which of the measures of central tendency must be an actual piece of data in the distribution?
Answers
Among the measures of central tendency (mean, median, mode), the median must be an actual piece of data in the distribution.
The median is the middle value of a dataset when it is arranged in ascending or descending order. It represents the value that divides the dataset into two equal halves. Since it is based on the actual data points, the median must be one of the actual values in the distribution.
In contrast, the mean is calculated by summing all the data points and dividing by the total number of data points.
The mode represents the most frequently occurring value(s) in the dataset. These measures do not necessarily have to correspond to actual data points in the distribution.
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Related Questions
At Super Grocery, strawberries cost $3.00 for 2 pounds. At Value Market, strawberries cost $4.00 for 3 pounds. Which store has a better value for strawberries?
Answers
Answer: Value Market has the better value for strawberries
Step-by-step explanation: Value Market sells them for 1.3 for 1 pound.
Answer: Uhhhhh
Step-by-step explanation:
Value market has a better value
7+5x=-3
solve for x.
Answers
TRUE/FALSE. a plaintiff who sues on the basis of disparate-treatment discrimination in hiring must make out a prima facie case of illegal discrimination, and will win in the absence of a legally acceptable employer defense.
Answers
A plaintiff who sues on the basis of disparate-treatment discrimination in hiring must make out a prima facie case of illegal discrimination and will win in the absence of a legally acceptable employer defense. True
Disparate treatment discrimination refers to the form of discrimination from an employer who blatantly treats an employee, or a potential employee differently based on the individual’s race, religion, color, sex, national origin, etc. It is intentional employment discrimination. A plaintiff who sues on the basis of disparate-treatment discrimination in hiring must make out a prima facie case. Prima facie case refers to a cause of action or defense that is sufficiently established by a party's evidence to justify a verdict in their favor, provided such evidence is not rebutted by the other party. The facts of the case are assumed to be true unless contradicted by evidence, hence if the plaintiff has produced sufficient evidence of their claim that the case will be decided for the plaintiff unless the defendant produces evidence to rebut it. To establish prima facie case, the plaintiff must be a member of the a protected class, must have applied and was qualified for the job in question, was rejected by the employer, and employer continued to seek applicants for the position or filled the position with a person not in a protected class. If plaintiff establishes all of this, burden now falls on employer as they must then prove their reasoning.
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It is known that 2x-3/x = x + 1 What is the value of x^2 -x + 3
Answers
The value of the equation x² - x + 3 is 37/9.
We have,
We can start by multiplying both sides of the equation by x:
2x - 3/x = x + 1
2x - 3 = x^2 + x
Rearranging and simplifying, we get:
x^2 - x + 3 = (2x - 3) + x^2
x^2 - x + 3 = x^2 + 2x - 3
-x + 3 = 2x - 3
5 = 3x
x = 5/3
Now we can substitute x into the equation x^2 - x + 3:
x^2 - x + 3 = (5/3)^2 - 5/3 + 3
x^2 - x + 3 = 25/9 - 15/9 + 27/9
x^2 - x + 3 = 37/9
Therefore,
The value of x² - x + 3 is 37/9.
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in college basketball, some teams get most of their points from just one player, and other teams are more balanced in scoring. consider the following facts about the scoring distributions for some ncaa division i basketball teams. each team has 121212 players. at baylor university, there are 666 players who each score 121212 points per game, and there are 666 players who each score 000 points per game. at the university of maryland, 111 player scores 585858 points per game, 111 player scores 141414 points per game, and the rest of the players score 000 points per game. at dartmouth college, 444 players score 555 points per game, 444 players score 666 points per game, and 444 players score 777 points per game.
Answers
At Maryland, the mean number of points per player per game is greater than the median number of points per player per game. The mean number of points per player per game is the same at all 3 schools.
Given that in Baylor's University that there are 6 players who each score 12 points per game, and 6 players who each score 0 points per game.
The scores are 0, 0, 0, 0, 0, 0, 12, 12, 12, 12, 12, 12.
Mean = Sum/Count = 72/12 = 6.
Median is the average between the nth and (n+1)th term.
(0+ 12)/2 = 6
In Maryland university 1 player scores 58 points per game, 1 player scores 14 points per game, and the rest of the 10 score 0 points per game,
58, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
Mean = Sum/Count = 72/12 = 6.
Median is 0
In Dartmouth, university, 4 players score 5 points per game, 4 players score 6 points per game, 4 players score 7 points per game.
The scores are
5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7
Mean = Sum/Count = 72/12 = 6
Median =(6+6)/2= 6
At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.
The mean number of points per player per game is the same at all 3 schools.
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jim baked sugar cookies and peanut butter cookies he baked 8 sugar cookies and 3 times as many peanut butter cookies. what is the total number of cookies that jim baked?
Answers
Answer: 32 cookies
Step-by-step explanation:
8 times 3 is 24
24+8=32 cookies
A mountain biker gets halfway up a hill and realizes he forgot his water, so he returns to his starting point
Answers
Step-by-step explanation:
The mountain bike goes back down the hill to get his water bottle
Answer:
True
Explanation:
1/2 (up the hill) - 1/2 (down the hill) = 0
I need help with 9-11. I really don’t understand this, please help me!!!
Answers
Step-by-step explanation:
9.
we get the extreme values of y (a function) by finding the zeroes of the first derivative (that gives us the x-positions) and then using these x values in the original function.
a quadratic function has only one extreme value (1 less than the degree of the polynomial). but 2 zeroes (exactly the degree of the polynomial) - don't mix these two things up.
as the leading coefficient is positive (1), we know that the parabola is opening upwards, and the extreme value will be the vertex and therefore the minimum.
y = (x + 4)² + 6
y = x² + 8x + 16 + 6 = x² + 8x + 22
y' = 2x + 8
2x + 8 = 0
2x = -8
x = -4
(-4 + 4)² + 6 = 0² + 6 = 6
the smallest possible value of y = 6 (at x = -4).
10.
the intercept form of a parabola equation is
y = a(x - p)(x - q)
p and q are the x-intercept values.
in our case we see p = -3, q = 3.
also, we see the vertex being (0, 9), which we need to get "a".
y = a(x - -3)(x - 3) = a(x + 3)(x - 3)
using the vertex coordinates to get a :
9 = a(0 + 3)(0 - 3) = -9a
a = 9/-9 = -1
so, the quadratic equation is
y = -(x + 3)(x - 3) = -(x² - 9) = -x² + 9
11.
I assume the thinking here is : the flight curve of every falling object is a parabola.
the vertex of this parabola is (0, 36), as x represents the time in seconds, and y represents the height in ft.
the vertex form of a parabola is
y = a(x - h)² + k
with (h, k) being the vertex.
y = a(x - 0)² + 36 = ax² + 36
a must be negative, as the fall parabola opens downwards.
for typical fall situations on Earth a = -g/2 ≈ -16 (g being the gravity constant of 32.17405... ft/s²).
so, we have
y = -16x² + 36
for what x is y = 0 ?
0 = -16x² + 36
16x² = 36
x² = 36/16 = 9/4
x = 3/2 = 1.5
the coin hits the water after 1.5 seconds.
Rewrite one eighteenthx3y + seven eighteenthsxy2 using a common factor.
one thirdxy(6x2 + 7y)
one thirdx2y(6x2 + 9y)
one eighteenthxy(x2 + 7y)
one eighteenthx3y2(y + 7)
Answers
Answer:
C
Step-by-step explanation:
1/18 x³y + 7/18 xy²
1/18 xy (x² + 7y)
1) When determining the mathematics content and learning goals for a lesson, the teacher should do all of the following EXCEPT:
A) Consult his or her state's curriculum standards.
B) Ask, "What is it my students should be able to do at the end of this lesson?"
C) Plan goals that will take no longer than a day for students to accomplish.
D) Be sure to focus on the mathematics, rather than just the activity.
Answers
1) Number sense, arithmetic operations, algebra, geometry, data analysis, and probability are some of the topics that are commonly covered in math classes.
The need of developing problem-solving and procedural fluency skills is underlined. To ensure they have a solid basis for future learning, students may also receive training on arithmetic concepts they missed in earlier grades.
2) The use of real-world issues, direct education, cooperative learning, and the use of technology to aid learning are some particular methods of mathematical instruction that are encouraged.
Additionally, emphasis is placed on encouraging a growth mentality and a positive attitude toward mathematics.
3) Direct instruction, visual aids like graphs and diagrams, manipulatives and hands-on activities, scaffolding, and systematic review and practice are some specific techniques used to teach fundamental mathematical instruction.
In order to promote critical thinking and the growth of students' problem-solving abilities, teachers may also employ questioning strategies.
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as we go to high numbers of segments, if we double the number if segments in composite rectangle rule integration, we expect the error to be multiplied by approximately what? group of answer choices 1/2 1/4 2 4
Answers
As we go to high numbers of segments, if we double the number of segments, the error is to be multiplied by 1/4
The inaccuracy should often reduce as we increase the number of segments in the composite rectangle rule integration. In particular, with the composite rectangle rule, we estimate the error to be roughly increased by 1/4 if the number of segments is ideally doubled.
Because of this, the composite rectangle rule's error, which is determined by the formula (b-a)/n. In the given equation, b denotes upper bound of integration, a denotes lower bound of integration, and n denotes total number of segments, which is inversely proportional to the width of the segments. The width of the segments changes to (b-a)/(2n), which is half of their initial width, when the number of segments is doubled. Thus, the mistake should be multiplied by 1/4 or split by 4.
Complete Question:
As we go to high numbers of segments, if we double the number if segments in composite rectangle rule integration, we expect the error to be multiplied by approximately what?
a. 1/2
b. 1/4
c. 2
d. 4
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Tiana works at her family's restaurant on the weekends, Her stepfather left the table below on the whiteboard to help her make the oatmeal. Unfortunately, a few spots were accidentally erased. Complete the table for Tiana below.
Answers
To find the amount of oatmeal in ounces for 1 ounce of milk, we use the following proportion
\(\frac{4}{1}=\frac{3\frac{1}{5}}{x}\)Now, we solve for x.
\(\begin{gathered} 4x=3\frac{1}{5} \\ 4x=\frac{3\cdot5+1}{5} \\ 4x=\frac{16}{5} \\ x=\frac{16}{4\cdot5} \\ x=\frac{4}{5} \end{gathered}\)So, for 1 ounce of milk, the amount of oatmeal is 4/5 ounces.
Now, let's find the amount of milk for 5 1/10 ounces of oatmeal.
\(\frac{1}{x}=\frac{\frac{4}{5}}{5\frac{1}{10}}\)Now, we solve for x
\(\begin{gathered} \frac{1}{x}=\frac{\frac{4}{5}}{\frac{5\cdot10+1}{10}} \\ \frac{1}{x}=\frac{\frac{4}{5}}{\frac{51}{10}} \\ \frac{1}{x}=\frac{4\cdot10}{5\cdot51} \\ \frac{1}{x}=\frac{40}{255} \\ x=\frac{255}{40} \\ x=6\frac{3}{8} \end{gathered}\)Hence, there are needed 6 3/8 ounces of milk to get 5 1/10 ounces of oatmilk.
One day the temperature started at -8 degrees Fahrenheit and dropped 14 degrees by the end of the day. What was the temperature at the end of the day?
Answers
At the end of the day, the temperature was -22°F.
-8-14 = -22
Here i a lit ingredient to make bicuit
150 butter
75 cater ugar
180 plain flour
50 chocolate chip
jamie ha the following ingredient
800 butter
700 cater ugar
1000 plain flour
200 chocolate chip
what i the greatet number of bicuit, Jamie can make? You mut how your working out
Answers
jamie can make more biscuits than lit.
What do you mean by ordering of numbers ?
When you put a list of numbers in order, you rank them from least to greatest or greatest to least.
An effective tool for comparing and sorting numbers is a number line. From left to right, we read a number line, with the numbers nearer to the left having lower values.
Positive numbers are greater than all negative numbers.
According to the question:
lit has ingredients as
150 butter
75 cater sugar
180 plain flour
50 chocolate chip
and Jamie has ingredients as
800 butter
700 cater sugar
1000 plain flour
200 chocolate chip
As 150< 800 , so Jamie has more butter than lit
As 75 < 700 , so jamie has more cater sugar than lit.
As 180< 1000 , so jamie has more plain flour than lit.
As 50< 200 , so jamie has more chocolate chip than lit.
Therefore, jamie has all ingredients more than lit whoch means jamie can make more number of biscuits than lit.
Hence , jamie can make more biscuits than lit.
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At the beginning of the day, the stock market goes up 30 1/2 points. at the end of the day, the stock market goes does 120 1/4 point. what is the total change in the stock market from the beginning of the day to the end of the day?
Answers
The total change in the stock market from the beginning of the day to the end of the day is a decrease of \(89\frac{3}{4}\) points.
To find the total change in the stock market, we need to subtract the decrease at the end of the day from the increase at the beginning of the day.
The stock market starts by going up \(\(30 \frac{1}{2}\)\) points, which we can represent as a positive value: \(\(30 \frac{1}{2}\)\).
Then, the stock market goes down \(\(-120 \frac{1}{4}\)\) points, which we can represent as a negative value: \(\(-120 \frac{1}{4}\)\).
To find the total change, we subtract the decrease from the increase:
\(\(30 \frac{1}{2} - 120 \frac{1}{4} \\\\= 30.5 - 120.25 \\\\= -89.75\).\)
Therefore, the total change in the stock market from the beginning of the day to the end of the day is a decrease of \(89\frac{3}{4}\) points.
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(06.01)
Write the following expression in exponential form:
1.6 × 1.6 × 1.6 × 1.6
41.6
1.64
1.6 × 4
1.6 + 4
Answers
Answer:
\(1.6^{4}\)
Step-by-step explanation:
1.6 is multiplied by itself 4 times. This is represented in exponential form as
\(1.6^{4}\)
Please help me.
I will give you Brainliest, if you answer correctly
Answers
Answer:
9(5x^3-1)
Please Vote Me Brainliest. Thank You.
The area of the surface of the swimming pool is 210 square feet. what is the length of the deep end?
Answers
The length of the deep end is 12 feet of the swimming pool.
Given: Area of the swimming pool is 210 square feet
Width of the pool = 10 feet
The length of the shallow end is 9 feet and the length of the deep end is d.
To find the value of d.
Let's solve the problem.
The area of the swimming pool is 210
The width is 10
The deep end length is d
The shallow end length is 9
The total length of the swimming pool = The length of the deep end + The length of the shallow end
=> d + 9
Therefore, the total length of the swimming pool is d + 9
The surface of the swimming pool is rectangular, so
The area of rectangle = width × length
Therefore,
area of swimming pool = width of the pool × length of the swimming pool
=> 210 = 10 × (9 + d)
or 10 × (9 + d) = 210
Dividing both sides by 10:
10 × (9 + d) / 10 = 210 / 10
9 + d = 21
Subtracting 9 on both sides:
9 + d - 9 = 21 - 9
d = 12
Therefore the length of the deep end is 12 feet
Hence the length of the deep end is 12 feet of the swimming pool.
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The length of the deep end of the swimming pool is 12 feet.
We are given that:
The Area of the swimming pool = 210 square feet
width of the swimming pool = 10 feet
Length of shallow end = 9 feet
Let the length of the deep end be d.
Total length of the swimming pool = length of deep end + length of shallow end = d + 9
Area of swimming pool = width × length
Substituting the values, we get that:
210 = 10 × (9 + d)
9 + d = 21
d = 12
Therefore the length of the deep end of the swimming pool is 12 feet.
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on saturday, a local hamburger shop sold a combined total of 432 \hamburgers and cheeseburgers. the number of cheeseburgers sold was three times the number of hamburgers sold. how many hamburgers were sold on saturday?on saturday, a local hamburger shop sold a combined total of hamburgers and cheeseburgers. the number of cheeseburgers sold was three times the number of hamburgers sold. how many hamburgers were sold on saturday?
Answers
Solving the problem using basic algebra, the total number of hamburgers that were sold on Saturday can be obtained as 108 hamburgers.
The word problem that has been formulated in the question falls under the basic discipline of mathematics known as algebra.
Algebra is a branch of mathematics that deals with mathematical variables and the rules for manipulating these variables to solve diverse mathematical problems.
Let the total number of hamburgers sold be x.
In the question, it is given that the total number of cheeseburgers sold would be 3 times the number of hamburgers sold. Then the number of cheeseburgers sold would be 3x.
It is also given that the total number of hamburgers and cheeseburgers sold together is 432.
Using these data, the equation can be formulated as x + 3x = 432.
As x and 3x are variables of the same nature, which is x, they can be added to obtain the answer as 4x, hence the equation becomes
4x = 432. Solving for x, we get
x = 432 ÷ 4
x = 108.
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what are the ordered pairs of the solutions for this system of equations?
f(x)=x^(2)-2x+3; f(x)=-2x+12
Answers
The ordered pairs for the system of equations f(x) = x^2 -2x + 3 and f(x) = -2x + 12 are (3, 6) and (-3, 18)
What is a quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0)
f(x) = x^2 -2x +3 and f(x) = -2x + 12
which means
x^2 -2x +3 = -2x + 12
x^2 -2x +3 + 2x - 12 = 0
x^2 -9 = 0
by factorizing we have
(x-3)(x+3) = 0
x = 3 or -3
when x = 3
f(x) = -2x + 12
f(3) = -2(3) + 12 which is 6
when x = -3
f(-3) = -2(-3) + 12 which is 18
ordered pairs are (3, 6) and (-3, 18)
In conclusion, (3, 6) and (-3, 18) are the ordered pairs
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what is the value of pi to the hundred-thousands place
Answers
Answer:
pi ≈ 3,141593
Step-by-step explanation:
I think this is the right answer
a pharmaceutical company knows that five percent of all users of a certain drug experience a serious side effect. a researcher examines a sample of 200 users of the drug. a. what is the probability of finding between 8 and 12 cases with side effects? (round final answer to 4 decimal places.) b. what is the probability of finding more than 16 cases with side effects? (round final answer to 4 decimal places.)
Answers
Using the normal distribution, the probabilities are given as follows:
a. Between 8 and 12 cases with side effects: 0.582 = 58.2%.
b. More than 16 cases with side effects: 0.0174 = 1.74%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is given by the equation presented below:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure X is above or below the mean of the distribution, depending if the z-score is positive or negative.From the z-score table, the p-value associated with the z-score is found, and it represents the percentile of the measure X in the distribution.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with \(\mu = np, \sigma = \sqrt{np(1-p)}\).The parameters for the binomial distribution in this problem are given as follows:
p = 0.05, n = 200.
Hence the mean and the standard deviation of the approximation are given as follows:
E(X) = np = 200 x 0.05 = 10.\(\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{200(0.05)(0.95)} = 3.08\)For item a, using continuity correction, the probability of between 8 and 12 cases with side effects is the p-value of Z when X = 12.5 subtracted by the p-value of Z when X = 7.5, hence:
X = 12.5:
\(Z = \frac{X - \mu}{\sigma}\)
Z = (12.5 - 10)/3.08
Z = 0.81
Z = 0.81 has a p-value of 0.7910
X = 7.5:
\(Z = \frac{X - \mu}{\sigma}\)
Z = (7.5 - 10)/3.08
Z = -0.81
Z = -0.81 has a p-value of 0.2090.
0.7910 - 0.2090 = 0.582 probability.
For item b, the probability of finding more than 16 cases with side effects is one subtracted by the p-value of Z when X = 16.5, hence:
\(Z = \frac{X - \mu}{\sigma}\)
Z = (16.5 - 10)/3.08
Z = 2.11
Z = 2.11 has a probability of 0.9826.
1 - 0.9826 = 0.0174 = 1.74% probability.
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y=ax+g a=Solve the equation for a
Answers
Given:
\(y=ax+g\)solving for a:
\(\begin{gathered} y-g=ax \\ \\ a=\frac{y-g}{x} \end{gathered}\)ANSWER
a = (y - g)/x
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(9x-1)º
74°
62°
PLS HURRY !! :((
Answers
x = 5
Explanation:
I need help! yes I’m this dumb
Find The Unit Rate:
150 students for 5 classes. How many students per class?
Answers
Answer:
30 student
Step-by-step explanation:
150/5=30
Answer:
he unit rate would be 30 students per class.
Step-by-step explanation: One way to find the unit rate in this scenario, we could divide the total students by the number of classes. (150/5) The simplified fraction would be 30/1, or 30 students per class. Hope this help You!!!!!!!!!!!!!
Please answer correctlyyyyyyy
Answers
Answer: Choice C
x intercept is (4,0)
y intercept is (0,2)
=======================================================
Work Shown:
To find the x intercept, we plug in y = 0 and solve for x
2x+4y = 8
2x+4(0) = 8
2x+0 = 8
2x = 8
x = 8/2
x = 4
We have x = 4 pair up with y = 0. So we have (x,y) = (4,0) as the x intercept.
This is the location where the graph crosses the x axis.
--------------
The y intercept is a similar story, but we use x = 0 to find y.
2x+4y = 8
2(0)+4y = 8
0+4y = 8
4y = 8
y = 8/4
y = 2
The value x = 0 leads to y = 2. This gets us (x,y) = (0,2) as the y intercept.
This is the location where the graph crosses the y axis.
I'll give brainliest i swear
Answers
Answer:
See below for answer.
Step-by-step explanation:
Absolute value represents the number of units that a value is from zero taken in account that there is a negative side and a positive side. Therefore in solving an absolute value equation, we must solve for the positive side and also the negative side.
Step-by-step explanation:
The absolute value is a means of measuring the distance of a number from the origin along the number line. Regardless of the position (positive or negative) of a number on the number line, its distance from the origin will be positive. Thus, the absolute value will always be positive, or 0 if if solving for the absolute value of 0).
Suppose that we're tasked to find the ansolute value of 8. As per the definition of absolute value of numbers, we know that -8 and 8 are both 8 units away from zero on the number line.
These same rules apply when solving absolute value equations, for which we have to set up the equations as positive and negative equations:
If a is positive, and |x| = a, then:
x = a or x = -a
please help!!! ITS URGENT!1
answer the following questions:
1)Which functions have graphs with y-intercepts greater than −2?
(Check all that apply.)
Function 1 Function 2 Function 3 Function 4
2)Which function has the graph with a y-intercept farthest from 0?
Function 1 Function 2 Function 3 Function 4
3)Which function's graph is the steepest?
Function 1 Function 2 Function 3 Function 4
Answers
Answer:
answer was 3)
Step-by-step explanation:
Because function was star with 1,2,3,4,
Yo! Please quickly help me solve this! Select the equivalent expression (2^5/x^2)^4
( Would give more points if I had more, but THANK YOU!! )
Answers
Answer:
(2⁵/x²)⁴
(32/X²)
32⁴+x⁶
1,048,576 + X⁶
Step-by-step explanation:
i don't know if this is right. this is all I know
The population of a town in the year 1990 was 15600
The population is now 11420
Calculate the percentage decrease in the population
Answers
Answer: 21.608040201
Step-by-step explanation: