Here to solve the probability of this sum, it is difficult to say that the probability without no information.
(a)The probability that the team wins the debate with a junior giving the closing argument is 0.083.
(b) To design a simulation to estimate the probability that a sophomore is never selected to give the closing argument in the next 3 debates, one could randomly assign a closing argument speaker for each debate using a table of random digits. The table would have two columns: one for sophomores and one for juniors and seniors. The probability of a sophomore being selected would be 20%, and the probability of a junior or senior being selected would be 80%. The simulation would be run for 3 debates and the number of times a sophomore is never selected would be recorded. This process would be repeated a number of times to estimate the probability of a sophomore never being selected. (e) Based on the dot plot, it appears that there is some evidence that the sophomores were purposely ignored, as there are several simulated sets of 5 debates where a sophomore was not selected to give the closing argument. However, without more information, it is difficult to say for certain if this is enough evidence to support the claim that the sophomores were purposely ignored.
A larger sample size or a more detailed analysis of the simulation results may be needed to make a more convincing determination.
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Whitch equation represents a cricle with the center t(5,-1) and q radius of 16 units
(x - h)^2 + (y - k)^2 = r^2 is the equation for a circle with center (h, k) and radius (r).
What exactly is a math equation?
A mathematical statement that establishes the equality of two mathematical expressions is the definition of an equation in algebra. Consider the equation 3x + 5 = 14, in which the terms 3x + 5 and 14 are separated by the word "equal."
So, an equation that represents a circle with center (5, -1) and radius of 16 units is:
(x - 5)^2 + (y + 1)^2 = 16^2
or
(x - 5)^2 + (y + 1)^2 = 256
The graph of this equation will be a circle centered at the point (5,-1) with a radius of 16 units.
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Relative frequency distributions are generally more useful than frequency distributions when?
Relative frequency distributions are generally more useful than frequency distributions when comparing data sets of the same size.
The frequency (or absolute frequency) of an event in statistics is the number of times the event occurred in an experiment or research. Histograms are frequently used to graphically show these frequencies.
The absolute frequency of an occurrence normalized by the total number of events is referred to as its relative frequency (or empirical probability). A frequency distribution can be created by plotting the values of all events.
A histogram is a graphical representation of tabulated frequencies that is displayed as consecutive rectangles erected at discrete intervals (bins) with an area equal to the frequency of the observations in the interval.
The frequency density of the interval, i.e. the frequency divided by the width of the interval, is also equal to the height of a rectangle.
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If you can't see it zoom in
The SAS congruency is applied here.
Hence,
[tex] \frac{TR}{JK} = \frac{RS}{JL} = \frac{TS}{KL} \\ \frac{24}{x} = \frac{12}{6} = \frac{y}{15} \\ \frac{24}{x} = 2 \\ x = 48 = JK[/tex]
[tex] \frac{y}{15} = 2 \\ y = 30[/tex]
Perimeter =
[tex]6 + 30 + 48 \\ 36 + 48 \\ = 84[/tex]
The speed of light is 3 x 10 8squared m/s. if its frequency is 4.11 x 10 4squared Hz, what is its wavelengeth
Taking into account the definition of wavelength, frecuency and propagation speed, the wavelength of a wave with a frequency of 4.11×10⁴ Hz is 7299.27 m.
WavelengthWavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).
FrequencyFrequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).
Propagation speedThe propagation speed is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.
The propagation speed relate the wavelength (λ) and the frequency (f) using the following equation:
v = f×λ
Wavelengeth in this caseIn this case, you know:
v= 3×10⁸ m/s
f= 4.11×10⁴ Hz
λ= ?
Replacing:
3×10⁸ m/s= 4.11×10⁴ Hz× λ
Solving:
λ= 3×10⁸ m/s ÷ 4.11×10⁴ Hz
λ=7299.27 m
In summary, the wavelength of the wave is 7299.27 m.
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help it s due tomorrow!!!! PLS!! I don't want to fail
The two rational numbers that result in the lowest product are given as follows:
18.5 and -12.4.
How to obtain the lowest product?For the product of two rational numbers, we have that their signal is given as follows:
Negative: different signals.Positive: equal signals.For the lowest product, we want a negative number, with the highest absolute value, hence we take the lowest negative and highest positive, as follows:
18.5 and -12.4.
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Here is a number pyramid puzzle.
Each number is the product of the two numbers directly below it.
Complete the pyramid.
Complete the pyramid with the corresponding values
How to complete the pyramid?
Since each number is the product of the two numbers directly below it. Then the pyramid can be completed as follows:
Check the attached image for labeling.
j = -1 × -1 = 1
h = -2 × j = -2 × 1 = -2
y = h × -1 = -2 × -1 = 2
j × n = -1
1 × n = -1
n = -1
n × m = 2
-1 × m = 2
m = -2
w = -1 × 2 = -2
t = y × w = 2 × -2 = -4
-1 × k = n
-1 × k = -1
k = 1
k × l = m
1 × l = -2
l = -2
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The potential energy, P, in a spring is represented using the formula P = A equals StartFraction one-half EndFraction b h.kx2. Lupe uses an equivalent equation, which is solved for k, to determine the answers to her homework.
Which equation should she use?
k = 2Px2
k = k equals StartFraction one-half EndFraction P x squared.Px2
k = k equals StartFraction 2 P Over x squared EndFraction.
k = k equals StartFraction P Over 2 x squared EndFraction.
She should use the equation k = P/x². The correct answer would be an option (D).
What is the equation?The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.
The potential energy, P, in spring is represented using the formula, as follows:
P = kx²
Solve for variable k and we get the equation:
k = P/x²
When we compare this equation to the provided possibilities, we can easily see that it corresponds to the last option.
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equation=
ordered pair=(3,-4)
Slope(m)=
y-intercept=2
The equation of the line, given the ordered pair and the y - intercept, is y = -2 x + 2
The slope ( m ) is - 2
How to find the equation ?The equation for a linear model takes the form :
y = mx + b
m = slope
b = y - intercept
As we have the ordered pair, and the y - intercept, we can find the slope:
y = mx + b
- 4 = 3 x slope + 2
3 x slope = - 4 - 2
Slope = - 6 / 3
Slope = - 2
The equation is therefore:
y = -2 x + 2
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it's election day for a student organization. if a president and vice-president are elected, how many different combinations can be made among six people?
30 different combinations can be made among six people.
The total number of arrangements is called Permutations.
According to the question,
There are 6 members to choose from.
And there are 2 posts to be filled. i.e, President, Vice-President.
Let's assume each position is a blank. Here each blank represents a placeholder.
The first position can be filled in 6 ways (because any one of the students can get that position)
The second position can be filled in 5 ways (as one person already got the first position, he can't get the second position).
The total number of ways all three positions can be filled in
= 6 * 5 = 30
So, the total number of ways in the combination = 30.
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If the neighborhood holds 13 total games and all 50 athletes participate, how many 6-player games and how many 2-player games are played?
Write a system of equations to represent this situation.
Equation for "There are 50 athletes signed up for a neighborhood basketball competition. Players can select to play in the 6-player games ("3 on 3") or the 2-player games ("1 on 1").
Equation for "If the neighborhood holds 13 total games and all 50 athletes participate"
How many 6 player games?
How many 2 player games?
13 points
The total 7 two-player games and 6 six-player games were played.
Here the total games = 13
And the total number of athletes participated = 50
Let us assume that x represents the total 2-player games played and y represents the total 6-player games played.
The neighborhood holds 13 total games.
So, we get an equation,
x + y = 13 ................(1)
There are 50 athletes signed up for a neighborhood basketball competition.
So, we get an equation,
2x + 6y = 50 .............(2)
From equation (1)
x = 13 - y ..........(3)
substitute above value of x in equation (2)
2(13 - y) + 6y = 50
26 - 2y + 6y = 50
4y = 24
y = 6
Substitute above value of y in equation (3)
x = 13 - 6
x = 7
Thus, we can conclude that the total 7 two-player games and 6 six-player games were played.
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help pls, i have one topic left in aleks
If the force is changed to 50N, the acceleration of the object becomes 10m/s²
How to determine the valueFrom the information given, we have that force is directly varies as the acceleration.
Given that;
F represents forcea represents the accelerationThis is represented as;
F ∝ a
Then, the constant is
F= ka
Now, make 'k' the subject of the formula, we get;
k = F/a
substitute the values to determine the value of k
k = 40/8 = 5
If the value of the force, F of the object changes to 50N, then the acceleration is given as;
a = F/k
Substitute the values into the formula
a = 50/5
Divide the values
a = 10m/s²
Hence, the value is a = 10m/s²
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A jet takes off at a 15 degree angle of elevation. The jet’s air speed is 300 ft/sec.
What is the horizontal distance that the jet has traveled in 10 seconds? What is the jet’s altitude at this time?
The horizontal distance that the jet has traveled in 10 seconds will be 3000feet and the jet’s altitude at this time is 6.44 minutes
Given: A plane flies off at a 15-degree angle and 350 feet per second.
Find The time needed to ascend to a height of 35,000 feet.
Imagine a right triangle with a 15-degree angle at the origin at Q1.
The plane's flight route is the hypotenuse.
speed = distance/time
speed * time = distance
distance = 300*10 = 3000feet
Sin(15) = opposite / hypotenuse
Sin(15) = 35000 / (350*t)
350*t = 35000 / Sin(15)
t = 35000 / (350 * Sin(15)
t = 100 / Sin(15)
t = 100 / .25882
t = 386.37 seconds
t = (386.37 sec) * (1 min. / 60 sec) = 6.44 minutes
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Explain in words how the method for solving equations with fractional or decimal
coefficients and constants compare with the method for solving
The approach used to solve equations with integer coefficients & constants can also be used to solve equations with fractional / decimal coefficients and constants.
What is equation?An equation is a mathematical statement that expresses the equality of two expressions. It is a relationship between two or more variables, such as x + y = z. Equations are used to solve a wide variety of problems in mathematics, physics, chemistry, engineering and other scientific fields.
The main difference is that when solving equations with fractional or decimal coefficients and constants. For example, if you have an equation with a decimal coefficient, divide both sides by the coefficient to make the coefficient 1 before you can use the same steps to solve the equation.
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parallel to the line y =-3x + 5; passes through (-4,5)
Answer:
Step-by-step explanation:
ham 3.45x
Suppose the first class in a frequency table of quantitative data is 0-4 and the second class is 5-9. What is the class midpoint of the first class
The class midpoint of the first class in the case of table of quantitative data is 0-4 and the second class is 5-9 is 2.5
When you want to make a histogram to see the values in a frequency table, you frequently use class midpoints.A histogram shows the classes along the graph's x-axis while using bars to show how frequently each class occurs along the y-axis. At the midpoint of each class, each bar is centered.When you want to make a histogram to see the values in a frequency table, you frequently use class midpoints. A histogram shows the classes along the graph's x-axis while using bars to show how frequently each class occurs along the y-axis. At the midpoint of each class, each bar is centered.To know more about midpoint here
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Lauren and Shayla have ½ pound of Skittles. They want to share the Skittles between themselves and 2 friends.
How many pounds of Skittles will each of them receive?
Using division we know that each person will have 1/4 pound of Skittles.
What is division?In mathematics, the division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed.
For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.
The division sign, "," or occasionally "/," is used in computer code.
So, we know that:
Lauren and Shayla have 1/2 pound of Skittles
They will share it with 2 more people.
Then, each will have:
(1/2)/2
1/2 / 2
1/2 * 1/2
1/4
Therefore, using division we know that each person will have 1/4 pound of Skittles.
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What is the probability that Andre, Olivia, and Zach all win gift cards that are at least $25?
The probability that Andre, Olivia, and Zach all win gift cards that are at least $25 is 0.
Since the value of the gift cards is determined by chance, it is impossible to calculate the probability of this exact outcome. Instead, we can calculate the probability of any one person winning a gift card that is at least $25, which is 0.5.
The probability of them all winning would be the product of the individual probabilities, which is 0.5 x 0.5 x 0.5 = 0.125. However, since this is impossible, the probability of this exact outcome is 0.
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exercise 4. exercise 2 on page 65 on the textbook. suppose the world population today is 7 billion, and suppose this population grows at a constant rate of 3% per year from now on. (a) what would be population equal 100 years from now? (b) compute the level of population for t
Answer: A: what would be population equal 100 years from now?
Step-by-step explanation: I hope this helps!
Marshawn ran with the football for a 24 yard gain.
Given that 1 yard = 3 feet, enter the distance Marshawn ran in feet.
Square 1 ABDC square 2 FGEH. AD= 18 DC=12 FE= 15 how do I find the square factor?
Using the similarity rectangle theorem, the value of FG is approx 23.
We determine the value of FG using the using the similar rectangle theorem.
Two rectangles must have proportional sides in order for them to be identical (form equal ratios). The two shorter sides should be proportionately equal to the two longer sides.
The rectangle ABCD and FGEH are both have same shape.
As we know that the rectangle same two sides equal. So
FG/EF = AD/DC
FG/15 = 18/12
Multiply by 15 on both side, we get
FG = 18/12 * 15
FG = 3/2 * 15
FG = 22.5
FG = 23 (approx)
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The complete question is:
Square 1 ABDC square 2 FGEH. AD= 18 DC=12 FE= 15. How do I find the square factor FG?
Determine whether the data described below are qualitative or quantitative and explain why.
The types of food served by restaurants (Italian, Chinese, fast, etc.) Choose the correct answer below.
A. The data are quantitative because they consist of counts or measurements.
B. The data are quantitative because they don't measure or count anything.
C. The data are qualitative because they don't measure or count anything.
D. The data are qualitative because they consist of
As per the statement the data are qualitative because they don't measure or count anything.
The term measurement in math is known as the process of associating numbers with physical quantities and phenomena.
Here we have the statement the types of food served by restaurants Italian, Chinese, fast, etc.
As we looking into the statement we have identified that the statement is defines the characteristics of the restaurant which is also defines that there is no value for counting in it.
So, this refers the quality of the product instead of quantity.
Which also defined that there is no measurement value in it.
Therefore, the correct option is (c).
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Joe deposits $500 in an account
with 3% interest compounded
quarterly for a period of 5 years.
What expression would you type
into the calculator to calculate the
total amount of money Joe will
have after the 5 year period?
500 e(-03)(5)
500(1+.03)4(5)
500(1+3)5
500(1+.03/4)(4)(5)
Answer:
D) 500(1 +.03/4)^(4(5))
Step-by-step explanation:
You want to know the expression you would input to a calculator to find the money Joe will have in his account from a $500 deposit earning 3% interest compounded quarterly for 5 years.
Account valueThe value of the account is given by the formula ...
A = P(1 +r/n)^(n·t)
where P is the principal invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.
Filling in the given values, you would want your calculator to evaluate ...
500(1 +.03/4)^(4(5)) . . . . . . . matches choice D
__
Additional comment
The attachment shows a couple of different calculator inputs that could be used to find the account value. Note that the product (4)(5) is the exponent of the base (1 +.03/4). This calculator uses the caret (^) key to open the exponent expression.
The calculator also has a "future value" function that will compute the same result.
The value in the account will be $580.59.
<95141404393>
A car is 150 inches long. A truck is 75% longer than the car. How long is the truck?
Answer:
Hi, my name is Za'Riah! I will gladly help you with your problem. (see explanation)
Step-by-step explanation:
There really isn't much to explain or step out with this problem.
60% of 150 is 90
150 + 90 = 240 inches
The truck is 240 inches long.
Answer:
240
What is the value of x?
x = 1
Answer:
-----------
3x + 1 = 4x
4x = 3x + 1
4x - 3x = + 1
x = 1
Is w = 6 a solution to the inequality below?
8 > W
W = 6 is a solution to the inequality.
Solutions of an inequality expression:In mathematics, Inequality is an unequal comparison between two or more algebraic terms or expressions. The solution of an inequality is a numerical value that will satisfy the given expression.
The signs that we use in Inequality expression are
'>' - greater than
'<' - less than
'≥' - greater than or equal to
'≤' - less than or equal to
Here we have
Inequality 8 > W
Where the symbol '>' less than indicates 8 is greater than W
or the value of W is less than 8
As we can see that 6 < 8
Therefore,
W = 6 is a solution to the inequality.
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The drama club holds a cast party at a local cafe.All 12 of the cafes tables are used to full capacity.Small tables seat 2 people and large tables seat 4 people.How many tables of each size are there?
With the help of algebraic expression, there were 8 small tables and 4 large tables in the local cafe.
What is algebraic expression?Algebraic expressions serve as the mathematical statement when operations such as addition, subtraction, multiplication, division, etc. are performed on variables and constants. Let's imagine that while playing with matchsticks, James and Natalie came up with the idea to arrange the sticks into patterns that represented numbers.
James drew a four in the air with four matchsticks. Natalie was able to make a pattern with two 4s by putting three more matchsticks on the board. They realised they could proceed to add three matchsticks each round until they had a total of four. This led them to the conclusion that, in general, 4+ 3(n-1) sticks are needed to make a pattern with n numbers of 4s. This sentence makes reference to the algebraic expression 4+ 3(n-1).
The total no. of tables are 32
Let x be the no. of Small tables = 2x
And y be the no. of Large tables = 4y
Total no. of tables = 12
2x + 4y = 32
And
x + y = 12
x = 12 - y
Putting the value of x in first equation
2(12 - y) + 4y = 32
24 - 2y + 4y = 32
4y - 2y = 32 - 24
2y = 8
y = 4
And Putting the value of y in 2nd equation
x = 12 - (4)
x = 8
Thus, With the help of algebraic expression, there were 8 small tables and 4 large tables in the local cafe.
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Write an equation in point slope form for the line that passes through (-4, 3) and whose slope is 3.
An equation in point slope form for the line that passes through (-4, 3) and whose slope is 3 is equal to y - 3 = 3(x + 4).
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represents the data points.m represents the slope.Next, we would determine the linear equation representing the line which passes through the points (-4, 3) and has a slope of 3 by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 3 = 3(x - (-4))
y - 3 = 3(x + 4)
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what is the relationship between the singular values of a and the eigen- values of aat ? what about at a?
The eigenvectors of AAH are called the left-singular vectors of A and the eigenvectors of AHA are the right-singular vectors of A . They are called this way because of their use in singular value decomposition. Say A=UΣVH , then the columns of U are the left-singular vectors and the columns of V are right-singular vectors.
We know that the non-zero eigenvalues of AAH and AHA are the same, they are the squares of the singular values of A . A singular of value of A is a value σ such that Av=σu AHu=σv where u is a left-singular vector and vs a right-singular vector. This can be taken as the definition of singular value, left-singular vector (which is an eigenvector of AAH) and right-singular vector (which is an eigenvector of AHA).the left-singular and right-singular vector pair works with AAH and AHA
AAHu=σAv=σ2u
AHAv=σAHu=σ2v
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Q: What is the relationship between the eigenvectors of AAT and ATA?
What is the domain and range
Answer:
Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The domain of a function is the set of values that we are allowed to plug into our function. While a functions range, is the set of values that the function can take.
To be more precise, he domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
A relation's domain can also be discussed, where one element in the domain may be mapped to more than one element in the range.
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what is the measure of the acute angle formed by the hands of a clock at $4:20$ a.m.? express your answer as number of degrees.
The acute angle formed by the hands of a clock at 4:20a.m is 10°.
For the minute hand, we can compute that, for its every move, it covers 6 degrees. And for the hour hand, each move covers 30 degrees.
A clock is a circle, and a circle always contains 360 degrees. Since there are 60 minutes on a clock, each minute mark is 6 degrees.
The angle between the hour's hand and the minute hand when the clock shows 4:20 pm can be calculated by using the formula:
Angle=|11/2 M-30H|
where M= minute H= hour's
Here M=20 H=4
Therefore we get the angle |11/2(20)- 30*4|=|110-120|=|-10°|=10°
Hence, 10° is the correct answer.
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