Answer:
1 63636363 /1000000000
Step-by-step explanation:
Since it is 1. ..., it would be a mixed number with the 1 out front. There are 9 numbers after the decimal, making the denominator one billion, and then take the actual numbers (63) and make them the numerator.
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
2 QUESTIONS
Answer:
3/13
Step-by-step explanation:
Answer:
Your answer is 3/13
Step-by-step explanation:
hope it will help youTriangle ABC is graphed in the coordinate plane.• Point C is located at (4, 5).• The distance between A and B is 4 units.• The distance between B and Cis 3 units.Select the correct graph of AABC.
Point C is located at (4,5)
It means
x= 4
y= 5
The only graph that has Point C at (4,5) is graph C.
Graph A, B, and D have point C on (5,5) , (5,4), and (4,-2)
Graph C also has the distance between A and B equal to 4 units, and the distance between B and C equal to 3 units.
Answer: C
g suppose a small library has five book shelves labeled a-e. in how many different ways can 30 books be placed on these shelves if the books are all different
There are 150 different ways can 30 books be placed on these shelves if the books are all different.
The number of shelves on a bookshelf is 5.
The number of books on one shelf is 30.
The number of books on 5 shelves= The number of books on one shelf *The number of shelves.
which implies that, the total number of books =30*5
By multiplying 30 by 5 we get 150
total number of books =150.
hence, bookshelves have 150 books if books are placed differently.
To learn more about the arrangments of books on shelves, click on brainly.com/question/23160291.
#SPJ4
List three values for x that would make 5x < -20 true.
Answer:
1. -5
2. -6
3. -10
Step-by-step explanation:
There are x = - 6, -7, and - 8 three values for variable x that would make 5x < -20 true.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We have been given that the inequality is below as
⇒ 5x < -20 ...(i)
⇒ 5x / 5 < -20 / 5
⇒ x < - 4
Thus, all the negative values which are less than -4 for x would make it true.
For example, we take x = -8
Substitute the value of x = -8 in the inequality (i),
⇒ 5(-8) < -20
⇒ - 40 < -20
This is true.
Similarly x = - 6, and - 7 also for x would make it true.
Hence, there are x = - 6, -7, and - 8 three values for variable x that would make 5x < -20 true.
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ2
f(x) = 3x - 2
g(x) = x + 3
Find (f.g)(x).
O 3x^3+ 7x^2 - 6x
-
O 3x^2 + 11x – 6
O 3x^2 + 7x – 6
O3х^2 – 6
Answer:
the third option
Step-by-step explanation:
it is simple :
for the sum of 2 functions we need to sum the functional expressions.
for the product of 2 functions we need to multiply the functional expressions.
...
so,
(f.p)(x) = (3x - 2)(x + 3)
remember, when we multiply 2 expressions, then we have to multiply every term of one expression with every term of the other expression and sum up all the individual results (while considering the right signs, of course).
(3x - 2)(x + 3) = 3x² + 9x - 2x - 6 = 3x² + 7x - 6
Bonnie has 4 sharpened and 8 unsharpened pencils in her pencil case. she randomly selects 2 of the pencils from the box without replacement. what is the probability that both pencils will be sharpened?
Answer:
1/11
Step-by-step explanation:
Given:
Bonnie has 4 sharpened and 8 unsharpened pencils in her pencil case. she randomly selects 2 of the pencils from the box without replacement.
Question to Answer:
what is the probability that both pencils will be sharpened?
Solve:
Probability is possibility of an event being equal to the ratio of the number of outcomes and the total number of outcomes.
Thus we known that,
Bonnie has 4 sharpened and 8 unsharpened pencils.
Hence, the total numbers of pencils is 12.
Let, the probability first one is sharpened be P(E₁) and probability second one is sharpened be P(E₂)
Simplify - P(E₁) = 4/12 = 1/3 and P(E₂) = 3/11
Therefore we have;
P(E) = P(E₁)×P(E₂)
P(E) = 1/3 × 3/11
P(E) = 3/33
P(E) = 1/11
As a result, the probability is 1/11 that both pencils will be sharpened.
Kavinsky
Mr. Johnston supports a young tree by using a stake and a string forming a right angle with the ground. View the di
33 in.
60 in.
What is the length of the string? Round to the nearest tenth.
Enter the correct answer in the box.
Please help I am sooo confused!!!! Asapppp!!!
Answer: Hey! The answer is 68.48 (rounded)
Step-by-step explanation:
Question 1: American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 440000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability? Select one: a. No, because the population distribution is skewed. b. No, because the sample size is less than 30. c. No, because the empirical rule is violated. d. Yes. Clear my choice Question 2: Regardless of your answer to the previous question, calculate this probability using a normal distribution. Report your answer to four decimal places. Question 3: Calculate the probability of observing an average American ladybug length between 0.95 cm and 1.05 cm for a random sample of 20 ladybugs. Give your answer accurate to four decimal places. If you found assumptions to be violated in the previous question, answer this question as if the assumptions had not been violated.
Yes, it is appropriate to compute the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm.
What is meant by standard normal distribution?With a mean of 0 and a standard deviation of 1, the standard normal distribution is a normal distribution. The standard deviation, which indicates how much a given measurement deviates from the mean, is given by the standard normal distribution, which has zero as its center.
As the sample size is sufficient (440000) and the standard deviation is known, it is appropriate to use a normal distribution to estimate the distribution of ladybug lengths. A 1.5 cm long ladybug's z-score can be calculated as follows:
z = (1.5 - 1) / 0.2 = 2.5
We can calculate the likelihood of a z-score being greater than 2.5 using a conventional normal distribution table to be roughly 0.0062. Hence, the likelihood that a random ladybug in Raleigh will be larger than 1.5 cm is around 0.0062 or 0.62%.
Therefore, the correct answer is option d. Yes. Clear my choice.
The complete question is;
American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 440000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability? Select one:
a. No, because the population distribution is skewed.
b. No, because the sample size is less than 30.
c. No, because the empirical rule is violated.
d. Yes. Clear my choice
To learn more about standard normal distribution refer to:
https://brainly.com/question/13781953
#SPJ1
What expression in terms of n can be used to represent AD in rhombus ABCD?
A. (2n+5)2+(4n−3)2
B. 2(2n+5)+2(4n−3)
C. (2n+5)+(4n−3)
D. (2n+5)2+(4n−3
The rhombus' diagonals form a right angle cut across one another. The expression that can be used to symbolize AD in a rhombus ABCD is,
AD = \(\frac{1}{2} \sqrt{(2n+5)^{2} + (4n-3)^{2} }\)
What is property of diagonals of rhombus?
The diagonals of the rhombus bisect each other at right angle.
Given,
The length of the one diagonal of the rhombus is,
AC = (2n+5)
The length of the another diagonal of the rhombus is,
BD = (4n−3)
Let the center point of the rhombus is O as shown in the figure.
In ΔAOD the ∠AOD is the right angle triangle. Thus by the Pythagoras theorem,
AD² =AO² + DO²
Suppose the above equation as equation number 1.
As the diagonals of the rhombus bisect each other thus,
AO = 1/2 AC
DO = 1/2 BD
Put the values in equation 1,
AD² = ( 1/2AC)² + (1/2BD)²
Put the values,
AD² = [\(\frac{1}{2}(2n+5)\)]² + [\(\frac{1}{2}(4n-3)\)]²
AD²= [1/4 (2n+5)²+(4n−3)²]
AD² = √1/4 [ (2n+5)²+(4n−3)²]
AD²= 1/2√[ (2n+5)²+(4n−3)²]
Hence the expression in terms of can be used to represent AD in rhombus ABCD is,
AD²= 1/2√[ (2n+5)²+(4n−3)²]
To learn more about Rhombus visit:
brainly.com/question/27870968
#SPJ4
which of the following graphs show the most reliable results, meaning that students performed similarly both times they took it? note that the x-axis shows the original text scores, and the y-axis shows the re-test scores).
The graph that shows the most reliable results is given as follows:
Option C.
What is a correlation coefficient?The correlation coefficient between two variables is an index that measures correlation between these variables, assuming values between -1 and 1.
If it is positive, the relation is direct proportional, and if it is negative, they are inverse proportional.
If the absolute value of the correlation coefficient is greater than 0.6, the relationship between the two variables is strong.
From this description, we get that the most accurate graph is the one with the higher correlation coefficient, hence Option C is correct.
Missing InformationThis problem gives two options, as follows:
Option B: Graph with correlation coefficient of r = 0.Option C: Graph with correlation coefficient of r = 0.87.More can be learned about correlation coefficients at https://brainly.com/question/16355498
#SPJ1
Which of the following factors of production is unlikely to be found in a
command economy?
A. Entrepreneurship
B. Land
C. Capital
D. Labor
Option (A) is correct
What are factors of production?
" Factors of production are resources that are the building blocks of the economy; they are what people use to produce goods and services. Economists divide the factors of production into four categories: land, labor, capital, and entrepreneurship."
What are some examples of entrepreneurship as a factor of production?
An entrepreneur is a person who combines the other factors of production - land, labor, and capital - to earn a profit. The most successful entrepreneurs are innovators who find new ways to produce goods and services or who develop new goods and services to bring to market. Without the entrepreneur combining land, labor, and capital in new ways, many of the innovations we see around us would not exist. Entrepreneurs are a vital engine of economic growth helping to build some of the largest firms in the world as well as some of the small businesses in your neighborhood. Entrepreneurs thrive in economies where they have the freedom to start businesses and buy resources freely.
So, option (A) is correct
more about factor of production
https://brainly.com/question/988852
#SPJ2
Answer: entrepreneurship
Step-by-step explanation:
just took the quiz
Raj is deciding between two cell phone plans, A and B, which are both linear functions. The monthly charge for plan
A according to the number of minutes used is shown in the table.
Monthly Charge for Plan A
Minutes used, X Monthly charge ($), y
0
14.45
3
14.84
6
15.23
9
15.62
12
16.01
Plan B has the same monthly base charge as plan A, but it charges a different amount per minute used. If the total
monthly charge for plan B is $22.10 when 45 minutes are used, what is the slope of the linear function that
represents the cost of plan B?
Answer:B .17
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Edg
Solve for b.
-7b – 12 = -61
\(\huge\text{Hey there!}\)
\(\mathsf{-7b - 12 = -61}\)
\(\large\textsf{ADD 12 to BOTH SIDES}\)
\(\mathsf{-7b - 12 + 12 = -61 + 12}\)
\(\large\textsf{CANCEL out: -12 + 12 because that gives you 0}\)
\(\large\textsf{KEEP: -61 + 12 because it helps solve for your b-value}\)
\(\mathsf{-61+12=\bf -49}\)
\(\large\text{NEW EQUATION: \textsf{-7b = -49}}\)
\(\large\textsf{DIVIDE -7 to BOTH SIDES}\)
\(\mathsf{\dfrac{-7b}{-7}=\dfrac{-49}{-7}}\)
\(\large\textsf{CANCEL out: }\mathsf{\dfrac{-7}{7}}\large\textsf{ because that gives you 1}\)
\(\large\textsf{KEEP: }\mathsf{\dfrac{-49}{-7}}\large\textsf{ because that gives you your b-value}\)
\(\mathsf{\dfrac{-49}{-7}= \bf b}\)
\(\uparrow\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR ANSWER}\uparrow\)
\(\mathsf{-49\div -7= \bf 7}\)
\(\boxed{\boxed{\large\text{Answer: \huge \bf b = 7}}}\huge\checkmark\)
\(\large\text{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
What is the y-intercept of a line that passes through the points (1,-7) and (5,-15)?
Answer: (0,-5) or just -5
Step-by-step explanation:
gradient = change in y/change in x = (-7+15)/(1-5) = -2
y = -2x + c
-7 = -2 x 1 + c
c = -7 + 2 = -5
y intercept is (0, -5)
You are shopping for single-use cameras to hand out at a party. The daylight cameras cost $2.75 and the flash cameras cost$4.25. You must buy exactly 20 cameras and you want to spend between $65 and$75, inclusive. Write and solve a compound inequality for this situation. Then list all the solutions that involve whole numbers of cameras.
The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.
To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.
To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.
After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:
(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).
These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.
Learn more about compound inequality
brainly.com/question/17957246
#SPJ11
Which value of x would make triangle s u v is-congruent-to triangle t u m by hl? 2 3 4 5
The question is incomplete. Below you will find the missing content and figure
Which value of x would make triangle ΔSUV is congruent to triangle ΔTUM by HL? Options are 2 3 4 5
The figure is shown below.
The correct option is Option D: the value of x is 5.
Triangles are congruent if the triangles are of the same size and shape. If triangles are congruent the corresponding length of the sides is the same.
Here given that triangle ΔSUV is congruent to triangle ΔTUM.
By the property of the congruent triangle, as triangle ΔSUV and ΔTUM are congruent the corresponding sides are also same.
ΔSUV ≅ΔTUM
⇒ VS≅WT
Given in the question
VS= 2x+9
WT= 4x-1
from above it is clear that
VS=WT
⇒ 2x+9=4x-1
⇒4x-2x=9+1
⇒2x=10
⇒x=10/2
⇒x=5
Therefore the correct option is Option D: the value of x is 5.
Learn more about the congruent triangle
here: https://brainly.com/question/1578488
#SPJ10
Answer:
It will be 5 on EDG 2022 Your welcome :)
Step-by-step explanation:
An acre of land has an area of exactly 43,560 square feet. Which of the following is a reasonable estimate for the area of an acre of land?
A.
4 × 10-4 sq ft
B.
4 × 103 sq ft
C.
4 × 10-3 sq ft
D.
4 × 104 sq ft
Because an acre is 10 times the size of a football pitch and is often used area as a unit of measurement for broad regions, answer option (D) is a plausible estimate.
What is area?The size of a surface area can be expressed as an area. The surface area is the area of an open surface or the boundary of a three-dimensional object, whereas the area of a planar region or planar region refers to the area of a shape or flat layer. The area of an object is the entire amount of space occupied by a planar (2-D) surface or shape. Make a square with a pencil on a piece of paper. A two-dimensional character. On paper, the area of a shape is the amount of space it takes up. Assume the square is made up of smaller unit squares.
(D) 4 104 sq ft is the right answer.
Considering that an acre of land has an area of exactly 43,560 square feet, answer selections (A) and (C) are both too tiny, as they are both less than 1% of the size of an acre. Answer option (B) is 100 times the size of an acre and hence far too huge.
Because an acre is 10 times the size of a football pitch and is often used as a unit of measurement for broad regions, answer option (D) is a plausible estimate.
To know more about area visit:
https://brainly.com/question/13194650
#SPJ1
Consider the data table above. ____ person(s) enjoy their tea with at least two spoonfuls of honey
Answer:
Only one person....Harry.
Answer: 1 person
Step-by-step explanation: Only two people enjoy honey in their tea: Jane and Harry. However, Jane only likes 1 spoonful of honey, whereas harry enjoys 2. Therefore, 1 person enjoys their tea with at least 2 spoonful's of honey.
5 to the power of 2x=20
The approximate value of x in the equation 5 to the power of 2x=20 is 0.93
Calculating the value of xFrom the question, we have the following parameters that can be used in our computation:
5 to the power of 2x=20
As an expression, we have
5^(2x) = 20
Take the natural logarithm of both sides
so, we have the following representation
2x = ln(20)/ln(5)
Evaluate the quotients
This gives
2x = 1.86
So, we have
x = 0.93
Hence, the value of x is 0.93
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
Write a quadratic function h whose zeros are 7 and -5.
Answer:
h = x² - 2x - 35
Step-by-step explanation:
Making the factors :
It mentions the zeros are 7 and -5.
Then, the factors are :
⇒ (x - 7)
⇒ (x + 5)
===========================================================
The quadratic function will be :
⇒ h = (x - 7)(x + 5)
⇒ h = x² - 2x - 35
Cindy went to the salon to get highlights and a haircut. Her total cost was $95. Cindy decided to tip her stylist 22% because she loved her hair so much. How much was the tip?
Let A be a matrix 3x2 and ba vector 3x1, solve the system of linear equation by one of the 3 methods you have learned in class by checking first the rank of matrix A and the rank of [A b] 2x +3y = 1 eq (1) -x + 4y = 6 eq (2) eq (3) 5x - 6y = -3
the values of x and y that satisfy the system of equations are x = -14/11 and y = 13/11.
To solve the system of linear equations using one of the three methods (elimination, substitution, or matrix inversion), let's first check the rank of matrix A and [A b].
The matrix A is a 3x2 matrix:
A = [2 3]
[-1 4]
[5 -6]
To find the rank of A, we can perform row operations to reduce the matrix to row-echelon form. The rank of A is equal to the number of non-zero rows in its row-echelon form.
Performing row operations on A, we have:
Row 2 = Row 2 + 0.5 * Row 1
Row 3 = Row 3 - 2.5 * Row 1
The row-echelon form of A is:
A = [2 3]
[0 5]
[0 -21]
Since A has two non-zero rows, the rank of A is 2.
Next, we check the rank of [A b]. The vector b is a 3x1 vector:
b = [1]
[6]
[-3]
We can append vector b as an additional column to matrix A:
[A b] = [2 3 1]
[-1 4 6]
[5 -6 -3]
Performing row operations on [A b], we have:
Row 2 = Row 2 + Row 1
Row 3 = Row 3 - 2 * Row 1
The row-echelon form of [A b] is:
[A b] = [2 3 1]
[0 7 7]
[0 -12 -5]
Since [A b] has two non-zero rows, the rank of [A b] is also 2.
Since the rank of A and [A b] are both 2, we can proceed with solving the system of linear equations using any of the three methods.
Let's use the method of matrix inversion to solve the system.
The system of equations can be written as a matrix equation:
Ax = b
To find x, we can multiply both sides of the equation by the inverse of A:
\(A^(-1) * A * x = A^(-1) * b\)
\(I * x = A^(-1) * b\)
\(x = A^(-1) * b\)
To find the inverse of A, we can use the formula:
\(A^(-1) = (1 / (ad - bc)) * [d -b][-c a]\)
Plugging in the values of matrix A, we have:
\(A^(-1) = (1 / (2 * 4 - 3 * -1)) * [4 -3][1 2]\)
Calculating the inverse of A, we have:
A^(-1) = (1 / 11) * [4 -3]
[1 2]
Multiplying A^(-1) by vector b, we have:
\(x = (1 / 11) * [4 -3] * [1][6][-3]\)
Calculating the product, we get:
x = (1 / 11) * [4 * 1 + -3 * 6]
[1 * 1 + 2 * 6]
Simplifying, we have:
x = (1 / 11) * [-14]
[13]
Therefore, the solution to the system of linear equations is:
x = -14/11
y = 13/11
Hence, the values of x and y that satisfy the system of equations are x = -14/11 and y = 13/11.
To know more about row-echelon form.
https://brainly.com/question/30403280
#SPJ11
how much did the naming rights for the 122 teams in the four major us professional sports leagues earn for those franchises in 2009
In 2009, the naming rights for the 122 teams in the four major US professional sports leagues (NFL, NBA, MLB, and NHL) earned those franchises approximately $3.6 billion.
In 2009, the naming rights deals for the 122 teams across the NFL, NBA, MLB, and NHL generated approximately $3.6 billion for those franchises. These deals allow companies to attach their name to a stadium or arena, which can provide valuable exposure and brand recognition.
The amount earned from these deals can vary widely based on factors such as the popularity of the team and the location of the stadium or arena. Despite fluctuations in the economy and the sports industry, naming rights deals have remained a significant source of revenue for professional sports franchises.
To learn more about franchises; click here:
https://brainly.com/question/3687222
#SPJ11
answer.............
Answer:
1043 correct me if im wrong
Can someone explain how to graph quadratic functions please i'm so confused
To graph a quadratic function, follow the steps explained to obtain the smooth curve of the quadratic function.
What is the graph of a quadratic function?
Graphing quadratic functions involves plotting the points on a coordinate plane that satisfy the equation of the function. Quadratic functions are typically written in the form:
f(x) = ax^2 + bx + c
where;
a, b, and c are constants.To graph a quadratic function, you can follow these steps:
Determine the vertex of the parabola. The vertex is the highest or lowest point on the parabola and is given by the formula:x = -b / 2a
y = f(x)
You can find the x-coordinate of the vertex by using the formula above, and then substitute it into the function to find the corresponding y-coordinate.
Determine the y-intercept of the parabola. The y-intercept is the point where the parabola intersects the y-axis, and it can be found by setting x = 0 in the function and solving for y.Find the x-intercepts of the parabola, if they exist. The x-intercepts are the points where the parabola intersects the x-axis, and they can be found by setting y = 0 in the function and solving for x. If the discriminant (b^2 - 4ac) is negative, then the parabola does not intersect the x-axis.Plot the vertex, y-intercept, and any x-intercepts on a coordinate plane. The vertex is the highest or lowest point on the parabola and is located on the axis of symmetry, which is the vertical line passing through the x-coordinate of the vertex.Draw the parabola by sketching a smooth curve through the points you've plotted. If the coefficient a is positive, the parabola opens upwards and if a is negative, the parabola opens downwards.Learn more about quadratic function here: https://brainly.com/question/1214333
#SPJ1
Dev’ car currently ha 18 gallon of ga in the tank. He ue about 0. 04 gallon for every mile he drive. Dev want to go on a car trip over the weekend and have at leat 2 gallon of ga left in hi tank to get to work on Monday. What i the olution of the inequality that determine how far Dev can travel over the weekend? (Example 2) Let x repreent the number of mile Dev travel
The solution of the inequality that determines how far Dev can travel over the weekend is -
x ≤ 400 miles.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Dave who is planning a car trip for weekend.
Assume that [x] represents the number of miles Dev can travel.
We can write the inequality as -
18 - 0.04x ≤ 2
0.04x ≤ 16
x ≤ 400 miles
Therefore, the solution of the inequality that determines how far Dev can travel over the weekend is -
x ≤ 400 miles.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ1
if a figure can be rotated 360° to be mapped onto itself, is it considered to have rotational symmetry? explain.
Yes, if a figure can be rotated 360° to be mapped onto itself, it is considered to have rotational symmetry.
This is because a 360° rotation means that the figure will return to its original position, making it symmetrical. Rotational symmetry is a type of symmetry where a figure can be rotated about a central point and still look the same. The degree of rotational symmetry depends on the number of times a figure can be rotated to match its original appearance. Therefore, if a figure can be rotated 360° and maintain its original appearance, it is said to have rotational symmetry of degree 1. This is true regardless of the size, orientation, or position of the figure. Yes, a figure that can be rotated 360° to be mapped onto itself is considered to have rotational symmetry. Rotational symmetry occurs when an object can be rotated around a central point and still appear the same as its original position. In the case of a 360° rotation, the figure returns to its initial configuration, confirming its rotational symmetry.
To know more about symmetry visit:
https://brainly.com/question/29044130
#SPJ11
he gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.5, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with standard deviation 0.7. (a) What are the mean and standard deviation of the average number of moths ž in 60 traps? (b) Use the central limit theorem to find the probability that the average number of moths in 60 traps is greater than 0.4.
The probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738 or 97.38%.
(a) To find the mean and standard deviation of the average number of moths in 60 traps, we can use the properties of the normal distribution and the central limit theorem.
The mean of the average number of moths in 60 traps is equal to the mean of the individual moth counts, which is 0.5.
The standard deviation of the average number of moths in 60 traps is equal to the standard deviation of the individual moth counts, divided by the square root of the sample size.
standard deviation = 0.7 / sqrt(60) = 0.0905
the mean and standard deviation of the average number of moths in 60 traps are 0.5 and 0.0905, respectively.
(b) To use the central limit theorem to find the probability that the average number of moths in 60 traps is greater than 0.4, we need to standardize the distribution of sample means using the Z-score formula:
Z = (sample mean - population mean) / (standard deviation / sqrt(sample size))
Substituting the given values, we have:
Z = (0.4 - 0.5) / (0.7 / sqrt(60)) = -1.94
Using a standard normal table or a calculator with a normal distribution function, we can find that the probability of getting a Z-score greater than -1.94 is approximately 0.9738.
The probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738 or 97.38%.
To learn more about probability :
https://brainly.com/question/30034780
#SPJ4
The difference between the solutions of the equation 5x^2 -x-k=0 is 1.8. Find the solutions.
Answer:
0,8
Step-by-step explanation:
Answer:
x=4; x1=1; x2=-0.8
Step-by-step explanation:
I need help ASAP please!!
△GHI ≅ △KLM what is the m∠KLM
Answer:
64°
Step-by-step explanation:
Both triangles represent a right angle by the small box in the angle.
Right angles = 90°
Since the triangles are congruent, then they would have the same measurements in their angles an sides. All triangles also have a sum of 180°. So, we can just subtract (26 + 90) from 180 to get the third angle.
180 - (26 + 90)
180 - 116
64
So, the m∠KLM is 64°.