If x = 0.888…, then 10x = 8.888… and
10x - x = 9x = 8 ==> x = 8/9
How to find interquartilte range
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Explanation:
Each x represents a data point location.
So, for example, having an x over 60 means 60 is part of the set.
The set of values we're working with is
{59,60,61,63,63,64,66,68,70,71,71,73}
The repeated values are due to the fact we have a stack of two 'x' markers, and they occur at 63 and 71.
To find the IQR (interquartile range), we'll first need to find the median of this set. That's the middle most value.
Count out the number of values to find that there are n = 12 values.
The list splits into two halves that are n/2 = 12/2 = 6 items each
Between slots 6 and 7 is where the median is located.
The value in slot 6 is 64 and the value in slot 7 is 66. Average those two items to get (64+66)/2 = 65
The median is 65
---------------------------------
Next, we'll form two groups L and U such that
L = set of items lower than the median
U = set of items larger than the median
Because n is even, we simply just break the original set into two equal groups (6 items each)
L = {59,60,61,63,63,64}
U = {66,68,70,71,71,73}
The values of Q1 and Q3 represent the medians of L and U in that order.
The median of set L is (61+63)/2 = 62, so Q1 = 62
The median of set U is (70+71)/2 = 70.5, which is Q3
-----------------------------------
To summarize everything so far, we have found
Q1 = 62Q3 = 70.5Subtract those items to get the IQR
IQR = Q3 - Q1
IQR = 70.5 - 62
IQR = 8.5 which points us to choice C as the final answer.
what is 2/3 divide by 2/9
Answer:
3
Step-by-step explanation:
(2/3)/(2/9) = (2/3) * (9/2) = 3
Alec pulled a couch 3 meters, using a force of 400 N. The couch weighed 200 N. How do you calculate the work done by Alec?
A . Add 400 to 200
B . Divide 400 by 3
C . Multiply 200 by 3
D . Multiply 400 by 3
Answer:
D
Step-by-step explanation:
It is because work is done when a force cause an object to move in the direction of the applied force.
so work is equal to force × distance
Find the area of the shape:
Answer:
(8×6)+2×((14+6)×6)
=48+2×(20×6)
=48+240
=288
Step-by-step explanation:
please mark me as brainliest
arshad's father bought x sweets .(x-4)were eaten by children and 20 were left.how many sweets did his father bring
Answer:
24
Step-by-step explanation:
20+4
simple
x-4=20
x=20+4
x=24
mark me as brainliest
Answer:
24 sweets
Step-by-step explanation:
Remaining sweets = 20
x - 4 = 20
Add 4 to both sides.
x = 20 +4
x = 24
Scott and Ashley each improved their yards by planting daylilies and ivy. They bought their
supplies from the same store. Scott spent $170 on 12 daylilies and 13 pots of ivy. Ashley spent
$172 on 14 daylilies and 2 pots of ivy. What is the cost of one daylily and the cost of one pot of
ivy?
Answer:
x = cost of daylily = $12
y = cost of ivy = $2
Step-by-step explanation:
Let
x = cost of daylily
y = cost of ivy
Scott:
12x + 13y = 170
Ashley:
14x + 2y = 172
12x + 13y = 170 (1)
14x + 2y = 172 (2)
Multiply (1) by 14 and (2) by 12
168x + 182y = 2380 (3)
168x + 24y = 2064 (4)
Subtract (4) from (3) to eliminate x
182y - 24y = 2380 - 2064
158y = 316
y = 316/158
y = 2
Substitute y = 2 into (1)
12x + 13y = 170 (1)
12x + 13(2) = 170
12x + 26 = 170
12x = 170 - 26
12x = 144
x = 144/12
x = 12
x = cost of daylily = $12
y = cost of ivy = $2
What is the surface area of a cube measure 8 c/w?
Answer:
512
Step-by-step explanation:
if 8 is the edge using the formula
V=a³=8³
V=512
the third term and the fifth term of a geometric progression are 2 and 1/8 respectively. If all terms are positive, find the sum to the infinity of the progression
Answer:
42 + 2/3
Step-by-step explanation:
First, to calculate the sum of an infinite geometric series, our formula is
a₁/(1-r), with a₁ being the first term of the series and r being the common ratio. Therefore, we want to find both a₁ and r.
To find r, we can first determine that 2 * r = a₄ and a₄ * r = a₅, as the ratio separates one number from the next in a geometric series. Therefore, we have
2 * r * r = a₅
2 * r² = 1/8
divide both sides by 2 to isolate the r²
r² = 1/16
square root both sides to isolate r
r =± 1/4. Note the ± because r²=1/16 regardless of whether r = 1/4 or -1/4. However, because all terms are positive, r must be positive as well, or a₄, for example, would be 2 * (-1/4) = -0.5
Therefore, r = 1/4 .
To find the first term, we know that a₁ * r = a₂, and a₂ * r = a₃. Therefore, a₁ * r² = a₃ = 2
a₁ * 1/16 = 2
divide both sides by 1/16 to isolate a₁
a₁ = 2 * 1/ (1/16)
= 2 * 16
= 32
Plugging a₁ and r into our infinite geometric series formula, we have
a₁/(1-r)
= 32 / (1-1/4)
= 32/ (3/4)
= 32/ 0.75
= 42 + 2/3
U
w
R
Which angles
are adjacent?
T
S
A. RWS and UWT
B. UWT and SWR
C. UWT and TWU
D. RWS and SWT
Answer:
D. RWS and SWT
Step-by-step explanation:
Adjacent angles have a common side and a common vertex but they don't overlaps each other
The two angles that has these requirements are :
RWS and SWT
The two angles are said to be adjacent angles when they share the common vertex and side.
So , adjacent angles are :
RWS and SWTOption D is the correct answer.
I'LL GIVE BRAINLIEST !!! FASTER
please explain how do you get the answer
Answer:
84°
Step-by-step explanation:
angles in a quadrilateral add to 360°. 360-(114+76)=5x =170°. 170°/5 = 32°. x=32°
angles on a straight line add to 180°.
2x = 64°. 180-64=116°. y=116°.
y-x = 116-32 = 84°
Answer:
[tex]78[/tex]
Step-by-step explanation:
The inner angles of a quadrilateral all add up to 360. This means we can write the following
[tex]114 + 76 + 3x + 2x = 360\\190 + 5x = 360\\5x = 170\\x = 34[/tex]
Now that we have x we can find y. Notice that y and 2x are on the same line. Any line cutting another straight line will create two angles that add up to 180.
Therefore we can write
[tex]2x + y = 180\\2(34) + y = 180\\y = 112[/tex]
Finally computing y - x
[tex]y - x = 112 - 34 = 78[/tex]
the tub started with gallons of water
Answer:
huh?
Step-by-step explanation:
Please help me solve this problem
Answer:
-4
they wanted you to compute using x as 3
-2*3 + 2 = -4
Step-by-step explanation:
đồ thị hàm số có bao nhiêu tiệm cận
Answer:
c
Step-by-step explanation:
Correct gets 5 stars and brainliest
Answer:
13 mi
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 +12^2 = c^2
25+144 = c^2
169 = c^2
Taking the square root of each side
sqrt(169) = sqrt(c^2)
13 = c
I need HELP ASAP!! Please explain how to solve the problem
Answer:
[tex](x+1)^2+(y+4)^2=9\\[/tex]
Step-by-step explanation:
The general format for the equation of a circle is the following:
[tex](x-h)^2+(y-k)^2=a^2\\[/tex]
Where [tex](h,k)[/tex] is the center of the circle and ([tex]a[/tex]) is the circle's radius. Please note, that the circle ([tex](x-h)^2+(y-k)^2=a^2\\[/tex]) has a center that is (h) units to the right of the origin, and (k) units above the origin.
The given circle has a center at [tex](-1,-4)[/tex], moreover, its radius is (3) units. Therefore, one must substitute these points into the equation of a circle and simplify to find its equation:
[tex](x-h)^2+(y-k)^2=a^2\\[/tex]
[tex](x-(-1))^2+(y-(-4))^2=(3)^2\\[/tex]
[tex](x+1)^2+(y+4)^2=9\\[/tex]
Answer:
Step-by-step explanation: Let's first determine the center of the circle
which is represented by the red dot and it has the coordinates (-1, -4).
The radius of the circle is a segment that joins the center of the
circle to a point on the circle and all radii of a circle are congruent.
The radius of the circle shown here is 3.
Now, the equation of a circle is (x - h)² + (y - k)² = r² where
(h, k) is the center of the circle and r is the radius.
Now we plug all our given information into the formula.
So we have [x - (-1)]² + [y - (-4)]² = (3)².
Notice that I changed the parentheses in the formula to brackets
so that we wouldn't be dealing with too many sets of parentheses.
Changing the brackets back to parentheses,
our equation is (x + 1)² + (y + 4)² = 9.
A student simplified the rational expression
using the steps shown.
(x^2/5 • x^4/5 / x^2/5)^1/2 = (x^6/5/x^2/5)^1/2=(x^3)^1/2=x^3/2
Is the answer correct? Explain.
Answer:
Does the answer help you?
Answer:
[tex]\textbf{No, the answer is not correct }[/tex].
Step-by-step explanation:
The student didn't use the quotient of powers property correctly. Instead of subtracting, the student divided the exponents within the parenthesis. So, x to the two-fifths power is the correct simplified form.
[tex](\frac{x^{2/5}\times x^{4/5} }{x^{2/5} } )[/tex]
[tex]=(\frac{x^{6/5} }{x^{2/5} } )^{1/2}[/tex]
[tex]=x^{6/5-2/5} )^{1/2}[/tex]
[tex]=(x^{4/5} )^{1/2} =x^{2/5}[/tex]
OAmalOHopeO
Find the first five terms. Please solve
Answer:
a1=3, a2=6, a3=12, a4=24, a5=48
Step-by-step explanation:
a7=a*r^6=192
a10=a*r^9=1536, r^3=8, r=2 and a=3
a1=3, a2=6, a3=12, a4=24, a5=48
How many people can Liam buy lunch for
Answer:
At most, Liam can only buy lunch for 6 people.
Step-by-step explanation:
It isn't going to be a decimal answer because there can't be half of a person
All you have to do is divide 50 by 8 and round down because you don't want to spend more than 50 dollars.
Writing it mathematically, it would be:
p [tex]\leq[/tex] 6
pls help, and explain. I will give brainliest
Answer:
Nicole should take 13 1/8 cups of snack mix.
Step-by-step explanation:
If a serving size is 7/8 and Nicole wants to take 15 serving sizes (15 7/8's), then we must multiply 7/8 by 15:
15 × 7/8
Write 15 over 1 (15 = 15/1) to make the calculations easier:
15/1 × 7/8
Multiply the numerators and denominators separately:
15 × 7 / 1 × 8
105 / 8
Instructions don't say you have to do this but I will convert this improper fraction into a mixed number:
105/8 = 13 1/8
Please someone tell me the answer of these questions
Answer:
VERTICALLY OPP ANGLES
Step-by-step explanation:
The perimeter of a rectangle is 18cm . if the length is (x+2), find it's width.
Answer:
W = 7 - x
Step-by-step explanation:
The perimeter is P= 2L + 2×W , where L is the length and W is the width.
If L = (x+2) , replacing L with the expression x+2 we have
P= 2×(X+2) + 2W ⇔ 18 = 2x + 4 + 2W ⇔ 2W =18 - 2x - 4 ⇔ 2W = 14 - 2x
⇔ W = 7 - x
Match function with its corresponding graph
Answer:
Step-by-step explanation:
We can see that there are roots at (-2,0) and (-1,0)
also, the root at (-2,0) should bounce right off
and the root at (-1,0) should go through
With all that being said it has to be B
A garden is rectangular with a width of 8 feet and a length of 10 feet. If it is surrounded by a walkway 2 feet wide, how many square feet of area does the walkway cover?
Answer:
The rea of walk way is 32 ft^2.
Step-by-step explanation:
width, w = 8 feet
length, L = 10 feet
width of walkway, d = 2 feet
length of outer, L' = 10 + 2 + 2 = 14 feet
Area of outer, A' = L' x w = 14 x 8 = 112 ft^2
Area of inner, A = L x w = 10 x 8 = 80 ft^2
The area of walkway = A' - A = 112 - 80 = 32 ft^2
The rea of walk way is 32 ft^2.
At a particular restaurant, each slider has 225 calories and each chicken wing has 70 calories. A combination meal with sliders and chicken wings has a total of 7 sliders and chicken wings altogether and contains 1110 calories. Write a system of equations that could be used to determine the number of sliders in the combination meal and the number of chicken wings in the combination meal. Define the variables that you use to write the system.
Answer:
X+y=7
Step-by-step explanation:
i remember doing something like this but mines had the word onion rings .
(06.01)A scatter plot is shown:
A scatter plot is shown. Data points are located at 1 and 8, 2 and 7.8, 3 and 7.4, 4 and 6.5, 5 and 5.4, 6 and 4.5, 7 and 3.1, 8 and 2, 9 and 1.
ASAP:
What type of association does the graph show between x and y?
Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association
Answer:
Step-by-step explanation:
If you plot those coordinates in your calculator in the stat plot function under "stat", you will see that the dots are almost but not quite in a straight line going from upper left to lower right. This indicates a strong negative linear association, third choice down.
Answer:
D. Nonlinear Negative Association
Step-by-step explanation:
9. Find the remainder when the polynomial: p(x) = x⁴ + 2x³- 3x² + x - 1 is divided by (x - 2)
pls it's urgent
Answer:
answer is 21..............
Explanation:
p(x) = x⁴ + 2x³- 3x² + x - 1
Factor of p(x)
x-2=0
x=2
Then by using synthetic division
What's 672 divided by 32
A walker has travelled 9 km along a trail. If he has completed 80% of the trail, how much further does he still have to go?
Answer:
2.25 km to go
Step-by-step explanation:
In order to get this answer, you have to figure out how many km 10% is, 0.1125. Then multiply that by the remaining 20% because he already finished 80% of the trail. So, 0.1125 x 20 = 2.25.
Hope this helps! :)
Can someone help me on this please
y=8200(0.96)^x growth or decay find
Answer:
This would be a .04 or 4% decay.....
for every "time unit" (x in this case) you will be multiplying
the amount by .96 ... in other words if you started with one dollar
the results would be 96 cents... after two "time" steps you would have
only 92 cents (.96 *.96)
Step-by-step explanation:
