Define and distinguish among mean, median, and mode. Choose the correct description of the mean below. O A. The mean is the most common value in a data set. It can be strongly affected by outliers. O B. The mean is the sum of all the values divided by the number of values. It can be strongly affected by outliers. O C. The mean is the most common value in a data set. It is not affected by outliers. O D. The mean is the sum of all the values divided by the number of values. It is not affected by outliers. O E. The mean is the middle value in a data set. It can be strongly affected by outliers O F. The mean is the middle value in a data set. It is not affected by outliers.
Answer:
As far as I know
Mode: The most frequent number—that is, the number that occurs the highest number of times. Example: The mode of {4 , 2, 4, 3, 2, 2} is 2 because it occurs three times, which is more than any other number.
The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.
he ratio of girls to boys on a soccer team is 2 to 3. If there are 25 players on the team, how many of them are girls?
A) 10
B) 12.5
C) 15
Answer:
the answer is A) 10
Step-by-step explanation:
if there are 25 players on the team, 10 of them are girls
Tell me the linear equation for point-slope form? SOMEONE HELP ME
Michael keeps dogs, cows, cats and kangaroos as pets.
pets in total and that 1/8 of them are dogs, 3/4 are NOT cows, 2/3 are NOT cats.
kangaroos does Michael keep?
The question above is incomplete.
Complete Question
Michael keeps dogs, cows, cats and kangaroos as pets. He has 24 pets in total and 1/8 of them are dogs, 3/4 are not cows and 2/3 are not cats. How many kangaroos does Michael keep?
Answer:
7 kangaroos
Step-by-step explanation:
Total number of pets = 24
Fraction representing total number of pets = 1
Step 1
Number of dogs =
Fraction representing dog = 1/8
1/8 × 24 = 3
He has 3 dogs
Step 2
Number of cows =
From the question, we are told that 3/4 are not cows
Therefore, the number of cows he has =
1 - 3/4 = 1/4
The fraction representing cows = 1/4
Hence the number of cows he has =
1/4 × 24 = 6 cows
Step 3
From the question, we are also told that
2/3 are not cats
The fraction representing the number of cats he has=
1 - 2/3 = 1/3
Therefore, the number of cats he has =
1/3 × 24 = 8 cats.
Step 4
How many kangaroos does Michael keep?
We are asked, how many kangaroos he keeps.
Total numbers of pets = Number of dogs + Number of cows + Number of cats + Number of kangaroos
24 = 3 + 6 + 8 + Number of kangaroos
Number of kangaroos = 24 -(3 + 6 + 8)
= 24 - 17
= 7
Therefore, the number of kangaroos that Michael has is 7 kangaroos
X1. A restaurant owner keeps track of the food
prepared for guests for several days. Based on this
data, what is the constant of proportionality, if any
for this scenario? Show or explain how you know.
Vegetables Guests
Prepared
(Pounds)
Friday 15
Saturday 35
Sunday 25
Day
(number)
12
28
20
The constant of proportionality is the ratio of the number of guests to the food prepared is 0.8.
What are the ratio and proportion?
The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given table,
Suppose the number of guest ∝ food prepared.
Take the first data,
12 ∝ 15
12 = k(15)
k = 12/15 = 0.8
Hence "The constant of proportionality is the ratio of the number of guests to the food prepared is 0.8".
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There are 10 girls and 6 bios in class the teacher randomly draws one student’s name and then draws another
Answer:
Step-by-step explanation:
if there are 10 girls and 6 boys total we have 16 students. Divide 10 by 16 which give 62% a girl will be picked and for boys divide 6 by 16 which is 38% a boy will be picked.
Tom has homothetic preferences. Prove that his indirect utility function (,) is convex in p.
Equation shows that Tom's indirect utility function V(p, w) is convex in p, as desired.
V(λ\(p1\) + (1-λ)\(p2\), w) ≤ λV(\(p1\), w) + (1-λ)V(\(p2\), w)
To prove that Tom's indirect utility function V(p, w) is convex in p, where p is the price vector and w is the wealth, we need to show that for any two price vectors p1 and p2, and for any λ ∈ [0,1], the following inequality holds:
V(λ\(p1\) + (1-λ)\(p2\), w) ≤ λV(\(p1\), w) + (1-λ)V(\(p2\), w)
To prove this, we can use the concept of homothetic preferences.
Homothetic preferences imply that the utility function is homogeneous of degree zero, meaning that multiplying prices and income by the same positive constant does not affect the consumer's preferences.
Let's assume Tom's utility function is U(x), where x represents the consumption bundle.
Tom's indirect utility function can be defined as:
V(p, w) = max { U(x) | px ≤ w }
Now, consider two price vectors p1 and p2, and let x1 and x2 be the optimal consumption bundles for p1 and p2, respectively.
Since U(x) is homogeneous of degree zero, we have:
U(λ\(x1\)+ (1-λ)\(x2\)) = U(x1 + λ(x2 - x1)) = U(x1) [using homogeneity]
From the definition of the indirect utility function, we know that V(p, w) = U(x), where x is the consumption bundle that maximizes U(x) subject to the budget constraint.
Therefore, we have:
V(λp1 + (1-λ)p2, w) = U(x1) [since λx1 + (1-λ)x2 is the optimal consumption bundle for λp1 + (1-λ)p2]
Now, let's consider the right-hand side of the inequality:
λV(p1, w) + (1-λ)V(p2, w) = λU(x1) + (1-λ)U(x2) [using the definition of the indirect utility function]
Since U(x1) = U(x2) (as shown above), we can simplify the right-hand side:
λV(p1, w) + (1-λ)V(p2, w) = U(x1)
Therefore, we have:
V(λp1 + (1-λ)p2, w) ≤ λV(p1, w) + (1-λ)V(p2, w)
This shows that Tom's indirect utility function V(p, w) is convex in p, as desired.
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Which of the following expressions are equivalent to 7×7×7×7 ? Select all that apply.
A)47
B)74
C)77
D)28
E)2,401
F)16,384
Bicycles in the late 1800s looked very different than they do today.
60ft 9ft
a. How many rotations does each tire make after traveling 600 feet? Round your answers to the nearest whole number.
Note that where the diameter of the bicycles are 60 inches and 9 inches respectively, the rotation of each tire after traveling 600 feet would be:
Small Tire (9in Diameter ) = 188.4 Rotations.
Big Tire (60 in Diameter) = 3.2 rotations
Note that the above were arrived at using the knowledge of Circumference.
What is the circumference of a circle?Note that the circumference in geometry is the perimeter of a circle or ellipse.
This is calculated using the formula:
C = 2πr
or
C = πD
Where C = Circumference
R = radius
D = Diameter which is 2r
π = 3.14
To arrive at how many rotations each tire did, we'd have to divide the distance traveled by the circumference of each tire.
For the Small Tire, the diameter is 9 feet.
Thus, the circumference of Small Tire = 3.14 * 9
= 28.26 feet
Thus, the rotations by the small tire is:
600/28.26
= 21.2314225053
\(\approx\) 21.2feet
Applying the same process to the big tire, we have:
C = 3.14 * 60
C = 188.4
The rotations by the big tire =
600/188.4
= 3.1847133758
\(\approx\) 3.2 feet.
Thus, the rotations by each tire over 600ft is given as:
Big Tire = 3.2
Small Tire = 188.4 .
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Full Question:
See attached image.
I NEED HLP WITH THIS ASAP (TRY IT)
- 1/4 ÷ (- 7/9)
HELPPPPPP I WILL MARK BRAINLIEST!!!
Answer:
Ans: 9/28
Step-by-step explanation:
-1/4 ÷ (-7/9)
= -1/4 × 9/-7
= 9/28
\(- \frac { 1 } { 4 } \div ( - \frac { 7 } { 9 } )\)
\(-\frac{1}{4}\left(-\frac{9}{7}\right) \)
\(\frac{-\left(-9\right)}{4\times 7} \)
\( \frac{9}{28}\approx 0.321 \)
______
RainbowSalt2222 ☔
Two point charges q and 4q are at x=0 and x=l , respectively, and free to move. A third charge is placed so that the entire three-charge system is in static equilibrium.
a) The magnitude of the third charge is 4/9q B) Q=-4/9q C) x=L/3
Let the third charge be placed at distance x right to charge
q and in between the two charges.
The electric force F on the third charge Q due to the two charges is given as follows:
a) F=KQQ^1/X^2+KQQ^2/(L-X)^ 2
⇒Substitute q for
Q^ 1 , 4q for Q^2 AND 0
for F and solve for the distance x as follows:
0=-KQQ/X^2+KQ4Q/(L-X)^2
1/X^2=4/(L-X)^2
(L-X)^2=4X^2
X=L/3
⇒On the same line,
the net force acting on charge Q IS
F=KQQ/x^2-KQ4Q/L^2
Substitute L/3 for x and 0 for F as follows:
0=KQQ/(L/3)^2-KQ4Q/L^2
9Q=4q
Q=4/9q
∵The magnitude of the third charge is
4/9q
(b) The net force acting on charge q is,
F=K q Q/X^2+KQ4q/L^2
Substitute L/3 for x and 0 for F as follows:
0=k q Q/(L/3)^2+KQ4q/L^2
9Q=-4Q
Q=-4/9q
, A system is said to be in static equilibrium in which the sum of the forces and torque on each particle of the system is zero.
C) F=KQQ^1/X^2+KQQ^2/(L-X)^ 2
0=-KQQ/X^2+KQ4Q?(L-X)^2
1/X^2=4/(L-X)^2
(L-X)^2=4X^2
X=L/3
THEREFORE, the charge is present in between the two charges. So, the X- coordinate of the third charge is (L/3,0)
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The complete question is given below
Two point charges q and 4q are at x=0 and x=L, respectively, and free to move. A third charge is placed so that the entire three-charge system is in static equilibrium. Part A What is the magnitude of the third charge? Part B What is the sign of the third charge? + or - Part C What is the x-coordinate of the third charge?
Help me plsx xndnjdsjjs
jackie is buying a new blouse, the original price is $24.00 and it is on sale for $18.00.
Answer:
25% off
Step-by-step explanation:
18 of 24 is 75% and that means there 25% left so that’s the awnser
Suppose Marcus draws GG'? What is the length of GG'?
Answer:
gg
Step-by-step explanation:
ggxgg=gggg
geometry triangle help pls
Answer:
equilateral trianglethe last optionpls mark brainlestI need help what’s the answer
The complex number can be represented as matrix as follow:
\(\left[\begin{array}{cc}2&-3\\3&2\end{array}\right]\) \(\left[\begin{array}{cc}1&-4\\4&1\end{array}\right]\) and the correct answer from the option is (B)
How to solve the matrix of complex numbersA complex number can be represented as a 2x2 matrix in the form:
\(\left[\begin{array}{cc}2&-3\\3&2\end{array}\right]\)
Addition and subtraction of complex numbers can be done by adding or subtracting the corresponding matrices.
Multiplication of two complex numbers can be done by multiplying the corresponding matrices and simplifying the result.
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Please help me! No it doesn’t give me the numbers or the volume. If you help I will mark Brainliest!
The volume = LBH = x²y
.°. If a pyramid and a prism have the same base and height, their volumes are always in the ratio of 1/3xVolume of prism.
The volume of Pyramid = 1/3*x²y
h = 3 *1/3x²y/x²
h = 3*1/3x²y*1/x²
h = 3*1/3y
h= yWhat is the specific heat of a material that gains 600 joules of energy when a 0.25 kg object increases in temperature by 3C?
Group of answer choices
800 J/kgC
1200 J/kgC
300 J/kgC
450 J/kgC
Answer:
Step-by-step explanation:
800 J/kgC
What is the specific heat of a material that gains 600 joules of energy when a 0.25 kg object increases in temperature by 3C?
it is 800 J/kgC
solve this simultaneous equation m+2n=10 and 2n+3m=18
Answer:
m=4
n=3
Step-by-step explanation:
m+2n=10
2n+3m=18
Subtract
-2m=-8
m=4
Solve for n
(4)+2n=10
2n+3(4)=18
2n=10-4
2n=18-12
2n=6
n=3
4. The piece below is 4/5 of the whole ribbon. Complete the drawing to show the whole ribbon.
Based on the limited information, it can be deduced that 1/5 of the ribbon is not in view.
How to solveIn order to show the complete ribbon, we need to understand that in mathematical terms:
Since 4/5 of the ribbon is showing
This means that about 1- 4/5
= 1/5 of the ribbon is not in view.
With this knowledge, you can go ahead to complete your drawing, knowing that a full ribbon has a rectangular shape.
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Find 0.038 as a fraction in its lowest terms
Answer:
19 / 500
Pls mark as brainliest!!!
Answer:
19/5
Step-by-step explanation:
If you're using a scientific calculator you will be able to find this answer by just simply pressing 0.038 x 100 divided by 1
What is a good score on the I-Ready Diagnostic?
Typically, a score in the top 25th percentile for a student's grade level is considered to be a strong performance, while a score in the bottom 25th percentile may indicate a need for additional support.
The I-Ready Diagnostic is a widely used assessment tool that measures student proficiency in math and reading. It's commonly used in K-12 schools to help teachers and administrators track student progress and identify areas where students may need additional support.
Here's a more detailed explanation: A "good score" on the I-Ready Diagnostic depends on several factors, such as the student's grade level, the state's standards, and the student's past performance.
It's important to note that the I-Ready Diagnostic is designed to provide a snapshot of a student's current skills and understanding, and it should not be used as the sole measure of a student's ability.
A student's score on the I-Ready Diagnostic can change from year to year based on their progress and the new material they are exposed to.
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1. 108 identical books have a mass of 30 kg. Find
(i) the mass of 150 such books
(ii) the number of such books that have a mass of 20 kg
Answer:
i) around 41.7 kg
ii) 72 books
Step-by-step explanation:
i) if 108 books are 30 kg then how much is the mass for 150? You cross multiply so 150 multiply by 30 and 108 multiply by x (the unknown mass). you will get 4500=108x and then 4500/108 is the unknown mass.
ii) use the same way as above.
The circle graph shows how Jane's family budgets a total of $45,000 for the year.
Insurance.
$3600
Utilities
$3150
Clothing.
$2700
Transportation
$1350
Entertainment-
$5400
Savings
$4050
Taxes
$7200
Food
$7650
Housing
$9900
Find the percentage of the total budgeted for each category listed below.
The percentage that each expense has out of the total budgeted amount of $45,000 have been computed, where insurance has 8.00%, Utilities 7.00% and so on.
What is a percentage?
In this case, percentage refers to proportion of each expense from the total budgeted expense of $45,000, which means that in order to total budgeted expense of $45,000, which means that in order to compute the percentage of total budgeted for each expense category, we divide the expense by the total budgeted expense
Insurance=$3600/$45,000=8.00%
Utilities=$3150/$45,000=7.00%
Clothing=$2700/$45000=6.00%
Transportation=$1350/$45000=3.00%
Entertainment=$5400/$45000=12.00%
Savings=$4050/$45000=9.00%
Taxes=$7200/$45000=16.00%
Food=$7650/$45000=17.00%
Housing=$9900/$45000=22.00%
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please help with these questions
the percent of change in Y from year 1 to year 2 is 72.4%. and it will take approximately 9.5 years for Mountain Peak Ski Resort to have over 2000 snowboarders with season passes.
Why it is?
Y = 205(1.32)²X
where Y represents the number of snowboarders with season passes at Mountain Creek Ski Resort and X represents the number of years since the resort opened.
Option A: What is the percent of change?
The percent of change can be calculated as the percentage increase or decrease in Y over a certain period of time. In this case, since X represents the number of years since the resort opened, we can calculate the percent of change in Y from year X1 to year X2 as follows:
Percent of change = [(Y2 - Y1) / Y1] x 100
For example, to calculate the percent of change in Y from year 1 to year 2, we would substitute X1 = 1 and X2 = 2 into the equation and solve for Y1 and Y2. Assuming that Y1 = 205 (the number of snowboarders with season passes in the first year) and Y2 = 205(1.32)²2 (the number of snowboarders with season passes in the second year), we get:
Percent of change = [(205(1.32)2² - 205) / 205] x 100
= 72.4%
Therefore, the percent of change in Y from year 1 to year 2 is 72.4%.
Option B: After how many years will Mountain Peak have over 2000 snowboarders with season passes?
To answer this question, we can substitute Y = 2000 into the equation and solve for X:
2000 = 205(1.32)²X
1.32^X = 2000/205
X = log(2000/205) / log(1.32)
X ≈ 9.5 years
Therefore, it will take approximately 9.5 years for Mountain Peak Ski Resort to have over 2000 snowboarders with season passes.
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Question Write a polynomial, P(x) . in factored form given the following requirements. Degree: = Leading coefficient Zeros = (5.0), (3.0). (-2,0),and (4,0) y-intercept at (0, ~120) D Provide your answer below:
This is the required polynomial function of degree 4 with leading coefficient as 1 and zeros are given as (5, 0), (3, 0), (-2, 0), and (4, 0) and y-intercept at (0, 120)
The polynomial function can be written in factored form by multiplying the factors which give the zeros of the function and the leading coefficient. The polynomial function of degree 4 with leading coefficient is 1, and zeros are given as (5, 0), (3, 0), (-2, 0), and (4, 0).
The factors are (x - 5), (x - 3), (x + 2), and (x - 4) since they produce the zeros of the polynomial function.
These factors can be multiplied as shown below:$$ P(x) = a(x - 5)(x - 3)(x + 2)(x - 4) $$The value of a is equal to 3/2 which is obtained from the given y-intercept at (0, 120).$$ P(x) = \frac{3}{2}(x - 5)(x - 3)(x + 2)(x - 4) $$.
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A recipe requires 1 cup of sugar to 4 cups of water. How many cups of sugar to 1 cup of water?
Answer:
1/4 cups of sugar
Step-by-step explanation:
just divide the amount of water by for go get the amount of sugar
What is the area of the shaded rectangle!!! I need help asap
help plsssss with this tyy
Answer:
x = 60°
Step-by-step explanation:
using the cosine ratio in the right triangle
cos x = \(\frac{adjacent}{hypotenuse}\) = \(\frac{9}{18}\) = \(\frac{1}{2}\) , then
x = \(cos^{-1}\) (\(\frac{1}{2}\) ) = 60°