

Step-by-step explanation:

lol

Answer:

Answer:

[tex]\frac{1}{x}[/tex]

Step-by-step explanation:

[tex]\frac{3x - 12}{3x^{2} - 12x}[/tex]

[tex]\frac{3x - 12}{x(3x-12)}[/tex]          Factor out x.

[tex]\frac{1}{x}[/tex]                    Simplify.

Answer:

x = 6

Step-by-step explanation:

45°+45°+m∆2 = 180°

m∆2 = 90°

; m∆2 = 16x-6

90 = 16x-6

96 = 16x

96/16 = x

6 = x

The length of line BE on the given line segment is 3.5 m.

The given parameters:

The sketch of the given line segments is presented in the diagram uploaded.

The length of BE is determined by applying similar triangle theorem as follows;

[tex]\frac{CB}{AB} = \frac{BD}{EB} \\\\\frac{15 + 3}{21} = \frac{3}{EB} \\\\18EB = 63 \\\\EB = \frac{63}{18} \\\\EB = 3.5 \ m[/tex]

Thus, the length of line BE on the given line segment is 3.5 m.

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Answer:

[tex]\huge\boxed{\frac7{40}\ more\ of\ the\ room}[/tex]

Step-by-step explanation:

To solve this problem, you need to find the common denominator.

To do this, simply multiply the first fraction by 5/5, and the second by 8/8 to get:

[tex]\frac15=\frac{1}{5}*\frac{8}{8} = \frac{1*8}{5*8} = \frac{8}{40}[/tex]

[tex]\frac38=\frac38*\frac55=\frac{3*5}{8*5}=\frac{15}{40}[/tex]

Thus, Lisa painted 7/40 more of the room than Madison.

Hope it helps :)

Answer:

each student gets 2 bars and a quarter of one (2.25 or 2 1/4)

Step-by-step explanation:

Answer:

where does the normal line to the ellipse x2−xy y2=3 at the point (−1,1) intersect the ellipse for the second time?

Step-by-step explanation:

they Juan Carlos y los sigo pliss yyi de bvz

all you need to do is 4000÷25=160

The linear equation in slope-intercept form is: y = 25x + 4000.

The linear equation in slope-intercept form to compute the total cost, y, for 1 month if x service calls are made can be written as:

y = mx + b

m represents the slope of the line, which represents the cost per service call.

Since each service call costs the company $25, the slope (m) is 25.

b represents the y-intercept, which represents the fixed monthly cost. In this case, the fixed monthly cost is $4000.

Therefore, the linear equation in slope-intercept form is: y = 25x + 4000

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Answer:

(-3, 1.5)

Step-by-step explanation:

equation: M = (x1+x2)/2 , (y1+y2)/2

So, plug it in.

(-1-5)/2 , (-1+4)/2

-3 , 1.5

so, x = -3 and y = 1.5