Answer:
The coefficients are;
1,28,378 and 3,276
Step-by-step explanation:
For the binomial expansion, when we talk of the coefficients, we mean the whole numbers that stands before the alphabets
For example, the coefficient of x in 2x is 2
Back to the question;
(x + y)^28
= 28C0 x^28y^0 + 28C1 X^27y^1 + 28C2 x^26y^2 + 28C3 x^25y^3 + ..........
So the coefficients we are looking for are;
28C0 = 1
28C1 = 28
28C2 = 378
28C3 = 3,276
Kindly note that 28C0 is read as 28 combination zero and so on
hector received three a's and one b in his college courses. what is his grade point average?assume each course is three credits. a
The grade point average received by hector is 3.75.
What is GPA?Your grade point average (GPA) is calculated by dividing the total number of credits you have earned in high school by the sum of all of your course grades. The majority of colleges and secondary schools use a 4.0 scale to report grades. A perfect score, or an A, is a 4.0.
The unit value for each course in which a student obtains one of the grades mentioned above is multiplied by the grade point total for that grade to determine the GPA. Then, divide the sum of these products by the sum of the units. The cumulative GPA is calculated by dividing the total grade points by the total number of units.
3 a and one is B received by Hector.
The A = 4.0, B = 3.0, C = 2.0, D = 1.0 is given by college
We have GPA= A+A+A+B/4
GPA=4+4+4+3/4
GPA= 15/4
GPA=3.75
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Complete question
Hector Ramirez received three A's and one B in his college courses. What is his grade point average? Assume each course is three credits. A = 4.0, B = 3.0, C = 2.0, D = 1.0
The tables show the attendances at volleyball games and basketball games at a school during the year.
Express the difference in the measures of center as a multiple of the measure of variation. Round your answers to the nearest tenth.
The difference in the means is about (blank) to (blank) times the MAD.
Solve for blanks
a) Compare the populations using measures of center and variation. Mean and MAD of vollyball game attendence are 86, 19.6 respectively. Mean and MAD of basketball game attendence are 185, 17.7 respectively.
b) Difference in the measures of center as a -4.6 to 5.1 multiple of the measure of variation. The difference in the means is about -4.6 to 5.1 times the MAD.
We have two tables consists attendances at volleyball games and basketball games at a school during the year. See the above figure carefully. Now, Compare the populations using measures of center and variation : As we know mean of data is calculated by dividing the sum of data values to the number of data values. Here, Sum of vollyball attendence values, ∑xᵢ = 1720
Number of days = 20
So, mean of vollyball game attendence
= 1720/20 = 86
Sum of basketball ball attendence values, ∑yᵢ = 3700
Number of days = 20
So, mean of basketball ball game attendence = 3700/20 = 185
Now, measure absolute deviations, MAD
MAD of vollyball game attendence is
= [∑( mean of vollyball game attendence - attendance values (i))]/number of days
= 392/20 = 19.6
MAD of basketball ball game attendence is = [∑( mean of basketball ball game attendence - attendance values (i))]/number of days
= 354/20 = 17.7
b) Now, we check the relation between difference in the measures of center as a multiple of the measure of variation.
A : vollyball game attendence
B : basketball game attendence
difference in the measures of center
= Mean (A) - Mean(B) or Mean(B) - Mean (A)
measure of variation, MAD(A) , MAD(B)
[Mean (A) - Mean (B)]/MAD(A)
= ( 86 - 185)/19.6
= -4.643 ~ -4.6
[Mean (B) - Mean (A)]/MAD(B)
= ( 185 - 86)/17.7
= 91/17.7 = 5.1412 ~ 5.1
Hence, difference in the means is about -4.6 to
5.1 times the MAD.
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Complete question :
The above tables show the attendances at volleyball games and basketball games at a school during the year. Volleyball Game Attendance Basketball Game Attendance 112 95 84106 62 68 75 88 93 127 98 117 60176 141 152 181 198 21 49 5485 74 88 132 5 202 190 173 155 169 188 195 4 179 163 186 184207 219 228
a) Compare the populations using measures of center and variation.
b) Express the difference in the measures of center as a multiple of the measure of variation. Round your answers to the nearest tenth. The difference in the means is about (blank) to (blank) times the MAD.
if triangle ABC is dilated by a scale factor of 2 what are the coordinates of the image of a ?
Answer:
x=-2
y=1
(-2,1)
Step-by-step explanation:
all you have to do is look at the point that a is on and run your finger to the x and y line where it touches those lines is where you look at the # that it is on
x=horizontal
y=vertical
Define and distinguish among positive correlation, negative correlation, and no correlation. How do we determine the strength of a correlation?
Define positive correlation. Choose the correct answer below.
A. Positive correlation means that both variables tend to increase (or decrease) together.
B. Positive correlation means that there is a good relationship between the two variables.
C. Positive correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases.
D. Positive correlation means that there is no apparent relationship between the two variables.
Define negative correlation. Choose the correct answer below.
A. Negative correlation means that there is no apparent relationship between the two variables.
B. Negative correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases.
C. Negative correlation means that there is a bad relationship between the two variables.
D. Negative correlation means that both variables tend to increase (or decrease) together.
Define no correlation. Choose the correct answer below.
A. No correlation means that there is no apparent relationship between the two variables.
B. No correlation means that the two variables are always zero.
C. No correlation means that both variables tend to increase (or decrease) together.
D. No correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases.
To determine the strength of a correlation, we can use a statistical measure called the correlation coefficient. This value ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.
The closer the coefficient is to -1 or 1, the stronger the correlation, while values near 0 indicate a weak or no correlation. Positive correlation, negative correlation, and no correlation are types of relationships between two variables.
Positive correlation (A) means that both variables tend to increase (or decrease) together. When one variable increases, the other also increases, and when one decreases, the other also decreases.
Negative correlation (B) means that two variables tend to change in opposite directions, with one increasing while the other decreases. When one variable increases, the other tends to decrease, and vice versa.
No correlation (A) means that there is no apparent relationship between the two variables. The changes in one variable do not seem to consistently affect the changes in the other variable.
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Identify the relationship between the pair of angles y and v PLZZZZ THANK YOUUUU
Answer:
Q1. angle x + angle y = 180°
Q2. angle x = angle y
The ponderal indexis a measure of the "leanness" of a person. A person who is h inches tall and weighs w pounds has a ponderal index I given by I = a. Compule the ponderal index for a person who is 76 inches tall and weighs 192 pounds: Round to the nearest hundredth. b. What is a man's weight if he is 77 inches tall and has a ponderal index of 11.56 ? Round to the nearest whole number. a. The ponderal index for a person who is 76 inches tall and weighs 192 pounds is (Round to the nearest hundredth as needed.)
The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.
To compute the ponderal index, we need the formula and the value of the constant "a."
a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.
b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.
To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.
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find the nearest degree
Answer:
Nearest angle is 30°.Step-by-step explanation:
There are 3 angles:
90° and 60°.There is 1 missing angle:
x°Subtract 180°:
180 - 60 = 120 - 90 = 30.Missing angle found!
Missing angle:
30°Can someone help with the math question only 1
Answer:
Step-by-step explanation:
The answer is C can you give brainliest?
The formula for finding the length of an arc on a circle is L=277 (1360), where r is the radius of the circle and x is the measure of
the central angle of the arc
Solve for x
Answer:
I don't know the answer I'm sorry.
Find the slope of the line through the given points. c (1,3) and (0,−9)
10x-9y= 24,
Y= x-2
X =?
Y=?
Answer:
X= 6
Y=4
Step-by-step explanation:
10x-9x=24
10x-9(x-2)=24
10x-9x+18=24
x=24-18
x=6
Y=x-2
Y=6-2
Y=4
A solid with surface area 50units^2 is dilated by a scale factor of K to obtain a solid surface area 200units^2. Find the value of K.
The value of K is 2.
Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.
We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.
Using the formula for the surface area, we have:
Initial surface area * (scale factor)^2 = Final surface area
50 * K^2 = 200
Dividing both sides of the equation by 50:
K^2 = 200/50
K^2 = 4
Taking the square root of both sides:
K = √4
K = 2
Therefore, the value of K is 2.
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Whats 2+2?
I need alot of help its hard
Answer
well first u put it as 2/2 which is 2 then you have to times it by 69 which is 138 then divide that by 6.5 which is 21
Step-by-step explanation:
actual answer is 4 if you were serious about this
Answer: 4
Step-by-step explanation:
Use your hands:
2 on one hand
2 on the other hand
Put them together which is 4
Romario calculated the amount of money he has in his savings account, S(w), using the
equation, S(w) = 2,950 - 75w, where w is the amount of money he spends each
week. How much money is in Romario's account after 17 weeks?
Answer: The answer is 5
Step-by-step explanation:
Marshall is going to make an apple pie. He buys x pounds of apples and a pie crust that cost 4.50. The total cost in dollars y can be found using the equation below
Answer:
7.00
Step-by-step explanation:
First, you take 2.5x + 4.5 wich gives you 7.00 or 7.
how many cups of granulated sugar in a 5 pound bag
There are approximately 11.25 cups of granulated sugar in a 5 pound bag.
To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.
First, we multiply the number of pounds (5) by the conversion factor:
5 pounds * 2.25 cups/pound = 11.25 cups
Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.
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Noah spent $2.50 on 2 bags of peanuts and 1 bottle of water at a baseball game.
Emily spent $4.25 on 3 bags of peanuts and 2 bottles of water.
Lily bought 2 bottles of water and 1 bag of peanuts.
If they all paid the same amount for peanuts and water how much did lily spend?
The amount of money Lily spent on peanuts and water is 2.75 dollars.
How to find the amount Lily spent?Noah spent $2.50 on 2 bags of peanuts and 1 bottle of water at a baseball game.
Emily spent $4.25 on 3 bags of peanuts and 2 bottles of water.
Using equation,
where
x = cost of each bag of peanuty = cost of a bottle of waterTherefore,
2x + y = 2.50
3x + 2y = 4.25
multiply equation(i) by 2
4x + 2y = 5
3x + 2y = 4.25
x = 0.75 dollars
y = 2.50 - 2(0.75)
y = 2.50 - 1.5
y = 1 dollars
Therefore,
cost of Lily expenses = 2(1) + 0.75(1)
cost of Lily expenses = 2 + 0.75
cost of Lily expenses = 2.75 dollars
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Five more than the product of a number and 9 is equal to 8
Answer:
What is the question?
Step-by-step explanation:
Answer:
n=1/3
Step-by-step explanation:
Five more than the product of a number and 9 is equal to 8
n is the number
5+9n=8
9n=3
n=1/3
what is one objective of healthy people 2030 that is in the domain of mcfh? group of answer choices increase the number of abortion clinics located in geographies that are easy to access increase the proportion of women who can access fertility services increase the proportion of adolescents receiving comprehensive, evidence-based sexual education reduce the proportion of children with a parent or guardian who has served time in jail
The objective of increasing the proportion of adolescents receiving comprehensive, evidence-based sexual education is a crucial step in promoting the health and well-being of the next generation of Americans.
Healthy People 2030 is a national initiative that sets objectives to improve the health of Americans. One of the objectives in the domain of "much" is to increase the proportion of adolescents receiving comprehensive, evidence-based sexual education.
In mathematical terms, this objective can be expressed as increasing the ratio of adolescents who receive comprehensive, evidence-based sexual education to the total number of adolescents in a given population. The domain of "much" refers to the scope of this objective, which is to have a significant impact on the sexual health of adolescents nationwide.
By increasing the proportion of adolescents who receive comprehensive, evidence-based sexual education, Healthy People 2030 aims to improve outcomes related to sexual health, such as reducing unintended pregnancies, sexually transmitted infections, and sexual violence. This objective recognizes the importance of education in promoting healthy behaviors and empowering young people to make informed decisions about their sexual health.
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LOGIC, Use the model universe method to show the following invalid.
(x) (AxBx) (3x)Ax :: (x) (Ax v Bx)
The conclusion "(x)(A(x) ∨ B(x))" is false since there exist elements (e.g., 1) that satisfy B(x) but not A(x).
To show that the argument is invalid using the model universe method, we need to find a counterexample where the premises are true, but the conclusion is false.
Let's consider the following interpretation:
Domain of discourse: {1, 2}
A(x): x is even
B(x): x is odd
Under this interpretation, the premises "(x)(A(x) ∧ B(x))" and "(∃x)A(x)" are true because all elements in the domain satisfy A(x) ∧ B(x), and there exists at least one element (e.g., 2) that satisfies A(x).
However, the conclusion "(x)(A(x) ∨ B(x))" is false since there exist elements (e.g., 1) that satisfy B(x) but not A(x).
In this counterexample, the premises are true, but the conclusion is false, demonstrating that the argument is invalid using the model universe method.
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Solve for xx. Round to the nearest tenth of a degree, if necessary.
N
O
P
x°
4.8
5.4
Answer:
62.7°
Step-by-step explanation:
Name That Scenario: Mail Time We've seen many different scenarios, so let's practice identifying our parameter of interest. Write the appropriate symbol for the parameter of interest for each of the following inference procedures. While not required, you may also think about what type of inference procedure (confidence interval or hypothesis test) would be most appropriate. a) A dorm manager would like to estimate the percentage of all mail items received at the dorm that are considered packages, defined as an item that cannot fit in the dorm mailbox. Type Markdown and LaTeX:
α 2
b) A FedEx warehouse manager would like to assess if the average number of packages sent from online retailers to a neighborhood in Champaign is greater than the average number of packages sent from online retailers to a neighborhood in Urbana. Type Markdown and LaTeX:
α 2
c) A bakery sells many products, including cookies \& cakes. The bakery offers both shipping and store pick-up on the products. The bakery manager woulc like to estimate the difference in store pick-up rates between all cookies and all cakes sold by the bakery. Type Markdown and LaTeX:
α 2
d) How long does mail delivery take? In a review of a mail delivery company, the reviewers would like to examine if there is an association between the weight of the package and the delivery time (the time for the package from pickup to delivery). Type Markdown and LaTeX:
α 2
a) The parameter of interest is the percentage of mail items received at the dorm that are considered packages. This can be denoted as p, where p is the proportion of packages out of all mail items received at the dorm. A confidence interval would be most appropriate for this inference procedure.
b) The parameter of interest is the difference in the average number of packages sent from online retailers to a neighborhood in Champaign and the average number of packages sent from online retailers to a neighborhood in Urbana. This can be denoted as μ1 - μ2, where μ1 is the average number of packages sent to Champaign and μ2 is the average number of packages sent to Urbana. A hypothesis test would be most appropriate for this inference procedure.
c) The parameter of interest is the difference in store pick-up rates between all cookies and all cakes sold by the bakery. This can be denoted as p1 - p2, where p1 is the proportion of cookies that are picked up in store and p2 is the proportion of cakes that are picked up in store. A confidence interval would be most appropriate for this inference procedure.
d) The parameter of interest is the association between the weight of the package and the delivery time. This can be denoted as ρ, where ρ is the correlation coefficient between the weight of the package and the delivery time. A hypothesis test would be most appropriate for this inference procedure.
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33 is 90% of what number? Round to the tenths place.
Answer:
36.7
Step-by-step explanation:
Since 33 is 90% of a number, you can divide 33 by 9 to get 3 2/3. This 3 2/3 is 10% of the number, so multiply 3 2/3 by 10 to get 36 2/3. 36 2/3 rounded to the nearest tenth is 36.7, so there's your answer. Hope it helps!
Class 10th find the ratio in which the line 3x +y -9=0 divides the line segment joining the points (1,3) and (2,7)
The ratio in which the line 3x +y -9=0 divides the line segment joining the points (1,3) and (2,7) is 1 : 1
To find the ratio in which the line 3x + y - 9 = 0 divides the line segment joining the points (1,3) and (2,7), we need to find the point of intersection between the given line and the line passing through the two points.
Let's first find the slope of the line passing through the two points
slope = (y2 - y1)/(x2 - x1) = (7 - 3)/(2 - 1) = 4/1 = 4
The equation of the line passing through the two points is
y - y1 = m(x - x1)
y - 3 = 4(x - 1)
y - 3 = 4x - 4
y = 4x - 1
Now we can find the point of intersection between this line and the given line
3x + y - 9 = 0
y = -3x + 9
Substituting y in terms of x in the second equation, we get
4x - 1 = -3x + 9
7x = 10
x = 10/7
Substituting x in the equation y = 4x - 1, we get
y = 4(10/7) - 1
y = 23/7
So the point of intersection is (10/7, 23/7).
Now we can find the distance between the two points (1,3) and (10/7, 23/7) and between (10/7, 23/7) and (2,7)
d1 = sqrt((10/7 - 1)^2 + (23/7 - 3)^2) = sqrt(365)/7
d2 = sqrt((2 - 10/7)^2 + (7 - 23/7)^2) = sqrt(365)/7
Therefore, the line 3x + y - 9 = 0 divides the line segment joining the points (1,3) and (2,7) in the ratio of
d1:d2 = sqrt(365)/7:sqrt(365)/7 = 1:1
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Help me asap please
Answer:
4
Step-by-step explanation:
because it median, so it number was the middle of the total
as we know there is total of 9
and we count to 5
so it 4 letters
Answer:
4
Step-by-step explanation:
arranging the name lengths from smallest to largest we have; 3,3,3,3,4,5,7,7,9
From the set of numbers,4 appears at the middle hence the median name length.
The orange shape is a dilation of the black shape. What is the scale factor of the dilation?
1018
х
-10
0
10
-10
Simplify your answer and write it as a fraction or whole number.
Answer:1/2
Step-by-step explanation:
find the expected value of the proposition.round your answer to two decimal places. losses must be expressed as negative values.
To find the expected value of the question, we need to find the probability of having a card with a value less or equal to 5, and the probabilities greater than 5. We are told that the aces are considered the highest card in the deck. So, this card is not part of the group less or equal to 5.
Then, we have in a standard deck of cards 52 cards.
• Those cards that are equal or less than 5 are 16 cards.
,• Those cards that are greater than 5 are 36 cards.
The probability of having a card equal to or less than 5 is equal to:
\(P(C\leq5)=\frac{16}{52}\)The probability of having a card greater than 5 is equal to:
\(P(C>5)=\frac{36}{52}\)When we pay someone, we have a "loss" in a game. Then, if we pay $22, we need to write this value as -$22.
Therefore, the expected value of the proposition is as follows:
\(E(V)=\frac{16}{52}\cdot39-\frac{36}{52}\cdot22=-3.23076923077\)If we round the result to two decimal places, we have that the expected value is equal to E(V) = $ -3.23.
32gal/min = ft/s not h i need s
Gallons (volume) and feet (length) are not compatible units. I guess you mean cubic feet.
Apparently, 1 gal = 231 in³, so
32 gal/min
= (32 gal/min) • (231 in³/gal) • (1/12 ft/in)³ • (1/60 min/s)
= (32 • 231) / (12³ • 60) ft³/s
= 77/1080 ft³/s
≈ 0.0713 ft³/s
PLEASE HELP ME, IM CONFUSED AND NEED HELP!!!!
Answer:
explane it better.
Step-by-step explanation:
What is an advantage of using a stem-and-leaf plot instead of a histogram? What is a disadvantage? O A. Stem-and-leaf plots show data clusters where histograms do not O B. Stem-and-leaf plots contain original data values where histograms do not. O C. Stem-and-leaf plots.easily organize data of all sizes where histograms do not O D. Stem-and-leaf plots graph qualitative data where histograms do not.
Stem-and-leaf plots contain original data values where histograms do not. Therefore, option B is the correct answer.
What is stem and leaf?The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.
The "stem" is used to group the scores and each "leaf" shows the individual scores within each group.
The advantage of a stem leaf diagram is it gives a concise representation of data. The advantage of a frequency histogram is, that it is visually strong. Histograms are usually preferable to stem and leaf diagrams in large data sets. The disadvantage of a stem leaf diagram is not visual.
Therefore, option B is the correct answer.
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