Determine whether the set, together with the indicated operations, is a vector space. If it is not, then identify one of the vector space axioms that fails. C[0, 1], the set of all continuous functions defined on the interval [0, 1], with the standard operations
Answers
Answer:
It is a vector space
Step-by-step explanation:
The set of all continuous functions C[0,1 ] defined on the interval [0,1] is a vector space
as proven below ( attached below is a required proof that it is a vector space )
The set checks out for additivity, scalar multiplication and associativity hence it is a vector space
Related Questions
Which box plot correctly displays the data set with a maximum of 48, a minimum of 27, a median of 36, an upper quartile of 45, and a lower quartile of 32?
(please refer to the answer like this: Image [number])
Answers
Answer:
Image 1
Step-by-step explanation:
To answer this question, we need to know how to use a box plot.
I've attached an image that demonstrates this well and can teach you what each part of the box plot means.
Specifically, the 2 farthest dots at the end are the minimum and maximum. The two sides where the box starts are the lower and upper quartiles. Finally, the line in the middle of the box is the median.
With this, we can analyze each box plot and determine which one is correct.
Box Plot 1: Everything is plotted correctly- Maximum and minimum plotted correctly, median plotted correctly, upper and lower quartile plotted correctly.
Box Plot 2: Everything plotted correctly EXCEPT maximum of 48 is represented at 46.
Box Plot 3: Everything plotted correctly EXCEPT the upper quartile of 45 is at 39.
Box Plot 4: Upper quartile represented at 39 and maximum represented at 46 are both incorrect.
find the interquartile range. its question 5 and four
Answers
Answer:
I think the interquartile range is 2.5
Step-by-step explanation:
Interquartile range = Q3-Q1.
michaela spent $33 on 3 rose bushes and 3 pots of ivy. totsakan spent $92 on 12 rose bushes and 4 pots of ivy. find the cost of one rose bush and the cost of one pot of ivy
Answers
Answer:
One rose bush costs $6
One pot of ivy costs $5
Step-by-step explanation:
Set up an equation:
Variable x = cost of rose bushes
Variable y = cost of pots of ivy
3x + 3y = 33
12x + 4y = 92
I will use substitution to first solve for x:
3y = 33 - 3x
Divide both sides by 3
y = 11 - x
Substitute y value for 11 - x:
12x + 4(11 - x) = 92
Use distributive property
12x + 44 - 4x = 92
Combine like terms
8x + 44 = 92
8x = 48
Divide both sides by 8
x = 6
Solve for y by plugging in 6 for the x value:
3(6) + 3y = 33
18 + 3y = 33
3y = 15
Divide both sides by 3
y = 5
Check work:
3(6) + 3(5) = 33
18 + 15 = 33
33 = 33
Correct
Matt walked 1 mile in 15 minutes. At this rate, how many miles would he walk in 2 hours?
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Find the surface area
No link please and thank you
Answers
find the volume of the cone Diameter:10 m and Height:10m
Answers
Answer:
V = 260.2 m^3
Step-by-step explanation:
The area of the circular base is (pi)(r)^2, where r is the radius and half the diameter.
In this case the volume of the cone is V = (1/3)(pi)(5 m)^2*(10 m) = 260.2 m^3
Answer: 262
...........................
37. The sum of two numbers is 86. The larger number is nine less than four times the smaller number. Find both numbers.
Answers
The larger number is 67 while the smaller number will be 19 for the given condition.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given,
Suppose the larger number is x while the smaller number is y.
Sum will be as x + y = 86
The larger number is nine less than four times the smaller number.
x = 4y - 9
By substitution,
4y - 9 + y = 86
5y = 95
y = 19
x = 86 - 19 = 67
Hence "For the specified condition, the greater number is 67 and the smaller number is 19".
For more about the number system,
https://brainly.com/question/22046046
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Find the distance between the two points rounding to the nearest tenth (if necessary).
(-1,4) and (8, 2)
Answers
Answer:
9.2 ([tex]\sqrt{85[/tex][tex]\sqrt{85}[/tex])
Step-by-step explanation:
square root of (8-(-1))^2 + (2-4)^2) which is square root of 85 which is approximately 9.2 rounded to the nearest tenth
Answer:
9.2
Step-by-step explanation:
A resort hotel rents bicycles for 20 plus and hourly rate of $6. A nearby hotel rents bicycles for 15$ plus an hourly rate of $8
Answers
A newspaper article indicated that 43 percent of cars with black seats are white, 46 percent of cars with black seats are blue, 7 percent of cars with black seats are red, and 4 percent of cars with black seats are black. A test was conducted to investigate whether the color of cars with black seats was consistent with the newspaper article. A random sample of cars of these colors was selected, and the value of the chi-square test statistic was x = 8.2. Which of the following represents the p-value for the test?
A) P(x2 ≥ 8.2) = 0.08
B) P(x2 ≥ 8.2) = 0.04
C) P(x2 ≤ 8.2) = 0.96
D) P (x2 = 8.2) = 0.00
E) The p-value cannot be calculated because the sample size is not given.
Answers
Answer:
C) P (X2 ≤ 8.2) = 0.96
Step-by-step explanation:
P value for the test is the probability of obtaining results that have been observed in the null hypothesis statement. A very small value of p indicates that there is unlikely chance of null hypothesis being true which means that we cannot accept null hypothesis based on the small p value.
Answer:
P(χ2≥8.2)=0.04
Step-by-step explanation:
Just took the test. This was correct
k is no greater than 9
Answers
Answer:
Agree with u98888888888
Answer:
i agreee
Step-by-step explanation:
Solve the following exponential equation. Round to the nearest thousandth place (3 decimal places)
5^3x+7 =311
Answers
Answer:
x= 2.432
Step-by-step explanation:
What's negative 4 times p
Answers
Answer:
The answer will b -4p
plz can i get brainliest
WILL MARK BRAINLY FOR WHO EVER ANSWERS THIS FIRST
Answers
Answer:
(0,1)
Step-by-step explanation:
the answer is (0,1)
given two negative numbers one is more than the other their product is 15 find the numbers.
Answers
Answer:
-5 and -3
Step-by-step explanation:
-5 x -3= 15 since - x - is +What is (3x^2+ 4x - 7) / (x - 1)?
A. 3x+1
B. X-1
C. 3x+7
D. 7x-7
Answers
Answer:
[tex]\tt{}b. \: 3x + 7 [/tex]
Step-by-step explanation:
[tex]\tt{} \frac{(3 {x}^{2} + 4x - 7) }{(x - 1)} [/tex]
[tex]\tt{} \frac{{3x}^{2} + 7x - 3x - 7}{x - 1}[/tex]
[tex]\tt{} \frac{x \times (3x + 7) - (3x + 7)}{x - 1} [/tex]
[tex]\tt{} \frac{(3x + 7) \times (x - 1)}{x - 1} [/tex]
[tex]\tt{}3x + 7[/tex]
Which of the following is the correct interpretation of
P(X > 4)?
Standardized tests for certain subjects, given to high
school students, are scored on a scale of 1 to 5. Let X
represent the score on a randomly selected exam. The
distribution of scores for one subject's standardized test
is given in the table.
Score
1
2
3
4
5
O The probability of a randomly selected test having a
score of at most 4 is 0.36.
O The probability of a randomly selected test having a
score of at least 4 is 0.36.
O The probability of a randomly selected test having a
score lower than 4 is 0.85.
O The probability of a randomly selected test having a
score higher than 4 is 0.15.
Probability
0.18
020
0.26
0.21
0.15
Mark this and return
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Answers
after months of negotiations,jabus annual salary was increased by 6,5percent to R330 000. determine his previous monthly salary and the monthly increase he will be getting
Answers
Answer:
previous monthly salary is R 308,550 and increment is R 21,450
Step-by-step explanation:
Let the previous monthly salary be x
Current salary = R 330,000
Percent increase = 6,5%
Increase = 6.5% * 330,000
Increase = 0.065 * 330,000
Increase = Rs21,450
Previous salary = 330,000 - 21,450
Previous salary = 308,550
Hence previous monthly salary is R 308,550 and increment is R 21,450
Number 2 all of number 2
Answers
Answer:
1) True
2)False
3)True
Step-by-step explanation:
2.cierto
3.cierto
A runner moves 8 miles every 1 minute. Write and graph an equation in two variables that shows the relationship between time and distance
Answers
Answer:
what grade is this?
Step-by-step explanation:
complete the conversion
7480 yd _ mi
Answers
The answer is 4.25 miles
Alan has forgotten his 4-digit PIN code. He knows the second digit is even, and last digit is 7. How many different sets of 4 digits could it be?
Answers
Answer:
500
Step-by-step explanation:
Using the graph, determine the coordinates of the x-intercepts of the parabola.
Answers
Please help I’ll mark you as brainliest if correct!
Answers
Answer: 18
Explanation: 18 times 2.5 is 45. 45 +18=63
Answer:
the answer would be 25 because to get the answer you would take 63 and divide it by 2.5 and you will get 25.2 then rounding it to the nearest 10th would be 25
then after you get 25 you would put it into the equation 2.5(x) = 63 which would be 2.5(25)=63. that it y 25 would be the correct answer.
Hope this helped
What is the are of the arrow?
Answers
Answer:
84
Step-by-step explanation:
First you need to find the area of the square. You have to multiply 4x10 which is 40. So now you have to find the area of the triangle. To do that you have to use this equation base x Height/2. Basically 6 times 3.5 is 21/2 so its 10.5. Since you have 2 triangles you can just multiply by 2 which is 42 so 42 + 42 is 84
Which equation represents circle k shown in the graph below? Help plz
Answers
Answer:
-5-1
Step-by-step explanation:
BC
Round your answer to the nearest hundredth.
А
50°
?
3
B
Answers
Use the sine function.
sine = opposite side of triangle divided by the hypotenuse.
Here is the set up:
sin(50°) = BC/3
sin(50°)/3 = BC
Use your calculator to simply left side.
Take it from here.
1 . What is the distance between the two points. (0,5 1,3), (-0,4, -1,3) ?
Answers
Answer:
Step-by-step explanation:
x1 = 0.5 x2 = -0.4 y1 = 1.3 y2 = -1.3
[tex]\sqrt{(x2 - x1)^{2}+(y2 - y1)^{2}[/tex]
[tex]\sqrt{(-0.4 - 0.5)^{2}+(-1.3 - 1.3)^{2}[/tex]
=2.75
Freshman, sophomore, junior, and senior students at a high school will be surveyed regarding a potential increase in the extracurricular student activities fee. There are three possible responses to the survey question - agree with the increase, do not agree with the increase, or no opinion. A chi-square test will be conducted to determine whether the response to this question is independent of the class in which the student is a member. How many degrees of freedom should the chi-square test have
Answers
Answer:
The degrees of freedom is 6 for the chi square independence test.
Step-by-step explanation:
This is test hypothesis of independence. The test statistic under H0 is
χ²= ∑ (O - E)²/ E
where O is the observed and E is the expected frequency
which has an approximate chi square distribution with ( r-1) (c-1) degrees of freedom, where r= rows and c= columns.
Here there are 4 rows and 3 columns
Hence the degrees of freedom will be
( 4-1) ( 3-1)= 3*2= 6
10) Triangle GHK has an area of 273cm². Write and solve an equation to find the height, h, of triangle GHK
base is 26 cm
Answers
Answer:
21cm
Step-by-step explanation:
A=(b*h) /2-->h=(2*A)/b-->
h=(2*273)/26-->
h=21 cm