The measure of the angle S is 54 degrees
How to determine the valueUsing the Pythagorean theorem, we have that;
r² = t² + s²
Subsitute the values
s² = 24² - 14²
Find the square values
s² = 576 - 196
s² = 380
find the square root value
s = 19. 5
Then, using the law of sines, we have that;
sin R/r = sin S/s
Substitute the values, we get;
sin 98/24 = sin S/19.5
cross multiply the values
sin S = 19.3/24
Divide the values
sin S = 0. 8045
S = 54 degrees
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The word that best describes line segment ID in the image given showing a circle is: a chord.
What is a Chord?A chord can simply be described as a line segment in a circle that connects two points on the circumference of a circle to each other.
The largest chord in a circle is a the diameter. A circle can have as many chords as possible.
Considering the image given above, ID is a line segment which connects points I and D which are on the circumference of the circle together. Therefore, ID can best be described as a chord.
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College Trigonometry Question. Any help would be appreciated
The area of the right triangle, using the two formula gave the same result as (25√3)/2 squre units.
What is the area of the right triangle?A right triangle is a triangle in which one angle is a right angle.
Area of a triangle can be calculated using:
A = 1/2 × b × h
Where b and h are base and height respectively.
From the diagram:
Base b = 5
Height h = 5√3
Area = ?
Plug these values into the above formula and solve for area.
A = 1/2 × b × h
A = 1/2 × 5 × 5√3
A = (25√3)/2
Now, using a second formula to verify if we get the same result.
A = 1/2 × ab × sinC
From the image:
a = 5√3
b = 5
Angle C = 90
Plug in the values:
A = 1/2 × ab × sinC
A = 1/2 × 5√3 × 5 × sin( 90° )
A = 1/2 × 5√3 × 5 × 1
A = (25√3)/2
Therefore, the area of the triangle is (25√3)/2 squre units.
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The total cost of an order of shirts from a company consists of the cost of each shirt plus a one-time design fee. The cost of each shirt is the same regardless of how many shirts are ordered.
The company provides the following examples to customers to help them estimate the total cost of an order of shirts:
• 50 shirts cost $349.50
• 500 shirts cost $2370. Based on the examples, what is the cost of each shirt, not including the one-time design fee? Explain how you found your answer.
One shirt costs $6.99
One shirt costs $4.74
What is the unit cost of a shirt?In the question that we have here we need to obtain the cost of a shirt. When we want to get the cost of just one item from the cost of a given number of the same item we are said to be trying to obtain the unit cost.
Hence in this problem, we are trying to find the unit cost without adding the cost of the one-time design fee as such we are going to have in this case that;
Cost of one shirt in case 1 = $349.50/50 = $6.99
Cost of one shirt in case 2 = $2370/500 = $4.74
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Need help on this please
The equation written in point-slope form is:
y + 50 = (-1/3)*(x - 80)
How to find the equation of the line?A linear equation with a slope a that passes through a point (x₁,y₁) is written in the point-slope form as:
y - y₁ = a*(x - x₁)
And the slope for a line that passes through (x₁,y₁) and (x₂, y₂) is:
a = (y₂ - y₁)/(x₂ - x₁)
Here we can identify the points (-70, 0) and (80, -50)
Then the slope is:
a = (-50 - 0)/(80 + 70) = -50/150 = -1/3
Using the red point (80, -50)
We can write the equation as:
y + 50 = (-1/3)*(x - 80)
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In how many ways could a group of 10 people form a committee with at least 8 people on it?
There are 56 ways for a group of 10 people to form a committee with at least 8 people on it.
To find the number of ways that a group of 10 people can form a committee with at least 8 people on it, we can use combinations.
First, we can find the number of ways to choose 8 people from the 10 available, which is:
C(10, 8) = 45
Next, we can find the number of ways to choose 9 people from the 10 available, which is:
C(10, 9) = 10
Finally, we can find the number of ways to choose all 10 people, which is:
C(10, 10) = 1
To get the total number of ways to form a committee with at least 8 people on it, we can add up these three cases:
45 + 10 + 1 = 56
Therefore, there are 56 ways for a group of 10 people to form a committee with at least 8 people on it.
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Tyshawn is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission for every computer sale he makes. Let P P represent Tyshawn's total pay on a day on which he sells x x computers. The table below has select values showing the linear relationship between x x and P . P. Determine how many computers Tyshawn would have to sell in order to get paid $225 on a given day. x x P P 3 3 135 135 5 5 165 165 7 7 195
The required, Tyshawn would need to sell 9 computers to make $225 on a given day.
We can use the values from the table to find the slope of the linear relationship between x and P. We know that the relationship is linear because the table shows a constant increase in P as x increases by the same amount each time.
To find the slope, we can choose any two pairs of values from the table and use the formula:
slope = (change in P) / (change in x)
Using the first and second pairs of values, we get:
slope = (165 - 135) / (5 - 3) = 15
This tells us that Tyshawn's pay increases by $15 for each additional computer he sells.
Now we can use the point-slope form of the equation of a line to find the number of computers he would need to sell to make $225. We know that his pay starts at a base amount and increases by $15 for each computer sold, so the equation is:
P = 15x + b
where b is the base pay amount. We can find b by using one of the pairs of values from the table. Using the first pair, we get:
135 = 15(3) + b
b = 90
So the equation for Tyshawn's pay is:
P = 15x + 90
To find how many computers he needs to sell to make $225, we can substitute P = 225 into the equation and solve for x:
225 = 15x + 90
x = 9
Therefore, Tyshawn would need to sell 9 computers to make $225 on a given day.
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Annika chooses a marble from a bag without looking. She records the color and replaces the marble. She repeats this several times. The table shows her results. Based on her results what is the probability of choosing an orange marble from the bag?
The difference of the means is found and then compared to each of the mean absolute deviations. Which is true?
The difference between the means is about equal to the mean absolute deviation of the data sets.
The difference between the mean is about 2 times the mean absolute deviation of the data sets.
The difference between the mean is about 4 times the mean absolute deviation of the data sets.
O The difference between the means is about 5 times the mean absolute deviation of the data sets.
The true statement is, The difference between the mean is about 2 times the mean absolute deviation of the data sets.
Mean absolute deviation (MAD) is defined as the average value of the absolute deviations from the mean.
Difference of the means is found by subtracting the two means.
Each mean is found by adding the data points and then dividing by the number of data sets.
The relationship between the difference of means and the MAD of two sets is,
The difference between the mean is about 2 times the mean absolute deviation of the data sets.
Hence the correct option is B.
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how to find x in a algebra problem
Which of the following equations has exactly one real solution?
The equation has exactly one real solution is - 2.41.
Since the equation is an expression that shows the relationship between two or more numbers and variables.
There are an infinite number of x values so, these two can easily be ruled out. there is no solution because the x values cancel each other out.
6x + 13 = -6x - 16
6x + 6x = -16 - 13
12x = -29
x = -29/12
x = - 2.41
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how to find x, y and z in 125 degrees
The value of x, y and z in the line is as follows:
x = 55°
y = 125°
z = 55°
How to find angles in intersected lines?When lines intersect, angle relationships are formed such as vertically opposite angles, adjacent angles etc.
Therefore, let's use the angle relationship to find the angles x, y and z in the line.
Hence,
y = 125 degrees(vertically opposite angles)
Therefore,
x = 180 - 125(angles on a straight line)
x = 55 degrees
Therefore,
x = z(vertically opposite angles)
Vertically opposite angles are congruent.
Hence,
z = 55 degrees.
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Use the long division method to find the result when 16x³ + 16x² + 7x + 1 is
divided by 4x + 1.
Answer:
I think it will be 4x^2+4x+7/4x+1
correct me if I'm wrong
College Trigonometry Question. Any help would be appreciated
The height of the building to the nearest foot is: 235 ft
How to solve trigonometric ratios?We are given the parameters as:
Height of building = 94.7 ft
The angle of elevation of the top of the flagpole = θ₁ = 35.2°
The angle of elevation of the bottom of the flagpole = θ₂ = 26.7°
Let,
Height of building = x
Distance from observation point to base of building = y
Thus:
tan 26.7 = x/y
y = x/tan 26.7
tan 35.2 = (94.7 + x)/y
Thus:
tan 35.2 =(94.7 + x)/(x/tan 26.7)
Rearranging this gives:
x = 94.7/((tan 35.2/tan 26.7) - 1)
x = 235.23 ft
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The solution is, the value of the variables are x = 40 and, y = 160.
Notice that "x" and "3x+20" are supplementary angles so their sum is 180°
(x) + (3x + 20) = 180
4x + 20 = 180
4x = 160
x = 40
To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.
(x) + (y - 20) = 180°
40 + y - 20 = 180
y + 20 = 180
y = 160
Answer: x=40, y=160
The solution is, the value of the variables are x = 40 and, y = 160.
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complete question:
Find the value of each variable
check image i linked below
There is no calculation required. The bearing of U is 32° Southwest from T.
What is bearing in math?A bearing is the angle in degrees measured clockwise from north in mathematics. Bearings are often specified in three figures. 30° clockwise from north, for example, is generally represented as 030°.
Bearings are used to identify both the direction and the angle of a certain landmark. In surveying and aviation, a true bearing is the angle formed by a path or line with a fixed north-south line. A correct bearing ALWAYS measures clockwise from North. In a true bearing, for example, we would measure this obtuse angle and claim it has a bearing of °T.
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Assume that different groups of couples use a particular method of gender selection and each couple
gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl,
but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups
consist of 30 couples. Complete parts (a) through (c) below.
a. Find the mean and the standard deviation for the numbers of girls in groups of 30 births.
0
(Type an integer or a decimal. Do not round.)
The value of the mean is µ =
The value of the standard deviation is o= 0.
(Round to one decimal place as needed.)
or
b. Use the range rule of thumb to find the values separating results that are significantly lo
significantly high.
girls or fewer are significantly low.
Values of
(Round to one decimal place as needed.)
girls or greater are significantly high.
...
Values of
(Round to one decimal place as needed.)
c. Is the result of 25 girls a result that is significantly high? What does it suggest about the effectiveness of
the method?
The result
suggest that the method
(Round to one decimal place as needed.)
significantly high, because 25 girls is
girls. A result of 25 girls would
Time Remaining: 01:58:24
Next
a. The value of the mean is µ = 15
The value of the standard deviation is 2.74
b. Values of 9.52 girls or greater are significantly low.
Values of 20.48 girls or greater are significantly high
c. The result of 25 girls is significantly high because it is greater than 20.48.
How to solve for the mean and the standard deviationa. The mean for the number of girls in a group of 30 births is:
a. µ = np
= 30(0.5)
The value of the mean is µ = 15
The standard deviation is:
a. σ = √(np(1-p))
= √(30(0.5)(0.5))
The value of the standard deviation = 2.74 (rounded to two decimal places)
b. Using the range rule of thumb, we can say that significantly low results are those that are less than 15 - 2.74(2) = 9.52, and significantly high results are those that are greater than 15 + 2.74(2) = 20.48.
c. The result of 25 girls is significantly high because it is greater than 20.48. This suggests that the method may be effective in increasing the likelihood of having a girl.
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Part II Express probabilities as percents (round to the nearest percent). Answer with complete sentences.
1. Jing has a .320 on-base percentage. Over the course of a 3-game series, Jing will bat 14 times. Assume that the chance of getting on base a fixed number of times is a binomial distribution.
(a) Is the distribution for Jing getting on base symmetric, skewed right or skewed left?
(b) On average how many times will Jing get on base? Round to nearest 10th.
(c) What is the chance of Jing getting on base exactly once? Use the formula to find an expression and then use your calculator to find the numeric answer.
(d) [6 pts] What is the chance of Jing getting on base at least 5 times? Write down P(X…) = and the calculator expression with binomcdf which you used to find the numeric answer (think complement)
2. At Mediantown Middle School, scores are normally distributed for the state standardized math test.
Shade and label probabilities as was done in problem 2; use Z instead of X.
Write down the calculator commands; use normcdf(_______,________,0,1) with -1EE99 as negative infinity and 1EE99 as positive infinity (the smallest and largest #’s in a calculator).
(a) Etne got a standardized score of -1.25. Etne did better than what portion of the students?
(b) Regal got a standardized score of 1.54. What portion of the students did better than Regal?
(c) What portion of the students got scores between Etne and Regal?
The expected number of hits
= ∑x P (X=x) = 0.96
Here, we have, to solve
Let X be a Binomial random variable that denotes the number of hits
where the parameters are n = 3, p = 0.320
P(X = x) , x = 0,1,2,3
(a) The probability distribution of X is
P(X = 0) = 0.3144
P(X = 1) = 0.4439
P(X = 2) = 0.2089
P(X = 3) = 0.0328
X 0 1 2 3
P(X = x) 0.3144 0.4439
0.2089
0.0328
(c) Expected number of hits
= ∑x P (X=x) = 0.96
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complete question:
Percents (round to 1. Jing has a .320 on-base percentage. Over the course of a 3-game series, Jing will bat 14 times. Assume that the chance of getting on base a fixed number of times is a binomial distribution. *tel Is the distribution for Jing getting on base symmetric, skewed right or skewed left?
3
5
2
Lydia had of a bag of flour. She used
3
of what was left to make loaves of
bread. What fraction of a whole bag of
flour did Lydia use to make bread?
If Lydia had ²/₃ of a bag of flour and she used ³/₅ of it to make loaves of bread, the fraction of the whole bag that she used was ²/₅.
What is a fraction?A fraction is a portion or part of a whole.
Fractions are classified into proper, improper, and complex fractions, depending on the value of the numerator and denominator.
The fractional value of the bag of flour = ²/₃
The fraction of the bag that she used to make bread = ³/₅ of ²/₃
Comparatively, the proportion of the bag that she used was = ²/₅ (³/₅ of ²/₃)
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Lydia is organizing a cooking competition at her school. She ordered some basic supplies to share among the teams that are competing.
The teams will be bringing other ingredients as well.
Use the list at the right to answer the questions.
1. If 10 of the teams divide the olive oil equally, how
much will each team receive? Write an equation
to model your work.
738.4 grams, flour
8.25 liters, milk
5.4 liters, olive oil
87.6 grams, salt
36 eggs
The equation to model the given work is 5.4 liters / 10 teams = 0.54 liters per team, and 0.54 liters per team × 920 grams per liter = 497.28 grams per team.
The teams will share 5.4 liters of olive oil. To find out how much each team will receive, we can divide the total amount of olive oil by the number of teams:
5.4 liters ÷ 10 teams = 0.54 liters per team
However, it's usually more convenient to express this in grams for equation, so we need to convert liters to grams.
The conversion factor for olive oil is approximately 0.92 grams per milliliter (or 920 grams per liter). So, we can multiply 0.54 liters per team by 920 grams per liter to get:
0.54 liters per team × 920 grams per liter = 497.28 grams per team
Therefore, each team will receive 497.28 grams of olive oil as per the work.
Equation: 5.4 liters / 10 teams = 0.54 liters per team, and 0.54 liters per team × 920 grams per liter = 497.28 grams per team.
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angel found out that sales tax in san antonio texas is 8.25% and sales tax in Toronto Ontario is 13%. If he brought a 600 dollar phone in Toronto instead of san antonio, how much more would he play in sales tax.
If Angel bought a $600 phone in Toronto instead of San Antonio, he pays $28.50 more sales tax, based on the subtraction operation.
What is the subtraction operation?Subtraction operation is one of the four basic mathematical operations, including addition, multiplication, and division.
Subtraction operation involves the subtrahend, the minuend, and the difference.
Sales tax rate in San Antonio Texas = 8.25%
Sales tax rate in Toronto Ontario = 13%
The cost of a phone bought by Angel = $600
The sales tax in dollars in San Antonio Texas = $49.50 ($600 x 8.25%)
The sales tax in dollars in Toronto Ontario = $78.00 ($600 x 13%)
The difference in tax between Toronto and San Antonio = $28.50 ($78.00 - $49.50).
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5 cones and 8 sundaes cost $59.82 and 7 cones and 6 sundaes cost 59.62. how much are cones and how much do sundaes cost
The cost of cone is $4.66 and cost of sundaes $4.54.
Assume,
cost of 1 cone = x
cost of 1 sundaes = y
Then according to the question
5x + 8y = 59.82 ....(i)
7x + 6y = 59.62 ....(i)
Now from 7x(i) - 5x(ii)
⇒ 26 y = 118.24
⇒ y = 4.54
Put value of y into (i),
⇒ 5x + 36.32 = 59.62
⇒ 5x = 23.3
⇒ x = 4.66
Thus, x = 4.66 and y = 4.54
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Which graph represents the function f(x)= 1/x+3 -2?
The graph that represents the function f(x) = [tex]\frac{1}{x - 3} - 2[/tex] is shown below.
We are given a function f(x) = [tex]\frac{1}{x - 3} - 2[/tex] and we have to plot a graph that represents this function.
The function we have is f(x) = [tex]\frac{1}{x - 3} - 2[/tex] . We will now find the domain of the function. A set of input values for which the function is real and has defined values is called the domain of the function. So, The given function will be undefined at x = 3
Therefore, the domain is x < 3 or x > 3.
Now, we will look for the range of the given function. The range is the set of values of the dependent variable for which the function is defined. If we inverse the given function, we get
y = [tex]\frac{(3x + 7)}{(x + 2)}[/tex]
We will find the domain of this inverse function. The domain is f(x) < -2 or f(x) > -2. Now, we will find x-intercepts and y-intercepts. The x-intercept is the point where y = 0 and the y-intercept is where x= 0
Let f(x) = y
Then y = [tex]\frac{1}{x - 3} - 2[/tex]
Put x = 0
thus y-intercept is (0, -7/3)
Now put y = 0
Then x-intercept is (7/2, 0)
Now, we will calculate the horizontal and vertical asymptotes.
Vertical asymptotes,
Now, we will go over every undefined point and check if at least one of these statements is satisfied.
[tex]lim_{x - > a^{-}} f(x) = \pm\infty[/tex]
[tex]lim_{x - > a^{+}} f(x) = \pm\infty[/tex]
Therefore, the vertical asymptotes are x = 3
and For horizontal asymptotes,
Check if [tex]x - > \pm\infty[/tex] the function y = [tex]\frac{1}{x - 3} - 2[/tex] behaves as a line y = mx + b.
Therefore, we have y = -2 as horizontal asymptotes.
The plotted graph that represents the given function is shown below.
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The complete question is "Which graph represents the function f(x)=1/x+3-2 "
Help please EASY WORK ILL MARK YOU BRAINLY
The measure of the angle ABC is 84 degrees and other measures are listed below
Finding the measure of ABCHere, we have
8n - 38 = 5n - 8
So, we have
3n = 30
n = 10
So, we have
ABC = 8n - 38 + 5n - 8
ABC = 8(10) - 38 + 5(10) - 8
ABC = 84
So, the measure of the angle ABC is 84 degrees
Finding the measure of angle CBWHere, we have
2k + 28 = 6k - 20
So, we have
4k = 8
k = 2
So, we have
CBW = 2k + 28
CBW = 2(2) + 28
CBW = 32
So, the measure of the angle CBW is 32 degrees
The interior angles of a polygonThe interior angle is calculated as
Angle = 180 * (n - 2)/n
Regular 18-gon
Angle = 180 * (18 - 2)/18
Angle = 160
Regular 24-gon
Angle = 180 * (24 - 2)/24
Angle = 165
Finding the measure of YA and MAHere, we have
3x - 10 = x + 8
So, we have
2x = 18
x = 9
So, we have
YA = MA = 9 + 8
YA = MA = 17
Hence, the measures of YA and MA are 17
Finding the measure of NY and NVHere, we have
4x - 15 = 2x - 3
So, we have
2x = 12
x = 6
So, we have
NY = 2(6) - 3
NY = 9
NV = 2 * 9
NV = 18
Hence, the measures of NY and NV are 9 and 18, respectively
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Please Help i need to get this done by 7:30
Answer: 0.3 and 3/10
Step-by-step explanation:
its 3 tenths
Can someone help with this
The values of L and K which maximize production will be 18 and 216 respectively.
What is production?Production simply means the process of combining various inputs, both material and immaterial in order to create output. Ideally this output will be a good or service which has value and contributes to the utility of individuals
In this case, a company has 2700 dollars to invest, which must be divided between capital expenditures and labor and each unit of labor costs the company 10 dollars, and each unit of capital costs 10 dollars.
Hence, the values of L and K which maximize production will be 18 and 216 respectively.
Check the attachment.
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operaciones con conjuntos
There are three primary sorts of operations done on sets in a set theory, such as:
Sets' union (∪)
Sets intersecting (∩)
Set difference (- )
Why are the above important?Sets help in the identification of related groupings of objects. Set operations such as relations and functions are used to connect and manipulate sets.
Bowls, glasses, cups, and saucers are kept separate from plates, while pans and utensils have their own compartments. Cooking utensil sets and other collections are separated in storage. As seen above, there are countless examples of sets in our daily lives.
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Which of these questions should you ask while surveying to help you better
understand what you're about to read?
Answer:
What do I already know about this topic?What words do I not understand?What is the source of conflict?Step-by-step explanation:
It’s not clear what you’re referring to by “surveying”. However, here are some questions that you can ask yourself while reading to help you better understand what you’re reading1:
What do I already know about this topic?What words do I not understand?What is the source of conflict?If you were organizing a raffle like this, how would you change the game (ticket prices, number of tickets, prize amounts, etc.) in order to encourage more people to purchase tickets while still raising at least $4000 for your organization? Your response should include a short paragraph, written in complete sentences, with an explanation of the specific adjustments or changes that you would make and how these changes would encourage more people to purchase tickets.
Answer:
To encourage more people to purchase tickets while still raising at least $4000 for the organization, I would make several changes to the raffle game. Firstly, I would reduce the ticket price to a more affordable amount, such as $5 per ticket, to make it accessible to more people. Secondly, I would increase the number of tickets available for purchase, possibly to 2000 tickets, to increase the chances of winning and make it more appealing to potential buyers.
Thirdly, I would adjust the prize amounts to make them more enticing, such as offering a grand prize of $2000, a second prize of $1000, and several smaller prizes of $100 each. By increasing the prize amounts and offering more prizes, it will make the raffle more attractive to people who are looking for a chance to win big while still supporting a good cause.
Additionally, I would use social media platforms and email marketing to promote the raffle to a wider audience, highlighting the prizes and the charitable cause to increase awareness and encourage people to buy tickets. By implementing these changes, the raffle would become more accessible, offer more attractive prizes, and be promoted to a wider audience, ultimately increasing the likelihood of selling more tickets and achieving the fundraising goal of at least $4000 for the organization.
Describe the shape of the data represented below.
The shape of the data that we have here is skewed to the right
How is a data skewed to the right?A dataset is considered to be right-skewed (sometimes known as excessively positive) when the greater portion of its data points are concentrated on the lower end, forming an asymmetrical distribution that has a long tail to the right.
As such, the mean (average) within these distributions generally surpasses the median in value, with the latter also exceeding the mode.
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Will Mark brainliest.
The values of angle x is 140⁰.
The values of angle y is 108⁰.
What are the values of x and y?
The values of angle x and angle y is calculated by applying intersecting chord theorem.
The intersecting chord theorem states that the angle at tangent is half of the arc angle of the two intersecting chords.
Angle opposite arc 50 = ¹/₂ x 50 = 25⁰
Angle opposite arc 50 = ¹/₂ x 30 = 15⁰
angle x = 180 - (25 + 15) ( sum of angles in a triangle )
x = 140⁰
The value of angle y is calculated as follows;
minor arc = y
major arc = 50 + 30 + 140 = 220⁰
56 = ¹/₂ (220 - y)
2(56) = 220 - y
112 = 220 - y
y = 108⁰
Learn more about chord angles here: brainly.com/question/23732231
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