What is the slope and are they linear/perpendicular?
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Answer:

PMN = 74°

Step-by-step explanation:

1. 6x + 5 + 4x + 18 = 163°

2. Combine like terms

3. 10x + 23 = 163°

4. Subtract 23 from both sides.

5. 10x = 140°

6. Divide 10 from both sides.

7. x = 14°

8. Now substitute the x in the equation for PMN with 14.

9. 4(14) + 18

10. Simplify

11. 56 + 18

12. Answer: 74°

Answer: trough

Step-by-step explanation: the study says this

Answer:

trough

Step-by-step explanation:

^

A game where pursuing dominant strategies results in noncooperation that leaves everyone worse off is called a "prisoner's dilemma."

A prisoner's dilemma is a decision-making paradox wherein two individuals working in their very own self-interest do not generate the best solution.

Some key features regarding the prisoner's dilemma are-

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Answer:

55 + 22 = n

= 77

n = 77

Hope this helps! :D

Step-by-step explanation:

Using the Segment Addition Postulate, considering the congruent segments and the trisection, the missing lengths of the segments are given by the following items:

The segment addition postulate is a geometry axiom that states that a line segment, divided into a number of smaller segments, has the length given by the sum of the lengths of the segments.

For this problem, two other concepts are important, given by the bullet points below:

CD = 12, hence, considering the trisection: (12/3) = 4.

CD is also congruent to CB, hence:

CB = 12.

CE = 6, and AE = 2CE, hence:

Due to the postulate, since DG = 8 and GE = 12, and the entire lengths are of 12, and considering the congruence:

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A ray has only one endpoint. A segment has two endpoints.

What is a line?

A line is an object in geometry that is infinitely long and has neither width nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional spaces, they are one-dimensional objects. In everyday language, a line segment with two points designating its ends is also referred to as a "line."

A ray and a segment are parts of a line.

This line segment has two fixed-length endpoints, A and B. The distance between this line segment's endpoints A and B is its length.

In other words, a line segment is a section or element of a line with two endpoints. A line segment, in contrast to a line, has a known length.

A line segment's length can be calculated using either metric units like millimeters or centimeters or conventional units like feet or inches.

Ray has only one endpoint and the other ends go infinity.

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Answer: False

Step-by-step explanation:

Discrete means secret and that data is not discrete as it can be acess by anyone.

True. The amount of rainfall in your state last month is an example of discrete data.

The answer to the question is True. The amount of rainfall in a state last month is an example of discrete data.

Discrete data is a type of data that can only take on specific values. In this case, the amount of rainfall can be measured in specific units, such as inches or millimeters, and cannot have values between those units.

Other examples of discrete data include the number of students in a classroom, the number of cars passing through a toll booth, or the number of coins in a piggy bank.

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Answer:

−228

Step-by-step explanation:

10+9+8+−255

Add 10 and 9 to get 19.

19+8−255

Add 19 and 8 to get 27.

27−255

Subtract 255 from 27 to get −228.

−228

Answer:

9a^4b^4c^2

Step-by-step explanation:

Area of a  square is expressed using the formula

A =L²

L is the side length of the square

Given that;

L = a²b²c

A = 3²(a²b²c)²

A = 9(a²)²(b²)²c²

A = 9a^4b^4c^2

Hence the area of the square is 9a^4b^4c^2

Answer:

y = ± √ 7/2

Step-by-step explanation:

2*y^2-8-(6-2*y^2)=0

(2 • (y2)) - 8) - (6 - 2y2) = 0

(2y2 - 8) - (6 - 2y2) = 0

Pull out like factors :

4y2 - 14 = 2 • (2y2 - 7)

4.2 Factoring: 2y2 - 7

difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

2 • (2y2 - 7) = 0

5.1 Solve : 2 = 0

5.2 Solve : 2y2-7 = 0

Add 7 to both sides of the equation :

2y2 = 7

Divide both sides of the equation by 2:

y2 = 7/2 = 3.500

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:

y = ± √ 7/2

Answer:

5+5m=15

Step-by-step explanation:

Answer:

The volumes of the figures are 728 cubic meters, 47.14 cubic yards, 1260 cubic centimeters, 5581.71 cubic inches and 860.07 cubic inches

Figure 1:

The volume is calculated as

Volume = Product of dimensions/3

So, we have

Volume = 13 * 8 * 21/3

Volume = 728 cubic meters

Figure 2:

The volume is calculated as

Volume = πr²h

So, we have

Volume = 22/7 * 5² * 3/5

Volume = 47.14 cubic yards

Figure 3:

The volume is calculated as

Volume = Product of dimensions

So, we have

Volume = 14 * 18 * 5

Volume = 1260 cubic centimeters

Figure 4:

The volume is calculated as

Volume = 1/3πr²h

So, we have

Volume = 1/3 * 22/7 * 12² * 37

Volume = 5581.71 cubic inches

Figure 5:

The volume is calculated as

Volume = 1/3h(a² + b²)

So, we have

Volume = 1/3 * 13.3 * (16 * 6 + 14 * 7)

Volume = 860.07 cubic inches

Other dimensions are not clear

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Answer:

28 chairs

Step-by-step explanation:

The confidence interval in both cases has been constructed as:

a) (26.02, 29.98)

b) (120.17, 127.83)

The formula to calculate the confidence interval is:

CI = xˉ ± z(σ/√n)

where:

xˉ is sample mean

σ is standard deviation

n is sample size

z is z-score at confidence level

a) xˉ = 28

σ = 4

n = 11

90 percentage confidence.

z at 90% CL = 1.645

Thus:

CI = 28 ± 1.645(4/√11)

CI = 28 ± 1.98

CI = (26.02, 29.98)

b) xˉ = 124

σ = 8

n = 29

90 percentage confidence.

z at 99% CL = 2.576

Thus:

CI = 124 ± 2.576(8/√29)

CI = 124 ± 3.83

CI = (120.17, 127.83)

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Answer:

A

Step-by-step explanation:

5/8=0.625

0.42=0.42^2

Answer:

disagree because the outcome of the problem would be incorrect

The probability that at least 290 seniors are actually enrolled in school is 0.96736.

The most significant probability distribution in statistics for independent, random variables is the normal distribution, sometimes referred to as the Gaussian distribution. In statistical reports, its well-known bell-shaped curve is generally recognized.

The majority of the observations are centered around the middle peak of the normal distribution, which is a continuous probability distribution that is symmetrical around its mean. The probabilities for values that are farther from the mean taper off equally in both directions. Extreme values in the distribution's two tails are likewise rare.

Given that the value of mean = 310 and the value of standard deviation is 10.85.

P(X ≥  290) = P (Z ≥ 290 - 310 / 10.85)

= 1 - P (Z < 290) = 1 - P(Z < 290 - 310 / 10.85)

= 1 - P(Z < -1.84)

= 1 - 0.032641

= 0.96736

Hence, the probability that at least 290 seniors are actually enrolled in school is 0.96736.

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Answer:

\(\huge\bf\underline{\underline{\pink{A}\orange{N}\red{S}\green{W}\purple{E}\blue{R}}}\)

\( 60\% \: of \: 80 \\ = \frac{60}{100} \times 80 \\ = \frac{4800}{100} = 48\)

\(\color{purple}{HOPE}\) \(\color{purple}{THIS}\) \(\color{purple}{WILL}\) \(\color{purple}{HELPS}\) \(\color{purple}{YOU}\)

Answer:

\(x=8\)

Step-by-step explanation:

\(4x=32\)

\(4\times x =32\)

Divide both sides by 4:

\(\frac{4\times x}{4}=\frac{32}{4}\)

\(x=8\)

Answer:

x=8

Step-by-step explanation:

Step-by-step explanation:

Larval mosquitoes breath through trachea in their siphons. This is a structure analogous to the snorkel on a diesel electric submarine. It allows for gas exchange with the atmosphere while the remainder of the insect is submerged. The opening of the siphon is hydrophobic so it won’t get wet and blocked by water. This works well to keep the siphon and the trachea open under normal conditions. Oil when poured on water forms a thin film. When there are mosquitos in that water, when their siphons contact the oil layer, the oil wets and blocks their siphons and suffocates the mosquitoes. This works against most, but not all mossies, as evolution is an amazing process. Some mosquitoes (Mansonia, Coquilletidia) have a siphon designed to penetrate the air vessels in aquatic plants and they don’t need to come to the surface to breath like other mossies. So oil won’t work on these genera.

The influence of a small alpha level in the context of hypothesis testing is:

c. A small alpha level reduces the likelihood of a Type I error.

A hypothesis known as the null hypothesis states that sample observations are the result of chance.

The correct statement regarding the influence of a small alpha level in the context of hypothesis testing is:

c. A small alpha level reduces the likelihood of a Type I error.

A small alpha level (typically denoted as α) is the significance level used in hypothesis testing to determine the threshold for rejecting the null hypothesis. By setting a small alpha level, such as 0.01 or 0.05, we are reducing the probability of making a Type I error, which is the incorrect rejection of a true null hypothesis.

In other words, a small alpha level provides a stricter criterion for rejecting the null hypothesis, making it less likely to reject the null hypothesis when it is true. This reduces the likelihood of claiming a significant result when there is no true effect or relationship in the population.

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The correct option is option (C) .

Cluster Sampling is a type of probability sampling and other options are non- probability sampling examples .

Sampling :

Sampling is defined as a technique that selects individual members or subsets from a population to help determine characteristics of the population as a whole.

Croach and Housden postulate that a sample is a finite number taken from a large group for testing and analysis, and that the sample can be taken as representative of the group as a whole.

There are two main types of sampling:

i) probability sampling

ii) Non-probability sampling

A) probability sampling:

It is defined as the sampling technique which researchers use a related method to draw probability theory samples from a larger population.

The most important requirement for probabilistic sampling is that everyone in the population has a known equal chance of being selected.

Probability Samples:

1. Stratified Sampling: Stratified sampling is a type of sampling technique that divides the total population into smaller groups or strata to complete the sampling process. Hierarchies are formed based on some common characteristics of demographic data.

2. Cluster Sampling: Cluster sampling is a probabilistic sampling technique in which researchers divide a population into multiple groups (clusters) for research purposes. Researchers then select random groups using simple sampling techniques for data collection and data analysis.

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I will win about $ 59.

This is a question of permutations and combinations.

We know that,

Probability of getting two non face cards = \(\frac{^{40}C_2}{{^{52}C_2}}\) = 10/17

Probability of not getting two non face cards = 1 - (10/17) = 7/17

Hence, we can write,

Money I will get = (7/17)*50*20 =  $ 411.764

Money I'll have to pay = (10/17)*30*20 = $ 352.94

We know that,

Money left with me = Money I will get - Money I'll have to pay

Hence, we can write,

Money left with me =   $ 411.764 - $ 352.94

Money left with me =  58.824 ≈ $ 59

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Triangle pairs are similar polygons if they have the same shape but not necessarily the same size. In order for two triangles to be similar, they must satisfy the following conditions:

They must have the same angles. This means that the measures of the angles in one triangle must be the same as the measures of the corresponding angles in the other triangle.

The lengths of the sides must be in the same ratio. This means that if you divide the lengths of the corresponding sides of one triangle by the lengths of the corresponding sides of the other triangle, you must get the same ratio for all pairs of sides.

For example, if triangle ABC is similar to triangle DEF, the ratios of AB/DE, AC/DF, and BC/EF must all be the same.

To determine if two triangles are similar, you can use one of several theorems and postulates, such as the Side-Side-Side (SSS) Similarity Theorem, the Side-Angle-Side (SAS) Similarity Theorem, or the Angle-Angle (AA) Similarity Postulate. These theorems and postulates provide different sets of conditions that must be satisfied in order for two triangles to be similar.

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There are approximately 11.25 cups of granulated sugar in a 5 pound bag.

To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.

First, we multiply the number of pounds (5) by the conversion factor:

5 pounds * 2.25 cups/pound = 11.25 cups

Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.

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The evaluated lateral surface area is 261.8 square meters, under the condition that the base length is 20 m and height is 13 m.

The lateral surface area of a cylinder is given by the formula 2πrh
Here,
r = radius of the base
h = height of the cylinder.
For the given case, the base length is 20 m and height is 13 m. Then the base length is stated  instead of the radius, we have  to evaluate the radius first.
The radius of a cylinder can be found applying the formula r = l/2π
Here,
l = base length.
So, staging l = 20 m
, we get
r = 20/(2π)
≈ 3.18 m
Now that we have received the radius and height, we can evaluate the lateral surface area applying the formula mentioned above.
Staging
r = 3.18 m
h = 13 m,
we get:
Lateral surface area
= 2πrh
≈ 261.8 m²
Then, the lateral surface area of the given cylinder is approximately 261.8 square meters.
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The sampling technique is called "simple random sampling."

In the field of statistics, the process of sampling is used to select a subset of individuals or units from a larger population to study and analyze.

The goal of sampling is to gather data that can be used to make accurate and reliable inferences about the characteristics of the entire population.

One of the most common and straightforward methods of sampling is simple random sampling.

In this technique, each member of the population has an equal chance of being selected to be a part of the sample.

The process of selecting individuals for the sample is usually done through a randomization process, which ensures that each member of the population has an equal probability of being chosen.

Simple random sampling is considered to be an unbiased method of sampling because it ensures that all members of the population have an equal chance of being selected.

This helps to minimize the potential for sampling bias, which is a type of error that can occur when the sample selected is not representative of the entire population.

To implement simple random sampling, researchers can use various methods, including a random number generator or drawing names from a hat.

The sample size required for simple random sampling will depend on the size of the population and the level of precision required for the study.

Overall, simple random sampling is a powerful tool for gathering data that can be used to make accurate and reliable inferences about the characteristics of a larger population.

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