Answer:
An angle that has a measure between 90 and 180 degrees is called an obtuse angle. An obtuse angle is characterized by having a measure greater than 90 degrees but less than 180 degrees. In other words, the angle "opens up" more than a right angle (which has a measure of 90 degrees) but less than a straight angle (which has a measure of 180 degrees). Obtuse
Step-by-step explanation:
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Calcula la cantidad de malla que necesitaremos para construir un colador en forma de cono de 22cm de diámetro y 48cm de generatriz. ¿Cuál es su volumen?
The amount of mesh required is: 1686.24cm²
The volume is: 5934.66cm³cm³
To calculate the amount of mesh we say
L = πrℓ
where r is the radius of the base, ℓ is the generatrix, and π is approximately 3.14.
Given the diameter of the cone, we can calculate the radius as follows
r = d/2 = 22/2 = 11 cm
We are also given that the generatrix ℓ is 48 cm.
Therefore, the lateral surface area of the cone i is
L = πrℓ = 3.14 x 11 x 48 = 1657.92cm²
To find the volume of the cone, we can use the formula
V = (1/3)πr²h
where h is the height of the cone.
We can use the Pythagorn theorem to find the height of the cone as shown below
h² = ℓ² - r²
h² = 48² - 11²
h² = 2197
h = √2197
h ≈ 46.86 cm
Now we can find the volume of the cone whic is
V = (1/3)πr²h = (1/3) x 3.14 x 11² x 46.86 ≈ 5934.66cm³
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Translation:
Calculate the amount of mesh we will need to build a cone-shaped strainer with a diameter of 22cm and a generatrix of 48cm. What is its volume?
the number of tickets sold for different concerts at a single venue in the past month. would you be more interested in looking at the mean, median, or mode? state your reasoning.
For analyzing the number of tickets sold for different concerts at a single venue in the past month, all three measures, mean, median, and mode, can provide useful information depending on the specific question we want to answer.
- The mean is the average number of tickets sold per concert, and it can help us understand the overall attendance at the venue. However, the mean can be skewed by a few high or low outliers, especially if there are some very popular or unpopular concerts that attract significantly more or fewer attendees than usual.
- The median is the middle value in the dataset, and it can help us identify the typical or typical range of ticket sales for concerts at the venue. The median is less affected by outliers than the mean, so it can be a more robust indicator of central tendency.
- The mode is the most frequent value in the dataset, and it can help us identify the most popular or least popular concerts at the venue. However, if there are several concerts with similar attendance numbers, there may not be a clear mode, or there may be multiple modes.
Therefore, it depends on the research question at hand, and all three measures should be considered together to gain a more complete understanding of the ticket sales for different concerts at a single venue in the past month.
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choosing the pivot row by requiring that the ratio associated with that row be the smallest non-negative number ensures that the iteration will not take us from a feasible point to a non-feasible point.
Answer:
This statement is true.
In the simplex method, choosing the pivot row involves selecting a row with a negative value in the right-hand column and dividing the elements in the last column by the corresponding elements in the selected row to obtain the ratios. The row with the smallest non-negative ratio is then chosen as the pivot row.
By choosing the pivot row in this way, we ensure that the new solution will still be feasible, meaning that all the constraints will still be satisfied. This is because choosing the smallest non-negative ratio ensures that the new solution will not violate any of the non-negativity constraints.
Therefore, requiring that the ratio associated with the pivot row be the smallest non-negative number is an important step in the simplex method to ensure that the iteration will not take us from a feasible point to a non-feasible point.
Step-by-step explanation:
This statement is true when using the simplex method to solve a linear programming problem.
In the simplex method, we start with a feasible solution and iteratively improve it until we reach an optimal solution. At each iteration, we choose a pivot row and a pivot column to pivot around. The pivot row is chosen based on the ratio of the right-hand side value to the coefficient of the entering variable in that row. This ratio is called the pivot ratio.
Choosing the pivot row with the smallest non-negative pivot ratio ensures that we pivot to a new feasible solution. This is because the pivot row represents a constraint in the linear programming problem, and the pivot ratio represents how much we can increase the value of the entering variable while still satisfying that constraint. If the pivot ratio is negative, it means that increasing the entering variable would violate the corresponding constraint, and so we cannot pivot in that direction.
Therefore, by choosing the pivot row with the smallest non-negative pivot ratio, we ensure that we pivot in a direction that preserves feasibility and does not take us to a non-feasible point.
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The regular polygon has the following measures.
a = 5√√/3 in
s = 10 in
Segment a is drawn from the center of the polygon
perpendicular to one of its sides.
What is the vocabulary term for segment a?
What is the area of the polygon?
Round to the nearest tenth and include correct units.
Show all your work.
The vocabulary for the segment "a" is apothem and the area of polygon with five sides is equal to 216 in² to the nearest tenth.
How to calculate area of the regular polygonThe area of a regular polygon is half the multiple of its apothem and the perimeter
A polygon with five sides will have its area calculated as follows:
apothem = 5√3 in
perimeter = 5 × 10 in = 50 in
Area of the pentagon = (1/2 × 5√3 × 50) in²
Area of the pentagon = (5√3 × 25) in²
Area of the pentagon = 216 in²
Therefore, the area of polygon with five sides is equal to 216 in² to the nearest tenth. And the vocabulary for the segment "a" is apothem .
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Fill in the sentence below with the description that most specifically applies to the quadrilateral below.
Answer:
Parallelogram
Step-by-step explanation:
the quadrilateral is most specifically a parallelogram because
• Opposite sides are parallel
• Opposite angles are congruent
Find the volume of the cylinder. Use 3.14 for π. Round to the tenths if necessary.
Answer:
577.76
Step-by-step explanation:
we know formula for volumne of cylinder
pie × square of radius × height
that is = 3.14× 8^2 × 23
that is = 577.76
Solve for x.
5x – 10 > 20 or 5x – 10 ≤ –15
The required simplified value of x is x > 6 or x ≤ -1.
We have two inequalities here:
5x - 10 > 20 or 5x - 10 ≤ -15
We can start by solving the first inequality:
5x - 10 > 20
5x > 30
x > 6
So x is greater than 6 for the first inequality to hold.
Next, we can solve the second inequality:
5x - 10 ≤ -15
5x ≤ -5
x ≤ -1
So x is less than or equal to -1 for the second inequality to hold.
Putting it all together, the solution to the system of inequalities is:
x > 6 or x ≤ -1
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If 10 tulips cost $7. 80, how much would 1 tulip cost?
The cost of one tulip when the cost of ten tulip $7.80 is given by $0.78.
Cost of ten tulip is equal to $7.80.
To find the cost of 1 tulip, we can use unitary method .
Let us consider the cost of one tulip be '$x' .
If 10 tulips cost $7.80, then 1 tulip would cost 1/10th of $7.80.
This implies,
10x = $7.80
Multiply both the side of the equation by ( 1/10 ) we get,
⇒ 1/10 × 10x = 1/10 × $7.80
⇒ x = $0.78
Therefore, using the given cost of ten tulip the one tulip would cost $0.78.
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at a race track, the average speed of the race cars is measured every lap. the box-and-whisker plot represents the average speed of a certain car for several laps. what is the range in the average speed?
The median of the given data is 131, which is the average of the two middle values of the box plot range.
The given box-and-whisker plot represents the average speed of a certain car for several laps. The median value is the middle value of the data when it is arranged in ascending or descending order. In this case, the median is the value that divides the box into two equal halves.
Since the box plot range is from 126 to 131 and 131 to 135, the median value would be the average of the two middle values, which are 131 and 131. Therefore, the median of the given data is (131+131)/2 = 131.
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Determine if the point is part of the line: y= -3x-4 ; (-1,-1)
The point (-1,-1) is a part of the line "y = -3x -4", because it satisfies the equation of line.
In order to determine if the point (-1,-1) is part of the line y = -3x - 4, we substitute the values of "x" and "y" into the equation and check if the equation holds true.
The point is (-1,-1), We Substitute x = -1 and y = -1 into the equation,
We get,
-1 = -3 × (-1) - 4,
On Simplifying,
We get,
-1 = 3 - 4
-1 = -1
Since both sides of the equation are equal, we can conclude that the point (-1,-1) is part of the line y = -3x - 4.
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the random variable w represents the value of the prize won for a single ticket minus the cost of the ticket. what is the expected value of w ?
The expected value of W is Php 4.96. This means that on average, a person who buys a 20-peso raffle ticket from a total of 1000 tickets has a chance to gain Php 4.96 from the raffle.
To find the expected value of W, we need to calculate the probability of each possible outcome and multiply it by its corresponding value.
The cost of a ticket is Php 20, and there are 1000 tickets sold, so the total revenue is 1000 x 20 = Php 20,000.
The probability of winning the raffle is 1/1000, and the prize money is Php 5000. So, the value of W in this case is 5000 - 20 = Php 4980.
The probability of losing the raffle is 999/1000, and the value of W in this case is -20.
So, the expected value of W can be calculated as follows
E(W) = (1/1000) x 4980 + (999/1000) x (-20)
E(W) = 4.98 - 0.02
E(W) = 4.96
Therefore, the expected value of W is Php 4.96.
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--The given question is incomplete, the complete question is given
" The random variable W represents the amount gain by a person who buys a 20-pesos ticket from the total of 1000 tickets for a raffle whose winner will obtain Php 5,000.00. what is the expected value of w ?"--
what is the probability of choosing a card that has digit 1 on it?
The probability of choosing a card from a deck of 52 cards that has digit 1 on it is 1/13 .
A standard deck of 52 playing cards has 4 suits ,
hearts, diamonds, clubs, and spades.
And 13 ranks as 2 through 10, Jack, Queen, King, and Ace in each suit.
To find the probability of choosing a card that has digit 1 on it,
Count the number of cards that satisfy this condition and divide by the total number of cards in the deck.
There are four cards in each suit that have the digit 1 on them.
The Ace of clubs, the Ace of diamonds, the Ace of hearts, and the Ace of spades.
The total number of cards in the deck is 52.
The probability of choosing a card that has digit 1 on it is,
= 4/52
= 1/13
Therefore, the probability of choosing a card that has the digit 1 on it is equal to 1/13.
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Last year, The Cedarburg Times had a total of 6,100 subscribers. This year, after the paper was bought out, it had 6,832 subscribers. What is the percent of increase in the number of subscribers? %
The percent increase in the number of subscribers this year as compare to last year is equal to 12%.
Total number of subscribers last year = 6,100
Total number of subscribers this year = 6,832
The percent increase in the number of subscribers,
= Difference between number of subscribers this year and last year / number of subscribers last year multiply by 100
The difference between this year's and last year's subscribers is equal to
= 6,832 - 6,100
= 732
The percent increase in the subscribers this year compare to last year is,
= (732 / 6,100) x 100
= 0.12 x 100
= 12%
Therefore, the percent increase in the number of subscribers is 12%.
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brainliest, 100 points, and multiple choice!! i appreciate it thanks so much!!
an amount of 150€ is divided among four people in such a way that each following person gets half as much as the previous one gets. what are the partial amounts?
Answer:
the first person gets €80, the second person gets €40, the third person gets €20 and the fourth person gets €10.
Step-by-step explanation:
Let’s call the amount of money that the first person gets “x”. Then, the second person gets half of x, which is x/2. The third person gets half of x/2, which is x/4. The fourth person gets half of x/4, which is x/8.
The sum of these amounts should be equal to 150€.
x + x/2 + x/4 + x/8 = 150
Multiplying both sides by 8 gives:
8x + 4x + 2x + x = 1200
15x = 1200
x = 80
Therefore, the first person gets €80, the second person gets €40, the third person gets €20 and the fourth person gets €10.
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10) An airplane can travel 1716 feet in 3 seconds. Find the speed of the plane in miles per hour.
First, we need to convert feet to miles and seconds to hours.
1 mile is equal to 5280 feet.
So, 1716 feet is equal to (1716/5280) miles or 0.325 miles.
1 hour is equal to 3600 seconds.
So, 3 seconds is equal to (3/3600) hours or 0.00083333 hours.
Now we can calculate the speed of the plane in miles per hour by using the formula:
Speed (in miles per hour) = Distance (in miles) / Time (in hours)
Speed = 0.325 miles / 0.00083333 hours
Speed = 390 miles per hour (rounded to the nearest whole number)
Therefore, the speed of the plane is 390 miles per hour.
Quadrilateral RUST has a vertex at R (1, 5). R 20 T S What are the coordinates of R'after the translation (x, y) (x + 1, y - 1). followed by a dilation by a scale factor of 3, centered at the origin? -
The coordinates of R'' after the translation and dilation are (6, 12).
The translation (x, y) → (x + 1, y - 1) shifts the point R(1, 5) to the point R'(2, 4) by adding 1 to the x-coordinate and subtracting 1 from the y-coordinate.
The dilation with scale factor 3 centered at the origin multiplies the coordinates of R' by 3, resulting in:
R''(32, 34) = R''(6, 12)
Therefore, the coordinates of R'' after the translation and dilation are (6, 12).
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help please i got a screenshot
Answer: no
Step-by-step explanation:
Enhanced - with Hints and Feedback At 100°C the rms speed of nitrogen molecules is 576 m/s. Nitrogen at 100°C and a pressure of 2.4 atm is held in a container with a 13 cm x 13 cm square wall.
At 100°C, the nitrogen molecules in the container have an rms speed of 576 m/s. The pressure inside the container,
which is at a pressure of 2.4 atm, is a result of the collisions of these fast-moving molecules with the walls of the container. The area of the wall is 13 cm x 13 cm, which means there is a total surface area of 169 cm^2.
The collisions of the nitrogen molecules with this surface area will result in a force on the wall, which is what creates the pressure.
Overall, the properties of the nitrogen molecules, including their speed and number, contribute to the overall pressure inside the container.
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a house is built by 20 workers in 30 days. how many workers will be needed to complete the work in 15 days?
Therefore, we need 40 workers to complete the work in 15 days.
Let's assume that the amount of work required to build the house is the same, regardless of the number of workers. This means that the number of workers and the time required to complete the work are inversely proportional to each other. We can use the following formula:
n1 × d1 = n2 × d2
where n1 is the initial number of workers, d1 is the initial number of days, n2 is the new number of workers, and d2 is the new number of days.
Substituting the given values, we get:
20 × 30 = n2 × 15
Simplifying the equation, we get:
n2 = (20 × 30) ÷ 15
n2 = 40
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The area of a newspaper page (opened up) is about 621.96 square inches. Determine the length and width of the page if it’s length is about 1.24 times it’s width. How many inches is the width of the page?
- Let x be the width of the page in inches.
- Then the length of the page is 1.24x inches.
- The area of the page is x * 1.24x = 1.24x^2 square inches.
- We know that the area is about 621.96 square inches, so we can set up an equation:
- 1.24x^2 = 621.96
- To solve for x, we need to divide both sides by 1.24 and then take the square root:
- x = sqrt(621.96 / 1.24)
- x = sqrt(501.58)
- x = 22.4 (rounded to one decimal place)
- Therefore, the width of the page is about **22.4 inches**.
- The length of the page is 1.24 * 22.4 = 27.8 (rounded to one decimal place)
- Therefore, the length of the page is about **27.8 inches**.
I hope this helps you understand how to solve this problem.
The formula for the surface area of a rectangular prism
Answer:
2,200 cm²
Step-by-step explanation:
The surface area equation:
[tex]SA=2lw+2lh+2wh[/tex]
substitute in our given values:
[tex]SA=2(90)(2)+2(90)(10)+2(2)(10)\\=2200\\[/tex]
The surface area is 2,200
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which probability distribution should be used to solve the following problem?affirmative action commitments by many organizations have led to an increase in the number of women in executive positions. satellite office systems has vacancies for two executives that it will fill from among four women and six men. what is the probability that at least one woman is selected?
The probability distribution to use in this problem is the binomial distribution and the probability of success is the probability of selecting a woman, which is 4/10.
The probability distribution that should be used to solve the problem of selecting at least one woman from a group of four women and six men for two executive vacancies is the binomial distribution.
The binomial distribution formula is used to calculate the probability of getting a certain number of successes in a fixed number of trials, given the probability of success in each trial. In this case, the probability of success is the probability of selecting a woman, which is 4/10.
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Helppppppp meee please
Answer:
x=36 y=71
Step-by-step explanation:
for x use the Z alternate angle
for y use 180 -73-36=71
a survey asked people whether they like playing golf. of the 3,000 people surveyed, 60% liked playing golf. how be many people said they like playing golf
Answer: 1,800 people said they like playing golf
Step-by-step explanation:
First, we will turn 60% into a decimal. A percent divided by 100 becomes a decimal.
60% / 100 = 0.6
Next, "of" means multiplication in terms of mathematics. We will multiply 3,000 by 0.6.
3,000 * 0.6 = 1,800 people
per the central limit theorem the standard deviation of the sampling distribution of the sample mean is equal to the population: a. standard deviation divided by n b. standard deviation divided by the square root of n c. mean d. standard deviation
The correct option is D, Per the Central Limit Theorem the mean of the sampling distribution of the sample mean is equal to the population Mean.
The Central Limit Theorem (CLT) is a fundamental concept in probability theory and statistics. It states that if you take repeated random samples of a population, the sample means will follow a normal distribution, regardless of the shape of the population distribution, provided the sample size is large enough. This means that as the sample size increases, the sample mean becomes more and more normally distributed.
The CLT is important because it helps us to understand the properties of large samples, even when the population is not normally distributed. It is used in many areas of research, including social sciences, finance, engineering, and more. The theorem provides a powerful tool for estimating population parameters, such as the mean or variance, and for testing hypotheses about them. It also helps to explain why the normal distribution is so commonly observed in real-world data, and why it is often used as a model for statistical analysis.
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Complete Question:-
Per the Central Limit Theorem the mean of the sampling distribution of the sample mean is equal to the population:
a. Standard deviation divided by n
b. Mean divided by n
c. Standard Deviation divided by the square root of n
d. Mean
The tables represent the points earned in each game for a season by two football teams.
Eagles
3 24 14
27 10 13
10 21 24
17 27 7
40 37 55
Falcons
24 24 10
7 30 28
21 6 17
16 35 30
28 24 14
Which team had the best overall record for the season? Determine the best measure of center to compare, and explain your answer.
Eagles; they have a larger median value of 21 points
Falcons; they have a larger median value of 24 points
Eagles; they have a larger mean value of about 22 points
Falcons; they have a larger mean value of about 20.9 points
A team which had the best overall record for the season and the best measure of center to compare include the following: B. Falcons; they have a larger median value of 24 points
What is a median?In Mathematics and Geometry, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.
From the data set for Eagles, we have:
3, 24, 14, 27, 10, 13, 10, 21, 24, 17, 27, 7, 40, 37, 55
Mean of Eagles = [3 +24+ 14 +27 +10+ 13+ 10 +21 +24+ 17+ 27+ 7+ 40+ 37 +55]/15
Mean of Eagles = 329/15
Mean of Eagles = 21.93 ≈ 22.
Median of Eagles = 21.
Median of Falcons = 24.
Since Falcons have both a larger mean and median value, the best measure of center to compare would is the mean.
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please help! in ABC, m
The value of length BC is 1.7.
option A.
What is the value of length BC?The value of length BC is calculated by applying the formula for trig ratios.
SOH CAH TOA
SOH = sin θ = opposite /hypothenuse side
TOA = tan θ = opposite side / adjacent side
CAH = cos θ = adjacent side / hypothenuse side
The hypothenuse side is given and the value of BC is calculated as follows;
sin 25 = x/4
x = 4 sin (25)
x = 1.7
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what is the condition for the first dark fringe through a single slit of width w?
The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength= (λ/2).
This can be expressed mathematically as:
w * sin(θ) = (m + 1/2) * λ, where m = 0 for the first dark fringe, w is the slit width, θ is the angle of the dark fringe from the central maximum, and λ is the wavelength of light.
When light passes through a single slit, it diffracts and creates an interference pattern with alternating bright and dark fringes on a screen. The dark fringes occur when light waves from the edges of the slit interfere destructively, which means their path difference must be an odd multiple of half a wavelength (λ/2).
For the first dark fringe, we set m = 0 in the equation:
w * sin(θ) = (0 + 1/2) * λ
So, the condition for the first dark fringe is:
w * sin(θ) = λ/2
Hence, The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength (λ/2). This can be represented by the equation w * sin(θ) = λ/2.
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The chef filled a big pot with 3. 7 cups of water and filled a smaller pot with 7. 3 cups of water. Which pot has more water?
Using a unitary method, we have identified that the smaller pot has more water.
To compare the amount of water in the two pots, we need to find a common unit of measurement. In this case, both pots are measured in cups, so we can simply compare the number of cups in each pot. The chef filled the larger pot with 3.7 cups of water, and the smaller pot with 7.3 cups of water.
Now, we can use a unitary method to compare the two quantities. Let's assume that one cup is our unit of measurement. To find out how many cups of water are in the smaller pot, we can divide 7.3 by 1 cup. This gives us 7.3 cups of water. To find out how many cups of water are in the larger pot, we can divide 3.7 by 1 cup. This gives us 3.7 cups of water.
As we can see, the smaller pot has more water than the larger pot.
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