While there is no​ Same-Side Exterior Angles Theorem​ given, same-side exterior angles are

Answer:

\(\huge\boxed{\sf \angle A = 43\°}\)

\(\huge\boxed{\sf \angle B = 59\°}\)

Step-by-step explanation:

In ΔDBC,

98 + ∠B + 31 = 180°

∠B + 121 = 180

∠B = 180 - 121

So,

∠C (Exterior Angle) = ∠A + ∠B

102 = ∠A + 59

102 - 59 = ∠A

43 = ∠A

\(\rule[225]{225}{2}\)

Answer:

AAS

Step-by-step explanation:

Δwzy=Δwzv

to prove the equality:

1- wz is a common side

angle:  wzv=wzy=90 degrees ( height of triangle)

angle v= angle y

Since WZ bisects W, it's good  to say that vwz and zwy

prove one side is equal and two angles

so ASA or AAS is the answer

A forest covers an area of 34,000 acres. A survey reveals that 0.2% of the forest is old growth trees. We need to determine the area of old growth trees in acres.

The percent of old-growth trees is given as 0.2%. We can convert this to a decimal as follows:  0.2% = 0.2/100 = 0.002.

We can now multiply this decimal by the total area of the forest to get the area of old-growth trees in acres:

Area of old-growth trees = 0.002 × 34,000= 68 acres.

Therefore, the area of old-growth trees in the forest is 68 acres.

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A NORMAL distribution is a symmetrical probability distribution with a bell-shaped curve. It is also called a Gaussian distribution or a normal curve. This distribution is often used in statistics to represent a large number of natural phenomena, such as the distribution of height, weight, or IQ scores in a population.

The first deviation of a NORMAL distribution includes 68.2% of the data. This means that if we were to take a random sample of data from a normally distributed population, about 68.2% of the data would be within one standard deviation of the mean.

The second deviation includes 95.4% of the data. This means that about 95.4% of the data would be within two standard deviations of the mean.

The third deviation includes 99.7% of the data. This means that about 99.7% of the data would be within three standard deviations of the mean.

It is important to note that while these percentages hold true for a NORMAL distribution, they may not apply to other types of distributions.

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The correct option is (c) it gets smaller as the sample size grows. This is because as the sample size increases, the variability within the sample decreases, and the sample mean becomes a more accurate representation of the population mean.

Here are the options: (a) the sample size has no effect on it (b) it gets larger as the sample size grows (c) it gets smaller as the sample size grows.

Explanation: The standard deviation of all possible sample means is known as the standard error. As the sample size (n) increases, the standard error decreases because the larger the sample, the more accurately it represents the population. The relationship between standard error and sample size is given by the formula:

Standard Error (SE) = σ / √n

where σ is the population standard deviation and n is the sample size. As the sample size grows, the denominator (√n) increases, resulting in a smaller standard error.

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Population: All clients of RobinHoodz Financial Services

Sample: The 426 RobinHoodz clients who were surveyed

In Scenario 1, the population refers to all clients of RobinHoodz Financial Services. The sample, on the other hand, corresponds to the 426 clients who were surveyed and provided their opinions.

In Scenario 2, the population is all flights from Detroit last January. The sample is the subset of this population, specifically the 500 flights that Joseph selected and used to calculate the mean length of delay.

To summarize:

Scenario 1: Population: All clients of RobinHoodz Financial Services Sample: The 426 RobinHoodz clients who were surveyed

Scenario 2: Population: All flights from Detroit last January Sample: The 500 flights selected by Joseph for his analysis

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Answer:

The slope is \(\frac{1}{2}\).

Step-by-step explanation:

The formula for slope is rise over run.

The rise is the difference between 5 and 7, which is 2.

The run is the difference between -4 and -8, which 4.

2 over 4 simplifies to 1 over 2, which is \(\frac{1}{2}\).

Hence, the slope is \(\frac{1}{2}\).

Answer: 1/2 or 0.5

Slope formula: (y1-y2) / (x1-x1)

In this example we can set (-4,7) and (-8,5) as:

(-4,7) —> (x1,y1)

(-8,5) —> (x2,y2)

once we plug in our values for x1,y1,x2 and y2 we get:

slope=(7-5)/(-4-(-8))

(double negatives, so it simplifies to -4 + 8)

slope=2/4

slope=1/2

Hope this helped!

If the steps are shaped like rectangular prism, then the expression that can be used to find the volume is option (B)  (6×16×6)+(14×16×7)

The steps are shaped like rectangular prism

The length of the rectangular prism = l×w×h

Where l is the length

w is the width

h is the height

First we have to separate the given steps in to two rectangular prism and find the volume of each prism

The volume of the top prism = l×w×h

= 6×16×6 cubic inches

The volume of the bottom prism = l×w×h

= 14×16×7 cubic inches

The total volume = (6×16×6)+(14×16×7) cubic inches

Hence, if the steps are shaped like rectangular prism, then the expression that can be used to find the volume is option (B)  (6×16×6)+(14×16×7)

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a. There are 6 chaperones on the trip.b. There are 86 children on the trip.To solve this problem, the tape diagram can be used.

Each square on the tape diagram can represent one person, and lines can be drawn to separate the chaperones from the students.Using the ratio given, the tape diagram would have three squares for the chaperones and twenty squares for the students. The diagram can then be multiplied by 4 to get a total of 92 squares. Counting the squares for the chaperones would give 6 squares, which means there are 6 chaperones. Counting the squares for the students would give 86 squares, which means there are 86 children. Thus, there are 6 chaperones and 86 children.

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Answer:

The ratio of cats to dogs is 2:1 The ratio of dogs to cats is 1:2 or half as many dogs as cats. There are six cats and three dogs.

Step-by-step explanation:

one and two

Answer:

Step-by-step explanation:

This problem bothers on probability

Given that two dice are expected to give an outcome of sum greater than 8

But in the problem statement the first die is already settled since it is showing 6 already.

Now for the second die, the possible outcomes that will add up with the first die to produce a figure greater than 8 are (3,4,5,6)  

The probability of obtaining either of these numbers is 4/6= 2/3

Having the first die settled, this means that the probability of obtaining a sum of 8 is 2/3

The selection chances and the required probability for 9 women and 6 men is given by ,

Different groups of applicants selection = 3003

Selection of trainee entirely of women = 126

Probability of selection of entirely women from 15 people = 4.19%

Total number of women = 9

Total number of men = 6

Total = 9 + 6

        = 15

The total number of groups of applicants that can be selected for the positions can be calculated using the combination formula,

nCr = n! / r!(n-r)!

where n is the total number of applicants (15),

And r is the number of positions to be filled (5).

Number of different groups of applicants that can be selected for the positions is,

15C5

= (15! )/(15-5)!5!

=(15! )/(10)!5!

= 3003

Number of different groups of trainees that consist entirely of women can be calculated by selecting 5 women from the 9 available,

9C5

= (9! )/(9-5)!5!

=(9! )/(4)!5!

= 126

Probability of selecting a group of five trainees ,

Consist entirely of women can be calculated by dividing the number of different groups of all-women trainees (126) by the total number of different groups of trainees (3003),

Required probability

= 126/3003

≈ 0.0419

Probability that the trainee class will consist entirely of women is approximately 0.0419, or 4.19% (rounded to four decimal places).

Therefore, for a group of 15 people,

Selection of different groups of people = 3003

Selection of trainee represents entirely women =126

probability of selecting entirely women = 4.19%

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The answer is 13 different winning scores are possible.

In order to solve any word puzzle

1. Read the problem: Students should first give the problem a quick once-over.

2. Highlight facts: After reading the issue through one more, students should underline or highlight crucial information, such as crucial numbers or words that indicate an operation.

3. Visualize the issue; you might find it useful to create a picture or a diagram.

4. Identify the operation(s): The following step is for pupils to identify the operation(s) they must carry out. Is it division, multiplication, or addition? What should be done?

Explanation:

So the answer is 13 different winning scores are possible.

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Answer:

8x + 4

Step-by-step explanation:

Simplified

group like terms: (+5x + 1X + 2x) = 8x (-4 + 8) = 4 add the positive sign so you can get an equation: +4, so your simplified expression would be 8x + 4

The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.

Two important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.

The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.

Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.

Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}

On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.

Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.

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Extrapolation is a useful tool for predicting future values based on past data

Bethany used a method of predicting future values from past values known as extrapolation. Extrapolation is a powerful tool for predicting future values, but it is important to remember that it only works if the underlying trend in the data does not change. In Bethany's case, she is making an assumption that her income over the next 10 years will follow the same trend as it did in the past 5 years.

In extrapolation, the assumption is that the data points that were observed in the past will continue in the same direction and with the same intensity into the future. Therefore, extrapolation can be used to make predictions about future values even when no new data points have been collected. It is important to remember, however, that any predictions made using extrapolation are only estimates and may not be accurate.

Extrapolation is used in many different fields, such as finance, economics, medicine, engineering, and even weather forecasting. For example, stock analysts may use extrapolation to make predictions about future stock prices based on past prices. Similarly, meteorologists may use extrapolation to make predictions about future weather conditions based on historical weather data.

Overall, extrapolation is a useful tool for predicting future values based on past data. However, it is important to remember that it only works when the underlying trend in the data does not change. Additionally, any predictions made using extrapolation are only estimates and may not be accurate.

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Answer:

320 pound

Step-by-step explanation:

Ratio is decently easy after u understand the concept

So... This is what the question gave

Jupitar : earth

8 : 3

In other words, if u weigh 8 pound on Jupitar, u would weigh 3 pounds on earth

Therefore now they say on earth, the person weighs 120 pound, so let's just put in this value

Jupitar : earth

8 : 3

? : 120

Now its called ratio bcuz the increase at the same pace

So now look at the earth part, u got to find out how did 3 become 120, so just divide them

120/3 = 40 , so 3 x 40 = 120

So if they multiplied the right ( earth) by 40, u do the exact same on the left ( Jupitar)

8 x 40 = 320

Thats your answer my friend

Answer: The initial value for Z= 8 * 3w is 8 and the growth factor for it is 3. The initial value for A= 6(2.5)t is 6 and the growth factor for it is 2.5.

Step-by-step explanation: Exponential growth equations.

Answer:

$0.18

Step-by-step explanation:

apple(s) : price

8         :    $1.44

4         :    $0.72

2         :    $0.36

1          :    $0.18

the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

Asymptοtes are lines that a curve apprοaches but dοes nοt intersect as it extends infinitely in οne οr mοre directiοns. They can be vertical, hοrizοntal, οr οblique.

Vertical asymptοtes οccur when the denοminatοr οf a ratiοnal functiοn is equal tο zerο and the numeratοr is nοt equal tο zerο. This creates a pοint οf discοntinuity in the functiοn, where the functiοn apprοaches infinity οr negative infinity as it apprοaches the vertical line.

The functiοn y = 5tan(0.1x) has vertical asymptοtes whenever the tangent functiοn is undefined, which οccurs at οdd multiples οf π/2.

the vertical asymptοtes οf y = 5tan(0.1x) are given by:

x = (2n+1)π/2*10, where n is an integer.

Fοr Explοratiοn 4.3.3, Questiοn 2, the given functiοn is:

\(y = (x^2 - 5x + 6)/(x^2 - 9)\)

Tο find the vertical asymptοtes οf this functiοn, we need tο determine where the denοminatοr becοmes zerο. This οccurs at x = 3 and x = -3.

Therefοre, the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

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Mia is closer to the treasure chest because her distance to the chest is opposite the angle less than 80 degrees.

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

Given is a triangle that has points Nigel, Mia, and Treasure Chest. The distance from Nigel to Mia is 100 meters. The angle between Treasure Chest, Nigel, and Mia is 65 degrees. The angle between Nigel, Mia, and Treasure Chest is 80 degrees.

Refer to the image attached.

It can be seen that Mia is closer to the treasure chest because her distance to the chest is opposite the angle less than 80 degrees. We can conclude this from the fact that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle

Therefore, Mia is closer to the treasure chest because her distance to the chest is opposite the angle less than 80 degrees.

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Answer:

B

Step-by-step explanation:

I did it and it is correct

Answer:

y= 11

Step-by-step explanation:

\(\boxed{slope = \frac{y _{1} - y_2 }{x_1 - x_2} }\)

Substituting the coordinates and value of slope:

\( \frac{y - ( - 3)}{3 - ( - 4)} = 2\)

\( \frac{y + 3}{3 + 4} = 2\)

\( \frac{y + 3}{7} = 2\)

Multiply both sides by 7:

y +3= 2(7)

y +3= 14

Subtract 3 from both sides:

y= 14 -3

y= 11

Answer:

D

Step-by-step explanation:

In 2 hours they wash 8 cars total so...

8

16

24

The extra time is 15 mins for 2 cars

Answer:

x = -3

y = -8

Step-by-step explanation:

2y = x - 13

3x = y - 1;  let y = 3x + 1

substitute to solve for 'x':

2(3x + 1) = x - 13

6x + 2 = x - 13

5x + 2 = -13

5x = -15

x = -3

solve for 'y':

3(-3) = y - 1

-9 = y - 1

-8 = y

Answer:

(-3,-8)

Step-by-step explanation:

Get one of the variables by themself.

3x = y-1

y = 3x+1

Plug that equation into the other one

2(3x+1) = x-13

Distribute the 2 to 3x+1

6x+2 = x-13

Combine like terms

6x+2 = x-13

-x       -x

5x+2 = x-13

    -2        -2

5x = -15

Divide by 5 on both sides

5x = -15

÷5   ÷5

x = -3

Find y

3(-3) = y-1

-9 = y-1

+1       +1

y = -8

The correct answer is d  is used to test the effect of the IV on the variability of the DV.

The correct answer is d. The "stand alone F test" is used to test the effect of the independent variable (IV) on the variability of the dependent variable (DV). It is an inferential test commonly used in analysis of variance (ANOVA) to determine if there is a significant difference among the means of three or more groups.

Option a is incorrect because the "stand alone F test" is an inferential test that involves making a conclusion about a population based on sample data.

Option b is incorrect because the "stand alone F test" is used to test the assumption of equal variances, not homogeneity of variance.

Option c is incorrect because the "stand alone F test" can be directional or non-directional, depending on the research question and hypothesis being tested.

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I forgot how to do this stuff

Answer:

7

Step-by-step explanation:

Changing LHS as

Comparing LHS and RHS