What postulate proves triangle congruence?
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25 points
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AAS
SAS
SSS
ASA

Final answer:

The standard deviation from the method A is 2.87

The standard deviation from the method B is 1.35

The standard deviation from the method C is 0.42

The standard deviation from the method D is 0.75

The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is. Approximately 95% of values in any distribution will be within two standard deviations of the mean.

The statistical concept of standard deviation is used to quantify the variability or dispersion around an average. It is a measure of volatility technically. The discrepancy between the actual and average value is known as the dispersion. The standard deviation increases as the variability or dispersion increases.

A low standard deviation indicates that the data are tightly grouped around the mean, while a high standard deviation indicates that the data are widely dispersed (less dependable) (more reliable)

Explanation:

The highest standard deviation is found in procedure A. Given that it is not based on any actual measurements and is subject to wildly different subjective judgment, one would anticipate that it would be the largest.

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Answer:

the number 12

Step-by-step explanation:

the number 12 is a multiple of both 3 ans 4. the sum of the 2 digits in 12, is 3, which is a prime number. 12 only has 2 digits

Answer:

Step-by-step explanation:

If the problem is (-7)^2 then you multiply -7 *-7

If the problem is -(7) ^2 then you multiply -1*7*7

Answer: FALL OUT OF THE TREE

The conversion factor to convert cm/s to m/min is 3 / 5, it is gained by applying the knowledge of conversion of units to the given problem.

What do you mean by conversion of units?

Conversion of units deals with the method of converting a set of values given in a unit to another unit without changing its numerical value. Conversion can take place in both ways, from lower to higher units and vice-versa.

Calculation of the conversion factor to convert cm/s to m/min

We know that,

1 m = 100 cm

1 min = 60 s

To convert cm/s to m/min, we have

= 18 / (100 / 60)

= (18 × 3) / 5

= 54 / 5

= 10.8 m/min

Hence, the conversion factor used to convert cm/s to m/min is 3 / 5.

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the answer is A because to be honest im writing this so it will show me the right naswer but it should be A

Answer: you didn't give me any numbers, so I can't give you an answer. But, I can help!

The slope intercept form is Y=mx+b

X and Y are your coordinates

m is the slope

b is the y-intercept.

As long as you know two of those, you can solve for the missing variable.

I hope this helps!!!

Using a linear function, it is found that:

1. The company would charge $1,500 for 20 hours of labor and $3,000 for 50 hours of labor.

2. The graph is given at the end of the answer.

3. The slope of 50 means that the cost of each additional hour of labor is of $50.

A linear function is modeled by:

y = mx + b

In which:

For this problem, we have that:

Hence the charge for x hours of labor is given by the following function:

C(x) = 50x + 500.

Then:

The company would charge $1,500 for 20 hours of labor and $3,000 for 50 hours of labor.

The slope of 50 means that the cost of each additional hour of labor is of $50.

The graph with the two points from item a labeled is given at the end of the answer.

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Answer is A, 10703 / 25 = 428 r3

The hexadecimal representation for the given question is 1. 0xAD 2. 0x27 and the decimal representation of the given question is 1. 10001110 2. 01011100

The hexadecimal numeral system, usually known as base 16 or just "hex," is a positional numeral system used in mathematics and computing that uses the radix (base) of 16 to represent integers. Hexadecimal uses 16 different symbols as opposed to the decimal system's 10 symbols, with the most common being "0"-"9 to represent values 0 to 9 and "A"-"F" (or alternatively "a"-"f") to represent values 10 to 15. Hexadecimal numbers are frequently used by software engineers and system designers because they offer a human-friendly representation of binary-coded data. For example, an 8-bit byte might have values ranging from 00000000 to 11111111 in binary form, which can be succinctly represented as 00 to FF in hexadecimal. Each hexadecimal digit represents four bits (binary digits), often known as a nibble (or nybble).

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Answer:

Yes

Step-by-step explanation:

Every x and y coordinate is different. The y-coordinates don't have the same x-coordinate, so the function passes the vertical line test. This function is called a discrete function since it's made up of individual points, not a line or curve.

Answer:

yes

Step-by-step explanation:

Different x and y coordinate

Different gradient of line graph

Therefore,it is a function.

Answer:11/24

Step-by-step explanation:

5 1/2 divided by 12 equals 11/24

The height of the prism is 4.93 meter with a square base and having a volume of 10 m³

Volume is the amount of space occupied by a three dimensional shape or object. Examples of shape with volume are cone, cube, cuboid, pyramid, prism and so on.

The volume of a pyramid = (1/3) * base area * height

Let base = b

height = 2 * base = 2b

Since volume is 10 m³, hence:

10 = (1/3) * b * b * 2b

b = 2.47 m, h = 2(2.47) = 4.93 m

The height of the prism is 4.93 meter with a square base and having a volume of 10 m³

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Answer:

Step-by-step explanation:

Take average speed to be (40+50)/ 2 = 45 mph.

Then estimate of distance travelled

= 45 * 3.5

= 160  miles.

Answer:

Element of xcomponent is called domain.

Step-by-step explanation:

Domain=(-4,2,0,-3)

Hope this helpful for you.

Answer: 106!

Step-by-step explanation:

Answer:21,686

Step-by-step explanation:7*3098=21,686

Answer: 0

Step-by-step explanation:

4 - 2(a - 3) =

4 - 2(5 - 3) =

4 - 2(2) =

4-4=0

Answer:

it's 9 squar feet ;) ........

Answer:68.4 liters

Step-by-step explanation:  1.5x12=18 18x3.8=68.4

The probability of an event of P(A∪B) is 49/128.

In this question,

Patricia will flip the coin 8 times.

The sample space is the flipping of a coin 8 times.

⇒ n(s) = 2⁸

⇒ n(s) = 256

Let A be the event that exactly 4 of the 8 flips are heads

⇒ n(A) = [tex]8C_4[/tex]                 [∵ [tex]nC_r=\frac{n!}{r!(n-r!)}[/tex]]

⇒ [tex]\frac{8!}{4!4!}[/tex] = 70

Then, P(a) = [tex]\frac{n(a)}{n(s)}[/tex]

⇒ [tex]\frac{70}{256}[/tex]

Let B be the event that the last two flips are tails

⇒ n(B) = [tex]8C_2[/tex]

⇒ [tex]\frac{8!}{2!6!}[/tex] = 28

Then, P(a) = [tex]\frac{n(b)}{n(s)}[/tex]

⇒ [tex]\frac{28}{256}[/tex]

Now, P(A∪B) = P(A) + P(B)

⇒ P(A∪B) = [tex]\frac{70}{256} + \frac{28}{256}[/tex]

⇒ P(A∪B) = [tex]\frac{70+28}{256}[/tex]

⇒ P(A∪B) = [tex]\frac{98}{256}[/tex]

⇒ P(A∪B) = [tex]\frac{49}{128}[/tex]

Hence we can conclude that the probability of an event of P(A∪B) is 49/128.

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Step-by-step explanation:

What's 11,000lb in tons

it 5.5 us tone

If, we invested $2,800 at a 6% annual interest rate. We will have $2972.70 in 1 year and $3063 in 1.5 year of time.

In the fields of finance and economics, interest is defined as the payment of a sum over and above the principal amount (the amount borrowed) at a set rate by a borrower or deposit-taking financial institution to a lender or depositor. It is different from a fee that the borrower may pay to the lender or another entity. It also differs from a dividend, which is money given to shareholders (owners) by a company from its profit or reserve, but not at a set rate predetermined beforehand, but rather on a pro rata basis as a portion of the rewards received by risk-taking businesspeople when revenue is earned that exceeds all costs.

Calculations:

The Future value= fv= Pv x [tex](1+r/m)^{mt}[/tex]

R= Rate per period

mt= years x compounding

The Future value in 1 year= 2800x[tex](1+0.06/12)^{1x12}[/tex]

                                   = $2972.70

The Future value in 1.5 years=2800x[tex](1+0.06/12)^{1.5x12}[/tex]

                                       = $3063.00

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When you roll 3 dice, if if you get the same number, you earn 10 $. if you get two numbers the same, you get 5 $. if the numbers are all different, you lose $2, the expected win is $1.25.

Given,

You  roll 3 dice.

In each dice there will be 6 outcomes

Total number of  outcomes = [tex]6^{3}=216[/tex]

Conditions are

We can find the number of each cases by using the combination method

Number of cases all the outcomes are same =6

Number of cases you get two numbers same = [tex]6C_{2}[/tex]×3!

=90

Number of cases the numbers are all different= 6×5×4

=120

Therefore the expected win = (6×10+90×5-120×2)÷216

=270÷216

= $1.25

Hence, when you roll 3 dice, if if you get the same number, you earn 10 $. if you get two numbers the same, you get 5 $. if the numbers are all different, you lose $2, the expected win is $1.25.

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The probability that every person gets his or her hat back is 1/n!

If each possibility in a sample space S has the same chance of happening, then all of the outcomes are equally likely. The following experiment shows how easy it is to compute the probability of a single result or an event if all outcomes in a sample space S are equally likely.

Think about the sample space for all hat assignments.

This has n! components (n hat picks for the first person, then n - 1 for the second, etc.),

with each occurrence having a chance of 1/n and being equally likely. Calculation is the issue.

The likelihood of a single element occurring, hence the response is 1/n!

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We get the repeated addition as ( - 4 ) + ( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ).

We are given a multiplication expression:

( + 7 ) ( - 4)

We need to write this expression as a repeated addition

Repeated addition means when we add the same digits many times that is repeatedly.

For example: 3 + 3 + 3 + 3 or 8 + 8 + 8 + 8 or 5 + 5 + 5 +5 etc.

Here, we can see that -4 is multiplied by 7

It means that - 4 will be added 7 times repeatedly to form the expression

So, we get that:

= ( - 4 ) + ( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 )

Therefore, we get the repeated addition as ( - 4 ) + ( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ).

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Answer:

12x - 3

Step-by-step explanation:

Step-by-step explanation:

g(2)=((2)²-2-12)/((2)²-4(2)+4)

=4-2-12/4-8+4

=-10/0=undefined

Answer:

V ≈ 2,048 ft^3

Hope this helps :)

Step-by-step explanation:

The symbol ^ means raised to a power.

Formula for Volume of Sphere - V = 4/3 π r^3

1. To find the volume of a sphere, first find the radius with the given diameter 16.

16 ÷ 2 = 8

Radius = 8

2. Substitute r for 8 and solve, and 3 will be used for π.

V ≈ 4/3 • 3 • 8^3

V ≈ 4/3 • 3 • 512

V ≈ 4/3 • 1536

V ≈ 6144/3

V ≈ 2,048

The number of different possible outcomes is 24

The given parameters are:

Fair die = 6 sides

Spinner = 4 sections

The number of different possible outcomes is calculated using

Outcomes = Fair die * Spinner

This gives

Outcomes = 6 * 4

Evaluate

Outcomes = 24

Hence, the number of different possible outcomes is 24

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The time when they will both have written the same number of problems is 2.5 hours.

The problems they would have written is 25.

The first step is to formulate an equation that represents the number of problems that Ms. B and Ms. D can write in an hour.

Problems Ms. B can write in an hour = 10 + 6h

Problems Ms. D can write in an hour = 10h

Where h represents the number of hours

When Ms. B and Ms. D have written the same number of problems, the two above equations would be equal:

10 + 6h = 10h

In order to determine the value of h, take the following steps:

Combine similar terms : 10 = 10h - 6h

Add similar terms: 10 = 4h

Divide both sides by 4 : 10 / 4

h = 2.5 hours

The number of problems they would have written in 2.5 hours : 10 x 2.5 = 25 problems

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