Find the median for the following set of data:
13,26,35,44,38,12,47,23,26
Answers
\( \sf{\qquad\qquad\huge\underline{{\sf Answer}}} \)
For unorganized data, median is the middle value when the numbers are arranged in ascending order.
Let's proceed ~
In ascending order :
12, 13, 23, 26, 26, 35, 38, 44, 47
So, for given data... median is 26
Let's start!
First, we'll have to arrange the given values in either ascending or descending order.
Here I'm arranging in ascending order to make it easier.
12, 13, 23, 26, 26, 35, 38, 44, 47
Now, we'll have to find the value in the middle.
12, 13, 23, 26, 26, 35, 38, 44, 47
26 is the middle number when we cut off numbers equally from the left and right.
\(\large\boxed{\bold{Median= 26}}\)
Therefore, the median of the given data set is 26
Related Questions
What are the full steps to 7x(x-2)+5(x-3)=-5
Answers
Answer:
\(x = -\frac{5}{7}, 2\)
Step-by-step explanation:
To solve this equation, we need to simplify it down first. To do this, we must apply the distributive property to each term.
\(7x(x-2) + 5(x-3) = -5\\\\(7x^2 - 14x) + (5x - 15) = -5\)
Now we can combine like terms.
\(7x^2 - 9x - 15 = -5\)
Add 5 to both sides:
\(7x^2 -9x - 10 = 0\)
We can see that this is a quadratic equation, in the form \(ax^2 + bx + c\). To solve for x, we must use the Quadratic Formula, which is \(\frac{-b\pm\sqrt{b^2-4ac}}{2a}\), where a is 7, b is -9, and c is -10.
Substitute inside the equation:
\(\frac{-(-9)\pm\sqrt{-9^2-4\cdot7\cdot-10}}{2\cdot7}\\\\\frac{9\pm\sqrt{81+280}}{14}\\\\\frac{9\pm19}{14}\\\\(9+ 19)\div14 = 2\\\\(9 - 19)\div14 = -\frac{5}{7}\)
Hope this helped!
Answer:
Brianliest!
Step-by-step explanation:
simplify
7x^2-14x+5x-15 = -5
7x^2 - 9x - 10
x= 1
x = -0.7142857143
Is landing on a number less then 10 on a 6 sided dice impossible?
Answers
Answer:yes
Step-by-step explanation:
if you have two dice one dice can land on a 4 and 6
Jeff Gordon won $1,497,150 as the winner of the 2005 Daytona 500.
Sterling Marlin won $300,460 as the winner of the 1995 Daytona 500. About
how many times more money did Jeff Gordon win than Sterling Marlin?
Answers
Answer:
4.9 times can I have brainliest
What is the equation of the line that is perpendicular to the line defined by the equation 2x = 4y – 8 and goes through the point (1, 2)?
Answers
The equation of the perpendicular line is y = -2x + 4
How to determine the line equation?The line equation is given as:
2x = 4y - 8
Make y the subject
4y = 2x +8
Divide by 4
y = 0.5x + 2
The slope of the above equation is
m = 0.5
The slopes of perpendicular lines are opposite reciprocals.
This means that, the slope of the perpendicular line is:
n = -1/m
This gives
n = -1/0.5
n = -2
The equation is then calculated as:
y = n(x - x1) + y1
This gives
y = -2(x - 1) + 2
Expand
y = -2x + 2 + 2
Evaluate
y = -2x + 4
Hence, the equation of the perpendicular line is y = -2x + 4
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Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim xâ[infinity] x + x2 1 â 5x2
Answers
Answer:
\(\frac{1}{5}\)
Step-by-step explanation:
Given the expression;
\(\lim_{x \to \infty} \dfrac{x+x^2}{5x^2}\)
To find the limit of the function, we need to first divide through by the highest degree if x i.e x² as shown;
\(\lim_{x \to \infty} \dfrac{\frac{x}{x^2} +\frac{x^2}{x2}}{\frac{5x^2}{x^2} }\\ \lim_{x \to \infty} \frac{\frac{1}{x}+ 1 }{5}\\As \ x \ tends \ to \ \infty, \ \frac{1}{x} \ tends \ to \ zero. \ Hence;\\ \lim_{x \to \infty} \frac{\frac{1}{x}+ 1 }{5} = \frac{0+1}{5}\\= \dfrac{1}{5}\)
Hence the limit of the function as x tends to infinity is \(\frac{1}{5}\)
The area of the parallelogram is 31.5 cm? What is the parallelogram's height?
b=3.75 cm
Answers
Answer:
\( \boxed{\sf Height \ of \ parallelogram \ (h) = 8.4 \ cm} \)
Given:
Area of parallelogram (A) = 31.5 cm²
Base of parallelogram (b) = 3.75 cm
To Find:
Height of parallelogram (h)
Step-by-step explanation:
Area of parallelogram (A) = Base (b) × Height (h)
31.5 = 3.75 × h
h × 3.75 = 31.5
h = \( \sf \dfrac{31.5}{3.75} \)
h = 8.4 cm
The height of the parallelogram is 8.4cm with a base of 3.75cm and an area of 31.5 sq cm.
What is a parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
The area of a parallelogram is base multiples by height as two triangles form a parallelogram.
Given, The area of the parallelogram is 31.5 sq cm and the base is 3.75 cm.
We know the area of a parallelogram is base×height.
∴ h×3.75 = 31.5.
h = (31.5/3.75) cm.
h = 8.4 cm.
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Please answer! Its a easy question just tell me answer
Answers
Nancy believes that the average running time of movies is equal to 140 minutes. A sample of 4 movies was taken and the following running times were obtained. Assume the distribution of the population is normally distributed. 150 150 180 170
a. State the null and alternative hypotheses.
b. Using a critical value, test the hypothesis at the 10% level of significance.
c. Using a p-value, test the hypothesis at the 10% level of significance.
d. Using a confidence interval, test the hypothesis at the 10% level of significance.
e. Could a Type II error have been committed in this hypothesis test?
Answers
Answer:
a; H0: u= 140 Ha: u ≠ 140 two tailed test.
b. Therefore reject H0 as t= 3 ≠ t≤ t ( ∝/2) (n-1) =2.353 or
3 > t ( ∝/2) (n-1) =2.353
c. If we check from the table the p- value is 0.6 which lies between 0.1 and 0.05 therefore reject H0.
d. Again reject H0 as 140 < 150.163
e. A type II error has not been committed as H0 is rejected.
Step-by-step explanation:
We formulate the null and alternative hypotheses as
a; H0: u= 140 Ha: u ≠ 140 two tailed test.
For a two tailed test the significance level ∝= 0.1 the critical region is given by
t ≤ t ( ∝/2) (n-1) and t > t ( ∝/2) (n-1)
So the critical region will be
t≤ t ( ∝/2) (n-1) =2.353
where
t= x` - u / s/ √n
Sr. No X X²
1 150 22500
2 150 22500
3 180 32400
4 170 28900
∑ 650 106,300
X`= ∑x/n = 650/4= 162.5
s²= 1/n-1 (x-x`)²= 1/n-1 [ ∑x² -(∑x)²/n ]
= 1/3[106,300 -650²/4] = 225
s= 15
Putting the values in the above equation
t= 162.5- 140/ 15/ √4
t= 3
So calculated value of t= 3
b. Therefore reject H0 as t= 3 ≠ t≤ t ( ∝/2) (n-1) =2.353 or
3 > t ( ∝/2) (n-1) =2.353
c. If we check from the table the p- value is 0.6 which lies between 0.1 and 0.05 therefore reject H0.
d. a 90% confidence interval based on the calculated values will be
x`± 1.645 (s)/ √n
Putting the values
162.5 ±1.645 ( 15/2)
162.5 ±12.3375
174.84 , 150.163
d. Again reject H0 as 140 < 150.163
e. A type II error has not been committed as H0 is rejected.
Identify the polygon that has vertices A(−10,−1), P(−7,3), E(−3,0), and X(−6,−4), and then find the perimeter and area of the polygon.
Answers
Answer:
square; perimeter 20 units; area 25 square units.
Step-by-step explanation:
As the attachment shows, each side of the polygon is the hypotenuse of a 3-4-5 right triangle, so has length 5 units. The perimeter is the sum of those lengths, 4×5 = 20; the area is the product of the lengths of adjacent sides, 5×5 = 25.
The figure is a square of side length 5 units.
The perimeter is 20 units; the area is 25 square units.
Bryan drew a triangle with vertices at (4,1), (1, 3), and (2,-3). He slides the triangle 3 units to the left to create an image. What are the vertices of the image?
Answers
-8x+44\geq 60 \quad \maroonC{\text{ AND}} \quad -4x+50 -2x>−2x, is greater than, minus, 2 (Choice B) B x\leq -2x≤−2x, is less than or equal to, minus, 2 (Choice C) C x=-2x=−2x, equals, minus, 2 (Choice D) D There are no solutions (Choice E) E All values of xxx are solutions
Answers
Answer:
Use a website named to get math equation answersStep-by-step explanation:
wuieufheufheufhieuhdsjjdhfjdhjshkjhdjkhjdhfjkdhsjfhjdhskjfds
evaluate -3 + (-4) * (-8)
Answers
Step-by-step explanation:
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15
25
15
23
15
23
17
21
21
19
15
a.) The standard deviation is(round to two decimal places)
b.) The variance is(round to one decimal place)
c.) The range is
Answers
PLEASE HELP WORTH 25 POINTS
Model with Mathematics The outline of a park is
shown in the diagram. Each square on the grid represents
a square yard. Use shapes to model the area of the park.
Explain your reasoning and justify your calculations.
Answers
Answer:
We are trying to calculate the area of the park by modeling it with shapes. To start, the larger rectangle (green) toward the top is the easiest to calculate. Its length is 8 yards and its width is 4 yards, so the area would be 8 x 4 = 32 yards^2.
Next, the 3 rectangles at the bottom (white). The one in the middle has a length of 4 yards and a width of 3 yards, so its area is 4 x 3 = 12 yards^2. The two rectangles to either side are the same size, so together their area will be 2 x 4 x 3 = 24 yards^2.
Now that we have modeled the park with 3 shapes, we need to add the areas together to get the total area. So, we have 32 + 12 + 24 = 68 yards^2. The total area of the park is 68 yards^2.
Step-by-step explanation:
The area of the park is about :
95 + 27 = 122 yards
We have the following information available from the question is:
The outline of a park is shown in the diagram. Each square on the grid represents a square yard. Use shapes to model the area of the park.
Now, According to the question:
Each square on the grid represents a square yard, and as we can see from the figure that the complete square is about 95, the incomplete grid is about 27,
So the area of the park is about :
95 + 27 = 122 yards
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HELPPPP I NEED HELP PLEASE IT'S MATH
Answers
Answer:
b. 5, 11, 6
Step-by-step explanation:
Let the sides of a triangle be a, b, and c, where a < b < c. Then, we know that a + b > c. If we use this identity to solve this problem, then we can find that answer choice b does not satisfy it. Thus, b does NOT have the lengths of a triangle.
25Sketch the graphs of the following equations.y=x+5, y =-(x+5), and y = x+5yer-
Answers
Given the equations:
y = x+5
y = -(x+5)
y = |x+5|
The graphs of the given equations are:
ANSWER
y = x+5:
y = -(x+5):
y = |x+5|:
From 15 men and 11 women, how many committees of 10 persons can be chosen if each committee is to have exactly 8 men?
Answers
Answer:
1
Step-by-step explanation:
There are 15 men in total;
If each committee is to have 8 men (and assuming one man cannot be in multiple committees), we can simply do the following:
15/8 = 1.875
This means only 1 committee can be made containing exactly 8 men.
You can also think of it like this:
If 8 men make up 1 committee, then this leaves 7 (15 - 8) men left;
Since you need 8 men, there is not enough for a second committee (once again, assuming that one man cannot be in more than one committee).
Will someone help me with this basic geometry?
Answers
The value of x in the right angle placed is equal to 16
Right AnglesA right angle is an angle that measures 90 degrees. It is the most commonly seen angle in our day-to-day life. It can be seen in the corners of a room, the edges of boxes, the screen of a mobile phone, and so on. The sides of a square and a rectangle always form a right angle with each other. In radians, it is represented as π/2. Let us discuss more about a right angle in this article.
A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.
In the given question, we can set an equation and find the value of x
90 = 26 + 4x
Lets solve for x
4x = 90 -26
4x = 64
x = 16
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A standard deck of playing cards contains 52 total cards, 13 of which are "spades".
Suppose you and a friend are playing a game. You can choose any two cards from the deck without looking. If the two cards you choose are both spades, you win!
You pull out one card, and then another, without putting the first one back.
What is the approximate probability that you win? Are your two choices independent or dependent events?
6%, Independent
6%, Dependent
11%, independent
11%, Dependent
Answers
The probability that you win is 6%, and the two choices are dependent events option (B) is correct.
What is probability?
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
A standard deck of playing cards contains 52 total cards, 13 of which are "spades".
The probability of the first draw:
Probability = favorable outcomes/total outcomes
First draw: 1/4
For the second draw:
Second draw = 12/51
The probability that you win = (1/4)(12/51) = 3/51
In percent:
= (3/51)x100
= 5.88 = 6%
Thus, the probability that you win is 6%, and the two choices are dependent on events option (B) is correct.
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After closing the temporary owners' equity accounts into Income Summary, and after allocating the net income and closing the partners' drawing accounts, assume the partners' capital accounts had credit balances as follows: Ryan, $40,000; O'Malley, $60,000; Sullivan, $45,000. Partners share profits and losses as follows: Ryan, 20%; O'Malley, 30%; and Sullivan, 50%. If Sullivan retired and withdrew $40,000 in settlement of his/her equity and settlements are allocated according to capital interests, the amount entered in Ryan's capital account would be a
Answers
The amount entered into Ryan's capital account would be $28,965.52.
We have,
First, let's calculate the total amount of capital before Sullivan's withdrawal:
Total Capital = Ryan's Capital + O'Malley's Capital + Sullivan's Capital
Total Capital = $40,000 + $60,000 + $45,000
Total Capital = $145,000
Next, we need to calculate the share of profits for each partner:
Ryan's Share = 20% of Net Income
O'Malley's Share = 30% of Net Income
Sullivan's Share = 50% of Net Income
Since we don't have the Net Income, we cannot calculate the shares of profits.
Now, we can calculate the remaining capital after Sullivan's withdrawal:
Remaining Capital = Total Capital - Sullivan's Withdrawal
Remaining Capital = $145,000 - $40,000
Remaining Capital = $105,000
Finally, we can allocate the remaining capital according to the capital interests:
Ryan's Share = Ryan's Capital / Total Capital * Remaining Capital
Ryan's Share = $40,000 / $145,000 * $105,000
Ryan's Share = $28,965.52
Therefore,
The amount entered into Ryan's capital account would be $28,965.52.
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Use substitution to solve the system of equations. How many solutions are there? 1/2x - 1/3y=5 x = 2/3 y + 10
Answers
find fourier transform f(x)=1\|x|
Answers
Answer:
Step-by-step explanation:
Which sequence of transformations proves that shape I is similar to shape II?
A.
a reflection across the x-axis, and then a translation 6 units right
B.
translation 6 units right, and then a 90° clockwise rotation about the origin
C.
a 180° counterclockwise rotation about the origin
D.
a reflection across the y-axis, and then a translation 4 units up
E.
a reflection across the x-axis, followed by a 180° counterclockwise
rotation about the origin, and then a translation 4 units down
Answers
Answer:
D
Step-by-step explanation:
The shape I is a reflection across the y-axis, and then a translation 4 units up of shape II. Then the correct option is D.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape, but flipped the image.
Translation does not change the size and shape, but changes the location of the geometry.
The shape I is a reflection across the y-axis, and then a translation 4 units up of shape II.
Then the correct option is D.
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How do I find the answer to this question?
Answers
Answer:
you see
Step-by-step explanation:
i need help pls!
this test is about angles, and i am having trouble with it.
Answers
Answer:
x = 9
Step-by-step explanation:
congruent angles have the same measure as each other
so;
4x + 14 = 6x - 4
(rearrange)
14 + 4 = 6x - 4x
(solve)
18 = 2x
(simplify)
18 divide 2 = 9
so;
9 = x
a household consists of a married couple, their twin three-year-old sons, and their twin eight-year-old daughters. the couple's children had no income and lived with their parents all of last year. how many exemptions can the couple claim on last year's tax return if they file with the "married filing jointly" status?
Answers
Considering that they filed the taxes using the "married filing jointly" status, six exemptions can be claimed by the couple.
What is the meaning of "married filing jointly" tax status?If a person and their spouse file taxes using the "married filing jointly" status, it means that two exemptions are claimed, one for the person and one for the spouse.
For this problem, the exemptions are given as follows:
Two for the couple, as they use the "married filing jointly" status.A total of four for the children, one for each children, considering that they have two children.2 + 4 = 6.
Hence:
Considering that they filed the taxes using the "married filing jointly" status, six exemptions can be claimed by the couple.
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Answer:
6
Step-by-step explanation:
simple 2+4=6
Select all the algebraic expressions equivalent to m5/n5
A: (mn–1)5
b: (mn)5
C :[(mn2)]–3
d: (mn)–5
e: m5n–5
Answers
I don't know the answer lol
Answers
Answer:
The answer is B
Step-by-step explanation:
what did i do wrong? how do i do y-int?
Answers
A positive integer is 6 less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is frac(5,9), then find the two integers.
Answers
The two integers are equal to 1 and 7 respectively.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Let x represent the smaller number. Then the given relationships say ...
1/x + 2/(x+6) = 9/7
Multiplying by 7x(x+6), we have ...
7(x+6) +14x = 9x(x+6)
9x² +54x = 21x +42 . . . . .eliminate parentheses, swap sides
9x² +33x = 42 . . . . . . . . ...subtract 21x
3x² +11 -14 = 0 . . . . . . . . . .subtract 42 and divide by 3
(3x +14)(x -1) = 0 . . . . . . . . factor
Values of x that make this true are x = 1 and x = -14/3. Then for the positive integer x=1, the other integer is x+6=7.
Therefore, the two integers are equal to 1 and 7 respectively.
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