This statement is false. Two subspaces of R^n can have the same dimension but still be different.
Here are a few bullet points that elaborate on this:
A subspace is a subset of a vector space that is closed under addition and scalar multiplication.The dimension of a subspace is the number of vectors in a basis for the subspace.Two subspaces of R^n can have the same dimension if they have the same number of vectors in a basis, but the vectors themselves could be different.For example, the subspace of all multiples of the vector (1,0) and the subspace of all multiples of the vector (0,1) both have dimension 1, but they are different subspaces because they contain different sets of vectors.The subspace of all multiples of the vector (1,0) is the set of all vectors of the form (x,0) and the subspace of all multiples of the vector (0,1) is the set of all vectors of the form (0,y) and these two sets are different.Therefore, the statement "If s1 and s2 are subspaces of R^n of the same dimension, then s1 = s2" is not true in general.
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The figure below shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true?
The slope from point O to point A is fraction 1 over 4 times the slope of the line from point A to point B.
The slope from point O to point A is four times the slope of the line from point A to point B.
It is fraction negative 1 over 4 throughout the line.
It is −4 throughout the line.
Both triangles are along the slope of the line, so the slope for both triangles are the same.
Using two points on the slope you find that the slope is -1/4
The answer is:
It is fraction negative 1 over 4 throughout the line.
The majority of states have:
A.no income tax
B.a flat income tax
C.a progression income tax
D. a gross income tax
Option. C is correct. A progression Income tax.
What is income tax?Income tax is a type of tax that the central Government charges on the Income earned during financial year by the individuals and the Businesses.
The majority of states have a progression Income tax.
hence, the majority of state have a progression of Income tax.
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Answer:
(C)- Progressive income tax.
Shannon jogs 20 miles in 4 hours.
If she maintains this constant speed, which graph shows the correct points to represent the situation?
Answer:
Say the answer meant be A
Step-by-step explanation:
Answer:A
Step-by-step explanation:
The speed of the current in the river is 4 mph about travel 17 miles downstream with the current in the this river in the same time that it travels 9 miles upstream against the current find the speed of the boat in the Stillwater
Answer:
Step-by-step explanation:
b = speed of boat in still water
traveling downstream, the boat goes (b+4 miles)/hour.
traveling upstream the boat goes (b-4 miles)/hour.
Time to travel 17 miles downstream = 17 miles × (1 hour)/(b+4 miles)
Time to travel 9 miles upstream = 9 miles × (1 hour)/(b-4 miles)
17 miles × (1 hour)/(b+4 miles) = 9 miles × (1 hour)/(b-4 miles)
17/(b+4) = 9/(b-4)
cross-multiply denominators:
17(b-4) = 9(b+4)
17b - 68 = 9b + 36
8b = 104
b = 13 miles per hour
At a basketball game, a team made 54 successful shots. They were a combination of 1- & 2- point shots. The team scored 90 points in all. Write and solve a system of equations to find the number of each type of shot Equation 1: ______________________ Equation 2: ______________________ 1-point shots: _________ 2-point shots: _________
Answer:
Your answer is 31 for 1 shot points, and 45 for 2 shot points.
Step-by-step explanation:
answer plz plz for brainleiest
Answer:
-.5
Step-by-step explanation:
Answer:
B=0.5 or 1/2
its correct please give brainliest!!!
Each wheel on Nina's car has has a diameter of 18 inches.Which expression could be used to find the circumference of the wheel?
Answer:
56.548667764616276
Step-by-step explanation:
Multiply the diameter by pi.
C= 18 x 3.14159265
Hope this helps!
please help me thank you
Answer: the fully simplified version would be 8/x^5y^4
Use the office to approximate the number in the sample
where's the sample?
lol
Encontrar la media, mediana, moda y rango de los siguiente valores:
84,91, 72,68,87, 78,65,87,79.
Answer:
La mediana es 79 la moda es 87 la media 87 y él rango es 26
Step-by-step explanation:
Espero te ayude ;)
The mode, median and the range are 87, 79 and 26 respectively
Given the data 84,91, 72,68,87, 78,65,87,79., we are to get the median, mode, and range of the data.
The mode is the number that occurs the most from the given data. Since 87 occurs twice, hence the mode is 87The median is the number in the middle after arrangement. On arranging, we will have:
65, 68, 72, 78), 79, (84, 87, 87, 91
From the data, we can see that the median value is 79Range = Highest - lowest
Range = 91 - 65
Range = 26
Hence the range of the data is 26Learn more on measure of central tendency here: https://brainly.com/question/17726154
Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).
Slope, m =-
y-intercept, b =7
7
Step-by-step explanation:
y = mx + b
y = -7x + 7
this assumes m = - 7 , it got chopped off, otherwise what ever slope is change the first 7 for that number.
The number of measles cases increased 33.7% to 220 cases this year. What was the number of cases prior to the increase?
Hi there!
Multiply 33.7 with 0.01...
[tex]33.7[/tex]·[tex]0.01=0.337[/tex]
Then multiply 0.337 with the cases which is 220.
[tex]0.337[/tex]·[tex]220=74.14[/tex]
This means that 33.7% of 22 is 74.14 and this also means that the increased cases this year is 74.14.
write down the 3 integers, all the less than 25, whose range is 10 and
mean is 13
The three integers are
mr hoges wonts to buld a fences around his entir retangler garden what is the totle distance around his garden
Answer:
perimeter = 2(length) + 2(width)
Step-by-step explanation:
Whats the slope to this.
Giving brainliest. Correct answer
Answer:
m=-25
Step-by-step explanation:
m=Δh/Δt
(Im choosing for the difference in height and time (Δh and Δt) to be the difference between the data in the first two rows)
m=(4500-5000)/(20-0)
m=-500/20
m=-25
Please help thank you if you do
4/5 z = 2/7
7×4×z = 2× 5 (move the denominator of both fractions to the other side)
28z = 10
z = 10 ÷ 28
z = 5/14
Answer: The answer your looking for is 5/14
Step-by-step explanation: You want to leave the variable alone, so you divide both sides by 4/5. If you divide 2/7 by 4/5, you get 5/14.
1.) 2.73 ÷ 0.03
2.) 112 ÷ 0.16
3.) 48.86 ÷ 0.08
4.) 0.28 ÷ 0.4
5. 18.3 ÷ 6
I need solutions now
Answer:
1. 91
2. 700
3. 610.75
4. 0.7
5. 3.05
Bir okuldaki öğrencilerin
erkektir. Okulda 90 kız öğrenci
olduğuna göre kaç erkek öğrenci vardır?
Answer:
Soru gözükmüyor. Okulda kaç öğrenci var? Bunu söylersen çözebilirim.☺️
A coordinate grid is shown below:
Part A: Which point represents the origin? (2 points)
Part B: Starting from the origin, explain how to plot the following three points accurately:
(2, −2)
(−2, 1.5)
Please answer the question quickly, Thank you.
Answer:
I would need to see a coordinate plane in order to answer. Sorry
Step-by-step explanation:
The following probabilities are based on data collected from U.S. adults. Individuals are placed into a weight category based on weight, height, gender and age.
Underweight Healthy Weight Overweight (not Obese) Obese
Probability 0.017 0.377 0.343 0.263
Based on this data, what is the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) range?
Answer:
the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) is 0.394
Step-by-step explanation:
Given the data in the question;
Underweight Healthy Weight Overweight (not Obese) Obese
Probability 0.017 0.377 0.343 0.263
so
P( underweight) = 0.017
P( Healthy Weight) = 0.377
P( Overweight (not Obese) ) = 0.343
P( Obese ) = 0.263
now, the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) range will be;
P( weigh less than overweight(but not obese) = P( underweight) + P( Healthy Weight)
P( weigh less than overweight(but not obese) = 0.017 + 0.377
P( weigh less than overweight(but not obese) = 0.394
Therefore, the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) is 0.394
Which playwright has only seven surviving plays, and many people consider his Oedipus Rex the greatest Greek tragedy?
Aeschylus
Sophocles
Euripides
Aristophanes
Answer:
its b Sophocles
Step-by-step explanation:
got it right
What is the height of a trapezoid whose bases have lengths of 11 units and 18 units and whose area is 87 square units?
its either
Question 1 options:
5 units,
3 units, or
6 units
Answer:
6 units is answer for it may be correct check it
Answer:
6
Step-by-step explanation:
Took the test on k12
Solve log base 2 of one over thirty two.
Answer:
Step-by-step explanation:
At this rate, how much would Cary earn for 55 hours of babysitting?
Answer:
if Cary works at 8 hours per hour, then she will have $440
Step-by-step explanation:
this is, if you are referring to your previous question about Cary making $56 in 7 hours.
Someone help me it's due right now help please helpppppppp
Answer:
The answer is c
the line needs to start at $5 then go up in increments of $2 each hour after. Time is in 2 hour blocks, meaning each block should increase by $4
On a trip, a family travels 180 km in 2.5 h on the first day, 220 km in 4.4 h on the second day, and 88 km in 2.2 h on the third day. What was the average speed, in kilometers per hour, for the total trip?
Answer:
Step-by-step explanation:
180+220+88 = 488 km
2.5+4.4+2.2 = 9.1 h
(488 km )/(9.1 h) = (488/9.1 km)/h ≈ 53.6 km per hour
Can u help me answer this?
Thanks!
Answer:
190 trees
Step-by-step explanation:
38% of the plantings in the garden are trees. There are 500 plantings.
So we are looking for 38% of 500.
To find the percentage of a number, convert the percentage to a decimal and multiply:
38%=0.38
500*0.38=190
Yesterday,
5/8
of the 72 students in a contest gave their speeches. How many students gave their speeches?
Write your answer in simplest form?
Answer:
45
Step-by-step explanation:
5 divided by 8, multiply by 72
=(5÷8)72
=(0.625)72
=45
According to an online survey by Harris Interactive for job site CareerBuilder, more than half of IT (information technology) workers say they have fallen asleep at work (InformationWeek, September 27, 2007). Sixty-four percent of government workers admitted to falling asleep on the job. Consider the following contingency table that is representative of the survey results.
Slept on the Job IT Professional Government Professional
Yes 155 256
No 145 144
1. Convert the contingency table into a joint probability table. (Round the intermediate calculations and final answers to 4 decimal places.)
2. What is the probability that a randomly selected worker is an IT professional? (Round the intermediate calculations and final answers to 4 decimal places.)
3. What is the probability that a randomly selected worker slept on the job? (Round the intermediate calculations and final answers to 4 decimal places.)
4. If a randomly selected worker slept on the job, what is the probability that he/she is an IT professional? (Round the intermediate calculations and final answers to 4 decimal places.)
5. If a randomly selected worker is a government professional, what is the probability that he/she slept on the job? (Round the intermediate calculations and final answers to 4 decimal places.)
6. Are the events "IT Professional and Slept on the Job" independent? Explain.
Answer:
Follows are the solution to this question:
Step-by-step explanation:
[tex]Frequency\ total = 155 + 256 + 144 + 145 = 700;[/tex]
In point (1):
Now that it is possible to obtain the joint distribution as:
[tex]IT\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ G \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Total[/tex]
[tex]Yes \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{155}{700} = 0.2214\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{256}{700} = 0.3657 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.5871\\\\No \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{145}{700} = 0.2071\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{144}{700} = 0.2057\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.4128\\\\Total \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.4285 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.5714\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1[/tex]
In point (2):
Likely that now It (the IT column total throughout the table above) seems to be the random individual selected = 0.4285;
Here, 0.4285 is the necessary probability.
In point (3):
The way of its worker's sleep at work =0.5871 ( first row total in the above table )
Here 0.5871 was its required probability.
In point (4):
In this as employee slept at work, he is likely to also be from IT to be calculated with:
[tex]=\frac{\text{probability he was just an IT-former but was asleep at work}}{ \text{possibly he worked at work}}\\\\=\frac{0.2214}{0.5871} \\\\ =0.3771 \text{was its probability required here}.[/tex]
In point (5):
In an individual is also an official government, its chance of getting sleep at work is measured when:
[tex]= \frac{\text{Probability he is professional in business slept at work}}{\text{or that he is officially in business}} \\\\= \frac{0.3657}{0.5714}\\\\ = 0.6400 \text{is the required probability here}.[/tex]
In point (6):
[tex]\to P(IT) \ P(Yes) = 0.4285 \times 0.5871 = 0.2516 \\\\\to P(IT and Yes ) = 0.2214 \\\\[/tex]
Therefore, 2 cases aren't independent, because P(IT) P(Yes) is not the same as P(IT and Yes), which also implies that P(IT|Yes) is not the same as P (IT), therefore "[tex]\text{No because P("IT " | "Yes")} \neq P("IT")[/tex]" is correct.
please help me asap!!
Answer:
1 square unit
Step-by-step explanation:
its easy
1 * 1 = 1