Adding a score of 15 to the team would have the following effects on the mean and median scores:
The mean score would increase:
When a score of 15 is added to the existing scores, the sum of all scores would increase.Consequently, the mean score, which is calculated by dividing the sum of scores by the number of team members, would increase as well.The median score may or may not change:
The median score represents the middle value when the scores are arranged in ascending or descending order. If the team initially had an odd number of members, the median score would remain unchanged because adding 15 does not alter the middle value. However, if the team initially had an even number of members and the median score was one of the middle values, adding 15 could potentially change the median score. This would depend on whether the new score of 15 falls within the range of the previous middle values or exceeds them.For such more questions on score
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5/6x=15 what is the answer for x?
Answer:
x=18
Step-by-step explanation:
5/6x=15
5x=90 (both side divide 5 )
x=18
Let k ? R and f(x, y-x2 + y2 + kxy. If you imagine the graph changing as k increases, at what values of k does the shape of the graph change qualitatively? Justify your answer.
The shape of the graph changes qualitatively at k = ± 2 and
\(k=\sqrt{(2)\).
The given function is f(x,y) = y-x²+y²+kxy.
The critical points of the function are found by taking the partial derivatives and equating them to zero:
∂f/∂x = -2x + ky = 0
y = 2x/k
∂f/∂y = 2y + kx = 0
y = -kx/2
Substituting y from the first equation into the second equation gives
x = k²x/4, so k² = 4 and k = ± 2.
Therefore, the critical points are (0,0), (2,4), and (-2,4)
We will now examine the critical points to see when the shape of the graph changes qualitatively.
There are two cases to consider:
Case 1: (0,0)At (0,0), the Hessian matrix is
H = [∂²f/∂x² ∂²f/∂x∂y;∂²f/∂y∂x ∂²f/∂y²]
=[ -2 0;0 2].
The determinant of the Hessian matrix is -4, which is negative.
Therefore, (0,0) is a saddle point and the graph changes qualitatively as k increases for all values of k.
Case 2: (±2,4)At (2,4) and (-2,4), the Hessian matrix is
H = [∂²f/∂x² ∂²f/∂x∂y;∂²f/∂y∂x ∂²f/∂y²]
=[ -2k 2k;2k 2].
The determinant of the Hessian matrix is 4k²+8, which is positive when k is greater than √(2).
Therefore, the critical points (2,4) and (-2,4) are local minima when
k > √(2).
Thus, the shape of the graph changes qualitatively at k = ± 2 and
k = √(2).
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What is the solution to this using substitution method pls show ur work
Answer:
x=-6, y=0
Step-by-step explanation:
Use the 3x-9y=-18 equation and add 9y to both sides to have 3x on its own on the left side. Then, divide by 3 on both sides. Then you'll have x=-6+3y. Plus this back into the 5x+4y=-30 equation and you'll get 5(-6+3y)+4y=-30. Use the distributive property and you'll get -30+15y+4y=-30. Simplify and get -30+19y=-30, then add 30 to both sides and you'll get 19y=0. Divide by 19 on both sides and you'll get y=0. Now that we know y=0, plug that back into the 5x+4y=-30 equation, and you'll get 5x+4(0)=-30. Simplify and you'll get 5x=-30. Divide by 5 on both sides and you'll get x=-6.
Which expression represents “7 more than x”?
7x
7 + x
x – 7
x ÷ 7
Answer:
7+x this is the answer ok
Graph the inequality below on the number line. a>3
Answer:
I don't understand wdym
Step-by-step explanation:
i really need to know this im 2 days behind on math cause of family issues
Answer: The last graph
Quartiles, mean and medians all match up
Is a system with impulse response g(t, t) = e-2|t|^-|t| for t≥T BIBO stable? How about g(t, t) = sint(e-(-)) cost?
The system with impulse response g(t, t) = e^(-2|t|^-|t|) is not BIBO stable, while the system with impulse response g(t, t) = sin(t)e^(-(-t^2)) is BIBO stable.
To determine if a system is BIBO (Bounded-Input Bounded-Output) stable, we need to analyze the impulse response of the system.
For the first system with impulse response g(t, t) = e^(-2|t|^-|t|), let's examine its behavior. The function e^(-2|t|^-|t|) decays rapidly as |t| increases. However, it does not decay fast enough to satisfy the condition for BIBO stability, which requires the integral of |g(t, t)| over the entire time axis to be finite. Since the integral of e^(-2|t|^-|t|) diverges, the first system is not BIBO stable.
For the second system with impulse response g(t, t) = sin(t)e^(-(-t^2)), the term e^(-(-t^2)) represents a Gaussian function that decays exponentially. The sinusoidal term sin(t) can oscillate, but it is bounded between -1 and 1. As the exponential decay ensures that the impulse response is bounded, the second system is BIBO stable.
In summary, the system with impulse response g(t, t) = e^(-2|t|^-|t|) is not BIBO stable, while the system with impulse response g(t, t) = sin(t)e^(-(-t^2)) is BIBO stable.
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What are not changed after a rotation
Answer: b
Step-by-step explanation:
Choose the most apt description of expected value. The standard deviation of a random variable. The best result you can hope for in an experiment. The median of a random variable. What you should expect to happen in an experiment every time. The long-term average outcome of an experiment.
The most apt description of expected value is: The long-term average outcome of an experiment.
Expected value refers to the long-term average outcome of an experiment. It is a mathematical concept that represents the average value of a random variable over an infinite number of trials.
In other words, it is the sum of all possible outcomes of an experiment, weighted by their probability of occurring.
Expected value is a crucial concept in probability theory and statistics, as it helps in predicting the likely outcome of an experiment or event. It is often used in decision-making processes, such as in finance and insurance, to calculate the potential risks and rewards associated with different options.
The other options listed in the question are not correct definitions of expected value. The standard deviation is a measure of the variability or spread of a random variable, while the best result and median are specific values that may or may not be related to the expected value.
What you should expect to happen in an experiment every time may be related to the expected value, but it is not a precise definition.
Overall, expected value is a fundamental concept in probability theory and statistics that represents the long-term average outcome of an experiment or event.
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Just need the answer A, B , C or D
Answer:
A. 2.25 feet.
Explanation:
We know the following equation:
\(v=\sqrt[]{2gh}\)Where v is the speed, g is the gravity and h is the height. So, replacing v by 12 feet per second and g by 32 feet per second square, we get:
\(12=\sqrt[]{2(32)h}\)So, solving for h, we get:
\(\begin{gathered} 12=\sqrt[]{64h} \\ 12^2=(\sqrt[]{64h})^2 \\ 144=64h \\ \frac{144}{64}=\frac{64h}{64} \\ 2.25=h \end{gathered}\)Therefore, the answer is A. 2.25 feet.
If 30% of a number is 60 and 70% of the same number is 140, find 40% of that
Answer:
80? im like 90% sure its 80
Unit 2 logic and proof homework 3 conditional statements
By engaging in these exercises, students can develop a deeper understanding of conditional statements and logical reasoning, which are essential skills for further studies in mathematics and logic.
In Unit 2 of a logic and proof course, homework 3 focuses on conditional statements.
Conditional statements are fundamental concepts in logic and mathematics, representing logical implications between two statements.
They are typically expressed in "if-then" format, where the "if" part is the hypothesis and the "then" part is the conclusion.
The homework may involve tasks such as:
Identifying conditional statements: Students are given a set of statements and asked to identify which ones are conditional statements.
They need to recognize the "if-then" structure and correctly identify the hypothesis and conclusion.
Analyzing the truth value of conditional statements:
Students may be given conditional statements and asked to determine whether they are true or false.
They need to evaluate the hypothesis and conclusion to determine if the implication holds in each case.
Writing converse, inverse, and contrapositive statements:
Students may be required to manipulate given conditional statements to form their converse, inverse, and contrapositive statements.
This involves switching the positions of the hypothesis and conclusion or negating both parts.
Applying the laws of logic:
Students may need to apply logical laws, such as the Law of Detachment or the Law of Modus Tollens, to deduce conclusions based on conditional statements.
Constructing counterexamples:
Students may be asked to provide counterexamples to disprove statements that are falsely claimed to be universally true based on a given conditional statement.
They also help students develop critical thinking and problem-solving abilities, as they have to analyze and manipulate logical structures.
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Erin hiked 5. 6 miles in the morning and 4. 25 mile in the afternoon. Howmany mile did she khike in all
Answer: 9.85 miles in total
Step-by-step explanation:
5.6 + 4.25 = 9.85
Two triangles are congruent if
A. the pictures look the same
B. corresponding sides and corresponding angles are congruent
C. any two sides and any one angle are congruent
D. corresponding angles are congruent
Answer:
B is your answer
Step-by-step explanation:
Suppose that the water level of a river is 32 feet and that it is receding at a rate of 4 feet per day. Write an equation for the water level, y.
after x days. In how many days will the water level be 16 feet?
Select the correct equation and solution (You should pick two answers).
A) y = 4.0 + 32
B) y= -4x +32
C) 4 days
D) 8 days
Answer:
a and 4
Step-by-step explanation:
-11 + 23 = - 2(× + 6)
Plz help i need this
Answer:
perpendicular bisector of a segment
Step-by-step explanation:
When using compass and drawing two arcs, the point the two arcs intersect at a point above and below the line, when connect the two point it forms a perpendicular bisector of a segment
pls help me im really in desperate need thx <3
Answer:
x = 118°Step-by-step explanation:
\(y + {90}^{o} = {180}^{o} \: (interior \: angles) \\ y = {180}^{o} - {90}^{o} \\ y = {90}^{o} \\ \)
Sum of interior angles of a Square is 360°
\(x + (x - {56}^{o} ) + y + {90}^{o} = {360}^{o} \\ x + x - {56}^{o} + {90}^{o} + {90}^{o} = {360}^{o} \\ 2x + {124}^{o} = {360}^{o} \\ 2x = {360}^{o} - {236}^{o} \\ 2x = {236}^{o} \\ x = \frac{ {236}^{o} }{2} \\ x = {118}^{o} \\ \)
Which expression gives the volume of a sphere with radius /?
O A. (7³)
OB. 4(7²)
O C.
(7²)
O D. 4 (7³)
The expression that gives the volume of the Sphere with radius 7 is (4/3)π(7³) , the correct option is (a) .
In the question ,
it is given that
the radius of the sphere is 7 .
we need to find the expression that represents the Volume of the Sphere when radius is 7 .
the formula for the Volume of the Sphere is (4/3)π(r³) .
Substituting the value of radius = 7 , in the formula ,
we get ,
Volume = (4/3)π(7³)
Therefore , The expression that gives the volume of the Sphere with radius 7 is (4/3)π(7³) .
The given question is incomplete , the complete question is
Which expression gives the volume of a sphere with radius 7 ?
(a) (4/3)π(7³)
(b) (4/3)π(7²)
(c) 4π(7²)
(d) 4π(7³)
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3. Simplify:
(x-2/3+y-1/2)6
Answer:
Hello
Step-by-step explanation:
\((x - \frac{2}{3} + y - \frac{1}{2} ) \times 6 = 6 \times x - \frac{2}{3} \times 6 + 6 \times y - \frac{1}{2} \times 6 = 6x - 4 + 6y - 3 = 6x - ( - 7) = 6x + 7\)
Which property is shown? 4b + 3 + 2b + 5 = 4 b + 2b + 3 + 5*
Answer:
it is communitive
Step-by-step explanation:
because the powers or variabled both equal the first and second problem
(the firt and second term problems have to match in answer
Directions: Solve these practice problems.
1) 43.36 - 23.23
2) 75.12 + 20.13
3-12) Create 10 problems of your own and solve them. (5 addition and 5 subtraction)
Answer:
1,20.13
2,54.99
that's the answer to 1 and 2
Please help show work
A 144
B 118
C 72
D 108
Answer:
D 108
Step-by-step explanation:
D + A = 180
72 + A = 180
A = 108
13. The area of the kite is 30 m². What is the value
of x? Explain.
4m
xm
6 m
xm
14.
Answer:
answer is 3
Step-by-step explanation:
What fractional part of one semicircle does the labeled angle represent? Express your answer as a fraction in simplest terms. Then, express the labeled angle in radian measure
The fraction of the labelled angle is: 2/3 of one semicircle.
In radians, it is: 2.0944 rad.
Recall:
One semicircle = 3.1416 radian
One semicircle = 180 degrees
Thus, 120 degrees of a semicircle as a fraction would be:
120/180 = 2/3Therefore, 120 degrees equals 2/3 semicircle.
Convert to radians:
One semicircle = 3.1416 radian
2/3 semicircle = x
Cross multiply\(x = 3.1416 \times \frac{2}{3} \\\\\mathbf{x = 2.0944 $ rad}\)
Therefore, the fraction of the labelled angle is: 2/3 of one semicircle.
In radians, it is: 2.0944 rad.
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Using the fact that cos(52) = 0.6157, find the measure of angle B if sin(B) = 0.6157.
===============================================
Work Shown:
If cos(A) = sin(B), then A+B = 90, where A & B are both acute angles in degree form.
In this case, A = 52, so,
A+B = 90
B = 90-A
B = 90-52
B = 38
Telling us that
cos(A) = cos(52) = 0.6157
sin(B) = sin(38) = 0.6157
cos(52) = sin(38)
Question 1: Joel is making some muffins for a bake sale. Bananas cost $1 per pound and blueberries
cost $3 per pound. He has at most $21 to spend on fruit.
A) Write an inequality to represent the situation. Be sure
to explain what each variable represents
Answer:
Step-by-step explanation:
a. The system of linear inequalities is x + y \geq 3 and 4x + 3y \leq 21.b. The solution is given in the figure.c. The given scenario can happen.
Step-by-step explanation:
Let, I will buy x pounds Blueberries and y pounds Strawberries.
I need to collect at least 3 pounds of fruits.
Hence, x + y \geq 3.
It also given that I can not spend more than $21, that is 4x + 3y \leq 21.
If I will buy 4 pound Blueberries and 1 pound Strawberry, then x = 4 and y = 1.
Now, 4 + 1 = 5 > 3. First inequality is satisfied.
4x + 3y = 4\times4 + 3\times1 = 16 + 3 = 19 \leq 21, Second inequality is also satisfied.
please help me answer this question!! will give brainliest and 5 star rating!!
Find the co-ordinates of the foot of the perpendicular drawn from the point (6, 3) to the line by
segment joining (4,1) and (8,3).
The coordinates of the foot of the perpendicular drawn from the point (6, 3) to the line by segment joining (4,1) and (8,3). is (6.4, 2.2)
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
The equation of the line passing through (4,1) and (8,3) is:
y - 1 = [(3 - 1)/(8 - 4)](x - 4)
y = 0.5x - 1
The line perpendicular to y = 0.5x - 1 has a slope of -2. It passes the point (6, 3), hence:
y - 3 = -2(x - 6)
y = -2x + 15
The line y = 0.5x - 1 and y = -2x + 15 intersect at point (6.4, 2.2)
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A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 21ft long and 14ft wide. If the gardener wants to build a fence around the garden, how many feet of fence are required?
Answer: 70
Step-by-step explanation: 21+21+14+14