Attribute that describes right pyramid is triangular faces.
What is pyramid?A pyramid is a three-dimensional shape. A pyramid has a polygonal base and a flat triangular face that join at a common point called the apex. A pyramid is formed by connecting the base and apex. Each edge of the base connects to the top and forms triangular faces called sides.
Given, properties of right pyramid
1. 2 apexes - A right pyramid has only one apex
2. Triangular faces - A right pyramid has flat triangular faces.
3. Circular base - A right pyramid has polygonal base, not circular base
4. curved surface - A right pyramid has flat surface, not curved surface.
Hence, Property of triangular faces is present in a right pyramid.
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Is there an AP Statistics formula sheet?
The AP Statistics formula sheet is illustrated below.
An Advanced Placement (AP) Statistics class, you may be wondering if there is a formula sheet available to help you study and prepare for exams.
The formula sheet includes formulas and equations that are commonly used in statistics, such as measures of central tendency, standard deviation, probability, hypothesis testing, and regression analysis. These formulas are essential for understanding statistical concepts and solving problems in real-world applications.
It's important to note that while the formula sheet is available during the AP exam, it does not include every formula that you will need to know. You will still need to have a solid understanding of statistical concepts and be able to apply them to new situations.
In addition to the formula sheet, it's also helpful to practice working with data sets, analyzing graphs and charts, and interpreting results.
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2(x-6)<1/2(12x-8) solve
A solution to this inequality 2(x - 6) < 1/2(12x - 8) include the following: x > -2.
What is an inequality?In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Next, we would multiply both sides of the inequality by 2 as follows;
2(x - 6) < 1/2(12x - 8)
4(x - 6) < (12x - 8)
4x - 24 < 12x - 8
By collecting like-terms and rearranging the expression, we have:
8 - 24 < 12x - 4x
-16 < 8x
x > -2
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Sharon is assessing the popularity of a fashion magazine for her blog. The number of subscribers to the magazine for the years 2000 to 2004 are given in the table.
Number of Years Since 2000 Number of Subscribers
0 25,000
1 20,000
2 16,000
3 12,800
4 10,240
The number of subscribers to the magazine
at a constant rate. The function that best represents this relationship is
.
The number of subscribers is
.
As the number of years since 2000 increases, the number of subscribers to the magazine will approach
.
As the number of years since 2000 increases, the number of subscribers to the magazine will approach zero, since the linear function p(x) = -4200x + 25000 is decreasing and has a negative slope.
What is a function ?
Function can be defined in which it relates an input to output.
The number of subscribers to the magazine is decreasing at a constant rate. This means that the relationship between the number of subscribers and the number of years since 2000 can be modeled by a linear function.
To find the function that best represents this relationship, we can use the two-point form of a linear equation. We will use the points (0, 25000) and (4, 10240) from the table.
The slope of the line passing through these two points is:
slope = (y2 - y1) / (x2 - x1)
= (10240 - 25000) / (4 - 0) = -4200
Using the point-slope form of a linear equation with the point (0, 25000), we get:
y - y1 = m(x - x1)
y - 25000 = -4200(x - 0)
y - 25000 = -4200x
y = -4200x + 25000
Therefore, the function that best represents the relationship between the number of subscribers and the number of years since 2000 is:
p(x) = -4200x + 25000
where x is the number of years since 2000 and p(x) is the number of subscribers to the magazine.
Using this function, we can find the number of subscribers to the magazine for any given year. For example, to find the number of subscribers in the year 2007 (7 years since 2000), we would substitute x = 7 in the function:
p(7) = -4200(7) + 25000
p(7) = 21800
Therefore, the number of subscribers to the magazine in the year 2007 is 21800.
Therefore, As the number of years since 2000 increases, the number of subscribers to the magazine will approach zero, since the linear function p(x) = -4200x + 25000 is decreasing and has a negative slope.
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the probability that a discrete random variable equals any of its values is
The probability that a discrete random variable equals any of its values is 1. This is because each discrete random variable can take any value within its range with equal probability.
X is a discrete random variable, then for any value x that X can take on, the probability P(X=x) is a number between 0 and 1. This means that there is a non-zero probability for each possible value of X. The sum of the probabilities of all possible values of X must equal 1. This is known as the probability distribution of X.
Mathematically, we can express this as:
0 ≤ P(X=x) ≤ 1 for all x
∑ P(X=x) = 1 over all possible values of x
For example, if X represents the outcome of a fair six-sided die roll, then the probability of X equaling any of its values (1, 2, 3, 4, 5, or 6) is 1/6, since each outcome has an equal probability of occurring and there are six possible outcomes. Therefore, P(X=1) = P(X=2) = P(X=3) = P(X=4) = P(X=5) = P(X=6) = 1/6 and the sum of these probabilities is 1.
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a plant is 6.2cm tall
the height of the plant increases by 11% each week
find how tall the plant will be after two weeks
Answer:
7.64
Step-by-step explanation:
1 week: (100% + 11%) × 6.2
111% × 6.2 = 6.882 cm
OR
11% × 6.2 = 0.682 cm
6.2 + 0.682 = 6.882 cm
Because the plant grows 11% additional to its original height.
1 week = 6.882 cm
2 weeks = 111% × 6.882 cm
OR
11% × 6.882cm = 0.75702 cm
0.75702 cm + 6.882 = 7.63902 cm
Because an additional 11% is added to what was grown in week 1.
=7.63902 cm
= 7.64 cm (rounded to 2 decimal places)
hope this helps!
PLEASE HELP ANSWER QUESTIONS BELOW
∠6 and ∠8 are vertical angles.
∠2 and ∠7 are same side exterior angles
∠3 and ∠ 5 are alternate interior angles
∠1 and ∠2 are supplementary angles
What are transverse angles?Transversal angles are angles that are formed when a transversal line intersects two other lines in a plane. A transversal is a line that intersects two or more other lines, which are called the base lines.
When a transversal intersects two parallel lines, it creates eight angles. These angles can be classified into three types:
Corresponding angles: Pairs of angles that are on the same side of the transversal and in corresponding positions relative to the parallel lines. Corresponding angles are congruent when the parallel lines are cut by the transversal.
Alternate interior angles: Pairs of angles that are on opposite sides of the transversal and between the parallel lines. Alternate interior angles are congruent when the parallel lines are cut by the transversal.
Alternate exterior angles: Pairs of angles that are on opposite sides of the transversal and outside the parallel lines. Alternate exterior angles are congruent when the parallel lines are cut by the transversal.
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if i break a stick of unit length into three random pieces, what is the expected length of the largest piece?
Using the probability formula the value for the largest piece is obtained as 3/4.
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.
Let X be the length of the largest piece when a unit stick is broken into three random pieces.
We want to find E(X), the expected value of X.
To solve for E(X), we can use the law of total probability and consider all possible lengths for the first cut.
Let Y be the length of the first piece, which can take any value between 0 and 1.
Then, we can write -
E(X) = ∫[0,1] E(X|Y=y) fY(y) dy,
where fY(y) is the probability density function of Y and E(X|Y=y) is the expected value of X given that the first piece has length y.
Now, let's consider the possible cases for the lengths of the other two pieces -
If the second cut is made in the interval [0,Y], then the largest piece has length Y.
If the second cut is made in the interval [Y,1-Y], then the largest piece has length 1-Y.
If the second cut is made in the interval [1-Y,1], then the largest piece has length Y.
Therefore, we can write -
E(X|Y = y)
= y × 1 + (1 - y) × 1/2 + (1 - y)×1
= 1/2 + y/2.
Substituting this into the previous formula and using the fact that the density function for a uniform distribution on [0,1] is fY(y) = 1 for 0 ≤ y ≤ 1, we get -
E(X) = ∫[0,1] (1/2 + y/2) dy
= [y^2/4 + y/2] from 0 to 1
= 3/4.
Therefore, the expected length of the largest piece is 3/4.
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what kind of degree/certification is needed for a forensic pathologist
To become a forensic pathologist, you must first complete an undergraduate degree in medicine, biology, chemistry, or a similar discipline, with electives in forensic science, psychology, or a related field.
what is a forensic pathologist?
The forensic pathologist is a pathologist who specialises in the examination of people who die suddenly, unexpectedly, or brutally. A forensic pathologist specialises in establishing the cause and manner of death.
Autopsies are performed to determine the presence or absence of disease, injury, or poisoning; to evaluate historical and law-enforcement investigative information pertaining to determine the cause of death; to gather medical evidence, such as trace evidence and secretions; to document sexual assault; and to recreate how a person was injured.
Now,
To become a forensic pathologist, you must first complete an undergraduate degree in medicine, biology, chemistry, or a similar discipline, with electives in forensic science, psychology, or a related field.
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The population of Medway, Ohio, was 4,007 in 2000. It is expected to decrease by about 0.36% per year. Write an exponential decay function and use it to approximate the population in 2020.
The population of Medway, Ohio, is expected to be approximately 3728 in the year 2020.
How to determine the exponential decay functionFrom the question, we have the following parameters that can be used in our computation:
Initial, a = 4007
Rate = 0.36% per year
The decay function is represented as
y = a(1 - rate)^x
So, we have
y = 4007 * (1 - 0.36%)^x
This gives
y = 4007 * (0.9964)^x
The year 2020 is 20 years from 2000
So, we have
x = 20
Substitute the known values in the above equation, so, we have the following representation
y = 4007 * (0.9964)^20
Evaluate
y = 3728
Hence, the approximate solution is 3728
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Darrel receives a weekly salary of $289. In addition, $13 is paid for every item sold in excess of 100 items. How much will Darrel earn for the week if he sold 122 items?
Daren will earn $286 for the week if he sold 122 items.
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
Given that;
Darrel receives a weekly salary of $289.
And, In addition, $13 is paid for every item sold in excess of 100 items.
Hence, The cost to earn for the week if he sold 122 items is,
⇒ (122 - 100) × $13
⇒ 22 × $13
⇒ $286
Thus, Daren will earn $286 for the week if he sold 122 items.
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on a unit circle θ=pi/2 radians. identity the terminal point and sin θ
Answer:
A.
Step-by-step explanation:
Answer A. sin(pi/2)=1, and because it is orthogonal to the x-axis, the x value is 0.
50 is what percent of 1000
Answer:500
explanchion: 1000/50=500
This pattern follows the rule "multiply by 2."
4, 8, 16, 32, 64, 128
What other observation can you make about the number pattern?
Answer:
Step-by-step explanation:
256. You can make this observation because they pattern has a rule that you multiply by 2 to get the next number.
Answer:
Another observation we can make about this number pattern is that each term is obtained by doubling the previous term. This means that the pattern is an example of exponential growth, where the growth factor is 2.
We can also observe that the sequence is a power of 2, where the first term is 2^2, the second term is 2^3, the third term is 2^4, and so on. In other words, the nth term in the sequence can be represented by the formula 2^(n+1).
Additionally, we can see that the sequence is an increasing sequence, where each term is greater than the previous one. This is because we are multiplying each term by 2, which means that each subsequent term will be twice as large as the previous one.
A toy company is building dollhouse furniture. A rectangular door of a dollhouse has a height of 5 centimeters and a width of 3 centimeters. What is the perimeter of the door on a scale drawing that uses the scale 2:8?
4 cm
10 cm
16 cm
64 cm
Answer:10 cm
Step-by-step explanation:
Answer:B 24 cm
Step-by-step explanation:
A manager's salary of N600 is increased by 12%. What is his new salary?
Answer:
672
Step-by-step explanation:First you need to change the percent into 12 over 100 times 600.then the result is 72.after that it says increased so you plus 600 plus 72 and that is the answer
You can compare two marginal distributions to see if the corresponding two variables are related.T or F
You cannot compare two marginal distributions to see if the corresponding two are related . So, the statement is false .
The answer to the stated question is false . No , you cannot compare two marginal distributions to see if the corresponding two variables are related.
The given question is related to probability and statistics.
Coming to probability distribution , it is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events.
The marginal distribution of a subset of a collection of random variables is the probability distribution of the variables contained in the subset. It gives the probabilities of various values of the variables in the subset without reference to the values of the other variables.
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Identify each as function even, odd, or neither. Explain or show your reasoning.
1. the function k shown here:
k
YA
2-1
2. the function f defined by f(x) = 3* +3**
N
X
As k(-x) = -k(x), the function k is indeed an odd function. By switching the words in f, we can observe that f(-x) Equals f(x) (x). Hence, f is an even function.
What is a brief explanation of function?A collection of inputs or one output for each input are referred to as a "function" in this sentence. Simply described, a function is a connection between inputs where each input is connected to exactly one output. Each function has a domain, codomain, or range.
According to the given information:1.The function k is an odd function.
A function is odd if f(-x) = -f(x) for all x. In the case of function k, we have:
k(-x) = 2 - 1(-x) = 1 + 2x
k(x) = 2 - 1(x) = 1 + 2x
Therefore, k(-x) = -k(x), and the function is odd.
2.The function f is an even function.
A function is even if f(-x) = f(x) for all x. In the case of function f, we have:
f(-x) = 3^(-x) + 3^x
f(x) = 3^x + 3^(-x)
We can see that f(-x) = f(x) by swapping the terms in f(x). Therefore, f is an even function.
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How does changing the sign of the constant a from positive to negative affect the domain and range of f(x) = a|x|?
When changing the sign of the constant a from positive to negative, the domain remains the same. But the range changes.
A function's range is the set of all values it can accept, whereas its domain is the set of all values for which it is defined.
Consider the given function f(x)=a|x|. Let us consider "a" takes positive values that is [tex]a\geq0[/tex]. Then, the given function is defined as follows,
[tex]f(x)=\begin{cases}a(x)=ax}\; &x\geq0\\{a(-x)=-ax\;&x < 0\end{cases}[/tex]
Then, the domain will be [tex]\text{domain}=\mathbb{R}\{(-\infty, \infty)[/tex] and the range will be given as [tex]\text{Range} = \text{only non-negative real numbers} = \mathbb{R}^++\{0\}[/tex].
Now let us consider "a" takes negative values that is a<0. Then, the given function is defined the same and the domain will remain the same. But the range will be given as [tex]\text{Range} = \text{only negative real numbers} = \mathbb{R}^-+\{0\}[/tex].
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Miss Hodgman is helping her students understand two-dimensional figures in her support group. Her microphone cut out, so the students missed the name of the following shape. "It's a 4-sided flat shape with 90 degree corners, and straight sides that has a pair of opposite sides parallel." What shape is she describing?
please help me.
The shape Miss Hodgman is describing a parallelogram.
A parallelogram is a two-dimensional flat shape with four sides. It has two pairs of opposite sides that are parallel and congruent, meaning they have the same length. Each pair of opposite sides is also parallel and has equal distance between them. The four interior angles of a parallelogram are all right angles or 90-degree angles.
The opposite angles of a parallelogram are also congruent, which means they have the same measure. The adjacent angles of a parallelogram are supplementary, which means they add up to 180 degrees. Therefore, each angle of a parallelogram measures 180 degrees divided by two, or 90 degrees.
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if 3x-4=-25, then x=?
Answer: x = -7
Step-by-step explanation:
3x-4=-25
add 4 on each side
3x=-21
both are divisible by 3
x=-7
Find the product of (3 x 107)and (2 x 107). Write the final answer in scientific notation. !!!!!!!!!!!!!!!!!!!
The product of (3 x 107) and (2 x 107) is 6.8694 x 10^4
To find the product of (3 x 107)and (2 x 107), we can use the distributive property of multiplication which states that the product of a number and a sum is equal to the sum of the products of the number and each term in the sum. In this case, we can multiply the numbers outside the parentheses first, and then multiply the result by the common factor of 107 to simplify the expression:
(3 x 107) x (2 x 107) = 6 x (107 x 107)
Next, we can calculate the product of 107 and 107, which is 11,449:
6 x 11,449 = 68,694
In scientific notation, this can be written as:
= 6.8694 x 10^4
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Calculate the value of x to one decimal place
The value of x to one decimal place in the given question is 30.33 and 14.76.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot. Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse. These are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).
We are given that;
In triangle 1
Hypotenuse= x
Perpendicular=27
Angle between base and hypotenuse= 63
In triangle 2
Hypotenuse= 18
Base= x
Angle between hypotenuse and base=35
Now in triangle 1
sin63= 27/x
0.89=27/x
x=27/0.89
x=30.33
In triangle 2
cos35=x/18
0.82=x/18
x=14.76
Therefore by trigonometric identities the answer will be 30.33 and 14.76.
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can the tangent constraint be applied between a line and an arc?
Answer:
yes
Step-by-step explanation:
Write an expression for thr measure of the given angle
The expression for the measure of the given angle in the image of the circle with center O is [tex]\frac{arc UZW}{2}[/tex].
Remember that the angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference. According to this, we can deduce the following expression for the measure of the given angle:
[tex]m\angle UXY = \frac{arc UZW}{2}[/tex]
An angle is a figure in Plane Geometry generated by two rays or lines that share a common endpoint. The term "angle" is derived from the Latin word "angulus," which meaning "corner". The two rays are referred to as the sides of an angle, while the common terminus is referred to as the vertex. The angle in the plane does not need to be in Euclidean space.
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Am I a function? Explain how you know it is or isn't a function.
Answer:
Function.
Step-by-step explanation:
This graph is a function because all points on the line are different and do not intersect. (vertical line test)
Hope it helped!
The amount of time needed to make
2000 boxed lunches is inversely
proportional to the number of people
working on the task.
If it takes 15 people 8 hours to
complete the job, how long would
making the boxed lunches take if 24
people worked on the task?
The number of hours that it will take 24 people in making the boxed lunches on the task would be = 5 hours
How to calculate the number of hours it will cost?The relationship that exists between the number of boxes lunches and the number of people is an inverse relationship.
That is 200 inversely related 1/number of people
That is;
200 × number of people = k
Therefore, 15 people (N1)= 8 hours(T1)
24 people (N2)= X hours(T2)
using the constant of the inverse relationship above;
N1T1 = N2T2
15×8 = 24 × X
X = 15×8/24
X = 120/24
X = 5 hours.
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What are the types of moment of inertia units?
The units of moment of inertia depend on the shape and dimensions of the object, and can be expressed in kg m², g cm², lb ft², or oz in².
The units of the moment of inertia depend on the shape and dimensions of the object. Some common units for a moment of inertia are:
kg m² (kilogram-meter squared)
g cm² (gram-centimeter squared)
lb ft² (pound-foot squared)
oz in² (ounce-inch squared)
These units represent the distribution of mass around an axis of rotation and are used in calculations involving rotational motion and torque.
The moment of inertia is a physical property of an object that determines its resistance to rotational motion. It depends on the mass distribution of the object and its orientation with respect to the axis of rotation. The moment of inertia is typically represented by the symbol I and is measured in units of kg m², g cm², lb ft², or oz in². The moment of inertia can be calculated using the object's mass, dimensions, and shape, and is used in calculations involving rotational motion, such as torque and angular acceleration. Different shapes and distributions of mass have different moments of inertia, which can affect the object's motion and stability.
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What is the x-intercept of a line
Answer:
The x-intercept is the point where a line crosses the x-axis
Step-by-step explanation:
A man walks on a bearing of 307 ° . After a time he turns 90 ° to his right. What is his new bearing?
This means that his new bearing is 323° clockwise from true north, or simply 0°, which is equivalent to facing due north.
What is bearing?A bearing is a direction measured in degrees relative to a fixed reference point, usually true north. In this case, the man's initial bearing of 307° means that he is moving in a direction that is 307 degrees clockwise from true north.
After he turns 90° to his right, he will be facing in a new direction that is perpendicular to his original direction of travel. Turning 90° to the right means he is now facing due north (since 307° + 90° = 397°, which is equivalent to 37° clockwise from true north).
However, bearings are typically measured as angles clockwise from true north, so we need to convert the angle of 37° counterclockwise from true north into a bearing that is measured clockwise from true north.
To do this, we subtract 37° from 360° to get 323°.
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14. A manager of an apartment complex conducts a survey of the teenagers
in the building about what new activities they would like to see happen in the
community room on Saturdays for teens.
a. Are the data numerical or categorical?
Answer:
The data in this scenario would most likely be categorical, as the responses would likely consist of categories or labels that describe the different activities that the teenagers would like to see in the community room on Saturdays.
Step-by-step explanation:
For example, the responses might include categories such as "video games," "board games," "movie nights," "sports activities," "arts and crafts," and so on. These categories are not numerical values, but rather descriptive labels.
