Which postulate or theorem proves △MNQ≅△PNQ?


​SSS Congruence Postulate​ ​

SAS Congruence Postulate

AAS Congruence Theorem

ASA Congruence Postulate

The equation that doesn't belong is (c) 12(p + 8) = 3(20 - 2p)

From the question, we have the following parameters that can be used in our computation:

Options A to D

Looking through the options, we can see that:

However, three of the equations have their variables on one side

While the last has its variable on both sides

Hence, the one that does not belong is (c) 12(p + 8) = 3(20 - 2p)

Read more about linear equations at

https://brainly.com/question/4074386

#SPJ1

The pass numbers are independent of the school of study.

Given that a high  school offers math placement exams for incoming freshmen to place students into the appropriate math class during their freshman year

Set up hypotheses as

H₀ : Pass independent of school

Hₐ : Pass independent on school

Two tailed chi square test for independence)

Contingency table is shows as below

School A B C Total

Pass 42 29 45 116

Expected 38.6667 38.6667 38.6667 116.0000667

Obs-exp)^2/observed 0.2874 2.4167 1.0373 3.74138208

df 2    

p value = 0.154

Since p > alpha(0.1) we accept null hypothesis

The pass numbers are independent of the school of study.

Hence we get the required answer.

Learn more about Chi test here:

brainly.com/question/4543358

#SPJ4

Answer:

y = -5x -8

Step-by-step explanation:

The slope must be the negative reciprocal(-5). So we have y = -5x + b, where we need to find b. To do that, we will plug in the known point. This gives us [tex]-3 = -1 * -5 + b[/tex], or[tex]-3 = 5 + b[/tex]. We subtract 5 from both sides to get b = -8.

Mary Beth Mars, develops a Pareto chart using the information. The recommendations that you would make is as follows:

A graph containing both bars and a line, the bars representing individual values in descending order and the line representing the cumulative total, is known as a Pareto chart. The Pareto chart allows us to concentrate on it when we need to. The Pareto chart is built upon the 80%-20% run of the show. The Pareto chart states that 20% of arrangements assist in resolving 80% of issues. The complex manager, Mary Beth Marrs, must concentrate on issues with the pool, the ground, and the stopping part in order to satisfy the majority of residents and reduce complaints.

To learn more about Pareto chart: https://brainly.com/question/24130611

#SPJ4

There is sufficient data to back up the assertion that salespeople with college degrees generate much higher average sales than salespeople without.

Given,

This is a test of the hypothesis that the means of the two populations differ.

The assertion is that salespeople with college degrees generate much higher average sales than salespeople without.

The alternative and null hypothesis are then:

H₀ ; μ₁ - μ₂ = 0

Hₐ ;  μ₁ - μ₂ > 0

The level of significance is 0.05.

The mean and standard deviation for sample 1 (college degree), with n1=14, are 3542 and 468, respectively.

The mean and standard deviation of sample 2 (non-college degree), with n2=17, are 3301 and 642, respectively.

Now,

Md = M₁ - M₂ = 3542 - 3301 = 241

Md=241 is the difference between the sample means.

The following formula is used to calculate the estimated standard error of the difference between means:

S Md = √(σ₁²/n₁ + σ₂²/n₂) = √(468²/14 + 642²/17) = √(15644.6 + 24244.94) = 199.72

Then, we can calculate the t-statistic as:

t = (Md - (μ₁ - μ₂) / S Md = 241 - 0 / 199.72 = 241/199.72  = 1.21

The degrees of freedom for this test are:

Df = n₁ + n₂ - 2 = 14 + 17 - 2 = 29

Right-tailed tests have 29 degrees of freedom and t=1.21, so the following formula is used to determine the P-value for this test:

P Value = P(t > 1.21) = 0.118025

The effect is significant since the P-value (0.118025) is less than the 0.05 standard of significance.

The null hypothesis is rejected.

Therefore,

The idea that salespeople with college degrees generate much higher average sales than those without is supported by sufficient data.

Learn more about hypothesis here;

https://brainly.com/question/16986900

#SPJ4

The equation of the perpendicular line to x + 6y = 42 is: y = 6x + 1.

The lines that are perpendicular to each other will have slope values that have a product of -1, which means one is a negative reciprocal of the other.

Given the equation, x + 6y = 42, it can rewritten in slope-intercept form as shown below:

6y = -x + 42

6y/6 = -x/6 + 42/6

y = -1/6x + 7

The slope of the line is -1/6. The negative reciprocal of -1/6 is 6. Therefore, the slope of the line that is perpendicular to x + 6y = 42 is 6.

Substitute m = 6 and (x, y) = (1, 7) into y = mx + b to find the y-intercept (b):

7 = 6(1) + b

7 = 6 + b

7 - 6 = b

b = 1

Tp write the equation of the perpendicular line, substitute m = 6 and b = 1 into y = mx + b:

y = 6x + 1

Learn more about the equation of perpendicular line on:

https://brainly.com/question/7098341

#SPJ1

Answer:

-4t ≥ -2/5

Step-by-step explanation:

t≥0.1

After covering 194 miles, Mr. Etrada's car can go a maximum of 316 miles with the gas still in the tank and the inequality that represents the given situation is x + m ≤ 510.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign.

It is an illustration of inequity.

This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.

Finding the x numbers for which the inequality holds true is what we are most interested in.

So, the inequality that can represent the given situation is:
x = total distance traveled

m = miles that the gas will allow you to go

The maximum number of miles per full tank is 510.

Then,

x + m ≤ 510

194 + m ≤ 510

m ≤ 510 - 194

m ≤ 316

Therefore, after covering 194 miles, Mr. Etrada's car can go a maximum of 316 miles with the gas still in the tank and the inequality that represents the given situation is x + m ≤ 510.

Know more about inequality here:

https://brainly.com/question/28964520

#SPJ4

To calculate the probability that there will be at least four accident in no accident occur before the forth month in which at least one accident occurs

If a month with one or more accidents is regarded as success and let the

k = the number of failures before the fourth success, and  then k follows a negative binomial distribution and the requested probability is

1. success taken as a month with no accident

2. k = the number of failure before the fourth success

Alternatively the solution is where [tex]Pr[k\leq 3][/tex]

which is derived directly as a negative binomial distribution

Therefore, the probability that there will be at least four months in which no accidents occur before the fourth month in which at least one accident occurs is 0.2898

To know more about the binomial distribution

https://brainly.com/question/16630771

#SPJ4

Answer:

c) Multiplicative Identity

Step-by-step explanation:

Given equation,

→ c × 1 = c

Then the given equation shows,

→ Multiplicative Identity

(number × 1 = number)

Hence, the option (c) is correct.

From the origin (6,18,36) to the tip, the exact length of the curve is 42.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" sign in it.

According to our question-

let x = t

x^2= 2y

y = t^2

44/3

learn more about equation click here:

brainly.com/question/2972832

#SPJ4

The Coefficient of determination is the proportion of variability of the dependent and independent variable this statement is true.

The primary result of the regression analysis is the coefficient of determination because it indicates the percentage of variations in the dependent variable that can be accounted for by the independent variable.

The effectiveness of a statistical model in forecasting a result is indicated by the coefficient of determination [tex]R^2[/tex]. The dependent variable in the model is a representation of the result. [tex]R^2[/tex] can have a minimum value of 0 and a maximum value of 1.

Researchers frequently rely on coefficient, also referred to as R-squared (or [tex]R^2[/tex]), when performing trend analysis to determine how strong the linear relationship is between two variables.

To know more about coefficient of determination is here

https://brainly.com/question/16258940

#SPJ4

The number of ways we can paint is g(nk)=1/n ∑d | n ϕ(d) ((k−1)^n/d +(−1)^n/d (k−1))

Given,

Whether your circle has named sectors (i.e., is fixed) or lacks labels will determine this (i.e. is free).

In the first scenario, inclusion-exclusion can be used to create sets Ai,j of colorings with adjacent sectors I and j having the same color. Next, generally

|Ai1,j1∩⋯∩Air,jr|={(k^n − r r<n) ( k r=n)

And inclusion-exclusion yields f(n, k), the number of sectors that are colored with k colors that are not related to any of Ai, j (i.e., do not have similar adjacent colors):

f(n, k) = ∑r = 0 n−1 (−1)^r (n, r) k^n - r + (−1)^n (n, n)k

And the result of adding and subtracting (1) is:

⟹f(n, k) = ∑r = 0 n−1 (−1)^r (n, r) k^n−r + (−1)^n (n, n)k = (k−1)^n + (−1)^n (k−1)

That is your response to the fixed circle.

Burnside's Lemma, which generates the cycle index of a combinatorial necklace, must be applied if you want the solution for a free circle (assuming the symmetries involved are merely rotations):

Z(Cn) = 1n∑d∣nϕ(d)an/dd

Then, n/d cycles with dN sectors in each cycle, an/dd permutations representing rotations of sectors, and (d) is the Euler Totient Function[4] are used.

Since each cycle must contain a single color from the n available options, we must swap out an/dd with f(n/d, k), resulting in a total of g(n, k) free colorings for n>1*:

g(n, k)=1/n ∑d∣n ϕ(d) ((k−1)^n/d +(−1)^n/d (k−1))

Learn more about number of ways here;

https://brainly.com/question/14531185

#SPJ4

In the year 2002 the exports of Chinese's automobile parts will $5.3 billion.

The exponential function for the given export of Chinese's automobile parts is-

5.3 = 1.8208 e^0.3387x

5.3/1.8208 = e^0.3387x

Taking ln both sides-

ln(5.3/1.8208) = ln e^0.3387x

ln(5.3/1.8208) = 0.3387x

Further simplifying

x = ln(5.3/1.8208)/0.3387

x =  3.15

x ≈ 3 year ad some months

Add 3 years to 1998 to get the required year.

Year = 1998 + 3

Year = 2001 and months

Year = 2002

Thus, in the year 2002 the exports of Chinese's automobile parts will $5.3 billion.

To know more about the exponential function, here

https://brainly.com/question/12626186

#SPJ4

The correct question is-

The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x) = 1.8208e^.3387x, where x = 0 corresponds to 1998.

In what year did/will the exports reach $5.3 billion?

Dividing the class by using Coin flip , The instructor has created minimal group

Researchers employ a technique called the minimal group paradigm to instigate new social groups in the lab. The objective is to classify people into groups using minimal, meaningless, or arbitrary criteria.

A minimal group is a a group lacking interdependence, group cohesion, structure, and other characteristics typically found in social groups.

An example is a group of people disembarking from a bus.

According to the question ,

The instructor is dividing the class by means of coin

Here, the flipping of coin is an arbitrary criteria . Also , the group formed will be anonymous

Hence , the formed group will be minimal group

To know more about Minimal Group here

https://brainly.com/question/29510913

#SPJ4

The probability that they will have exactly one affected child is 9/64.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.

Probability of affecting for 1 child = 3/4  = q

Probability of not affecting on 1 child =p=1/4

Formula:

P( exactly one affected child )

= [tex]^{3}C_{1}[/tex] * * (1/4)² * (3/4) = 9/64

To learn more about the probability from the given link

https://brainly.com/question/24756209

#SPJ4

Answer:

20/50

Step-by-step explanation:

40% is equal to 40/100

40/100 is equal to 20/50

Answer:

y=5x+53

Step-by-step explanation:so all i did was go into the demos app and typed in y=5x-7 and then i entered y=5x+30 and i kept going up until i found the right answer

The explanation for each condition of the question is given below in which the activation record for the function is deallocated for Option (A).

What is an activation record?

Information required for just one execution of a procedure is managed by an activation record. When a procedure is called, an activation record is pushed into the stack, and it is popped when the control is returned to the calling function.

From the question, Languages typically group all activation-specific function validation under the umbrella of an activation record.

Whenever the block is entered, extend the function activation record.

a. fun f x = x + 1;

b. fun f x = y =>x y;

Take fun f

x=fun y

x+y

c. fun.f x = fn y => y+ 1;

fun f

x => fn

y => y+1

d. fun f x = map ~ x

To learn more about an activation record

https://brainly.com/question/27894163

#SPJ4

Answer:33%

Step-by-step explanation: take 1 divided by 3 which equals 0.33 multiply that by 100 to get a percentage of 33 percent

you don't need to give me anything

Answer:

33%

Step-by-step explanation:

I want your chocolate.

In general, there are n>3 lines in the plane. Show that at least n - 2 triangles are formed by these lines.

Let's consider the following diagram, where each line is labelled with a letter:

A-B-C-D-E

Since each line intersects with at least one other line, there are at least n-2 triangles that can be formed. For example, triangle ABC, triangle ABD, triangle ABE, triangle BCD, triangle BDE, and triangle CDE are all triangles that can be formed from our five lines.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

The equation is P = 1700x + 22,000 and the population in 2009 is 32,200.

Here we have to find the equation to get to know the population after x years.

Data provided:

Population in 2003 = 22,000

Year = x year

Population increases every year = 1700

Let P be the population after x year.

So the equation is:

P = 1700x + 22,000

Now we have to find the population in 2009.

So 2009 - 2003 = 6

Put x = 6

P = 1700 × 6 + 22,000

  = 10200 + 22,000

  = 32,200

Therefore the equation is P = 1700x + 22,00 and in 2009 population is 32,200.

To know more about the equation refer to the link given below:

https://brainly.com/question/14107099

#SPJ4

If Diandre completed 15 drills in 2 hours, the unit rate will be 7.5 drills per hour.

It is defined as the change in values of a dependent variable with respect to the independent variables.

It is given that, Diandre completed 15 drills in 2 hours. The rate is 15/2

A unit rate is a cost for just one of something. This is expressed as a ratio with a denominator of 1. For instance, it is useful in large applications like finding the average speed.

Thus, if Diandre completed 15 drills in 2 hours, the unit rate will be 7.5 drills per hour.

Learn more about the rate of change here:

brainly.com/question/12786410

#SPJ1

The percent of Hispanics that prefer to read catalogs in Spanish is equal or higher than 30%

What is percentage ?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

%, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.

The percent of Hispanics that prefer to read catalogs in Spanish is equal or higher than 30%

To learn more about percentage from the given link  

https://brainly.com/question/24304697

#SPJ4

The total number of students participating in a school club or sport is 105.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.

Given that three out of 5 students at Maria's school participate in a school club or sport and there are 175 students at the school.

In this situation, the number of people that participate will be:

= Fraction utilized × Total number of students

= 3/5 × 175

= 105

The number of people is 105.

Learn more about fractions on:

brainly.com/question/78672

#SPJ1

Sample error is ±2.9872 from the sample mean of 22 inch and standard deviation of 8 inch and sample size of 30 inch.

An analyst makes a statistical error known as a sampling error when they choose a sample that does not accurately represent the complete population of data. As a result, the sample's findings do not accurately reflect the findings from the total population.

Here,

mean=22 inch

standard deviation=8 inch

sample size=30 inch

degree of freedom=29 inch

The sampling error is calculated by dividing the standard deviation of the population by the square root of the size of the sample, and then multiplying the resultant with the Z-score value, which is based on the confidence interval.

By using this,

sampling error=±2.9872 inch

With a sample mean of 22 inches, a standard deviation of 8 inches, and a sample size of 30 inches, the sample error is 2.9872 inches.

To know more about sample error,

https://brainly.com/question/15375591

#SPJ4