Answer:
k = 7
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order.
If there is no exact middle value then the median is the average of the 2 values either side of the middle.
5 , k + 3 , 2k + 1 , 3k - 2 , 26 , 31
↑ middle
Then
[tex]\frac{2k+1+3k-2}{2}[/tex] = 17 ( multiply both sides by 2 to clear the fraction )
5k - 1 = 34 ( add 1 to both sides )
5k = 35 ( divide both sides by 5 )
k = 7
The value of k is 7 if 5, k+3, 2k+1,3k-2, 26, and 31 are in ascending order and the median of the data set is 17.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have:
5, k+3, 2k+1 ,3k-2, 26 and 31 are in ascending order
The median of the data set is 17.
The mid-terms are 2k+1 ,3k-2
(2k + 1 + 3k - 2)/2 = 17
5k -1 = 34
5k = 34 + 1
5k = 35
k = 35/5
k = 7
Thus, the value of k is 7 if 5, k+3, 2k+1,3k-2, 26, and 31 are in ascending order and the median of the data set is 17.
Learn more about the median here:
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Solve the simultaneous equation
3x-4y=11
9x+2y=5
Answer:
I assume you are looking for the x and y values of the two equations? if not message me!
y=–2
x=1
Step-by-step explanation:
Multiply the first/top tearm by –3 so we can "get rid of" the X's with the addition of both equations. we are then left with: 14y=-28
We can now divide both sides by 14 to get y by itself so we are left with: y=–2
plugging our y value back into the first equation we get: 3x+8=11. we subtract 8 from both side and are left with: 3x=3. dividing both side by 3 we can get x by itself and are left with: x=1
To check, we plug x and y both into the first equation we get: 3+8=11 (which it does). Or we can plug both of them into the second equation and we get:9-4=5 (which it does)
Answer:
Below in bold.
Step-by-step explanation:
3x-4y=11
9x+2y=5
Multiply the first equation by 3:
9x - 12y = 33
Subtract the above from the second equation:
2y - (-12y) = 5 - 33
14y = -28
y = -2.
Now plug y = -2into the first equation:
3x - 4(-2) = 11
3x = 11 - 8 = 3
x= 1.
Help please I really don’t understand SOS Due today
Answer:
Step-by-step explanation:
28 > 6x - 2
28 + 2 > 6x - 2 + 2
30 > 6x
5 > x or x < 5
theres the picture i dont know how to write it out.
Answer:
x > -2
Step-by-step explanation:
As the circle in the number line is not filled, it will not include -2 and as the number line starts from -2 and goes right it will be x > -2.
Hope this helps!!
The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
Answer the questions to solve the equations and to compare the steps and solutions.
1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40?
Circle the best answer.
Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2
2. What would your next step be?
Write your answer in the space below.
3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work.
Write your answer in the space below.2(x +14) = 40 (use the distributive property)
2x + 28 = 40 (solve exactly like you did for Fran)
2x = 12
x = 6
4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40?
Circle the best answer.
Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides
5. What would your next step be?
Write your answer in the space below.
6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work.
Write your answer in the space below.
7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.
Write your answer in the space below
Answer:
Below.
Step-by-step explanation:
1. Divide both sides by 2.
2. After dividing both sides by we would have:
x + 14 = 20
The next step would be
Subtract 14 from both sides.
3. 2(x + 14) = 40
x + 14 = 20
x = 20 - 14
x = 6.
2x + 28 = 40
2x = 40 - 28
2x = 12
x = 6.
On a coordinate plane,△FGH is formed with the vertices at point F(0,−2), point G(1,0) , and point H(2,−3) . Which expression can be used to determine the perimeter, in units, of△FGH ?
A
(0−1)2+(−2−0)2−−−−−−−−−−−−−−−−√+(1−2)2+(0−(−3))2−−−−−−−−−−−−−−−−−−√+(2−0)2+(−3−(−2))2−−−−−−−−−−−−−−−−−−−√
B
(0−(−2))2+(1−0)2−−−−−−−−−−−−−−−−−−√+(1−0)2+(2−(−3))2−−−−−−−−−−−−−−−−−−√+(2−(−3))2+(0−(−2))2−−−−−−−−−−−−−−−−−−−−−√
C
(0+1)2−(−2+0)2−−−−−−−−−−−−−−−−√−(1+2)2−(0+(−3))2−−−−−−−−−−−−−−−−−−√−(2+0)2−(−3+(−2))2−−−−−−−−−−−−−−−−−−−√
D
(0+(−2))2−(1+0)2−−−−−−−−−−−−−−−−−−√+(1+0)2−(2+(−3))2−−−−−−−−−−−−−−−−−−√+(2+(−3))2−(0+(−2))2−−−−−−−−−−−−−−−−−−−−−√
Answer:
the answer i think is B
Step-by-step explanation:
Answer: B
Step-by-step explanation:
why (0.0) (3.4) (6.8) (6,12) not a function
Answer:
Step-by-step explanation:
Look at the first elements of the four points: {0, 3, 6, 6}. The element 6 appears twice and is associated with two different second elements: {8, 12}. That tells us immediately that this is not a function.
plssss help picture down below
Answer:
it is (-4,1)
Step-by-step explanation:
Hope this helps:)
What did she do wrong? What can she do to prevent this?
Answer:
y = 8x + 14 (8x is WRONG)
This is how it is supposed to be
y - 2 = 6x + 12
y = 6x + 14
She must combine like terms, not unlike terms
Can someone help me. All i need o know is what is the value after 10 years i done the equation part by myself
NO BOTS OR ILL REPORT YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
ILL GIVE BRAINLY TO CORRECT ANSWER
100 points
Answer:
$4811
Step-by-step explanation:
Initial price = 35,000
18% decrease anually = 18/100 = -0.18
after 10 years
substitute these values in the formula shown in below figure
A = 35000 * ( 1 + -0.18/1 ) ^10
= 35000 * 0.82^10
= 4,810.681
= $4811
What is the slope of the line ( part 2 )
Answer:
[tex]m=-\frac{1}{2}[/tex]
Step-by-step explanation:
Same as last time, take any 2 points you want:
(0, 3) and (4, 1)
Use the slope formula to calculate the slope:
[tex]m=\frac{1-3}{4-0}\\m=\frac{-2}{4}\\m=-\frac{1}{2}[/tex]
On small problems like these, you don't really even need to calculate it like that. You can just look at the graph, see that it goes down 1 and over 2 from one point to the next, and have your slope that way. Again, rise over run. It "rises" by -1, and runs by 2. -1 over 2, there's your slope.
Which figure in the drawing best represents a dilation of figure A with a scale factor of 1.5?
A.r
b.q
c.s
d.t
If Ram had 5 apples in house , now calculate the number of apple's in his neighbours house .
Answer:
Ram's neighbors probably had more apples than Ram.
Hence, number of apples in the neighbor's house is equal to [tex] \geqslant 5[/tex].
Step-by-step explanation:
Hello bro ufff.... Finally found u xD-,-
I need help on 26 please and thank you
Answer:
your answer is 1.65 or E :)
7x-15y=2 , x+2y=3 By subtition method
Answer:
([tex]\frac{49}{29},\frac{19}{29}[/tex])
Explanation:
7x - 15y = 2 (1)
x + 2y = 3 (2)
x + 2y = 3
x + 2y - 2y = 3 - 2y
x = 3 - 2y (3)
Substitute (3) to (1)
7x - 15y = 2
7(3 - 2y) - 15y = 2
21 - 14y -15y = 2
21 - 21 - 29y = 2 - 21
-29y = -19
y = [tex]\frac{19}{29}[/tex] (4)
Plug (4) into (2)
x + 2y = 3
x + 2[tex]\frac{19}{29}[/tex] = 3
x + [tex]\frac{38}{29}[/tex] = 3
x = 3 - [tex]\frac{38}{29}[/tex]
[tex]x = \frac{87}{29}-\frac{38}{29} =\frac{49}{29}[/tex]
([tex]\frac{49}{29},\frac{19}{29}[/tex])
6) Convert 2pie/3 to degrees
A) 30°
B) 60°
120°
D) 240°
a canine's body temperature is considered to be normal if it is 101 degrees Fahrenheit with an absolute deviation of 1.5 degrees Fahrenheit.
A. write an absolute value inequality that represents the normal temperature range. B.solve the inequality. what is the normal temperature range?
Answer:
Please I don't understand the question or maybe I'm too young for the question I'm so sorry
Use the distributive property to
expand the expression below.
6(2a – 3) = [?]a - [ ]
Answer:
12a - 18
Step-by-step explanation:
6 x 2 = 12 (then add the "a" = 12a
6 x 3 = 18
put the minus in the middle then get
12a- 18
Find the unit rate.
12 laps in 30minutes
Answer:
0.4/1
Step-by-step explanation:
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 30
does anyone know what the answers are to this question? thank you sm if you help!! :)
4. Algebra If in one year a city
recorded a total of 97 rainy days,
how many of the days did it NOT
rain? Write and solve an equation.
Answer:
268.25
Step-by-step explanation:
by using the fact that one year is 365.25 days, we can subtract our 365.25 by our 97 to get 268.25, written in the equation of 365.25-97=268.25
*edit, messed up how long a year was, corrected my issue, answer & equation.
Answer:
Step-by-step explanation:
How many did not rain is 268 because if you take away 97 from 365 ofcourse it will be 268 you’re welcome
-4x + 60 < 72 or 14x + < -31
x=31/14
Step-by-step explanation:
I did the second one btw
A diameter of a circle measures 58cm. What is the length of its radius
Answer:
29cm
Step-by-step explanation:
a radius is half of a diameter so half of 58cm is 29cm.
i hope this helps have a good day
Solve and graph each of the following. Show your work to receive full credit.5x – 6 – 8x ≤ 9
Answer: x> or equal to -5
Step-by-step explanation:
5x – 6 – 8x ≤ 9
Combine the lioe numbers
-3x-6≤ 9
+6 to both sides
-3x≤ 15
Divide by a -3 to both sides
X>or equal to -5
Hope that helps
Graph a right triangle with the two points forming the hypothenuse, Using the sides, find the distance between the two points, to the nearest tenth if necessary (3. -7) and 8. -3)
Answer:
That distance is 6.4
Step-by-step explanation:
The legs of the triangle form a right angle. The bottom leg has length 8 - 3, or 5, and the vertical leg -3 - (-7), or 4. Applying the Pythagorean Theorem:
(vertical leg)^2 + (horizontal leg)^2 = (hypotenuse)^2, which here is
4^2 + 5^2 = (hypotenuse)^2
This works out to 16 + 25, or 41.
The distance between these two points is d = √41, or d = 6.4
help with my math plz
Answer:
Step-by-step explanation:
The side is S= 5 cm , and the area is A= S² = 5²= 25
If the side would be doubled will be S= 5*2 = 10 cm, and the area A= 10²=100
Compare the area of S=5 to area of S=10 , 100 = 4*25
Conclusion:
If we double the side the area is 4 times greater.
4. What are the zeroes
of y = x^2 + 2x – 8? (1 point)
-4, 2
4, 2
-4,2
4, 2
Answer:
-4,2
Step-by-step explanation:
(x-2) (x+4)=0
x-2=0
x=2
x+4=0
x= -4
Answer:
x=-4, x=2
Step-by-step explanation:
Whenever a question asks you to find the zeros of a quadratic equation, they are essentially asking you to find the x-intercepts. To find the x-intercepts, you simply need to equate y to zero and solve for x.
There are two main ways to find the intercepts - by the quadratic formula and factoring. I will demonstrate both below.
When factoring, a popular method is the diamond box method. First, make an x on your paper. In the top nook of the x, write the product of a and c in y=ax^2 +bx +c. Here, it is -8*1=-8. In the bottom nook, write the b value. Here it is 2. Find two numbers that multiply to ac or -8 and add up to b or 2 and write them in the side nooks. In this problem, they are 4 and -2 (4*-2=-8 and 4+(-2)=2). Then, make a box. On the top left corner, write the first term (here it is x^2) and on the bottom right corner write the constant term (here it is -8) and write the two values you found earlier in the remaining boxes. Now, find values that multiply to each of the respective terms. Sorry, this sounds super confusing, I have included a picture below of what the result should look like. Once you have it factored, make y equal to zero and solve for both x's. You should get x=2 and x=-4. Keep in mind, sometimes, a problem might not be factorable. If it isn't, you have to use the method below.
Another popular way to find the roots is the quadratic formula. I have included a picture of it below. All you have to do is substitute the coefficients in and solve for x. You should get two solutions in this scenario.
Answer Asap!
<3 <3 <3
Thx
Answer:
the answer is 15/17
because cosine=b/h=UV/UW=15/17
1. £1000 is invested for 2 years at 5% per annum with compound interest. Work out the total amount in the account after 2 years.
Answer:
A = £1102.50
Step-by-step explanation:
Use the compound amount formula:
A = P(1 + r)^t, where P is the principal, r is the interest rate as a decimal fraction, and t is the number of years.
Here A = £1000·(1 + 0.05)^2, which evaluates to A = £1102.50
. Suha has a full 600 ml bottle of wallpaper remover. She is going to mix some of the wallpaper remover with water. Here is the information on the label of the bottle. Wallpaper remover 600 ml 1 Mix of the wallpaper remover 4 with 4500 ml of water Suha is going to use 750 ml of water. How many millilitres of wallpaper remover should Suha use? You must show your working.
Answer:
25ml of wallpaper remover
Step-by-step explanation:
(y = amount of wallpaper remover)
4500×4 = 18000
18000:600
750 : y
18000y = 600×750
18000y = 450000
y = 450000÷18000
y = 25
The lenght of a rectangle exceeds it width by 2cm. If area of the rectangle is 80 cm The lenght of the rectangle is ?
Answer:
[tex]x4 - (9x5)[/tex]
yan npo wag puro brainly
Answer:
The answer is l =40cm