Answer:
1,5,7 = 145 degrees
2,3,6,8 = 35 degrees
Step-by-step explanation:
1,5, and 7 are interior angles:
Interior angles are those that lie inside a polygon. For example, a triangle has 3 interior angles. The other way to define interior angles is "angles enclosed in the interior region of two parallel lines when intersected by a transversal are known as interior angles".
2,3,6, and 8 are exterior angles:
An Exterior Angle is the angle formed by one side of a polygon and the extension of the adjacent side. In all polygons, there are two sets of exterior angles, one that goes around clockwise and the other goes around counterclockwise.
Hope this helps :))
Question
A local event planner wants to cover a circular region with mud for an obstacle course. The region has a circumference of about 157 feet. The cost to cover 1 square foot with mud is $1.50. Approximate the cost to cover the region with mud. Round to the nearest ten dollars if necessary.
The cost to cover the cirular region with mud is about $2940
How to calculate area?
The circumference of the circular region is about 157 feet. Hence:
circumference = 2π * radius
157 = 2π * radius
Radius = 78.5 / π
The area is given as:
Area = π * radius² = π(78.5 / π)² = 1961.5 ft²
Cost = $1.5 * 1961.5 = $2940
The cost to cover the cirular region with mud is about $2940
Find out more on area at: https://brainly.com/question/25292087
Giving brainlist to whoever answers
What is the world record for digits of pi memorized?.
The world record for memorizing and reciting the most digits of pi is held by Rajveer Meena from India. He recited 50,000 decimal places of pi in 2020, which is the current recognized world record.
Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. The decimal representation of pi is non-repeating and goes on indefinitely without a pattern. The value of pi is approximately 3.14159, but it is commonly approximated as 3.14 for simplicity in mathematical calculations. However, the exact value of pi has been calculated to trillions of digits using various computational methods. The quest to calculate more digits of pi continues to this day, and the computation of pi serves as a benchmark for testing the performance of supercomputers and computational algorithms. The current record for calculating the most digits of pi is trillions of digits, achieved through the use of powerful computers and advanced algorithms.
learn more about pi here:
https://brainly.com/question/31502190
#SPJ11
ow many groups of
1
5
5
1
start fraction, 1, divided by, 5, end fraction are in
4
44?
By the calculations below, there are 20 groups of 1/5 in 4.
Division of Fractions: Finding GroupsTo find out how many groups of 1/5 are in 4, we can use the concept of division of fractions.
Recall that dividing by a fraction is the same as multiplying by its reciprocal. So, we can rewrite the problem as:
4 ÷ 1/5
To find the reciprocal of 1/5, we flip the fraction:
1/5 → 5/1
Now, we can rewrite the division problem as multiplication:
4 ÷ 1/5 = 4 × 5/1
Multiplying across gives:
4 × 5/1 = 20
Therefore, there are 20 groups of 1/5 in 4.
Read more about fractions at
https://brainly.com/question/1330447
#SPJ1
A city council consists of five Democrats and six Republicans. If a committee of six people is selected then find the probability of selecting four Democrats and two Republicans. The probability of selecting a six-person committee with four Democrats and two Republicans is
The probability of selecting a six-person committee as per given condition is equal to 0.1623 or 16.23%.
To calculate the probability of selecting four Democrats
And two Republicans in a six-person committee from a city council consisting of five Democrats and six Republicans,
Use the concept of combinations.
The total number of ways to form a committee of six people from a council of eleven five Democrats and six Republicans is
Using combination formula,
C(n, k) = n! / (k! × (n - k)!)
where n is the total number of items and k is the number of items chosen.
Here, select four Democrats and two Republicans,
Number of ways to choose four Democrats from five
C(5, 4)
= 5! / (4! × (5 - 4)!)
= 5
Number of ways to choose two Republicans from six,
C(6, 2)
= 6! / (2! × (6 - 2)!)
= 15
To find the total number of ways to form the committee with four Democrats and two Republicans, multiply the two results,
Total number of ways
= C(5, 4) × C(6, 2)
= 5× 15
= 75
The total number of ways to form a committee of six people from the city council is,
Total number of ways
= C(11, 6)
= 11! / (6! × (11 - 6)!)
= 462
Finally, calculate the probability by dividing the favorable outcomes (75) by the total number of outcomes (462),
Probability
= 75 / 462
≈ 0.1623
Therefore, the probability of selecting a six-person committee with four Democrats and two Republicans is approximately 0.1623 or 16.23%.
learn more about probability here
brainly.com/question/29088714
#SPJ4
is a statistical approach to determine the __________ of the log-log representation of the learning curve.
A statistical approach to determine the exponent of the log-log representation of the learning curve is known as linear regression.
Linear regression is a statistical method used to model the relationship between two variables by fitting a linear equation to the observed data. In the context of the learning curve, the log-log representation is commonly used to analyze the relationship between the number of units produced (x-axis) and the corresponding time or cost (y-axis) on a logarithmic scale.
To determine the exponent of the log-log representation, you can follow these steps:
1. Collect data: Gather data on the number of units produced and the corresponding time or cost for each unit. Ensure that you have a sufficiently large sample size to make reliable inferences.
2. Transform the data: Take the logarithm (base 10 or natural logarithm) of both the x and y values to obtain the log-log representation. This transformation helps in linearizing the relationship between the variables.
3. Perform linear regression: Fit a linear regression model to the transformed data. The slope of the regression line represents the exponent of the log-log representation. It indicates how the y-variable changes with a one-unit increase in the x-variable on a logarithmic scale.
4. Interpret the results: The coefficient of the x-variable in the linear regression model corresponds to the exponent of the log-log representation. It provides insights into the rate of improvement or learning as the number of units produced increases.
By applying linear regression to the log-log representation of the learning curve, you can estimate the exponent and gain a better understanding of the learning process.
To know more about linear regression, refer here:
https://brainly.com/question/32505018#
#SPJ11
Name two examples of quadrilaterals,
Answer:
square and rectangle
Step-by-step explanation:
Answer:
Squares, Trapezoids, Rhombuses, Kites, Parellelograms, or Rectangles
Step-by-step explanation:
"Quad" means that there is 4 sides on something, and all of these shapes have 4 sides, so obviously, that means they are quadrilaterals.
An investment of $36,000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investments was $2820 The interest from the first investment was 3 times the interest from the second. Find the amounts of the three parts of the investment. The First part of the investment was $______
Given:
The total investment = $36000.
The interest rate of the first investment = 8%.
The interest rate of the second investment = 6%.
The interest rate of the third investment = 9%.
The total interest = $ 2820.
The interest from the first investment was 3 times the interest from the second.
Required:
We need to find the amounts of the three parts of the investment.
Explanation:
Let x, y, and z be the amounts of the three parts of the investment.
The total investment = $36000.
\(x+y+z=36000\)The total interest = $ 2820.
\(8\text{\% of x +6 \% of y + 9 \% of z = 2820}\)\(\frac{8}{100}x+\frac{6}{100}y+\frac{9}{100}z=2820\)\(0.08x+0.06y+0.09z=2820\)The interest from the first investment was 3 times the interest from the second.
\(0.08x=3\times0.06y\)\(0.08x=0.18y\)Divide both sides by 0.08.
\(\frac{0.08x}{0.08}=\frac{0.18y}{0.08}\)\(x=2.25y\)\(Substitute\text{ x=2.25y in the equation }0.08x+0.06y+0.09z=2820.\)\(0.08(2.25y)+0.06y+0.09z=2820\)\(0.18y+0.06y+0.09z=2820\)\(0.24y+0.09z=2820\)\(0.09z=2820-0.24y\)Divide both sides by 0.09.
\(\frac{0.09z}{0.09}=\frac{2820}{0.09}-\frac{0.24y}{0.09}\)\(z=31333.33-2.67y\)\(Substitute\text{ x =2.25y and z=31333.33y-2.67y in the equation }x+y+z=36000.\)\(2.25y+y+31333.33-2.67y=36000\)\(2.25y+y-2.67y=36000-31333.33\)\(0.58y=4666.67\)Divide both sides by 0.58.
\(\frac{0.58y}{0.58}=\frac{4666.67}{0.58}\)\(y=8045.98\)\(Substitute\text{ y =8045.98 in the equation }x=2.25y.\)\(x=2.25\times8045.98\)\(x=18103.46\)\(Substitute\text{ }x=18103.46\text{, and y =8045.98 in the equation x+y+z=36000.}\)\(18103.46+8045.98+z=36000\)\(26149.44+z=36000\)\(z=36000-26149.44\)\(z=9850.56\)Final answer:
The first part of the investment was $ 18103.46.
The second part of the investment was $ 8045.98.
The third part of the investment was $ 9850.56
-3 + x = what is x?
A) 3
B) -3
Answer:
x is 6 for A and 0 for B
Step-by-step explanation:
Michael’s child is going to college in 13 years. If he saves $ 7,000 a year at 9%
compounded annually. How much will be available for Peter’s child education?
Michael’s child is going to college in 13 years. If he saves $ 7,000 a year at 9% compounded annually. Therefore, the amount available for Peter's child education will be $147,330.55.
Given that Michael is saving $7,000 per year for his child's education which will occur in 13 years. If the interest rate is 9% compounded annually,
The problem of finding the amount of money Michael will have saved in 13 years is a compound interest problem.
In this case, the formula for calculating the future value of the annuity is: $FV = A[(1 + r)n - 1] / r
where: FV is the future value of the annuity, A is the annual payment,r is the annual interest rate, and n is the number of payments.
Using the above formula; the future value of Michael's savings is:
FV = 7000[(1 + 0.09)^13 - 1] / 0.09= 7000(1.09^13 - 1) / 0.09= 147,330.55
Therefore, the amount available for Peter's child education will be $147,330.55.
Learn more about interest rate here:
https://brainly.com/question/27743950
#SPJ11
Which of the given pairs of expressions are equivalent? Select all that apply.
Answer:
sorry I don't know about this Question
Problema de Matematicas En una fábrica de papel se han elaborado, 238 942 rollos de papel higiénico, 763 924 rollos de papel toalla y 73 947 rollos de servilletas, del total de rollos se vendieron 875 394 rollos la cantidad de rollos que faltan por vender son.
Answer:
Se faltan por vender 201,419 rollos.
Step-by-step explanation:
Total de rollos:
238 942 rollos de papel higiénico
763 924 rollos de papel toalla
73 947 rollos de servilletas
Entonces:
\(T = 238942+763924+73947 = 1076813\)
Se vendieron 875 394 rollos la cantidad de rollos que faltan por vender son?
Total subtraído por la cuantidad vendida. Entonces:
\(V = 1076813 - 875394 = 201419\)
Se faltan por vender 201,419 rollos.
What is the measure of angle onp? 50° 65° 80° 130°
Answer:
80
Step-by-step explanation:
edge 2023
A continuous random variable X has the probability density function (pdf):
fx (x) = {x^2 + 4/3 x if 0 < x < 1
0 otherwise.
(A) Find the cumulative distribution function Fx(t) of X and answer the following questions according to the CDF you obtained. Round your answers to three decimal places.
Fx(-3)=
Fx(0. 6) = Fx(2. 5)= (B) Find the expected value of X. Round your answers to three decimal places or keep it as a simple fraction.
E(X) =
(C) Find P(X > 0. 3 X < 0. 6). Hint: use the definition of conditional probability. Round your answers to three decimal places.
P(X > 0. 3 | X < 0. 6):
Fix(2.5) is equal to 1. The expected value of X (E(X)) is equal to 13/36. P(X > 0.3 and X < 0.6) is equal to 0.432.
A continuous random variable X has a probability density function (pdf) given by:
fix (x) = {x² + 4/3 x if 0 < x < 1
0 otherwise. Let's solve the questions step-by-step: To find the cumulative distribution function (CDF) Fix(t) of X, we integrate the pdf from 0 to t. To find Fix(-3), we integrate the pdf from 0 to -3, which is not possible since -3 is outside the valid range of x (0 < x < 1). Therefore, Fix(-3) does not exist. To find Fix(0.6), we integrate the pdf from 0 to 0.6:
∫(0 to 0.6) (x² + 4/3 x) dx = [1/3 x³ + 2/3 x²] (0 to 0.6)
= (1/3 × 0.6³ + 2/3 × 0.6²)
= 0.432.
Therefore, Fix(0.6) is equal to 0.432. To find Fix(2.5), we integrate the pdf from 0 to 1 (since the valid range of x is 0 < x < 1):
∫(0 to 1) (x² + 4/3 x) dx = [1/3 x³ + 2/3 x²] (0 to 1)
(1/3 × 1³ + 2/3 × 1²) = 1.
Therefore, Fix(2.5) is equal to 1. To find the expected value of X (E(X)), we need to integrate x times the pdf from 0 to 1:
E(X) = ∫(0 to 1) x × (x² + 4/3 x) dx.
Simplifying the integral:
E(X) = ∫(0 to 1) (x³ + 4/3 xv) dx
= [1/4 x⁴ + 4/9 x³] (0 to 1)
= (1/4 × 1³ + 4/9 × 1³)
= 13/36.
Therefore, the expected value of X (E(X)) is equal to 13/36. To find P(X > 0.3 and X < 0.6), we need to use the definition of conditional probability:
P(X > 0.3 and X < 0.6) = P(X < 0.6) - P(X < 0.3).
Using the CDF we obtained earlier, we have:
P(X > 0.3 and X < 0.6) = Fix(0.6) - Fix(0.3)
= 0.432 - 0
= 0.432.
Therefore, P(X > 0.3 and X < 0.6) is equal to 0.432.
To learn more about expected value visit:
brainly.com/question/28197299
#SPJ11
Help! Will give brainliest.
Answer:
A. You can see which shape the bases are, how many bases there are, how many faces there are, and how many edges there are.
B. The bases are ABC and DEF, and I know because they are two congruent triangles on two opposite sides of the shape.
gavin and play a game with 20 numbered balls. The 20 balls are numbered from 1 to 20. Write down the probability that the score is a multiple of 3.
Step-by-step explanation:
6/20
3/10 (simplified)
do you want the percentage?
Answer:
\(\frac{3}{10}\)
Step-by-step explanation:
The multiplies of 3 from 1-20 are:
3, 6, 9, 12, 15, 18
Since there are \(20-1+1=20\) numbers from 1-20 inclusive, the probability that a ball is a multiple of 3 is \(\frac{6}{20}=\boxed{\frac{3}{10}}\)
please help its urgentt
At a local theater, 2/3 of the seats are located on the main floor. The remaining seats are located in the balcony. There are 600 seats on the main floor.
How many total seats are in the theater?
For an upcoming show, 4/5 of the floor seats have been sold and 1/2 of the balcony seats have been sold. What overall fraction of the seats in the whole theater have been sold?
Overall fraction of sold seats is 0.63333...
How to find the total number of seats in the theaterFirst we use the fact that 2/3 of the seats are located on the main floor and the number of seats on the main floor is 600, so the total number of seats can be calculated as follows:
Total number of seats = 600 / (2/3) = 900 seats
Next, we can find the number of seats in the balcony:
Balcony seats = Total number of seats - Main floor seats = 900 - 600 = 300 seats
Next, we can find the number of sold floor seats:
Sold floor seats = 4/5 * 600 = 480 seats
And the number of sold balcony seats:
Sold balcony seats = 1/2 * 300 = 150 seats
Finally, to find the overall fraction of sold seats in the theater, we add the number of sold floor seats and the number of sold balcony seats and divide by the total number of seats:
Overall fraction of sold seats = (480 + 150) / 900 = 0.63333... (rounded to the nearest hundredth)
Learn more about overall fraction here: brainly.com/question/28699958
#SPJ1
which of the following statements regarding time-series methods is false? group of answer choices a weighted moving average with weights of 0.5 and 0.5 is identical to a simple moving average of two periods. exponential smoothing with an alpha equal to 1.00 is identical to a naive forecast. a naive forecast is identical to a simple moving average of one period. a simple moving average of three periods is identical to exponential smoothing with an alpha equal to 0.33.
Of the following statements regarding time-series methods, the statement that is false is a simple moving average of three periods is identical to exponential smoothing with an alpha equal to 0.33. (Option D)
In mathematics, a time series refers to a series of data points indexed or listed or graphed based on the time order. Generally, a time series is a sequence captured at successive equally spaced points in time and hence is a sequence of discrete-time data. Time-series methods are used in forecasting. It comprises of analytical methods in order to obtain meaningful statistics and other characteristics of the data. Time series forecasting is a model used to predict future values based on previously observed values. From the given options, the time-series methods that is false is is a simple moving average of three periods is identical to exponential smoothing with an alpha equal to 0.33.
Learn more about Time-series methods:
https://brainly.com/question/28481953
#SPJ4
If Rolle's Theorem can be applied, find all values of c in the open interval (a, b). such that f '(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)
f(x) = (x-2)(x-3)(x-6), [2,6]
After multiplying out f(x) I got: x^3 -11x^2 +36x -36
In function f(x) is continuous in [ 2,6] and differentiable in ( 2, 6) by Rolle's theorem .
What is the simple definition of Rolle's theorem?
In accordance with Rolle's Theorem, if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x where a x b.
f(x) = ( x - 2) ( x - 4 ) ( x - 6 ) [ 2,6 ]
= ( x² - 4x -2x + 8 ) ( x - 6 )
= x³ - 6x² - 4x² + 24x - 2x² + 12x + 8x - 48
= x³ - 12x² + 44x - 48
Polynomial functions are continuous and differentiable everywhere ( - ∞ , ∞)
given function is also continuous in [ 2,6] and differentiable in ( 2, 6)
f( a) = f(2) = ( 2- 2 )( 2 - 4 )( 2 - 6 ) = (0 )( - 2)( -4) = 0
f(b ) = f(6) = ( 6 -2 ) ( 6 - 4 )( 6 - 6 ) = (4)(2)(0) = 0
f(a) = f(b)
Learn more about Rolle's theorem
brainly.com/question/13972986
#SPJ4
Three scoops of whey powder contain 45 grams of protein. How many scoops of whey powder contain 135 grams of protein?
Answer:
9 scoops
Step-by-step explanation:
3 scoops = 45g
3/45 scoops = 1g
3/45*135 scoops = 135g = 9 scoops
You want to put a logo on each cell phone holder you make. Sew-on logos cost 2.30 for 10. Stick-on logos cost 9.40 for 100. Divide the cost by the number of logos for both types
Answer:
\(Rate = \$0.23\) and \(Rate = \$0.094\)
Step-by-step explanation:
Given
Sew-on logos
Cost = $2.30
Units = 10
Stick-on logos
Cost = $9.40
Units = 100
Required
Divide cost by units, in both cases
When we divide cost by units, it gives the unit rate.
i.e.
\(Rate = \frac{Cost}{Units}\)
FOR SEW-ON LOGOS
Substitute $2.30 for Cost and 10 for Units
\(Rate = \frac{\$2.30}{10}\)
\(Rate = \$0.23\)
FOR STICK-ON LOGOS
Substitute $9.40 for Cost and 100 for Units
\(Rate = \frac{\$9.40}{100}\)
\(Rate = \$0.094\)
Hence, the solution is
\(Rate = \$0.23\) and \(Rate = \$0.094\)
Y=x+3
3x-3y=9
Solved in substitution
The requried, given system of equations y=x+3 and 3x-3y=9 has no common solution.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
From the first equation, we can solve for y:
y = x + 3
Substitute y = x + 3 into the second equation:
3x - 3(x + 3) = 9
Simplify the right side:
3x - 3x - 9 = 9
-9 = 9 (inconsistent)
Since the equation -9 = 9 is inconsistent, the system of equations has no solution, which means that there are no values of x and y that make both equations true at the same time. It implies the system of equations has no solution.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ1
what is a factor of 8
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
Answer:
x <3
Step-by-step explanation:
–2(5 – 4x) < 6x – 4
Distribute
-10 +8x < 6x-4
Subtract 6x from each side
-10+8x-6x < 6x-6x-4
-10 +2x < -4
Add 10 to each side
-10+2x+10 < -4+10
2x< 6
Divide by 2
2x/2 < 6/2
x <3
A skateboarding ramp is 17 in high and rises at an angle of 19"How long is the base of the ramp ? Round to nearest inch
Answer: 39.3 inches
Step-by-step explanation:
Let x represent the length of base of ramp.
We have been given that a skateboarding ramp is 12 in high and rises at an angle of 17 degrees. We are asked to find the base of the skateboard.
The height of ramp, the base of ramp and angle of elevation make a right triangle with ground, where, 12 inch is opposite side and base of ramp is adjacent side of angle of elevation.
Therefore, the base of ramp is 39.3 inches long.
30 points will give brainliest.
Show step by step how to solve this inequality.
|-4x+1|>3
show step by step how to solve this equation.
|x-2|+4x+4
Answer:
|-4x+1|>3 = \(\:x<-\frac{1}{2}\quad \mathrm{or}\quad \:x>1\)
|x-2|+4x+4 did you right this one correctly? does it have any less than or greater than symbols?
Step-by-step explanation:
i have an explanation use Symbolab if you need one
1. If f(x) = (3x-2)/(2x+3), then f'(x) =
Answer:
\(f'(x)= \frac{13}{(2x+3)^2}\\\)
Step-by-step explanation:
\(f(x)= \frac{3x-2}{2x+3} \\\)
\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)
\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)
john has walked 15% of the way home from school. if he has walked 54 yards so far, how far does he walk home from school
Answer: John walks a total of 360 yards from school.
Step-by-step explanation:
Let's represent the total distance John walks from school as "x".
According to the problem, John has already walked 15% of the way, which can be written as:
0.15x
We also know that he has walked 54 yards so far, which means:
0.15x = 54
To find the total distance John walks from school, we can solve for "x" by dividing both sides of the equation by 0.15:
x = 54 ÷ 0.15
x = 360
Therefore, John walks a total of 360 yards from school.
To know more about total distance refer here
https://brainly.com/question/6516113#
#SPJ11
can anyone solve this?
Answer:
3×0+1=1
Step-by-step explanation:
i hope that helps
#CarryonlearningFind the lowest common denominator (multiple). Type the equivalent fractions. Then, add or subtract. Simplify your answer. 1
2
1
3
Answer:what
Step-by-step explanation:what does this mean