The ordered data are below
658 789 1,306 1,900 1,922 2,077
2,409 2,768 3,603 4,291 5,744 6,502
7,528 8,355 8,358 10,463 11,463 14,163
The middle value for 21 observations is observation ___ , so the median of the data is _____ million dollars.
Answer:
There are 21 observations in the data set, which is an odd number. Therefore, the middle value will be the (n+1)/2th observation, where n is the total number of observations.
The middle value = (21+1)/2 = 11th observation
The 11th observation is 4,291, so the median of the data is $4.291 million dollars.
Un concensario de coches rebaja a 16000 un vehiculo que valia 18300 en que porcentaje lo han rebajado?
As a car dealer lowers a vehicle that was worth 18300 to 16000 by applying the formula of change in percentage we get that by 12.569 percentage (approximately) the price gets lowered .
The initial price of the car is set at P = 18300 (units)
The price after lowering drom P becomes A= 16000 (units)
Hence the change in price (or value) of the car, that is the price of the car is lowered by, C = (initial price - lowered price) = (P - A) = (18300 - 16000) units = 2300 units.
The formula for calculating percentage change is given as follows,
Change in percentage = [(Change in value)/ ( Initial value) ]*100
⇒Change in percentage = (C/ P)*100
⇒ Change in percentage =( 2300/ 18300)*100 = 12.569% (approximately)
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This is a personal question what does 61.5 mean in height i wanna know for math class
hurry this is urgent im on a timer
Answer:
So 61.5 inches I'm guessing in feet would be 5.125 feet. You just divide 61.5 by 12 to get your answer.
Step-by-step explanation:
Tomas is finding the coordinates of point A. He knows that point A has an x-coordinate of 8. He starts to compute the value of the y-coordinate. Complete Tomas’s work to answer the question.
Which is the coordinate of point A?
(8, –6)
(–6, 8)
(6, –8)
(–8, –6)
Mark this and return
The ratio of the measures of two supplementary angles is 3:6 what is the measure of the larger angle
Answer: i would say the answer is 90 degrees
Step-by-step explanation:
When data is positively skewed the mean will be?
What is the solution of the following quadratic inequality? x4 – 18x2 ≥ –64
Answer:
x<=-4 or -2<=x<=2 or x>=4
Step-by-step explanation:
First, you have to get the formula in its standard form,
x^4 - 18x^2 + 64 >= 0
Next, you factorise the expression as you would any trinomial. The fact that the degree of the inequality is 4 instead of 2 just adds an extra step,
(x^2 - 16)(x^2 - 4) >= 0
Get the zeroes/critical values of the equation by equating either bracket to zero.
x^2 - 16 = 0 and x^2 - 4 = 0
x^2 = 16 x^2 = 4
Since both values are positive, both answers are valid as squares of x. The aforementioned extra step is just square rooting these values. Remember: This means that both a positive and negative answer will arise from both equations.
x = 4 or x = -4 or x = 2 or x = -2
Now you have to show these values on a number line.
-4 -2 2 4
_|____|____|____|_
These are the critical values of the inequality, i.e. those values that make it equal zero (zeroes). Now to solve the inequality you need to substitute a value larger than 4 (called x big positive) and then a value between 2 and 4, between -2 and 2... until you sub a value less than -4 into the factorised expression. The point of this is to get the SIGN of the answer. As a rule, since no factors repeat themselves, after calculating x big positive you can simply alternate the signs going left. Try it out yourself!
+ -4 - -2 + 2 - 4 +
_|____|____|____|_
Since we're looking for values greater than or equal to zero, all critical values as well as "plus signs" will form part of the answer, namely:
x<=-4 or -2<=x<=2 or x>=4
P.S. If you prefer, you could also factorise each bracket further as both of them were DOTS brackets and you would have ended up with the same critical values.
Answer: D
Step-by-step explanation:
the individual values contained in an array are known as
The individual values contained in an array are known as elements.
An array is a data structure that allows you to store multiple values of the same data type in a single variable. Each value within the array is assigned a unique index or position, starting from 0 for the first element. These elements can be accessed and manipulated using their respective indices.
By organizing related data into an array, it becomes easier to perform operations on the entire set of values or access specific elements based on their positions. Elements in an array can be of any data type, such as numbers, characters, or objects, depending on the programming language used.
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what is the result of 54* 18 written in standard form?
Answer:
972
Step-by-step explanation:
Use long multiplication to evaluate.
972 If im wrong im very sorry.
I don’t understand this equation. m= -3 and b = 3
can you please put the equation so i can answer it?
thank you!
Hey, I need to find the vertex and show work. The equation is down below and photo:
y = x^2 + 4x - 7
The number for the question is 14
Answer:
this answer for this question
y=833
Answer:
y = x^2 + 4x - 7
y=833
Step-by-step explanation:
brainliest?
Define the linear transformation t by t(x) = ax. find ker(t), nullity(t), range(t), and rank(t).
The linear transformation illustrate that:
a. There are infinite solutions.
b. 1
c. 2
d. 3
How to illustrate the informationSince A is the matrix of the linear transformation T, hence ker(T) = ker(A), nullity (T) = nullity(A), range(T) = col(A) and rank(T) = rank(A).
(a) ker(T) = ker(A) is the set of solutions to the equation T(X) = AX = 0. To solve this equation, we will reduce A to its RREF as under:
Interchange the 1st row and the 2nd row
Multiply the 1st row by 1/12
Multiply the 2nd row by -1/6
Then the RREF of A is
1 0 19/12
0 1 -7/6
Now, if X = (x,y,z)T, then the equation T(X) = AX = 0 is equivalent to x +19z/12= 0 or, x = -19z/12 and y-7z/6 = 0 or, y = 7z/6 so that X = (-19z/12,7z/6,z)T = (z/12)(-19,14,12)T.
Thus, ker(T) = {t(-19,14,12)T} where t is an arbitrary real number. There are infinite solutions.
(b). Since the RREF of A has 2 non-zero rows, hence rank(A) = 2. As per the rank-nullity theorem, nullity(T) = nullity(A) = No. of columns in A, -rank(A) = 3-2= 1.
( c). The first 2 columns of A are linearly independent and its 3rd column is a linear combination of its first 2 columns.
Hence, range(T) = col(A) = span{(0,12)T,(-6,0)T} = R2 ( as the vectors (0,12)T,(-6,0)T are scalar multiples of (0,1)T,(1,0)T respectively and the vectors (0,1)T,(1,0)T constitute the standard basis of R2.
(d). As in (b) above, rank(T) = rank(A) = 2.
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Translate the phrase into a variable expression. Use the letter c to name th
variable. If necessary, use the asterisk (*) for multiplication and the slash
(/) for division.
...
the value of the company divided by 96884 shares...
What value of n makes the statement true?
6xn· 4x2 = 24x6
Answer:
4
Step-by-step explanation: This one is easy if you have 6 groups of ones then times it by 4 and you will get 24.
Answer:
N= 4
C=5
T=22
K=1
Step-by-step explanation:
Edge 2021
Help! Circle theorems
Find the exact area of a circle with a diameter of 5 yards. Use 3.14 for π
Answer:
19.634595408
Step-by-step explanation:
I think this because
πr^2 is how u get area I'd a circle
all u have to do is plug it in
Look at the two points on the number line. Each number graphed is the square root of a whole number that is not a perfect square. Write appropriate square root in each box. Explain how you found those answers.
Answer:
2.8 and 4.4
Step-by-step explanation:
The distance between tick marks is 0.25.
Since the first number is greater than 2.75, we can approximate is as 2.28.
The second number is less than 4.50, we can approximate it as 4.4.
Luna is buying food for a dinner party. Shrimp costs $8.50 a pound. She needs to spend less than $35 total. Write and solve an inequality to represent the situation. How many pounds of shrimp she can buy? Round to the nearest whole pound.
The inequality that represents the situation is 8.50x < 35 and the pounds of shrimp Luna can buy is 4.
What is inequality?Inequality is a statement that two or more mathematical expressions are unequal.
Inequalities are represented as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), and not equal to (≠).
The cost price of shrimp per pound = $8.50
The total spending budget = $35
Let the number of pounds of shrimp Luna can buy = x
Inequality:8.50x < 35
x = 4
Thus, the total amount Luna can spend on shrimp is $34 (4 x $8.50), which is less than $35.
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3m²-48m⁶
factor the polynomial completely
Answer:
see image about. I think that is what you are looking for
Please I need help ASAP!!!
Beth wants to go on a road trip this summer. She will be taking her car, which gets an average of 19 miles per gallon in fuel economy. Beth creates an expression to calculate the total cost of gas for her trip, 1/19xy, where x is the typical price of gas (in dollars per gallon) where she will be driving. What does the factor y represent? The number of miles she expects to drive. The total cost of gas, for one fill-up. The number of times she expects she will have to stop to fill up her car with gas. The total amount of gas, in gallons, needed to fill her car's gas tank.
The factor y represents:
The number of miles she expects to drive.
Cost of GasThe other option description are:
The expression "1/19xy" calculates the cost of gas for a road trip, and the cost of gas depends on two factors: the price of gas (x) and the distance that will be driven (y).The price of gas is given by x, which is the typical price of gas in dollars per gallon. The distance that will be driven is given by y, which represents the number of miles she expects to drive.The expression 1/19 represents the fuel economy of her car, which is given as 19 miles per gallon.The expression 1/19xy gives the total cost of gas for the trip, calculated by multiplying the fuel economy by the price of gas and the distance driven. Therefore, y represents the number of miles she expects to drive.Learn more about Cost of Gas here:
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A researcher found a study relating the distance a driver can see, y, to the age of the driver, When researchers looked at the association of x and y, they found that the coefficient of determination was =0.542. Select two conclusions that the researcher can make from this data. a.) The correlation coefficient, t, is-0 458. b.) About 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age. c.) About 74% of the variation in the driver's age is explained by a linear relationship with the distance that the driver can see d.) The correlation coefficient, t.is -0736. e.) About 46% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age.
Two conclusions that the researcher can make from the coefficient of determination of 0.542 are:
b.) About 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age.
e.) About 46% of the variation in distance that the driver can see is not explained by the linear relationship with the driver's age, and may be due to other factors.
Option a is incorrect because the question does not provide the correlation coefficient. Option c is incorrect because the coefficient of determination does not provide information about the variation in the driver's age. Option d is also incorrect because the provided value does not match with any possible correlation coefficient for this situation.
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V I’mhjhvcbjvcvjhvvvggujvvcghhhvcccgggghh
Answer:
the like terms were not grouped together.
A letter is selected at random from the alphabet. What is the probability it is NOT a vowel?
Total number of letters in alphabet = 26
Number of vowels = 5
Number of letters not vowels(consonants) = 21
Let's find the probability that a letter selected at random is not a vowel.
To find the probability, we have the formula:
\(undefined\)Understanding Different Types of Credit
Check
Sort each scenario into the correct category based on the type of credit it represents.
title loan with collateral
Easy-Access Credit
Open-End Credit
V
Closed-End Credit
car loan
two-week payday loan
credit card
home loan
$2000 monthly line of credit
) Intro
Done
Answer:
EASY-ACCESS CREDIT:
1. title loan with collateral
2. two-week payday loan
OPEN-END CREDIT:
1. Credit card
2. $2000 monthly line of credit
CLOSE-END CREDIT:
1. home loan
2. car loan
The division of category on the basis of type of credit would be as follows:
Easy-Access Credit
1. Title loan with collateral
2. Two-week payday loan
OPEN-END CREDIT:
1. Credit card
2. $2000 monthly line of credit
CLOSE-END CREDIT:
1. Home loan
2. Car loan
Collateral CreditCredit is described as the amount that has been added to a specific account.
Easy-access credit is defined as the credit that is granted for an extremely short period of time and for such loans, the interests are extremely high.
While the open credit keeps the amount lent on repeat which is set at a particular limit(maximum).
Close-end credit in which the amount remains specified initially while it is being lent.
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Help on math please cause Im just to lazy
Answer:
29/56
Step-by-step explanation:
The volume of this cylinder is 1,077.02 cubic inches. What is the radius? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
This Answer :)
Step-by-step explanation:
sorry if wrong :)
Hmm sebelumnya mangap yah geng
stok pulpen w kebetulan habis belum beli ke warung jadi terpakasa w pake pensil deh
mangap...yah
Mangap juga tulisan kurang rapi dan cuantek
Thx :)
Find the sum: 1/10 + 5/100
A: 15/100
B: 15/10
C:6/100
D:15/110
15/100
1/10+5/100
step1: di LCM si nye denominator si nye 100..emegbe zã denominator la nàtsɔ ama LCM la ..le ema megbe la, èdzinɛ ɖe edzi kple numerator
10+5/100
afɔɖeɖe 2: ƒo xexlẽdzesifianu la nu ƒu
15/100
ale,1/10+4/100 ƒe ƒuƒoƒo nye 15/100
Decompose the relations to BCNF : i. R=(ABCD)F={AB→C,B→D;C→A} ii. R=(A,B,C,D,E),F={AB→CE,AC→D,BE→CD,C→D,E→AB}
Decomposed relations are i. R = R1 ∪ R2 ∪ R3, where R1 = (ABC), R2 = (BD), and R3 = (CA) , ii. R = R1 ∪ R2 ∪ R3 ∪ R4 ∪ R5, where R1 = (ABCE), R2 = (ACD), R3 = (BEDC), R4 = (CD), and R5 = (EAB).
To decompose the given relations into Boyce-Codd Normal Form (BCNF), we need to analyze the functional dependencies and ensure that each functional dependency is fully satisfied.
i. R = (ABCD), F = {AB→C, B→D, C→A}
We observe that the functional dependencies in F are:
1. AB→C
2. B→D
3. C→A
To achieve BCNF, we need to decompose R based on these dependencies. Let's analyze each dependency:
1. AB→C: Since AB is a candidate key (a minimal superkey), we create a new relation, R1 = (ABC), and remove AB→C from F.
2. B→D: As B is not a candidate key, we create another relation, R2 = (BD), and remove B→D from F.
3. C→A: C is not a candidate key, so we create a third relation, R3 = (CA), and remove C→A from F.
The final decomposition is R = R1 ∪ R2 ∪ R3, where R1 = (ABC), R2 = (BD), and R3 = (CA). All functional dependencies are now fully satisfied in BCNF.
ii. R = (A, B, C, D, E), F = {AB→CE, AC→D, BE→CD, C→D, E→AB}
We analyze the functional dependencies in F:
1. AB→CE
2. AC→D
3. BE→CD
4. C→D
5. E→AB
To achieve BCNF, we decompose R based on these dependencies:
1. AB→CE: We create a new relation, R1 = (ABCE), and remove AB→CE from F.
2. AC→D: We create R2 = (ACD), and remove AC→D from F.
3. BE→CD: We create R3 = (BEDC), and remove BE→CD from F.
4. C→D: We create R4 = (CD), and remove C→D from F.
5. E→AB: We create R5 = (EAB), and remove E→AB from F.
The final decomposition is R = R1 ∪ R2 ∪ R3 ∪ R4 ∪ R5, where R1 = (ABCE), R2 = (ACD), R3 = (BEDC), R4 = (CD), and R5 = (EAB). All functional dependencies are now fully satisfied in BCNF.
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Graph this compound inequality: x <-8 or x ≥ 3
The graph of the inequalities x < -8 and x ≥ 3 would be the lines right to 3 in the number line which also includes 3 and the line left to -8 but -8 not included.
What is Number line?Number lines are the graphical representation of numbers on a horizontal straight line where the numbers are placed on equal intervals. We can graph the equations and inequalities of one variable on a number line.
The given inequalities are x < -8 and x ≥ 3.
First let us consider the inequality x < -8.
This means that all the numbers which is less than -8 but does not include -8.
That will be a line tends to left from -8 with an open circle on -8.
Consider the other inequality x ≥ 3.
This includes all the numbers which are greater than 3 and also include the number 3 since the inequality is ≥.
The graph will be a line tends to right from 3 with a closed circle on 3.
Hence the graph of this compound inequality will be a line tends to left with an open circle on -8 and a line tends to right with a closed circle on 3.
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Answer: i did it
Step-by-step explanation: answered the 2nd question aswell, hope this helps someone
Nancy rode her bike for 15 4/5 miles on Saturday and Sunday she rode 0.7 fewer miles how many miles did she ride on Sunday HW