if one of the exterior angles of a triangle is acute, then the triangle must be:

choices:

A. acute
B. equiangular
C. obtuse
D. right

The probability that the spinner does not land on sector F or E is 25/36.

In the question, we are given that the central angle of sector E is 71° and the central angle of sector F is 39°.

We are asked for the probability that the spinner does not land on sector F or E.

The total central angle for a circle is 360°.

The probability of the spinner landing on sector E = 71°/360°.

The probability of the spinner landing on sector F = 39°/360°.

Thus, the probability of the spinner landing on sector F or E = 71°/360° + 39°/360° = 110°/360°.

Thus, the probability of the spinner not landing on sector F or E = 1 - 110°/360° = 250°/360° = 25/36.

Thus, the probability that the spinner does not land on sector F or E is 25/36.

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Answer:

19 and 157

Step-by-step explanation:

Nonverbal instruments have been developed primarily in an attempt to d. assess issues that individuals cannot verbalize.

The answer is d. Nonverbal instruments have been developed primarily to assess issues that individuals cannot verbalize. These instruments are often used in psychology and educational assessments to measure skills and abilities in areas such as mathematics, language, and pre-reading skills, while controlling for the influences of language and culture. Nonverbal instruments can be particularly useful for individuals who struggle with verbal communication or have language barriers.

The exchange of information between people without the use of spoken or written language is referred to as nonverbal communication. Facial expressions, eye contact, gestures, posture, body movements, tone of voice, and even the use of time and space are all included in this broad category of behaviors.

A lot of information about a person's emotional state, intentions, attitudes, and personality traits can be communicated nonverbally. A person's posture and body language, for instance, might show whether they are feeling confident or uneasy, and their tone of voice and facial expressions can show whether they are happy, angry, or sad.

A crucial component of human contact is nonverbal communication since it can improve our ability to understand others, establish rapport, and communicate.

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Answer:

#1 goes to C.

#2 goes to D.

#3 goes to B.
#4 goes to A.

Hope this helps.

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you today!!

We can solve this problem in a single step, we just need to know more about absolute value.

Absolute value is the distance a number is away from 0. For example, if we need to find the absolute value of -7, it would be 7 as the distance can not be negative.

Since we know that, we can solve the problem using algebra and our new logic we got.

\(|3-7|=-4?\\4\neq -4\)

We can see that -4 is not the absolute value, 4 is as the distance is 4 and cannot be negative.

Cheers!

It is true to say that a subset of data values is a sample.

There are two types of sampling techniques:

Probability (simple random sampling, stratified sampling, etc.) and non-probability (snowball sampling, purposive sampling, etc.) sampling techniques.

Meanwhile, the population refers to the total number of items. It can be items, people, etc. For example, the population would be all the students in an area or all the employees in a company.

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Lauren should invite at least 25 people to her party in order to have at least 23 guests.

Option D is the correct answer.

We have,

Let x be the number of people Lauren should invite to her party.

Since 92% of the people she invites are expected to come, the actual number of guests she can expect is 0.92x.

We want to find the value of x that makes the expected number of guests at least 23.

Therefore, we can set up the following inequality:

0.92x ≥ 23

Solving for x, we divide both sides by 0.92:

x ≥ 25

Therefore,

Lauren should invite at least 25 people to her party in order to have at least 23 guests.

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Answer:

x = 5

Step-by-step explanation:

Take your starting equation:

5x - 6 = 2x + 9

Your first step should be to isolate the variable, X, by having it on only one side of the equation. This can be done by subtracting one of the X values (either 5x or 2x) from either side, but I recommend the side with 2x since it's a smaller value and won't result in a negative.

(This is the right side of the equation)

2x + 9

- 2x

= 9

We need to do the same thing on the other side of the equation too, to balance both sides:

(This is the left side of the equation)

5x - 6

- 2x

= 3x - 6

This is our equation now:

3x - 6 = 9

The next step is to isolate X further by removing any constants (regular numbers) from the side with X. Since the constant on that side is -6, we need to add 6 to that side so that it's cancelled out, and do the same on the other side to balance.

(This is the left side of the equation)

3x - 6

+ 6

= 3x

And now for the other side:

(This is the right side of the equation)

9

+ 6

= 15

This is our current equation:

3x = 15

The final step is to get X completely isolated. X is being multiplied by 3, so we need to divide both sides of the equation by 3 to finally get the value of X.

(This is the left side of the equation)

3x

÷ 3

= x

And now for the other side:

(This is the right side of the equation)

15

÷ 3

= 5

Our final equation:

x = 5

We can check our answer by taking the final X value, 5, and inserting it into our beginning equation.

This is the beginning equation, as a reminder:

5x - 6 = 2x + 9

Replace all instances of X with its value, 5:

(5 · 5) - 6 = (2 · 5) + 9

After simplifying, the result is:

19 = 19, which means the X value is correct.

Answer:

They are equal to one another

Step-by-step explanation:

1/2 is equal to .5, so id you have 6.5 on one side and 6.5 on the other, they are equal.

Answer: =

6 \(\frac{1}{2}\) = 50/100

=6.5

so 6.5 = 6 \(\frac{1}{2}\)

Answer:

T = 50 + 30w

Step-by-step explanation:

Hope this helps :)

Answer:

T = 40 + 20w

Step-by-step explanation:

The initial amount is 50 and the rate per week is 30.

Answer:

3

Step-by-step explanation:

1926/9=214

1923+3=1926

The normal approximation for the distribution of (outcome - point spread is (np(1 - p)0.5

What is Normal Distribution?

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

Reason:

The number of trials n in the binomial setting and the constant success probability p for each of these trials decide the proper normal distribution to choose. Our binomial variable has a mean of np and a standard deviation of (np(1 - p)0.5, which approximates a normal distribution.

It can be demonstrated using simple mathematics that there are a few circumstances in which we must apply a normal approximation to the binomial distribution. To ensure that both np and n(1 - p) are higher than or equal to 10, the number of observations n must be sufficient, as must the value of p. This is a generalization that is supported by statistical theory. The standard approximation can always be used, however it may not be a very accurate approximation if these requirements are not met.

The normal approximation for the distribution of (outcome - point spread is (np(1 - p)0.5

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The probability that 3 out of the 4 captured elk have been tagged is approximately 0.0053.

We can use the concept of combinations.

The total number of ways to choose 4 elk out of 24 is given by the combination formula:

C(24, 4) = 24! / (4!(24-4)!) = 10,626

Now, we need to consider the number of ways to choose 3 tagged elk out of the 8 tagged elk and 1 untagged elk. The number of ways to do this is given by:

C(8, 3) * C(1, 1) = 8! / (3!(8-3)!) * 1! / (1!(1-1)!) = 56

Therefore, the probability that 3 out of the 4 captured elk have been tagged is:

P = (Number of ways to choose 3 tagged elk out of 8 tagged elk and 1 untagged elk) / (Total number of ways to choose 4 elk out of 24)

P = 56 / 10,626

Calculating this division gives us the probability:

P ≈ 0.0053

So, the probability that 3 out of the 4 captured elk have been tagged is approximately 0.0053 .

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Answer:

??????

Step-by-step explanation:

Answer:

nice i like crackers but 30 crackers is a bit much an average serving size should be 7.

Step-by-step explanation:

Solve for y

Subtract 4x both sides

Divide by 3 into both sides

Answer:

There is no sufficient evidence to indicate the true standard deviation is less than 4000

What is standard deviation ?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.

given that n = 16

x = 60139.7

s = 3718.06

∝ = 0.05

To test the hypothesis

H0 : = 4000

H1 :  < 4000 (claim)

test statistics

x² = ((n-1)s²) / H0²

   = (15 * 13823970.16) / (16000000)

   = 12.96

P- value = P [x² < 12.96]           DF = n-1 = 15

             = 0.3946

0.1 < P-value <0.5

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We'll collect and analyze the data and then build the regression model and evaluate it in order to predict the selling price of a house that is 2,700 square feet using single variable regression model.

The single variable regression model assumes a linear relationship between the independent variable (house size) and the dependent variable (selling price). If the relationship is non-linear, a different regression model may be more appropriate.

Question: Use the single variable regression model with house size as the independent variable to predict the selling price of a house that is 2,700 square feet.

To predict the selling price of a house that is 2,700 square feet using the single variable regression model, we need to follow these steps:

1. Collect data: Obtain a dataset that includes information on house sizes and their corresponding selling prices. This dataset will be used to build the regression model.

2. Analyze the data: Examine the dataset to understand the relationship between house size and selling price. Plot a scatter plot to visualize the data points and determine if there is a linear relationship between the two variables.

3. Build the regression model: Fit a regression line to the data points using a statistical method like least squares regression. This line represents the relationship between house size (independent variable) and selling price (dependent variable).

4. Evaluate the model: Assess the quality of the regression model by calculating the coefficient of determination (R-squared value). This value measures how well the regression line fits the data. A higher R-squared value indicates a better fit.

5. Predict the selling price: Now that we have a regression model, we can use it to predict the selling price of a house with a given size. In this case, we want to predict the selling price of a house that is 2,700 square feet.

To predict the selling price of a house that is 2,700 square feet, we substitute the house size value (2,700) into the regression equation. The equation will give us the predicted selling price for a house of that size.

It's important to note that the accuracy of the prediction depends on the quality of the regression model. A higher R-squared value suggests a better prediction accuracy.

Remember, the single variable regression model assumes a linear relationship between the independent variable (house size) and the dependent variable (selling price). If the relationship is non-linear, a different regression model may be more appropriate.

Keep in mind that additional factors such as location, condition, and amenities can also influence the selling price of a house. Therefore, it's advisable to consider these factors in conjunction with the single variable regression model to make more accurate predictions.

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Answer:

christian closest-0.5 is the distance he traveled which is less than 8 and 6

Step-by-step explanation:

Freddie is the fastest because christian travles .1 miles every 2 minutes being the slowest  and .8 is greater than .66666

Answer:

a. Christian

b. Freddie

Step-by-step explanation:

a.

y = mx + b

m is the slope. It represents the speed of walking.

b is the y-intercept. It represents the distance from the school at time 0. Time 0 is when a person leaves his home, so the higher b is the farther from the school the person lives.

Freddie: y = -0.8x + 8

b = 8

Freddie lives 8 miles from school.

Christian: (0, 0.5); b = 0.5

Christian lives 0.5 miles from school.

Trevor: (0, 6) from the graph. b = 6; Trevor lives 6 miles from school.

a. Answer: Christian

b.

Each slope is the speed.

Freddie: m = -0.8

Christian: m = (0.4 - 0.5)/(2 - 0) = -0.1/2 = -0.05

Trevor: m = rise/run = -2/3 = -0.666...

The fastest speed is the slope with the highest absolute value.

b. Answer: Freddie

Answer:

75%

Step-by-step explanation:

There are 8sections. Each section carries 12.5%. There are two red sections which carries 12.5*2=25%. Hence the chance is 75%.

Answer: 11.24

Step-by-step explanation:

add them all together and then divide by 2

Answer:

\(9 \times 9 = 10nines - 1nine \\ 9 \times 9 = 90 - 9 \\ 9 \times 9 = 81 \\ thank \: you \)

Answer:

−2(−x+4) − 3x+2= −5 what is x? Well i might be wrong but i think its 2x

Step-by-step explanation:

PEMDAS USE THAT METHOD

Answer: x=-1

Step-by-step explanation:

Answer:

(5, -3)

Step-by-step explanation:

when you reflect across x axis the y changes symbols.

The Point A(5, 3) is reflected across the x-axis, then the coordinate of the image is (5, -3).

A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.

Given:

The point A(5, 3) is reflected across the x-axis.

The reflection across the x-axis:

The rule for a reflection over the x-axis is,

(x, y) → (x, −y).

So, the image point,

(5, 3) → (5, −3)

Therefore, the image point is (5, −3).

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The range of values for the third side must be 5 < C < 13 this means that the third side must be a value greater than 5 and less than 13.

What is triangle?

A triangle is a two-dimensional geometric shape with three sides and three angles. It is a basic polygon and one of the simplest shapes in geometry. Triangles come in different types based on the length of their sides or the measure of their angles, such as equilateral triangles (all sides are equal), isosceles triangles (two sides are equal), scalene triangles (no sides are equal), right triangles (one angle measures 90 degrees), and obtuse triangles (one angle measures greater than 90 degrees).

The third side of a triangle must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In other words, for a triangle with sides A, B, and C, we have:

                                    A + B > C

                                    B + C > A

                                    A + C > B

For the given sides of 8 and 5, the range of values for the third side can be found by considering the two inequalities:

                                    5 + C > 8

                                     8 + C > 5

Adding the two inequalities, we get:

                        13 > C

So the range of values for the third side must be:

                         5 < C < 13

This means that the third side must be a value greater than 5 and less than 13.

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Question 1: The probability of picking 1 almond cookie followed by another almond cookie is 1/5.

Question 2: The probability of drawing 2 blue marbles in a row is 1/4.

Question 3: The probability of Chang wearing the white shirt and tan pants is 1/4.

In the problem, the chef draws two cookies without replacement from a box containing six cookies of three different types. The probability of picking one almond cookie followed by another almond cookie can be found by using the multiplication rule of probability.

The probability of picking the first almond cookie is 3/6, and since the first cookie is not replaced, there are now only 2 almond cookies left in the box out of a total of 5 cookies. Therefore, the probability of picking another almond cookie is 2/5. Using the multiplication rule, we multiply these probabilities together to get:

P(almond, then almond) = (3/6) x (2/5) = 1/5

In the problem, Peter draws two marbles randomly from a bag containing three different colors of marbles. The probability of drawing two blue marbles in a row can be found by using the multiplication rule of probability again.

The probability of drawing a blue marble on the first draw is 4/8, and since the marble is replaced, there are still 4 blue marbles left out of a total of 8 marbles. Therefore, the probability of drawing another blue marble on the second draw is also 4/8. Using the multiplication rule, we multiply these probabilities together to get:

P(blue, then blue) = (4/8) x (4/8) = 1/4

In the problem, Chang has two shirts and two pairs of pants, and he chooses one of each at random to wear.

The probability of him choosing the white shirt is 1/2, and the probability of him choosing the tan pants is also 1/2. Using the multiplication rule, we multiply these probabilities together to get:

P(white shirt and tan pants) = (1/2) x (1/2) = 1/4

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Answer:

arc length ≈ 37.7

Step-by-step explanation:

the arc length is calculated as

arc = circumference of circle × fraction of circle

    = 2πr × \(\frac{135}{360}\) ( r is the radius )

   = 2π × 16 × \(\frac{3}{8}\)

   = 32π × \(\frac{3}{8}\)

  = 4π × 3

  = 12π

  ≈ 37.7 ( to the nearest tenth )

Answer:

Step-by-step explanation:

X=5?

Answer:

The answer is 12

Step-by-step explanation:

In the beginning, it says f(x) where x is the number of questions answered correctly in that section. So whatever replaces x is your answer. In this case, it is 12.

Answer:

I'm not really sure but I think it could be y=3/4x-4

Step-by-step explanation:

Answer:

it has a frequency of 5

Step-by-step explanation:

Answer:

Explanation:

We want to find what percent of 75 is 80;

to get that we will divide 80 by 75 and multiply by 100%.

Therefore, 80 is 106.67% of 75.