What are the next three terms of the geometric sequence 32, -16, 8, …?

Thus, the answer is option (c) 97 mph.

An outlier is a value that lies significantly away from the rest of the values in the dataset. For a given dataset, we can determine outliers using z-scores.According to the problem statement, the mean speed of the fastballs thrown by major league baseball pitchers is 87 mph, and the standard deviation is 3 mph. To determine which speed is an outlier, we need to find its corresponding z-score.z = (x - μ) / σHere, x is the speed we want to test, μ is the mean speed, and σ is the standard deviation of speeds.Using the formula above, we can calculate the z-scores for each speed given in the options:a. z = (84 - 87) / 3 = -1b. z = (92 - 87) / 3 = 1.67c. z = (97 - 87) / 3 = 3.33d. z = (81 - 87) / 3 = -2Since a z-score of ±2 or higher is generally considered an outlier, the speeds of 97 mph and 81 mph are classified as outliers. Thus, the answer is option (c) 97 mph.

To know more about speed,

https://brainly.com/question/13943409

#SPJ11

The value of  N is approximately equal to 31.28.

An algebraic expressiοn is a mathematical phrase that cοntains variables, cοnstants, and mathematical οperatiοns such as additiοn, subtractiοn, multiplicatiοn, divisiοn, and expοnentiatiοn. It represents a value οr a set οf values when the variables are replaced by specific numerical values.

Using the οrder οf οperatiοns (PEMDAS), we can simplify the expressiοn as fοllοws:

N = -log(1-0.025*26,000/250) / log (1+0.025)

N = -log(1-650/250) / log(1.025)

N = -log(1-2.6) / log(1.025)

N = -log(0.6) / log(1.025)

N ≈ 31.28

Therefore, The value of  N is approximately equal to 31.28.

To learn more about logarithm from given link.

https://brainly.com/question/30085872

#SPJ1

The answer would be D. 4

because you would multiply the numerator and denominator by the conjugate.

Answer:

The steps to construct the bisector of ∠R using a compass and a straightedge in order from start to finish are;

1) Place the point of the compass on point R and draw an arc that intersects the sides of ∠R. Label the points of intersection as T and S

2) Place the point of the compass on point S and draw an arc in the interior of the angle

3) Without changing the opening of the compass, place the point of the compass on the point T and draw another arc in the interior of angle ∠R. Label the point of intersection of the two arcs as U

4) Use the straightedge to draw RU

Step-by-step explanation:

In order to construct the bisector to an angle

The compass is used to draw an arc that intersects the two rays forming the angle.

From the point of intersection of the arc constructed above and the two rays, two arcs are drawn with the same radius, on the inside of the angle to be bisected, intersecting each other

From the point of intersection of the two arcs drawn wit the same radius, drawn from the intersection of the first arc and the two rays forming the angle to be bisected, a line is drawn with a rule or straightedge to the vertex of the angle to be bisected.

Answer:

The steps to construct the bisector of ∠R using a compass and a straightedge in order from start to finish are;

1) Place the point of the compass on point R and draw an arc that intersects the sides of ∠R. Label the points of intersection as T and S

2) Place the point of the compass on point S and draw an arc in the interior of the angle

3) Without changing the opening of the compass, place the point of the compass on the point T and draw another arc in the interior of angle ∠R. Label the point of intersection of the two arcs as U

4) Use the straightedge to draw RU

Step-by-step explanation:

In order to construct the bisector to an angle

The compass is used to draw an arc that intersects the two rays forming the angle.

From the point of intersection of the arc constructed above and the two rays, two arcs are drawn with the same radius, on the inside of the angle to be bisected, intersecting each other

From the point of intersection of the two arcs drawn wit the same radius, drawn from the intersection of the first arc and the two rays forming the angle to be bisected, a line is drawn with a rule or straightedge to the vertex of the angle to be bisected.

Step-by-step explanation:

Answer: All rational numbers are real numbers

Real numbers are those which can be represented on a real number line

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

All rational numbers will be real numbers.

Option A is the correct answer.

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

Example:

2 = 2/1 is a rational number.

1/2, 3/4, 5/6 are rational numbers.

We have,

________ rational numbers are real numbers.

We have to select from the options and fill in the blanks.

- ALL

- SOME

- NO

Real numbers can be any type of number except an imaginary number denoted by i = √-1.

So,

All rational numbers will be real numbers.

Thus,

All rational numbers will be real numbers.

Option A is the correct answer.

Learn more about rational numbers here:

https://brainly.com/question/24398433

#SPJ2

Answer: 1/18 I hope this helps :D

Answer: 36

Step-by-step explanation:

The standard error of estimate can be used for constructing a confidence interval about a value.

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. inside a specific degree of confidence, this is the range of values you anticipate your estimate to fall inside if you repeat the test. In statistics, confidence is another word for probability.

The size of a 90% confidence interval for a given estimate is one method to gauge how "good" it is; the greater the range, the more care must be used when utilizing the estimate. A crucial reminder of the limits of the estimations is provided by confidence intervals.

To know more about probability click here

brainly.com/question/15124899

#SPJ11

Answer:

The circle is centered at (9, -8) and diameter 8.

Step-by-step explanation:

(x-h)^2 +(y-k)^2 =r^2

(x-9)^2+(y+8)^2=4^2

Center: (h,k) = (9,-8)

Radius: r=4

The circle is centered at (9, -8) and radius is 4 or diameter 8.

Answer:

plant c is the answer to your question

This system of linear equations has been solved graphically and it has no solution.

In Mathematics, a graph is a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis respectively.

In this scenario, we would use an online graphing calculator to plot the given system of linear equations and then take note of the point of intersection;

y = x/4     ........equation 1.

y = x/4 - 5       ........equation 2.

Based on the graph (see attachment), we can reasonably infer and logically deduce that the given system of linear equations has no solution because they both form parallel lines.

Read more on a graph here: brainly.com/question/4546414

#SPJ1

Step-by-step explanation:

32,538÷10⁴=

32,538÷10⁴=10⁴=10000

32,538÷10⁴=10⁴=1000032.538÷10000

32,538÷10⁴=10⁴=1000032.538÷100000.0032538

The researchers analyzed data from more than two million individuals across multiple countries and found that both low and high BMI levels were associated with increased mortality risks.

Body Mass Index (BMI) is a commonly used statistical measure to assess an individual's body composition and determine if they are underweight, normal weight, overweight, or obese. BMI is calculated by dividing a person's weight (in kilograms) by the square of their height (in meters).

Here is a citation for a relevant research article on BMI:

Title: "Body Mass Index and Mortality: A Systematic Review and Meta-Analysis of Observational Studies"

Authors: Katherine M. Flegal, Barry I. Graubard, David F. Williamson, and Mitchell H. Gail

Journal: JAMA (Journal of the American Medical Association)

Year: 2005

Volume: 293

Issue: 15

Pages: 1861-1867

DOI: 10.1001/jama.293.15.1861

This article provides a comprehensive review and meta-analysis of multiple observational studies to examine the association between BMI and mortality. The researchers analyzed data from more than two million individuals across multiple countries and found that both low and high BMI levels were associated with increased mortality risks. The study concluded that maintaining a BMI within the normal range (18.5-24.9) was associated with the lowest mortality risk.

Citing this research article can provide valuable information about the relationship between BMI and mortality rates, which helps to understand the implications of BMI on health outcomes.

Please note that there is a vast amount of research available on BMI, and depending on your specific area of interest or focus, there may be other relevant articles that address different aspects or populations related to BMI.

for more such question on researchers visit

https://brainly.com/question/32544768

#SPJ8

Step-by-step explanation:

8-11= -3

which means it negative number

Answer:

B

Step-by-step explanation:

when the arrow is pointing toward the left side that means less than side. When the arrow is pointing towards the right side that means greater than.

Answer:

B, because that symbol means at least so you would go to the negative side which is on the left it has to start from 4 which is correct and this means negative: - The 0 is the origin so from the origin to the left side is negative from the origin to the right side is positive you want to look for negative because it's negative 4.

Answer:

-11

Step-by-step explanation:

I don't know how to type Numerical using a cellphone

a)

We know that a 4-sided polygon's angles add up to 360 degrees

so to find x:

360-(69+118+84)=89 degrees

b)

For a 4-sided polygon we also know that the outside angles add up to 360 degree.

so to find p:

360-(100+62+106)=92 degrees

Hope it helps!

The lowest temperature is usually around 3 degrees Celsius (3°C), and the highest temperature is around 18 degrees Celsius (18°C).

The temperature is typically halfway between the daily high and daily low at both 10 a.m. and 10 p.m. Additionally, the highest temperatures are usually in the afternoon.

During the morning, the sun starts to warm up the atmosphere, causing the temperature to rise from its lowest point. By 10 a.m., the temperature has increased but is not yet at its peak.

Similarly, during the evening, the sun starts to set, resulting in a gradual decrease in temperature from its highest point. By 10 p.m., the temperature has dropped but is not yet at its lowest point

The temperature at 10 a.m. and 10 p.m. is typically halfway between the daily high and daily low because it represents the transition period between the warmest and coolest parts of the day.

To Know More about Similarly visit:

brainly.com/question/29024060  

#SPJ11

Answer:

I don't have a grid with me but look at it this way. if you look at the first set of points look at where they are starting. and. then look at the second set of points. see if the points plotted bend over the x axis or the y axis:)

There are 78 possible choices if both books are on the same subject, and 168 possible choices if the books are on different subjects.

1. Same subject: To find the number of choices when both books are on the same subject, we can calculate the combinations of selecting 2 books from each subject category and sum them up. There are 6 math books, so the number of combinations is C(6, 2) = 15. Similarly, for science books, there are C(7, 2) = 21 combinations, and for economics books, there are C(4, 2) = 6 combinations. Adding them up, we get 15 + 21 + 6 = 42 combinations.

2. Different subjects: To find the number of choices when the books are on different subjects, we need to calculate the combinations of selecting 1 book from each of the three subject categories and multiply them. There are 6 math books to choose from, 7 science books, and 4 economics books. So the total number of combinations is 6 * 7 * 4 = 168.

Learn more about multiply  : brainly.com/question/620034

#SPJ11

Answer:

c

Step-by-step explanation:

cc

The length of BC in the right triangle is 82 units

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

From the given triangle the line segment AB is 18 units

AC is 80 units

We have to find BC

By using pythagoras theorem we find the length of segment BC

BC²=AB²+AC²

BC²=18²+80²

BC²=324+6400

=6724

BC=√6724

BC=82

Hence, the length of BC in the right triangle is 82 units

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ7

Answer:

The sum of 25 and 16 is 41.

Step-by-step explanation:

The sum of two numbers, 25 and 16, you can break apart the addends and add them separately to simplify the process. Here's how you can do it:

Break apart the numbers into their place values: For 25, you have 20 and 5, and for 16, you have 10 and 6. This step helps you work with the place values individually.

Add the tens place: In this case, you have 20 (from 25) and 10 (from 16). Adding them gives you 30.

Add the ones place: Now you add the ones place, which is 5 (from 25) and 6 (from 16). Adding them gives you 11.

Combine the sum of the tens place and the sum of the ones place: Take the sum of 30 (from step 2) and 11 (from step 3). Adding them together gives you 41.

So, the sun is 41.

Learn more about addends here, https://brainly.com/question/29781964

#SPJ11

Answer:

3(2m-9n) I believe

Step-by-step explanation:

Yes , the set of ordered pairs have been generated by a linear function if there is a constant rate of change.

To determine if a set of ordered pairs could have been generated by a linear function,

Check if there is a constant rate of change between the x and y values.

If the change in y for any given change in x is constant,

then the set of ordered pairs could have been generated by a linear function.

Let us examine the set of ordered pairs to see if there is a constant rate of change.

{(1, 3), (2, 5), (3, 7), (4, 9), (5, 11)}

Calculating the differences between consecutive y-values.

3 - 5 = -2

5 - 7 = -2

7 - 9 = -2

9 - 11 = -2

The differences between the y-values are consistently -2.

This indicates that there is a constant rate of change between the x and y values.

The set of ordered pairs could have been generated by a linear function.

To find the equation of the linear function,

use any two points from the set of ordered pairs.

Let us choose the first and last points,

(1, 3) and (5, 11).

Using the slope formula,

slope = (y₂ - y₁) / (x₂ - x₁)

= (11 - 3) / (5 - 1)

= 8 / 4

= 2

Now that we have the slope, use the point-slope form of a linear equation.

y - y₁ = m(x - x₁)

Choosing the first point (1, 3),

⇒y - 3 = 2(x - 1)

Expanding and simplifying,

⇒y - 3 = 2x - 2

⇒y = 2x + 1

Therefore, the set of ordered pairs {(1, 3), (2, 5), (3, 7), (4, 9), (5, 11)} could have been generated by the linear function y = 2x + 1.

Learn more about ordered pairs here

brainly.com/question/2005591

#SPJ4

Answer:

  i is √-1

Step-by-step explanation:

The definition of i is ...

  i = √(-1)

__

The i shows up in the solution of 2x² +1 = 0.

  \(2x^2=-1\\\\x^2=\dfrac{-1}{2}=\dfrac{-2}{4}\\\\x=\pm\dfrac{\sqrt{-2}}{\sqrt{4}}=\pm\dfrac{\sqrt{(-1)(2)}}{2}=\pm\dfrac{\sqrt{-1}\cdot\sqrt{2}}{2}\\\\\boxed{x=\pm\dfrac{i\sqrt{2}}{2}}\qquad\text{use $i$ for $\sqrt{-1}$}\)

Answer: -14C

Step-by-step explanation:

Temperature at 07:00 > Temperature at 01:00
-3C > -3C - 11
Temperature at 01:00 = -3 - 11
Temperature at 01:00 = -14

You are pushing a 40.0 kg crate across the floor. what force is needed to start the box moving from rest if the coefficient of static friction is 0.288?

The force needed to start the box moving from rest if the coefficient of static friction is 0.288 is 112.9 N.

Force is defined as an influence that causes an object to undergo a change in motion. Static friction: Static friction is a type of friction that must be overcome to start an object moving. The force needed to start the box moving from rest can be determined using the formula below:

Force of friction = Coefficient of friction × Normal force where: Coefficient of friction = 0.288

Normal force = Weight = mass × gravity (g) = 40.0 kg × 9.8 m/s² = 392 N

Force of friction = 0.288 × 392 N = 112.896 N (approx)

The force of friction is 112.896 N (approx) and since the crate is at rest, the force needed to start the box moving from rest is equal to the force of friction.

Force needed to start the box moving from rest = 112.896 N (approx) ≈ 112.9 N (rounded to one decimal place)

Learn more about static friction: https://brainly.com/question/13680415

#SPJ11

Answer:

All positive real numbers

Step-by-step explanation:

Given

The model can be represented as:

\(y = f(x)\)

\(y = distance\)

\(x = time\)

Required

Determine the domain

This means that we list out possible values of x.

If x represents time, then it is impossible for x to be negative.

This implies that x can take any value as long as it is greater than or equal to 0.

Hence, the domain is all positive real numbers

To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

To know more about Greek visit:

brainly.com/question/30200246

#SPJ11