a) The percentile rank of a score of 71 on this test is given as follows: 33rd percentile.
b) Victor's score, which is the 60th percentile, is given as follows: 84.
What is a percentile?A measure is said to be in the xth percentile of the data-set if it the bottom separator of the bottom x% of measures of the data-set and the top (100 - x)% of measures, that is, it is greater than x% of the measures of the data-set.
The ordered data-set in this problem is given as follows:
58, 64, 66, 70, 71, 75, 77, 80, 84, 85, 87, 90, 93, 95, 96.
The data-set is composed by 15 scores, and 5 is the 5th score in the data-set, hence the percentile rank of a score of 71 on this test is calculated as follows:
5/15 = 0.33 = 33rd percentile.
The 60th percentile is the score at the position given as follows:
0.6 x 15 = 9th score = 84.
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What is 4y + 3y + 2y?
Answer:
9 wr
Step-by-step explanation:
Answer:
9y
Step-by-step explanation:
4+3+2 then you have to add the (y) next
In a sample of 200 people, 150 said they would vote for Davis. What are the odds against Davis winning the election?
The requried odds against Davis winning the election is 0.33 or 33%.
We can find the odds against Davis winning the election by using the formula:
odds against Davis = (number of people not voting for Davis) / (number of people voting for Davis)
Out of the 200 people, 150 said they would vote for Davis. So the number of people not voting for Davis is:
200 - 150 = 50
Therefore, the odds against Davis winning the election are:
odds against Davis = 50 / 150 = 1/3 or 0.33 (rounded to two decimal places)
This means that for every person who thinks Davis will win, there are three people who think he will lose.
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Consider a basic feasible solution to a linear program. Describe (mathematically) all descent directions and all feasible descent directions from this point (Hint: the null space of a matrix might be useful). Does the simplex method always move in a descent direction?
A basic feasible solution to a linear program refers to a solution that satisfies all the constraints of the problem and lies on one of the extreme points of the feasible region.
To describe all descent directions from this point, we need to consider the gradient of the objective function. A descent direction is any direction along which the objective function decreases. Mathematically, the descent directions can be obtained by considering the null space of the constraint matrix.
The null space of the constraint matrix represents all the directions in which the constraints are satisfied. In other words, any linear combination of the vectors in the null space would not violate any of the constraints. Therefore, these vectors represent feasible descent directions.
However, not all descent directions are feasible descent directions. A feasible descent direction is one that not only decreases the objective function, but also satisfies all the constraints. The feasible descent directions can be obtained by intersecting the null space with the feasible region.
The simplex method, which is commonly used to solve linear programs, does not always move in a descent direction. In some cases, the simplex method may move in a direction that increases the objective function temporarily before eventually finding a better solution. This is because the simplex method explores different vertices of the feasible region in search of the optimal solution.
The descent directions from a basic feasible solution can be obtained by considering the null space of the constraint matrix. Feasible descent directions are those that not only decrease the objective function but also satisfy all the constraints. The simplex method does not always move in a descent direction as it may explore different vertices in search of the optimal solution.
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please help me with this #63
if the marks of students in a class are [110,70,30,80,90,64] then what is the median of these marks?
Answer:
The Median is 75
Step-by-step explanation:
Medianmedian is the middle number in a set of given numbers
arranging in order will be
30,64,70,80,90,110
the middle numbers are 70 and 80
Median=80+70/2
=150/2
Median=75
Lisa ran 1/2 of a mile John R and 242 Mi what's girl ran further
The fraction that has been given illustrates that the person who ran further is Jane.
How to solve fractionYour information isn't complete. Therefore, an overview of the fraction will given.
Let's assume that Lisa ran 1/2 of a mile and Jane ran 3/4 of a mile. In order to know who ran more, you can convert the fraction to percentage.
This will be:
Lisa = 1/2 × 100 = 50%
Jane = 3/4 × 100 = 75%
Therefore, Jane ran more.
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Match the scenarios to the equations.
Answer:
first one is -4+y=20 second is 4+y=-20
Mother gave you 25 pesos every day for your snacks in semtember. You saved 5 pesos per day. How much money will you saved after m days
A board 10 feet long is cut into three pieces. one piece is 1 foot longer than the shortest piece and 2 feet shorter than the longest piece. how long is each piece?
Answer:
3:2:5
Step-by-step explanation:
x+1:x:x+3
x=2
10-4=6/3=2
how many samples of size n=2 can be drawn from this population
The samples of size n = 2 that can be drawn from this population is 28
How many samples of size n=2 can be drawn from this populationFrom the question, we have the following parameters that can be used in our computation:
Population, N = 8
Sample, n = 2
The samples of size n = 2 that can be drawn from this population is calculated as
Sample = N!/(n! * (N - n)!)
substitute the known values in the above equation, so, we have the following representation
Sample = 8!/(2! * 6!)
Evaluate
Sample = 28
Hence, the number of samples is 28
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Complete question
A finite population consists of 8 elements.
10,10,10,10,10,12,18,40
How many samples of size n = 2 can be drawn this population?
(c ) Find the values of x and y in the vector equation (5÷3)+2(x÷y)-(1÷-7)=0
Answer:
y= -21x/19 x≠0
Step-by-step explanation:
(I just reviewed this!) Combined like terms and used Pemdas for Order of Operations. Canceled out -21x with -21 and we know that x is not equal to 0. If you need more help there are some sites like Khan Academy.
Find the complex amplitudes of the following sinusoidal signals. Express your final answer in polar format. 1. v(t) = 21 cos(4t - 15°) V 2. v(t) = -60 cos(30t +10°) V 3. v(t) = 120 sin(10t - 50°) V 4. v(t) = -8 sin(10t + 70°) V
The complex amplitudes are
1. A = 21*e^(-j15°).
2. A = 60*e^(j10°).
3. A = 120*e^(-j50°).
4. A = 8*e^(j70°).
To find the complex amplitudes in polar format, we can express the given sinusoidal signals as complex numbers of the form A*e^(jθ), where A is the magnitude (amplitude) and θ is the phase angle.
1. v(t) = 21 cos(4t - 15°) V:
The complex amplitude is A = 21*e^(-j15°).
2. v(t) = -60 cos(30t + 10°) V:
The complex amplitude is A = 60*e^(j10°).
3. v(t) = 120 sin(10t - 50°) V:
The complex amplitude is A = 120*e^(-j50°).
4. v(t) = -8 sin(10t + 70°) V:
The complex amplitude is A = 8*e^(j70°).
Note: In the polar format, the magnitude A represents the amplitude of the signal, and the angle θ represents the phase shift of the signal. The exponential term e^(jθ) represents a phasor with magnitude 1 and phase angle θ.
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Which of the following represents the diameter of the circle below?
Calculate the area of the triangle? What is the best way to solve it
Answer: Find the the height and length of the triangle. I'm not sure what it would be but then use a1 + a2 to find the area
Answer:
Formula of triangle: A = 1/2 x b x h
Step-by-step explanation:
Solve the base of the triangle by solving the distance between points (-2,0) and (f, -5) in units, and then do the same for height: find distance between points (-2, 6) and (-2, 0). Once you find the distance, input value of base and height into the formula and solve to get the area!
Every morning Jack flips a fair coin ten times. He does this for an entire year. Let X be the number of days when all the flips come out the same way (all heads or all tails). (a) Give the exact expression for the probability P(X > 1).
The probability of P(X > 1) can be shown as the expression \(1 - \sum_{x = 0}^{1} 365Cx(\frac {1} {2^9})^x(1 - \frac {1} {2^9})^{365 - x}\), which has the value, P(X > 1) = 0.160199752.
The number of times Jack flips the coin = 10.
The number of outcome on each flip = 2 {viz. Heads and Tails}.
Thus, the number of outcomes after flipping the coin 10 times = 2¹⁰.
The number of outcomes of getting all heads or tails = 2.
Thus, the probability = 2/2¹⁰ = 1/2⁹.
This can make a binomial distribution when repeated for 365 days, with parameters, n = 365, and p = 1/2⁹, showing P(X = x) as,
P(X = x) = nCx.pˣ.qⁿ ⁻ ˣ, where q = 1 - p.
Thus, we can calculate the probability P(X > 1) as follows:
P(X > 1)
= 1 - P(X ≤ 1)
= \(1 - \sum_{x = 0}^{1} 365Cx(\frac {1} {2^9})^x(1 - \frac {1} {2^9})^{365 - x}\)
= 1 - {365C0.(1/2⁹)⁰.(1 - 1/2⁹)³⁶⁵ + 365C1.(1/2⁹)¹.(1 - 1/2⁹)³⁶⁴}
= 1 - {0.489883478 + 0.34991677}
= 0.160199752.
Thus, the probability of P(X > 1) can be shown as the expression \(1 - \sum_{x = 0}^{1} 365Cx(\frac {1} {2^9})^x(1 - \frac {1} {2^9})^{365 - x}\), which has the value, P(X > 1) = 0.160199752.
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at the beginning of the season the standard deviations (americas newest nfl team) are given odds of winning the superbowl of 20:1 what does it mean
The odds of 20:1 for the Americas Newest NFL team winning the Super Bowl mean that the probability of them winning the Super Bowl is 1/21 or approximately 0.0476.
In betting or gambling terminology, odds of 20:1 indicate the ratio of the likelihood of an event occurring to the likelihood of it not occurring. In this case, the odds of 20:1 for the Americas Newest NFL team winning the Super Bowl mean that for every 20 times they are expected not to win, there is 1 time they are expected to win.
To calculate the probability from odds, you would use the formula:
Probability = 1 / (Odds + 1)
Using this formula, the probability of the Americas Newest NFL team winning the Super Bowl can be calculated as:
Probability = 1 / (20 + 1) = 1/21 ≈ 0.0476
So, the correct interpretation is that based on the odds of 20:1, the probability of the Americas Newest NFL team winning the Super Bowl is approximately 0.0476 or 4.76%.
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i need help with 3 problems.
3(3m-2)=2(3m+3)
7-3r=r-4(2+4)
6.78j-5.2+1.2j=5.53j+2.15
Answer:3(3m−2)=2(3m+3)
Use the distributive property to multiply 3 by 3m−2.
9m−6=2(3m+3)
Use the distributive property to multiply 2 by 3m+3.
9m−6=6m+6
Subtract 6m from both sides.
9m−6−6m=6
Combine 9m and −6m to get 3m.
3m−6=6
Add 6 to both sides.
3m=6+6
Add 6 and 6 to get 12.
3m=12
Step-by-step explanation:
Melanie went into a grocery store and bought 6 peaches and 8 mangos, costing a total of $14.50. Jaya went into the same grocery store and bought 7 peaches and 4 mangos, costing a total of $14.25. Write a system of equations that could be used to determine the price of each peach and the price of each mango. Define the variables that you use to write the system.
Answer:
Mango = 0.5, Peach = 1.75
Step-by-step explanation:
Let x represent the price of mango
Let y represent the price of peach
Melanie: 8x + 6y = 14.50
Jaya: 4x + 7y = 14.25
Isolate for a variable in one of the equations (just pick a random one, you don't have to pick mine)
4x + 7y = 14.25 => x = (14.25 - 7y)/4 = 3.5625 - 7/4y
Plug into other equation
8x + 6y = 14.50
8(3.5625 - 7/4y) + 6y = 14.5
28.5 - 14y + 6y = 14.5
28.5 - 14.5 = 14y - 6y
14 = 8y
y = 1.75
4x + 7y = 14.25
4x + 7(1.75) = 14.25
4x + 12.25 = 14.25
4x = 2
x = 0.5
Determine whether the polygons are always, sometimes, or never similar. Explain your reasoning. (Lesson 7-2)
A right triangle and an isosceles triangle
Given polygons a right triangle and an isosceles triangle sometimes be similar.
As given ,
Given polygons : A right triangle and isosceles triangle.
Polygon a right triangle and isosceles triangle never be similar.
Reason:
A right triangle is a triangle with one of the angle equals to 90 degree.A right triangle can be isosceles if and only if two acute angles are congruent to each other.If a right triangle is isosceles then they are similar.Through the transformation of dilation one can map one triangle onto others.Therefore, given polygons a right triangle and an isosceles triangle sometimes be similar.
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Use two of the number cards to complete the ratios so that they are
equivalent.
3,4,6,12,15
? : 1
? : 3
To make the ratios equivalent, we can use the numbers 3 and 6:
3 : 1 is equivalent to 6 : 3
To complete the ratios and make them equivalent, we need to find two numbers from the given set (3, 4, 6, 12, 15) that can be used to replace the question marks.
Let's start with the first ratio: ? : 1
We need to find a number that, when divided by 1, gives an equivalent ratio. Since any number divided by 1 is itself, we can choose any number from the given set for the first ratio. Let's choose 3 for this example. So, the ratio becomes:
3 : 1
Now, let's move on to the second ratio: ? : 3
Similarly, we need to find a number that, when divided by 3, gives an equivalent ratio. Looking at the given set, we see that 6 is divisible by 3. So, the ratio becomes:
6 : 3
Therefore, to make the ratios equivalent, we can use the numbers 3 and 6:
3 : 1 is equivalent to 6 : 3
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If three quarters of a number decreased by twenty is equal to eighty two, what is that number?
A number is :
\(x\)
_________________________________
Three quarters of it means :
\( \frac{3}{4}x \\ \)
_________________________________
Decrease by 20 means :
\( \frac{3}{4}x - 20 \\ \)
_________________________________
Equals to 82 means :
\( \frac{3}{4}x - 20 = 82 \\ \)
_________________________________
What is that number ?
x asked so we must solve the above equation for x.
Let's do it....
\( \frac{3}{4}x - 20 = 82 \\ \)
Plus sides 20
\( \frac{3}{4}x = 82 + 20 \\ \)
\( \frac{3}{4}x = 102 \\ \)
Multiply sides by 4
\(3x = 102 \times 4\)
Divided sides by 3
\(x = \frac{102 \times 4}{3} \\ \)
\(x = \frac{102}{3} \times 4 \\ \)
Simplify
\(x = 34 \times 4\)
\(x = 136\)
So that number is 136 .
_________________________________
And we're done.
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Ayer, la temperatura al mediodía era de 11.4 ° F. A medianoche, la temperatura había bajado 15,7 grados. ¿Cuál era la temperatura a la medianoche?
Answer: -4.3° F
------------------------------
Condense the following logarithm:
\(5 log_{4}(a) - 6 log_{4}(b) \)
log 4 ( a^5 ) - log 4 ( b^6 ) =
log 4 ( a^5 / b^6 )
the midpoint of AB is M(−3,2). If the coordinates of A are−7,1), what are the coordinates of B?
answer pls
Answer:
B = (1,3)
Step-by-step explanation:
(- 7 + x)/2 = -3
-7 + x= -3 * 2
x = -6 + 7
x = 1
(1 + y)/2 = 2
1 + y = 2*2
y = 4 - 1
y = 3
alfred and bonnie play a game in which they take turns tossing a fair coin. the winner of a game is the first person to obtain a head. alfred and bonnie play this game several times with the stipulation that the loser of a game goes first in the next game. suppose that alfred goes first in the first game, and that the probability that he wins the sixth game is m n , where m and n are relatively prime positive integers. what are the last three digits of m n ? (1993,
So, the last three digits of m*n is 001.
Let p be the probability that Alfred wins given that he goes first. Then, the probability that Bonnie wins given that she goes first is 1-p. Therefore, the probability that Alfred wins the second game given that Bonnie went first in the first game is 1-p. Similarly, the probability that Alfred wins the third game given that he went first in the second game is p, and so on.
Therefore, the probability that Alfred wins the sixth game given that he went first in the first game is:
p(1-p)(1-p)(p)(p)(p) = p^4 (1-p)^2
Since m and n are relatively prime, the last three digits of m*n are the last three digits of p^4 * (1-p)^2, which is the last three digits of p^4 and the last three digits of (1-p)^2. Since p is the probability of winning given that you go first, it is a number between 0 and 1. Therefore, the last three digits of p^4 and (1-p)^2 are 001, resulting in the last three digits of the final answer being 001.
Therefore, the last three digits of m*n is 001.
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Please help I will make you the brainiest (please no link people)
Answer:
Solution,
Radius(r)=6 cm
Height(h)=20 cm
Volume of cylinder= pi (r)^2 h
=3.14*(6)^2*20
=3.14*36*20
=2260.8 cm^3
Hope it helps
Good luck on your assignment
Pedro ordered a 6 footlong sub sandwich and plans to share it with his friends. If each portion is divided evenly in 3/5 of a foot, how many friends will Pedro share his sandwich with?
Answer:
10
Step-by-step explanation:
You would divide 6 feet by 3/5 of a foot would would be .6 so 6/.6 would be 10Ms. Russell has 7 students in her
kinder class. She gave an equal amount
of candy to each student. Each student
received 23 pieces of candy. Write an
expression or equation to show how you
can determine the total amount of candy
Ms. Russell gave to her students
The expression which describes the total number of candies distributed to the students is given by xy.
The total amount of candy that each student received from Ms. Russell would be given as the product of the candies that each student received with the total number of students who were present in the class. Hence, the multiplication method can help in the determination of the total number of candies easily.
Total number of students in the class of Ms. Russell = x students
x = 7 students
Number of candies that each student received = y candies
y = 23 candies
Total number of candies distributed to all the students = xy
Therefore, the Total number of candies distributed to all the students = 23×7 = 161 candies
Thus, all the students together received 161 candies from their teacher.
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If f(x)= x² (x≠2), then lim f(x) =4? Can I think of this as ignoring the x≠2 rule?
x→2
Answer: No, the statement "if f(x)= x² (x≠2), then lim f(x) =4" is not correct. The limit of a function is a value that the function approaches as the input (in this case, x) gets closer and closer to some specific number. In this case, the limit of f(x) as x approaches 2 would be 4, since f(x)=x² for all values of x other than 2. However, if you ignore the x≠2 restriction and consider all values of x, then the limit of f(x) as x approaches 2 would be undefined, since f(x)=4 for x=2.
Step-by-step explanation:
I need help with 15, 16, 17, and 18 please
Answer:
y = 2x + 2
Explanation:
We can use the following equation to write an equation in slope-intercept form.
\(y-y_1=m(x-x_1)\)Where (x1, y1) is a point in the line and m is the slope. Additionally, the slope can be calculated as:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Where (x2, y2) is another point in the line.
So, replacing (x1, y1) by (0, 2) and (x2, y2) by (3, 8), we get that the slope is equal to:
\(m=\frac{8-2}{3-0}=\frac{6}{3}=2\)Finally, replacing m by 2 and (x1, y1) by (0, 2), we get:
\(\begin{gathered} y-2=2(x-0) \\ y-2=2x \\ y-2+2=2x+2 \\ y=2x+2 \end{gathered}\)Therefore, the equation in slope-intercept form is:
y = 2x + 2