Answer:
LQ = 54
Median = 69
UQ = 94
Step-by-step explanation:
This list is already sorted for you, so you don't need to worry about that, otherwise you would need to sort the numbers in ascending order. To find the median, we do [tex]\frac{n+1}{2}[/tex], where n is the amount of numbers. This gives us 4, so the median is at position 4, so the median is 69. The lower quartile is simply [tex]\frac{n+1}{4}[/tex], so 2, so the lower quartile is 54. The upper quartile is [tex]\frac{n+1}{2} X 3[/tex], so 6, so the upper quartile is 94.
LCM of two numbers is 1134 and HCF is 18. if one of the numbers is 162, find the other. number.
=====================================================
Work Shown:
Let x and y be the two numbers.
We're given x = 162 and the variable y is unknown.
We're also given LCM = 1134 and HCF = 18
So,
LCM = (x*y)/HCF
1134 = 162*y/18
1134 = (162/18)y
1134 = 9y
9y = 1134
y = 1134/9
y = 126
The other number is 126
---------------------
Notice that
162 = 18*9126 = 18*7showing that 18 is the highest common factor (HCF) of the numbers 162 and 126. This partially confirms the answer.
Now let,
A = multiples of 162B = multiples of 126So,
A = 162, 324, 486, 648, 810, 972, 1134, 1296, ...B = 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, ...We see that 1134 is in each list of multiples and the smallest such common item. So the lowest common multiple (LCM) of 162 and 126 is 1134. This helps fully confirm the answer.
What is 8 hours and 37 minutes converted into minutes?
Answer:
517 minutes
Step-by-step explanation:
Hope this helps:))
Answer:
517 mins
Step-by-step explanation:
1hour=60min
8hour=480min
37min is the same because it is already in minutes
480+37=517mins
If [tex]x^{2} + y^{2} = 6[/tex] and [tex]x + y = \sqrt{7}[/tex], then what is [tex]x-y[/tex]?
Recall that
(x + y)² = x² + 2xy + y²
Then if x + y = √7 and x² + y² = 6, we have
(√7)² = 6 + 2xy ⇒ 2xy = 1
We also have
(x - y)² = x² - 2xy + y²
so that
(x - y)² = 6 - 1 ⇒ (x - y)² = 5
which means x - y has two possible values, √5 or -√5.
Sierra left $4.50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her bill before adding the tip?
Answer:
25
Step-by-step explanation:
what is 4.5 18% of
100 / 18 = 5.56
4.5 x 5.55... = 25
(1) Mr. Jones finished correcting 6 out of 7 homework assignments. Miss Smith finished
correcting 83% of that week's homework assignments. Which teacher corrected a greater
percentage of her homework assignments?
Answer:
Mr. jones
Step-by-step explanation:
6/7 is 85.71% which is greater than 83%.
Which expression shows how 8⋅54 can be rewritten using the distributive property?
4⋅50+4⋅4
50⋅8+50⋅4
8⋅50+8⋅4
8⋅50+8⋅54
Answer:
8 • 54=8 • 50 + 8 • 4
Option C is the right answer
Step-by-step explanation:
Answer:
C I think, sorry if I'm wrong
Which theme is found in this story The Lucky Ticket
Answer:
In "The Lottery Ticket", Chekhov develops the theme that the love of money can destroy one's satisfaction.
Consider f and c below. f(x, y) = x2 i + y2 j c is the arc of the parabola y = 2x^2 from (−1, 2) to (0, 0)
(a) find a function f such that f = ∇f.
f(x, y) =
(b) use part (a) to evaluate c ∇f · dr along the given curve C.
(a) If there is a scalar function f(x, y) such that ∇ f(x, y) = x² i + y² j, then
∂f/∂x = x²
∂f/∂y = y²
Integrating both of these equations with respect to x and y (respectively) gives
f(x, y) = 1/3 x³ + g(y)
f(x, y) = 1/3 y³ + h(x)
Differentiating with respect to the other variable gives
∂f/∂y = g'(y) = y²
∂f/∂x = h'(x) = x²
so it follows that
f(x, y) = 1/3 x³ + 1/3 y³ + C
for some constant C.
(b) By the gradient theorem,
[tex]\displaystyle \int_C \nabla f \cdot d\vec r = f(0,0) - f(-1,2) = \boxed{-\dfrac73}[/tex]
vnicn letter on the map indicates the location of the North China Plain?
AAA
o
О В
О С
OD
F
Answer:
The letter C
Step-by-step explanation:
North china plain runs along near the northern east border. It's territory has a noticeable river going through it, and is close to the Gulf of Jilin. A is most likely not correct, since North china plane doesn't go up that high the Yellow river. So it is safe to assume the answer is most likely C
Simplify the ratio:
42 : 28 : 21
Please explain step by step to get marked as brainliest!
Answer:
6:4:3
Step-by-step explanation:
Use 7 to simplify
7. Derek has $20 to spend on used books. Hardcover books cost $5 each and paperbacks cost $2 ea Write an equation that models the situation.
Does the expressions
[tex] \sqrt{100 - 64} [/tex]
and
[tex] \sqrt{100 - \sqrt{64} } [/tex]
have the same value?
Answer:
No. they have a difference in value
the first ans is 6 while the second gives 9.56
Principal = $ 15000, rate = 10% p.a. and time
21/5 years
PLS HELP ASAP
Answer:
Simple Interest: A=P(1+rt)
A=15000(1+(0.1*4.2))
A=$21,300
Compound Interest:A=P(1+r/n)^nt
A=15000(1+0.1/4.2)^1*4.2
A=$64,500
Step-by-step explanation:
Mary charges $5.60 per square foot of carpet, plus a $150 installation fee. How much should Mary charge the customer to the nearest cent?
Answer:
Step-by-step explanation:
Total = t
Square feet = f
t = 5.6f + 150
you didnt say how many square feet the customer wanted, but just plug it in for f and t is the answer
Answer:
375.30
Step-by-step explanation:
it's 375.302 but simplified to 375.30
a book is marked down by 28% from the original price of 19.50 what is the new price
Answer:
$14.04
Step-by-step explanation:
to find the answer we can multiply 19.5 by 28% and use that answer to subtract to 19.5 or we can just directly multiply 19.5 by 72%
19.5 * 72% = 14.04
it costs $14.04 after a markdown of 28%
How to find the inverse of 3log3(x+3)+1. Its with a base of 3
Let [tex]f^{-1}(x)[/tex] be the inverse of
[tex]f(x) = 3 \log_3 (x + 3) + 1[/tex]
Then by definition of inverse function,
[tex]f\left( f^{-1}(x) \right) = 3 \log_3 \left(f^{-1}(x) + 3\right) + 1 = x[/tex]
Solve for the inverse :
[tex]3 \log_3 \left(f^{-1}(x) + 3\right) + 1 = x[/tex]
[tex]3 \log_3 \left(f^{-1}(x) + 3\right) = x - 1[/tex]
[tex]\log_3 \left(f^{-1}(x) + 3\right) = \dfrac{x - 1}3[/tex]
[tex]3^{\log_3 \left(f^{-1}(x) + 3\right)} = 3^{\frac{x-1}3}[/tex]
[tex]f^{-1}(x) + 3 = 3^{\frac{x-1}3}[/tex]
[tex]f^{-1}(x) = 3^{\frac{x-1}3} - 3[/tex]
3.
In parallelogram ABCD, M
m
Answer:
Please send a picture or explain properly
135% as a fraction or a mixed number fully simplified please 50 POINTS + BRAINILEST
Answer:
27/20
Step-by-step explanation:
135% = 135/100 = (27/20 × 5) = 27/20 = 1 7/20 I think
Which equation best matches the graph shown below?
Answer:
y= 10x² + 7x + 2.8
Step-by-step explanation:
because the 10x was used twice then the it went to the line of 7x and went down to 2.8 then for the second time it went to 10x
Answer:
-10x^2+7x+4 Would be the correct option
Please thank my question. :)
Solve each inequality 5 + 5(x + 4) = 20
Answer:
5 x + 25 ≤ 20
Step-by-step explanation:
Simplify 5 + 5 ( x + 4 ) .
5 + 5 x + 20 ≤ 20
Add 5 and 20 .
Which type of correlation does this scatterplot show?
Answer:
i think the answer to this question is positive correlation
Step-by-step explanation:
this image below may help u
Help help math math
Answer:
y = 1/2x + 3
Step-by-step explanation:
Y= mx+b is slope-intercept form, m is for slope, and b is for my y-intercept. Also remember the pitch is the rise over the run or the y-direction over the x-direction.
In our case, they highlight 2 points to calculate the slope; looking at the graph, we can see it rises one and runs two to get to the second highlighted point at (2,4). And my slope is rise over run, so here it 1/2.
My b or y-intercept is simply three because that is where the line passes over or intercepts the Y-axis
Answer: y = 1/2 x + 3
Step-by-step explanation:
1) To solve this system of equations by elimination, what operation could be used to eliminate the y-variable and find the value of x?
2x - 4y = 6
-3x + 3y = 12
A) add 3 times the second equation to 4 times the first equation
B) add 4 times the second equation to 3 times the first equation
C) subtract 3 times the second equation from 4 times the first equation
D) subtract 4 times the second equation from 3 times the first equation
PLEASE HELP!!!
Answer:
Option B is correct.
add 4 times the second equation to 3 times the first equation
Step-by-step explanation:
Answer:
B) add 4 times the second equation to 3 times the first equation
Step-by-step explanation:
So you have these two equations:
2x - 4y = 6
-3x + 3y = 12
In order "to solve this system of equations by elimination" we want to make BOTH of the equations have a term (in this case the y term) and have the same coefficient (that's the number right next to the y) If they are the exactly same number, even the same sign in front, then we would subtract the equations. If they have the same coefficient but different signs, then we would add the equations. This will eliminate the y term completely. So in order to make them have the same coefficient. We'll multiply the first equation by 3 and the second equation by 4
3(2x - 4y = 6)
4(-3x + 3y = 12) multiplying all the way across the equation (distributing)
We'll get
6x -12y = 18
-12x + 12y = 48 Then you are actually adding from the top, down and get one equation from adding the two existing ones together.
-6x = 66 And then you are able to solve it by dividing both sides by -6 to get
x = -11
You can then use either equation and x = -11 to find y. Your solution is the x, y pair. You can check it by putting the x and y into both equations and finding it makes a true statement in both.
HELLLLPPPP QUICKKLLLYYYY PLLZZZ VIEW THE QUESTION IN THE PHOTO ATTACHED!!!!
Answer:
[tex]\sqrt{18a}[/tex]
Step-by-step explanation:
To insert the factor, you must first find its squared value, in this case, 3's squared number is 9 so.....[tex]3=\sqrt{9}[/tex]
Now with square roots, they multiply like any other number
so you end up with[tex]\sqrt{9}*\sqrt{2a} \\\sqrt{9*2a}\\\\\sqrt{18a} <------ ANSWER[/tex]
Please leave a thanks!!!
*WHOEVER SOLVES THIS RIGHT WILL GET BRAINLIEST*
Question: 67-32x=54-34 solve for X.
67-32x= 54-34
Subtract 54-34
you would get 20
67-32x= 20 (subtract 67 from both sides of the equation )
-67 -67
-32x/-32= -47/-32 (Divide -32 on the both sides )
You get a decimal :
x= 1.46875
Round this answer:
x= 1.5
Answer:
x = 47/32 or 1.46875 ( 1.5 rounded)
Step-by-step explanation:
1) Simplify 54 - 34 to 20.
67 - 32x = 20.
2) Subtract 67 from both sides.
-32x = 20 - 67.
3) Simplify 20 - 67 to -47.
-32x = -47.
4) Divide both sides by -32.
x = -47/-32.
5) Two negatives make a positive.
x = 47/32
Seven values on the number line above are marked with letters. Which letters represent integers?
What is the value of x
Answer:
5"
root4square+3square=root25
=5
How much pizza will each person get if 4 people share
of a pizza equally?
A)1/3
B)1/4
C)1/6
D)3/16
Answer: B)1/4
Step-by-step explanation: If you divide a pizza into 4 pieces, each person will get a fourth of the pizza.
Find the vale of x need help
Answer:
x=45 degrees
Step-by-step explanation:
You can see based off of the markings on the 2 sides, that it is an isosceles triangle, so that means the 2 base angles are equal.
so 2x+90=180 degrees
so 2x=90 degrees
x=45
Answer:
[tex]x=45[/tex]
Step-by-step explanation:
→a+b+c=180
→Angle a is given to be 90 degrees
→ Also the other to angles are the same length so the same angle
[tex]90+2x=180[/tex]
Step 1: Subtract 90 from both sides.
[tex]2x+90-90=180-90[/tex]
[tex]2x=90[/tex]
Step 3: Divide both sides by 2.
[tex]\frac{2x}{2} =\frac{90}{2}[/tex]
[tex]x=45[/tex]
Answer:x=45Write an equation but do not solve to show how many letters, L, it would take for these two trophies to cost the same amount.
Answer:
12 + 0.40L = 14.75 + 0.25L