in a symmetric distribution, the value that could be the median of the distribution must be equal to the mean.
In probability and statistics, the mean and median are two measures of central tendency that are commonly used to describe a data set. The mean, also known as the arithmetic mean or average, is calculated by summing up all the values in the data set and dividing by the total number of values. The median, on the other hand, is the middle value of a data set when the values are arranged in order from lowest to highest.
For a symmetric distribution, the mean and median are the same, because the data values on one side of the mean balance out the values on the other side. In other words, if the distribution is symmetric, then the data values are evenly distributed around the mean.
In this case, if the mean of a symmetric distribution is 130, then the median must also be 130. This is because the median is the middle value of the data set, and in a symmetric distribution, the middle value is the same as the mean.
To illustrate this, consider a simple example of a symmetric distribution with the following values: 125, 130, 135, 140. The mean of this distribution is (125 + 130 + 135 + 140) / 4 = 132.5. However, the median is the middle value of the data set, which is 130. Since the distribution is symmetric, the middle value is the same as the mean.
Therefore, in a symmetric distribution, the value that could be the median of the distribution must be equal to the mean.
To know more about symmetric go through:-
https://brainly.com/question/29861415
#SPJ9
Complete question:- If the mean of a symmetrical distribution is 130, which of these values could be the median of the distribution?
Find the value of the following:
tan (sin-¹ // )
[?}√[
Give your answer in lowest terms.
Rationalize the denominator If necessary.
Enter the number that belongs in the green box.
Enter
The value of the given trigonometric expression tan(arcsin (2/7)) is 0.29.
What are expressions?Mathematical statements called expressions must have a minimum of two words with either numbers, variables, or both, joined by an operator. The four different types of mathematical operators are addition, subtraction, multiplication, and division. For instance, the expression x + y is an expression where x and y are words with an addition operator between them. Mathematical expressions may be divided into two categories: algebraic expressions, which include both numbers and variables, and numerical expressions, which solely contain numbers.
The given expression is tan(arcsin (2/7)).
The value of arcsin(2/7) = 16.60
Now substitute the value:
tan(16.60) = 0.29
Hence, the value of the given trigonometric expression tan(arcsin (2/7)) is 0.29.
Learn more about expressions here:
https://brainly.com/question/953809
#SPJ1
The trigonometric expression tan(arcsin (2/7)) has a value of 0.29.
What are trigonometric expressions?
Mathematical statements called expressions must have a minimum of two words with either numbers, variables, or both, joined by an operator.
The addition, subtraction, multiplication, and division operations are the four distinct categories of arithmetic operators.
For instance, the expression x + y is an expression where x and y are words with an addition operator between them.
Mathematical expressions may be divided into two categories: algebraic expressions, which include both numbers and variables and numerical expressions, which solely contain numbers.
The given expression is tan(arcsin (2/7)).
The value of arcsin(2/7) = 16.60
Now substitute the value:
tan(16.60) = 0.29
Hence, the value of the given trigonometric expression tan(arcsin (2/7)) is 0.29.
Learn more about expressions here:
brainly.com/question/953809
#SPJ1
Polly's sister-in-law is going to have a baby! For the baby shower, Polly decided to sew pillow to give as a gift. She is using a flower-printed rectangular piece of fabric that is 26 inches long and 22 inches wide.
Answer:
The answer is 96
Step-by-step explanation:
2*(26+22)
2*48
96
Trevor used about half of a 5-lb bag of potatoes (2 lb 6 oz). How much did the remaining potatoes weigh?
Answer:
Step-by-step explanation:
f Trevor used 2 lb 6 oz of a 5-lb bag of potatoes, then the weight of the remaining potatoes is:
5 lb = 80 oz (since 1 lb = 16 oz)
Remaining potatoes = Total potatoes - Used potatoes
Remaining potatoes = 80 oz - 2 lb 6 oz
Remaining potatoes = 80 oz - (2 × 16 oz + 6 oz)
Remaining potatoes = 80 oz - 38 oz
Remaining potatoes = 42 oz
Therefore, the remaining potatoes weighed 2 lb 10 oz (or 42 oz).
Determine an expression for the missing side
length. Be sure to show your work!
The expression for the missing side length, c, is c = √(a² + b²).
To determine an expression for the missing side length, follow these steps:
Identify the given side lengths in the problem. You didn't provide the specific side lengths or the type of shape
(triangle, rectangle, etc.), but I will assume it's a right triangle with given side lengths a and b, and the missing side
length is c (the hypotenuse).
Apply the Pythagorean theorem for a right triangle, which states that the sum of the squares of the two shorter sides (a
and b) is equal to the square of the hypotenuse (c):
a² + b² = c².
Solve for the missing side length (c) by taking the square root of both sides of the equation:
c = √(a² + b²).
So, the expression for the missing side length, c, is c = √(a² + b²).
for such more question expression
https://brainly.com/question/723406
#SPJ11
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. 2 similar right triangles. Triangle 1 has side length 12, hypotenuse 15, and blank side. Triangle 2 has side length 4, hypotenuse 5, and blank side. a. StartFraction 4 Over 15 EndFraction = StartFraction 5 Over 12 EndFraction = StartFraction 4 Over 15 EndFraction b. StartFraction 4 Over 5 EndFraction = StartFraction 12 Over 15 EndFraction = StartFraction 4 Over 5 EndFraction c. StartFraction 4 Over 12 EndFraction = StartFraction 5 Over 15 EndFraction = StartFraction 1 Over 3 EndFraction d. StartFraction 5 Over 4 EndFraction = StartFraction 15 Over 12 EndFraction = StartFraction 5 Over 4 EndFraction
Answer:
Step-by-step explanation: To find the ratio of corresponding sides for the two similar triangles, we need to match up the corresponding sides of the triangles and write the ratios of their lengths.
For Triangle 1, we have:
Side length = 12
Hypotenuse = 15
We can use the Pythagorean theorem to find the length of the blank side:
(Blank side)^2 = (Hypotenuse)^2 - (Side length)^2
(Blank side)^2 = 15^2 - 12^2
(Blank side)^2 = 225 - 144
(Blank side)^2 = 81
Blank side = 9
So, for Triangle 1, we have the following ratios:
Side length : Hypotenuse = 12 : 15
Side length : Blank side = 12 : 9
Hypotenuse : Blank side = 15 : 9
For Triangle 2, we have:
Side length = 4
Hypotenuse = 5
We can use the Pythagorean theorem to find the length of the blank side:
(Blank side)^2 = (Hypotenuse)^2 - (Side length)^2
(Blank side)^2 = 5^2 - 4^2
(Blank side)^2 = 25 - 16
(Blank side)^2 = 9
Blank side = 3
So, for Triangle 2, we have the following ratios:
Side length : Hypotenuse = 4 : 5
Side length : Blank side = 4 : 3
Hypotenuse : Blank side = 5 : 3
Therefore, the ratio of corresponding sides for the two similar triangles is:
Side length : Side length = 12 : 4 = 3 : 1
Hypotenuse : Hypotenuse = 15 : 5 = 3 : 1
Blank side : Blank side = 9 : 3 = 3 : 1
Reducing each ratio to lowest terms, we get:
Side length : Side length = 3 : 1
Hypotenuse : Hypotenuse = 3 : 1
Blank side : Blank side = 3 : 1
So the correct answer is (b) StartFraction 4 Over 5 EndFraction = StartFraction 12 Over 15 EndFraction = StartFraction 4 Over 5 EndFraction.
Scientists are making an aerial study of a volcano. Their helicopter is circling at a 4 km radius around the volcano's crater, and one of the scientists notices a new vent that is 45° east of due south from the crater. What is the position of the new vent relative to the crater?
Answer:
2√2 km south and 2√2 km west of the volcano's crater.
Step-by-step explanation:
If the scientist is at the center of the circle with the volcano's crater, then the new vent is located 45° east of due south, or 135° counterclockwise from due north.
To describe the position of the new vent relative to the crater, we can use the bearing or direction angle, which is the angle between the north direction and the line connecting the crater and the new vent, measured counterclockwise.
To find the bearing, we can draw a right triangle with the hypotenuse equal to the distance from the center of the circle to the new vent, which is also the radius of the circle, or 4 km. The opposite side of the triangle is the north-south component of the line connecting the crater and the new vent, which is equal to the radius times the sine of the angle between the line and due south. The adjacent side is the east-west component of the line, which is equal to the radius times the cosine of the angle.
Using trigonometric functions, we can calculate:
Opposite side = 4 km x sin(135°) = 4 km x (-√2/2) = -2√2 km (southward direction)
Adjacent side = 4 km x cos(135°) = 4 km x (-√2/2) = -2√2 km (westward direction)
Therefore, the new vent is located 2√2 km south and 2√2 km west of the volcano's crater. Its position relative to the crater can be described as "southwest by south."
You deposit $5000 in an account earning 5% interest compounded continuously. How much will you have in the account in 5 years? Round to the nearest cent.
Someone please help me answer this question
The two statements that are both true are as follows: line
AC is perpendicular to line HB and line AC is parallel to FG. That is option A.
What is a perpendicular line?A perpendicular line is defined as the line that forms angle 90° where it meets with another line in a plane.
A line is said to be parallel to each other when they do not intercept as they are both on the same plane.
From the given diagram, line AC is perpendicular to line HB because they form angle 90° at the point of intersection.
Also, line AC is parallel to FG, because they can never intersect till infinity.
Learn more about parallel lines here:
https://brainly.com/question/24607467
#SPJ1
PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!
Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No
Given g(x) = 8x2 − x + 2, find the following.
1) g(0)
2) g(−1)
3) g(r)
4) g(x + h)
Answer:
Step-by-step explanation:
Given g(x) = 8x2 − x + 5, find the following.
(a). g(0) = 5
(b). g(−1) = 14
(c). g(r) = ?
(d). g(x + h) = ?
I need a satisfying conditions question answered thank you sm
The linear function can be written as:
f(x) = -x/3 + 17/3
How to find the linear function?A general linear function can be written as:
f(x) = ax + b
Where a is the slope, and b is the y-intercept.
If we know two points on the line (x₁, y₁) and (x₂, y₂), then the slope of the linear function is:
a= (y₂ - y₁)/(x₂ - x₁)
Here we know the pairs:
f(-4) = 7
f(5) = 4
So we have the points (-4, 7) and (5, 4), then the slope is:
a = (4 - 7)/(5 + 4) = -3/9 = -1/3
Then we can write:
f(x) = -x/3 + b
now we can use one of the given points, like f(5) = 4, replacing that there we will get:
4 = -5/3 + b
4 + 5/3 = b
12/3 + 5/3 = b
17/3 = b
So the function is:
f(x) = -x/3 + 17/3
Learn more about linear functions at:
https://brainly.com/question/4025726
#SPJ1
At Spirit Night slices of pizza cost $2 and pretzels cost $1. The school store sold 150 items and made a total of $250. Write a systems of
equations to represent the situation where x represents the number of slices of pizza sold and y represnts the number o pretzels
Answer:
[tex]x + y = 150[/tex]
[tex]2x + y = 250[/tex]
please help, thank you!
Answer:
To find all values of x for which f(x) = 26, we can set up the equation:
8x + 15/x = 26
Multiplying both sides by x, we get:
8x^2 + 15 = 26x
Bringing all the terms to one side, we get:
8x^2 - 26x + 15 = 0
We can factor this quadratic equation using the factoring method or by using the quadratic formula. Here, we will use the factoring method:
8x^2 - 26x + 15 = 0
(4x - 3)(2x - 5) = 0
Setting each factor equal to zero and solving for x, we get:
4x - 3 = 0 OR 2x - 5 = 0
4x = 3 OR 2x = 5
x = 3/4 OR x = 5/2
Therefore, the values of x for which f(x) = 26 are x = 3/4 or x = 5/2.
One year, the population of a city was 137,000. Several years later it was 117,820. Find the percent decrease.
Group of answer choices
14%
15%
16%
19%
Answer:
The percent decrease in population can be calculated by dividing the difference between the two populations by the original population and then multiplying by 100. In this case, the percent decrease is ((137000-117820)/137000)*100 = 14%.
Step-by-step explanation:
3. There are 15 students in class 7 who need the school shirt of same size and 2 meter of
cloth is required to make a shirt.
(a) Find the total length of the cloth required to make the shirt to them.
(b) How many shirts can be made from a piece of cloth 9 meter long?
Convert the length of cloth required for a shirt in decimal.
1
If the length of a piece of cloth is 36.25 meter, how many meters of cloth is left? 1
Answer:
Step-by-step explanation:
(a) Since each student needs a shirt of the same size, and 2 meters of cloth is required to make one shirt, the total length of cloth required to make shirts for 15 students would be:
Total length of cloth = 15 x 2 = 30 meters
Therefore, 30 meters of cloth would be required to make shirts for 15 students.
(b) If 2 meters of cloth are required to make one shirt, then the number of shirts that can be made from 9 meters of cloth would be:
Number of shirts = 9 / 2 = 4.5 shirts
However, since we cannot make half a shirt, the actual number of shirts that can be made from 9 meters of cloth would be 4 shirts.
To convert the length of cloth required for a shirt into decimal form, we can simply divide the length in centimeters by 100. Therefore, 2 meters of cloth would be equivalent to 200 centimeters, which is 2.00 meters in decimal form.
(c) If the length of a piece of cloth is 36.25 meters, and we use 30 meters to make shirts for 15 students, then the remaining length of cloth would be:
Remaining length of cloth = 36.25 - 30 = 6.25 meters
Therefore, 6.25 meters of cloth would be left.
T
A
D
√
5
B
C
Ĉ
X
Figure ABCD is a square. The side lengths are all 1.
Estimate the length of the diagonal.
Submit
Therefore, the estimated length of the diagonal is approximately 1.414 units.
What is square root?The square root of a number is a value that, when multiplied by itself, gives the original number. In other words, the square root of a number "x" is a value "y" such that y multiplied by y equals x. The symbol for square root is √.
For example, the square root of 25 is 5, because 5 multiplied by 5 equals 25. Similarly, the square root of 64 is 8, because 8 multiplied by 8 equals 64. The square root of a negative number is not a real number, as there is no real number that, when squared, equals a negative number.
Using the Pythagorean theorem, we can find the length of the diagonal of the square.
If we draw a diagonal from one corner of the square to the opposite corner, we create a right triangle. The two legs of the right triangle are the sides of the square, which have a length of 1. The hypotenuse, which is the diagonal of the square, is the side we are trying to find.
Using the Pythagorean theorem, we can write:
[tex]d^2 = 1^2 + 1^2[/tex]
where d is the length of the diagonal.
Simplifying, we get:
[tex]d^2 = 2[/tex]
Taking the square root of both sides, we get:
d ≈ 1.414
To know more about right triangle, visit
https://brainly.com/question/15490304
#SPJ1
What is the length of triangle
Answer:
in a right triangle, the square of the length of the hypotenuse (the side across from the right angle) is equal to the sum of the squares of the other two sides. So if the length of the hypotenuse is c and the lengths of the other two sides are a and b, then c^2 = a^2 + b^2.Apr 24, 2017
Reflect on why you think guitar tabs are easier or harder to read than regular musical notation.
This will have to be in paragraph form. :)
Guitar tabs are generally considered easier to read than regular musical notation because they are written in a language that most guitarists are familiar with.
What is Guitar?Guitar is a stringed musical instrument played with the fingers or a pick. It is one of the most popular instruments in the world and is widely used in genres such as rock, jazz, blues, country, folk, and classical.
Unlike traditional notation, guitar tabs do not require any knowledge of music theory to understand. Instead, they are laid out in a straightforward format that conveys the pitch of a note and the timing of when it should be played. This makes it easier for most guitarists to quickly learn a new piece of music without having to spend time studying the complexities of traditional notation. Additionally, guitar tabs also offer an easy way to determine the fingering of certain chords or techniques.
While guitar tabs are easier to read than traditional notation, they do have some drawbacks. For one, guitar tabs cannot convey the same level of detail about a piece of music as traditional notation can. Additionally, it can be difficult for some to distinguish between rhythm and lead parts when reading guitar tabs. Finally, guitar tabs do not easily convey the dynamics or expression of a piece of music, which are important to consider when playing music.
To learn more about Guitar
https://brainly.com/question/31185326
#SPJ1
What is the likelihood
that all 21 students in a class share the same birthday? Explain.
Quick please!
Answer:
it is not likey bc inless the class have over 2 mil ppl in it itis doouptfull
Step-by-step explanation:
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The correct option is 1 and 4 of the given inequality –3(2x – 5) < 5(2 – x)
The correct representations of the inequality –3(2x – 5) < 5(2 – x) are:
-6x + 15 < 10 – 5x
x < 5
Therefore, options 1 and 4 are correct. The other options do not correctly represent the inequality.
To Know more about inequality visit :
https://brainly.com/question/31278109
#SPJ9
75909931 rounded to the nearest hundred thousand
Answer:
the answer is supposably 75900000
Cuántos meses son 44 semanas
Answer:
alrededor de 10 meses
Step-by-step explanation:
What is the area of the real object that the scale drawing models? Scale factor. 1:5 Area = 10 square cm Scale drawing Real object
Answer:
D. 50 square centimeters
what is the solution to this
Answer:
-2
Step-by-step explanation:
Is ∆PQR a right triangle? Explain
Answer:
Yes, ∆PQR is a right triangle.
Step-by-step explanation:
A right triangle has one right angle, which is 90°. This triangle has one right angle, so it is a right triangle.
The ratio of the birth weight to the adult weight of a male black bear is 3:1000. The average birth weight is 12 ounces. Find the average adult weight. Your answer is probably in ounces. If there are 16 ounces in 1 pound, how many pounds does the adult bear weigh?
In response to the stated question, we may state that As a result, an expressions adult black bear weighs 250 pounds.
what is expression ?An expression in mathematics is a collection of numbers, variables, and mathematical (such as addition, reduction, multiplication, division, exponentiation, etc.) that express a quantity or value. Expressions might be as basic as "3 + 4" or as complicated as "(3x2 - 2) / (x + 1)". They may also contain functions like "sin(x)" or "log(y)". Expressions can also be evaluated by substituting values for the variables and performing the mathematical operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.
Let B represent the birth weight of a male black bear and A represent the mature weight. The ratio of B to A is supplied to us as 3:1000. As a result, we may write:
B/A = 3/1000
The average birth weight (B) is also reported as 12 ounces. We may use these data to get the average adult weight (A):
[tex]B/A = 3/1000\\12/A = 3/1000\\A = 12/(3/1000)\\A = 4000[/tex]
A male black bear's typical mature weight is 4000 ounces.
To convert ounces to pounds, divide by 16 (since one pound contains 16 ounces):
[tex]4000/16 = 250[/tex]
As a result, an adult black bear weighs 250 pounds.
To know more about expressions visit :-
https://brainly.com/question/14083225
If you place a 26-foot ladder against the top of a building and the bottom of the ladder is 20 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot. help please now.
Answer: The building is approximately 16.6 feet tall.
Step-by-step explanation:
Use Pythagorean theorem (a²+b²=c²) to solve this.
We know that the ladder is 26 feet long so that would be our hypotenuse (c²). and the distance between the ladder and the building is 20 feet. So, this is the base. The remaining side is x.
Your equation would be: 20²+x²=26²
subtract 20² from 26² --> 276=x²
then take the square root --> 16.6=x
Each year, the school has a goal to have a third as many students in remedial mathematics courses as the year before. Currently the school has 1,200 students in remedial math. Approximately how many students will be enrolled in four years?
(a) 44 (b)15 (c) 32,400 (d) 1
Answer:
44 students
Step-by-step explanation:
1200 for the first year
a third of that is 400
400 for the second year
a third of that is 133.4
133.4 for the third year
a third of that is 44
I need help on this
Answer:
first name is pentagon
second is decagon
third is heptagon
Step-by-step explanation:
first is irregular
second is regular
third is irregular
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The notation Σ-2 (3η + 5) is incorrect for representing the arithmetic series 8 + 11+ ... + 29.
The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:
Σ_{i=1}^{11} (6i + 2)
The series has 11 terms, and each term can be found by adding 3 to the previous term, starting with the first term 8. Therefore, the general form of the series is 6i + 2, where i represents the index of the term in the series.
In contrast, the notation Σ-2 (3η + 5) appears to have multiple errors. The use of a negative index (-2) is not valid, as the index should start from 1 or 0. Also, the use of the Greek letter eta (η) instead of i as the index variable is unconventional and likely to cause confusion. Finally, the expression inside the parentheses does not appear to correspond to the terms of the arithmetic series.
The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:
Σ_{i=1}^{11} (6i + 2)
To explain the error in the given notation Σ-2 (3η + 5), we can break it down as follows:
The use of a negative index (-2) is incorrect. The index of summation should always be a non-negative integer.
The use of the Greek letter eta (η) instead of i as the index variable is unconventional and may cause confusion or errors.
The expression inside the parentheses, 3η + 5, does not represent the terms of the arithmetic series. In particular, it does not involve the index variable i or the common difference 3.
Therefore, the correct notation for the given arithmetic series is Σ_{i=1}^{11} (6i + 2).