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We need to know the concept of mean and standard deviation to solve the problem.The standard deviation of the data set is 18.36

The given dataset is 1,2,3,3,4,4,4,4,5,5,6,70, inorder to find the standard deviation of the data set we need to first find the mean of the dataset. Mean of a dataset means the average of the set of numbers. We divide the sum of all the numbers in the data set by the size of the set. We represent mean by μ.

μ=[tex]\frac{1+2+3+3+4+4+4+4+5+5+6+70}{12} =\frac{111}{12} =9.25[/tex]

Standard deviation measures the dispersion of a dataset relative to it's mean, the square of standard deviation is variance.

The formula for standard deviation is :

σ=[tex]\sqrt{\frac{(1-9.25)^{2}+(2-9.25)^{2} +...+(70-9.25)^{2} }{12} } =\sqrt{\frac{68.0625+52.5625+78.125+110.25+36.125+10.5625+3690.5625}{12} } \\=\sqrt{\frac{4046.25}{12} } =\sqrt{337.1875} =18.36[/tex]

Thus we found the standard deviation of the data set to be 18.36

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Two lines are cut by a transversal such that a pair of alternate interior angles are right angles, then the two lines are parallel.

Following are the condition that satisfies to make two lines parallel,

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Answer:

1/5 = slope of line

Step-by-step explanation:

Here, slope = rise/run = (larger y value) - (smaller y-value)/(larger x -smaller x)

Here we get slope = rise/run = (3 - 2) (4 - [-1]) = 1/5 = slope of line

Answer -2|3d| = 4

Step-by-step explanation:

no solution

The following weights are listed below:

The sum of the weights of a red circle, a yellow rhombus and a green trapezoid is equal to 35 units.

In this question we find a case of abstract thinking, in which we find a weight system at equilibrium. There are the following variables below:

x - Weight of a red circle.

y - Weight of a purple cross.

r - Weight of an orange star.

u - Weight of a dark blue square.

v - Weight of a yellow rhombus.

w - Weight of a green trapezoid.

z - Weight of a light blue triangle.

And the resulting system of linear equations is:

x + y = 24                                 (1)

y + v = 12                                 (2)

u = 6                                        (3)

2 · r = 6                                    (4)

1.5 · v + 2 · u = 24                    (5)

0.5 · v + w + r + 2 · z = 24       (6)

u = z + 1                                    (7)

By (3):

u = 6

By (4):

r = 3

By (7):

z = 5

And the reduced system of linear equations is:

x + y = 24                                   (1)

y + v = 12                                   (2)

1.5 · v = 12                                  (5)

0.5 · v + w = 11                           (6)

By (5):

v = 8

By (6):

w = 11 - 0.5 · v

w = 11 - 4

w = 7

By (2):

y = 12 - v

y = 12 - 8

y = 4

By (1):

x = 24 - y

x = 24 - 4

x = 20

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Each participant selects 'a' with a probability of (1/2)^a;

the lowest particular wonderful integer (LUPI) recreation is a recreation that, relying on who you ask and while 12 months you ask it, has either been pretty thoroughly studied or no longer studied in any respect. There seem to be a few wonderful solutions; for instance, one symmetric mixed method is as follows if all integers are approved:

What is probability explain?

probability is a measure of the chance of an event to arise. Many activities can't be expected with total fact. we will predict handiest the chance of an event to occur i.e. how possibly they are to happen, using it

probability is the department of mathematics regarding numerical descriptions of ways probably an event is to occur, or how in all likelihood it is that a proposition is genuine. The opportunity of an occasion is various among zero and 1, where, more or less speakme, zero indicates impossibility of the event and 1 suggests truth

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Answer: 7/8 times 1 1/2 is 21/16 or 1.3125 in decimal

2 3/4 divided by 2/3 is 33/8 or 4.125 in decimal

The value of x is -1 and the values on both sides are the same, hence the equation has infinite number of solution

Linear equations are equation that has a leading degree os 1. Given the equations below:

-x +4 = x + 6

Collect the like terms

-x - x = 6 - 4

-2x =2

Divide both sides by -2

-2x/-2 = 2/2

x = -1

For the expression

5n + 7 =. 7(n+1) - 2n

5n + 7 = 7n + 7 - 2n

simplify

5n - 5n = 7 - 7

0n = 0

Since the values on both sides are the same, hence the equation has infinite number of solution

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Answer:

Step-by-step explanation:

its ratio

Answer:

183/100

Step-by-step explanation:

hope this works :)

Answer:

183/100 as a fraction of 1.83

Answer:

TU = 27

Step-by-step explanation:

ST + TU = SU

(8x - 11) + (14x - 15) = 19x - 17

8x - 11 + 14x - 15 = 19x - 17

22x - 26 = 19x - 17

22x - 19x = 26 - 17

3x = 9

x = 3

TU = 14x - 15 = 14(3) - 15 = 27

profit is 20000 and profit percent is 5.79

We're given:

[tex](3f-4g)(t)[/tex] is the same as [tex]3f(t)-4g(t)[/tex]. Now, we can just plug in the functions as if they're variables in an equation.

[tex]3f(t)-4g(t)[/tex]

[tex]= 3(4t-2)-4(2t+2)\\= 12t-6-8t-8\\= 4t-14[/tex]

[tex](3f-4g)(t)= 4t-14[/tex]

"The spaces are usually stocked with standard office [26] equipment,

such as photocopiers, printers, and fax machines." Option A: No Change, i.e., no sentence correction is needed.

Sentence correction or sentence improvement is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.

Now,

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Answer:

70 m / 40 seconds = 7/4 m/s or 1.75 m/s

Step-by-step explanation:

the line stops at 0.7 time = 40 seconds

70 m / 40 seconds = 7/4 m/s or 1.75 m/s

Using the bisection concept, we have that the measure of angle AXB is of 160º.

A bisection of an angle is the formation of a ray that divides the angle into two equal parts.

For this problem, we have that:

Hence the measure of angle AXB is of 160º.

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Answer:

a=11, b=10, c=32, and d=14.

Step-by-step explanation:

Answer:

67 units

Step-by-step explanation:

Perimeter  of a shape is the sum of all sides.

Perimeter = a + b + c + d

                = x +7  + 2x + 2 + 8x + x +10

                = x + 2x + 8x + x  +7 + 2 + 10

Combine like terms,

                 = 12x + 19

Now, substitute x = 4 in the above expression,

                  = 12*4 + 19

                  = 48 + 19

                  = 67

The required value of x in the proportion of the line is 9.

Given that,
B is located between points A and C.
AB= x + 2; BC = 2x + 7 and AC = 36

To determine the value of x in the proportion of line.

A line is a straight curve connecting two points or more showing the shortest distance between initial and final points.

Here,
B is the point lies between A and C on line segment AC

So,
AC = AB + BC
AB +  BC = 36
x + 2 + 2x + 7 = 36
3x + 9 = 36
3x = 27
x = 27 / 3
x = 9

Thus, the required value of x in the proportion of the line is 9.

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Answer:

this would be c bro trust me I passed this years ago dw it used to confuse me aswell

Step-by-step explanation:

yep

Total charge by company A for 80 sq.feet = 250+10(80)= $1050

Total charge by company B for 80 sq.feet = 90+12(90)=$1170

Let x be the no.of square feet for landscaping

Company A

Monthly consulting fee = $250

Cost of landscaping of 1 sq.feet = $10

Cost of landscaping of x sq.feet = $10x

So, Total charge by company A = 250+10x  ---1

Company B

Monthly consulting fee = $90

Cost of landscaping of 1 sq.feet = $12

Cost of landscaping of x sq.feet = $12x

So, Total charge by company B = 90+12x   ---2

Now we are supposed to find  how many square feet of landscaping will the two companies charge the same amount

So, Equate 1 and 2

250+10x = 90+12x

160=2x

80=x

So, the two companies charge the same amount for 80 sq.feet

Total charge by company A for 80 sq.feet = 250+10(80)= $1050

Total charge by company B for 80 sq.feet = 90+12(90)=$1170

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The total Commission Buehrer earns is 1404.3.

Given, Commission on first 3000 sales is 5% and commission on next 6000 sales is 8% and the commission she get when done a sales over 12000 is 10%.

She did a total sales of 19743.

Total Commission = (5% of 3000 )+ (8% of 6000)+(10% of (total sale - 12000))

Total commission = (150)+(480)+(10% of (19743-12000))

Total commission = (150)+(480)+(10% of (7743))

Total commission = (150)+(480)+(774.3)

Total commission =1404.3

Hence Total commission she earns for the sales in the month is 1404.3.

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The answer would be D. 4

because you would multiply the numerator and denominator by the conjugate.

A) The rearranged formula is:

r = d/t

B) Using the above formula we can see that the rate is 25,000 m/h.

C) Here we have the linear equation:

d = (25,000 m/h)*t

Here we need to use the formula:

distance = rate*time.

To solve this formula for the rate, we need to divide both sides by the time, so we will get:

rate = distance/time.

Writing this with the given variables:

r = d/t.

b) Now we know that the distance is 800,000 meters and the time is 4 hours, then the rate will be:

r = 100,000m/4h = 25,000 m/h

The rate is 25,000 meters per hour.

c) Now we wil get the linear equation:

d = r*t

d = (25,000 m/h)*t

This linear equation gives the distance traveled in a time t.

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Part A:

Rearrange the distance formula, d = rt, to solve for rate. The distance formula is given by d = rt, where d is the distance traveled, r is the rate at which the distance is being traveled, and t is the time taken to travel the distance.
To solve for rate, we can rearrange the formula as follows: d = rt d/t = r [dividing both sides by t] r = d/t

Therefore, the formula for rate is r = d/t.

Part B: Find the falcon's rate in meters per hour. Given that the falcon flies 800,000 meters in 4 hours, we can use the formula for rate to find its speed. r = d/t r = 800,000/4 r = 200,000 meters per hour.

Therefore, the falcon's rate is 200,000 meters per hour.

Part C: Rearrange the distance formula, d = rt, to solve for time. To solve for time, we can rearrange the formula as follows: d = rt t = d/r [dividing both sides by r]

Therefore, the formula for time is t = d/r.

Determination of Uncertainty for given situations are:

a) certain.

b) uncertain.

c) uncertain.

d) uncertain.

e) certain

What is Uncertainty?

a) A basket's capacity for eggs:

The measurement that is precise and free from uncertainty is the number of counting objects. Consequently, we are able to precisely count the eggs in a basket.

b) The weight of 12 bananas:

Given that no two bananas are the same size and therefore have different masses, it is uncertain to determine the mass of a dozen bananas. This is true for the computation of the mass of any object.

c) The iron block's mass

Because no two pieces of iron in an iron block are the same size, it is difficult to determine the mass of an iron block.

d) The quantity of gasoline required to fully fill a car's gas tank:

Due to the fact that gasoline is indeed a gas molecule and is volatile, it is difficult to calculate how many gallons are required to fill an automobile's gas tank.

e) There is 5 cm in a meter.

By using the relation, we can precisely calculate how many cm there are in 5 meters. Knowing that 1 m = 100 cm.

Determination of Uncertainty for given situations are:

a) certain.

b) uncertain.

c) uncertain.

d) uncertain.

e) certain

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Answer: + or - in between the 3x and 6? Can be either 7 or 3

Step-by-step explanation:

3x+6=15.

Subtract '6' on both sides.

3x=9.

Divide by '3'.

x=3

3x-6=15.

Add '-6' on both sides.

3x=21

Divide by '3'.

x=7

Again, it solely depends on your sign in between the first two numbers.

By using the trigonometric function of cosine, we conclude that the length of the hypotenuse is approximately equal to 7.2 units.

Right triangles are triangles such that one of its internal angles is a right triangle. Fundamentally, trigonometric functions are relationships between two distinct sides of a right triangle.

The picture show that the length of one leg and the measure of the angle between that leg and the hypotenuse are known, but the length of the hypotenuse does not. By using concepts of trigonometric functions, we can find the length of the hypotenuse by using the cosine function:

cos θ = s / x

cos 33° = 6 / x

x = 6 / cos 33°

x = 6 / 0.839

x ≈ 7.154

The length of the hypotenuse is approximately equal to 7.2 units.

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Answer:

30

Step-by-step explanation:

The two angles are the same size, and adding them together (15+15) equals 30.

Answer:

10 1/2

Step-by-step explanation:

The side of the smaller triangle has a length of 7, the larger triangle will be:

= (7 × 3)/2

= 10 1/2