Easy Middle school math not high school. I have been absent for the past 2 days at school and they were talking about range, mode, median, quartile, and I think that is it. It would really help if you guys can help me do all of this work :) The pictures are the ones that I have been stuck on. Will give brainlist mobob LOL
Answers
Answer:
57
Step-by-step explanation:
This is because, in order to find the range you need to set the order from lowest to highest and subtract the lowest from the highest. So in this case the lowest would be 117 and the highest would be 174. So when you subtract them you get 57.
Answer:
1) Range = 57
2) Range = 12
3) Median = 88, First Quartile = 84, Third Quartile = 92, Interquartile = 8
4) Median = 81.5, Median of lower half = 67, Median of upper half = 92,
Describe the spead of the data = ______
*We cannot see the drop-down answer choices for this part of the question, so we cannot give an answer. Sorry.
5) a. Range = 172 points, Interquartile Range = 42 points
b. Outlier = 193, Range without the Outlier = 101 points, Interquartile Range without the Outlier = 48.5 points
c. The outlier affected the __________ more.
*We cannot see the drop-down answer choices here, so we cannot answer this part of the question. Sorry.
Good Luck! I hope this helps!
Step-by-step explanation:
1) Find the range of the data.
133, 117, 152, 127, 168, 146, 174.
First, put the numbers in ascending order:
117, 127, 133, 146, 152, 168, 174
To find the range, subtract the smallest number from the largest number.
174 - 117 = 57
So, the range is 57.
2) Find the range of the data.
26, 21, 27, 33, 24, 29
First, put the numbers in ascending order.
21, 24, 26, 27, 29, 33
To find the range, subtract the smallest number from the largest number.
33 - 21 = 12
So, the range is 12.
3) Find the median, first quartie, third quartile, and interquartile range of the data. 84, 75, 90, 87, 99, 91, 85, 88, 76, 92, 94
First, put the numbers in ascending order.
75, 76, 84, 85, 87, 88, 90, 91, 92, 94, 99
The median is the value in the middle, so in this case, it is 88.
To find the first quartie, third quartile, and interquartile, we must split the numbers into quarters.
75 76 84 85 87 88 90 91 92 94 99
The first quartile is 84.
The third quartile 92.
The interquartile is the first quartile subtracted from the third quartile, so
92 - 84 = 8.
4) Use grid paper to find the median of the data. Then find the median of the lower half and the median of the upper half of the data.
82, 62, 95, 81, 89, 51, 72, 56, 97, 98, 79, 85
First, put the numbers in ascending order.
51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98
Find the median which is the middle of the values.
51 56 62 72 79 81 82 85 89 95 97 98
In this case, it is between 81 and 82, so we find 81+82 / 2 = 81.5.
The median is 81.5.
The median of the lower half of the data is the value in the middle of the first 6 of the 12 numbers. 51 56 62 72 79 81
We need to find 62+72 / 2 = 134 /2 = 67, so the median of the lower half of the data is 67.
The median of the upper half of the data is the value in the middle of the last 6 of the 12 numbers. 82 85 89 95 97 98
We need to find 89+95 / 2 = 184 / 2 = 92, so the median of the upper half of the data is 92.
Describe the spread of the data.
The data are ___________ . (We cannot see the drop-down options, so cannot answer this part of the question. Sorry.)
5) The table shows the number of points scored by players on a basketball team. 21 53 74 82 84 93 103 108 116 122 193
a. Find the range and interquartile range of the data.
To find the range, subtract the smallest number from the largest number.
193 - 21 = 172
The range is 172 points.
To find the interquartile range, we must split the numbers into quarters.
21 53 74 82 84 93 103 108 116 122 193
The first quartile is 74.
The third quartile 116.
The interquartile is the first quartile subtracted from the third quartile, so
116 - 74 = 42.
The interquartile range is 42 points.
b. Use the interquartile range to identify the outlier(s) in the data set.
Find the range and the interquartile range of the data set without the outlier(s).
21 53 74 82 84 93 103 108 116 122 193
Per Wikipedia, "In statistics, an outlier is a data point that differs significantly from other observations."
Per statology.org, "One popular method is to declare an observation to be an outlier if it has a value 1.5 times greater than the interquartile (IQR) or 1.5 times less than the IQR."
From statology. org:
(Note: Q1 = first quartile, Q3 = third quartile, IQR = interquartile)
The lower limit is calculated as:
Lower limit = Q1 – 1.5 * IQR = 74 – 1.5 * 42 = 74 - 63 = 9.
The lower limit of outliers is 9 points.
And the upper limited is calculated as:
Upper limit = Q3 + 1.5 * IQR = 116 + 1.5 * 42 = 116 + 63 = 179.
The upper limit of outliers is 179 points.
The outlier is 193 points.
To find the range without the outlier, subtract the smallest number from the largest number.
21 53 74 82 84 93 103 108 116 122
122 - 21 = 101 points
The range without the outlier is 101 points.
To find the interquartile range wthout the outlier, we must split the numbers into quarters.
21 53 74 82 84 93 103 108 116 122
The first quartile is 53+74 / 2 = 127 / 2 = 63.5.
The third quartile 108+116 / 2 = 224 / 2 = 112.
The interquartile is the first quartile subtracted from the third quartile, so
112 - 63.5 = 48.5.
The interquartile range without the outlier is 48.5 points.
c. Which measure did the outlier affect more?
The outlier affected __________ more. (We cannot see the drop-down options, so cannot answer this part of the question. Sorry.)
Related Questions
Find tаn Ө.
A. 15/17
B.15/8
C.8/15
D.8/17
Answers
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
[tex] \tan(\theta) = \frac{perpendicular}{base} \\ [/tex]
we can see we aren't provided with the perpendicular , so let's find it using Pythagoras Theorem !
[tex]H {}^{2} = P {}^{2} + B {}^{2} \\ \\ \dashrightarrow 17 {}^{2} = P {}^{2} + 8 {}^{2} \\ \\ \dashrightarrow \: P {}^{2} = 17 {}^{2} - 8 {}^{2} \\ \\ \dashrightarrow \: P {}^{2} = 289 - 64 \\ \\ \dashrightarrow \: P { }^{2} = 225 \\ \\ \dashrightarrow \: P = \sqrt{225} \\ \\ \dashrightarrow \: P = 15[/tex]
substituting the value of P in the formula
[tex] \tan(\theta) = \frac{15}{8} \\ [/tex]
therefore , option ( B ) is correct !
hope helpful ~
What is the area of 6 and 12 obtuse triangle
Answers
Answer:
A
Step-by-step explanation:
if it's not I'm sorry but that is the most logical answer:)
36 sq. units
[tex]\bold{EXPLANATIONS:}[/tex]
Find the vertex of the parabola.
y = 2x2 + 8x+12
Answers
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+8}x\stackrel{\stackrel{c}{\downarrow }}{+12} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 8}{2(2)}~~~~ ,~~~~ 12-\cfrac{ (8)^2}{4(2)}\right)\implies \left( -\cfrac{8}{4}~~,~~12-\cfrac{64}{8} \right) \\\\\\ (-2~~,~~12-8)\implies (-2~~,~~4)[/tex]
BRAINLIST IF CORRECT WORTH 100POINTS
Frank opens several pea pods and counts the number of peas in each pod. He records the number.
Written as a percent, what is the experimental probability that the pea pod has 9 peas in it?
Question 4 options:
12.5%
48.8%
45%
18%
Answers
Answer:
45%
Explanation:
According to the question, we can get:
[tex]N=1+4+18+15+2=4D[/tex]
[tex]P=\frac{18}{40}[/tex]
[tex]=0.45[/tex]
[tex]=45[/tex]%
Therefore, Written as a percent, the experimental probability that the pea pod has 9 peas in it is 45%
Answer:
Hi! The answer is 45%
Step-by-step explanation:
I just took the review and got the answer.
here is proof.
Hope this helps!
Brainliest please!
Please fully rate!
Have a great day!
solve:
i)x+y=5
ii)x-y=3
iii)2x+y=7
iv)3x-2y=0
Answers
Answer:
I) X+Y
when X=0
0+y=5
Y=5
When Y=0
X+0=5
X=5
(X,y)=(5,5)
(ii) X-Y=3
When X=0
0-Y=3
Y=-3
When Y=0
X-0=3
X=3
(X,Y)=(3,3(
(III) 2x+Y=7
when X=0
0+Y=7
Y=7
when Y=0
2x+0=7
2x=7
X=7/2 or 3.5
(X,Y)=(3.5,7)
(Iv)
3X-2Y=0
when X=0
0-2Y=0
-2Y=0
Y=0
When Y=0
3x-0=0
3X=0
X=0
(X,Y)=(0,0)
You start at (0, 0). You move up 3 units. Where do you end?
Answers
Answer:
(0,3)
Step-by-step explanation:
Since you're moving up, you add to y the y-intercept.
hope this helps
have a good day
Answer:
0,3 it on the 0 so if you move up 3 it would go to the second number so 0,3
which point lies on the bisector of angle PQR ?
Answers
The point that lies on the bisector of angle PQR in the diagram given is: point Y.
What is an Angle Bisector?An angle bisector is a segment that cuts an angle into two equal parts.
From the image given, point Y lies directly opposite to vertex Q. Point Y divides angle PQR into equal parts.
Therefore, the bisector of angle PQR is: point Y.
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How do you solve this URGENT (50pts)
Answers
Explanation:
x + 3y = 2
Converting it to slope intercept form:
y = mx + b [where m is slope, b is y-intercept]
Make y the subject:
[tex]\sf \rightarrow 3y = 2 - x[/tex]
[tex]\sf \rightarrow 3y = -x + 2[/tex]
[tex]\sf \rightarrow y = -\dfrac{x}{3} + \dfrac{2}{3}[/tex]
[tex]\sf \rightarrow y = -\dfrac{1}{3} x+ \dfrac{2}{3}[/tex]
which reveals slope:
[tex]\star \ slope: \sf - \dfrac{1}{3}[/tex]
Answer:
slope = - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
x + 3y = 2 ( subtract x from both sides )
3y = - x + 2 ( divide all terms by 3 )
y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{1}{3}[/tex]
PLEASEEEE HELPPO MEEEE
Answers
Answer:
c
Step-by-step explanation:
its c bro
Answer:
Step-by-step explanation:
Answer
Given
Area = 576 square feet
dimensions of x feet by x feet
Since both the length and width are the same dimensions, x feet, use the area to calculate the length of the dimension.
×·×=576
[tex]x^{2} = 576\\[/tex]
[tex]\sqrt{x^{2}[/tex] = [tex]\sqrt{576[/tex]
×= 24
Now we have the length of the dimension of the fence, normally, we will be using the four sides to build the fence, but since we will be using the wall of the house as one of the sides, then we will only multiply by 3
3x24=72
Therefore, the fencing needed is 72 feet.
put y+-6=5(x-4) to where x is by itself
Answers
Answer:
x=y/5+14/5
Step-by-step explanation:
In order for the function to be linear, what must a be and why?
a = 22 because the rate of change is 1.
a = 20 because the rate of change is 3.
a = 22 because the rate of change is –1.
a = 20 because the rate of change is –3.
Answers
For the function to be a linear, D. a = 20 because the rate of change is –3.
What is the Rate of Change of a Function?The rate of change = change in y / change in x.
Therefore, for the function to be linear, the rate of change must be the same across the table of values.
Using, (4, 26) and (5, 23):
Rate of change = (26 - 23)/(4 - 5)
Rate of change = (3)/(1) = -3
Using (5, 23) and (6, a), we have:
(23 - a)/(5 - 6) = -3
(23 - a)/(-1) = -3
23 - a = (-3)(-1)
23 - a = 3
-a = 3 - 23
-a = -20
a = 20
Therefore, the answer is: D. a = 20 because the rate of change is –3.
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Can someone help me with this question please
Answers
Answer:
∠A≅∠Y AB≅YX
∠B≅∠X AC≅YZ
∠C≅∠Z BC≅XZ
ΔACB ≅ ΔYZX
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle
I have no idea what to do for this question somebody please help
Answers
Answer:
405π
Step-by-step explanation:
Use the formula for Volume Of Cylinder (V=πr²h) where "V" represents the volume, "r" represents the radius, and "h" represents the height
The volume and the radius are given. (V=45π, r=3)
1. Solve for height
V=πr²h
45π=π3²h
45π/π=3²h
45=3²h
45=9h
45/9=h
h=5
2. Plug the new radius (3*3=9) into this formula and solve for "V"
V=π9²5
V=π81*5
V=405π
NEW VOLUME AFTER A TRIPLED RADIUS IS 405π
Joseph needs to buy insulation for the inside of a truck container. The container is a rectangular prism 12 feet long, 7 feet wide, and 6.5 feet high. How much insulation should Joseph buy if all surfaces except the floor are to insulated?
Answers
Answer:
Joesph needs to be 331 feet of flooring to cover all sides except the floor.
Step-by-step explanation:
To answer this question, you need to find the areas of the sides and the roof.
Side (left and right): 12 feet long multipled by 6.5 feet high. 12*6.5=78 ft^2. Multiply this by 2 to get the combined areas of both the left and right side. 156 ft ^2
Side (back and front): 7 feet wide by 6.5 feet high. 7*6.5=45.5 ft^2. Multiply this by two to get the combined areas of the back and the front sides. 91 ft^2
Roof: 7 feet wide multiplied by 12 feet long. 7*12=84 ft^2
84+91+156=331 ft^2
Answer:
331 ft²
Step-by-step explanation:
Area of a rectangle = width × height
Given:
base width = 7 ftbase length = 12 ftheight = 6.5 ftSurface area (minus the floor):
= 2(7 × 6.5) + 2(12 × 6.5) + (7 × 12)
= 91 + 156 + 84
= 331 ft²
The combined volume of two identical cubes is 250 cubic centimeters what is the measure of one cubes edge
Answers
Answer:
5 cubic centimeters
Step-by-step explanation:
250 divided by 2 = 125
To get to 125 you can do 5 x 5 x 5.
Since it is a cube you have to do Length x Width x Height which is why you do _ x _ x _.
come get a brainliest
Answers
The schools is loacted at (1, -8) and the park is loacted at (-6,-8)
If you raised $400,000 in a stock sale and gave up 12% of your company, what was the implied valuation of the company?
Answers
PLSS HELP. ALGEBRA 1. 9TH GRADE..ASAP PLSSS
Answers
Answer:
y = - 4
Step-by-step explanation:
[tex]\cfrac{2}{5}\left(10y-5\right)-2y=-10[/tex] (Multiply)
[tex]\cfrac{2\left(10y-5\right)}{5}-2y=-10[/tex]
[tex]\cfrac{2\left(10y-5\right)}{5}\times \:5-2y\times \:5=-10\times \:5[/tex]
[tex]2\left(10y-5\right)-10y=-50[/tex] (Expand)
[tex]10y-10=-50[/tex]
[tex]10y-10+10=-50+10[/tex] ( Add 10)
[tex]10y=-40[/tex] (Simplify)
[tex]\cfrac{10y}{10}=\cfrac{-40}{10}[/tex] (Divide by 10)
[tex]y=-4[/tex]
Answer:
[tex]y=-4[/tex]
Step-by-step explanation:
Given equation:
[tex]\dfrac{2}{5}(10y-5)-2y=-10[/tex]
Expand the brackets:
[tex]\implies \dfrac{2}{5}(10y)-\dfrac{2}{5}(5)-2y=-10[/tex]
[tex]\implies \dfrac{2 \cdot 10}{5}y-\dfrac{2 \cdot 5}{5}-2y=-10[/tex]
[tex]\implies \dfrac{20}{5}y-\dfrac{10}{5}-2y=-10[/tex]
[tex]\implies 4y-2-2y=-10[/tex]
Collect like terms:
[tex]\implies 4y-2y-2=-10[/tex]
Combine like terms:
[tex]\implies 2y-2=-10[/tex]
Add 2 to both sides:
[tex]\implies 2y-2+2=-10+2[/tex]
[tex]\implies 2y=-8[/tex]
Divide both sides by 2:
[tex]\implies \dfrac{2y}{2}=\dfrac{-8}{2}[/tex]
[tex]\implies y=-4[/tex]
Identify coordinate point D.
(1, 5)
(0, 2)
(6, 7)
(7, 3)
Answers
Point d 7,3 point c 6,7 point b 1,5 point a 0,2 I took this quiz got 100Answer:
Step-by-step explanation:
D) (7, 3)
Step-by-step explanation on coordinates:
The coordinates indicate the position of a point in the 2D coordinate plane relative to the origin. The x-coordinate of a point is its perpendicular distance from the y-axis measured along the x-axis. The y-coordinate of a point is its perpendicular distance from the x-axis measured along the y-axis.
Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis (vertical).
Coordinates are written as (x, y) meaning the point on the x axis is written first, followed by the point on the y axis.
Therefore, the veracious answer (7, 3).
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The length of a rectangle is 6 yd longer than its width. If the perimeter of the rectangle is 60 yd, find its length and width.
Answers
Answer:
Length: 18 yards Width: 12 yards
Step-by-step explanation:
Perimeter = (L+W) x 2
L = W + 6
60 yd = (W+W+6) x 2
30 yd = 2W + 6
24 yd = 2W
W = 12
L = 12 + 6 = 18
A, C and D are points on a circle of radius 4 cm, centre O. BA and BC are tangents to the circle. 4 cm, OB = 10 cm D O 4 cm Work out the length of arc ADC. Give your answer correct to 3 significant figures. B
Without cos, please and thank you!
Answers
By applying trigonometric reasons, Pythagorean theorem and the definition of circle arc, the measure of the arc ADC is approximately 15.858 centimeters.
How to determine the arc of a system formed by a circle and two symmetrical right triangles
Since AB and BC are tangent to the circle, then the triangles OAB and OBC are right angled. We can determine the measure of the angle AOC by using the following inverse trigonometric reason and Pythagorean theorem:
[tex]\theta = 2\cdot \tan^{-1}\left(\frac{\sqrt{10^{2}-4^{2}}}{4} \right)[/tex]
θ ≈ 132.844°
And the measure of the arc ADC is found by the formula for the length of a circle arc:
s = θ · r (1)
Where:
θ - Central angle, in radiansr - Radius, in centimeterss = (2π - 132.844π/180) · (4 cm)
s ≈ 15.858 cm
By applying trigonometric reasons, Pythagorean theorem and the definition of circle arc, the measure of the arc ADC is approximately 15.858 centimeters.
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The formula for the area of a square is A = sa, where s is the length of a side.
If the area of a square is 400 m², what is the length of a side of the square?
Answers
Answer:
[tex]\sqrt{400} = 20[/tex]
Step-by-step explanation:
Since the sides of a square are equal, A = s x s so taking the square root of the square provides the length of each side
A store sold 250 shirts last week. The sales increased by 15% this week.
Find the sales volume for this week.
Answers
Answer:
288
Step-by-step explanation:
quick calculator use
15% of 250 is 37.5
add that to 250 to get 287.5
can't sell half a shirt so the answer is 288
If the radius of a circle is 8 ft, what is the length of the diameter? 8 ft 24 ft 4 ft 16 ft
Answers
[tex]\large\boxed{\bold{d= r ×2}}[/tex]
In this question all the required values are given so we'll simply have to solve.
Let's substitute the values according to the formula.
[tex]\bold{d= 8×2}[/tex]
[tex]\large\boxed{\bold{d= 16 \ ft}}[/tex]
Therefore, the diameter of the given circle is 16 ft.
Answer= Option D
1. What is the area of the triangle below?
10 in.
7 in.
Answers
Hi!
Triangle Area Formula:[tex]\cfrac{bh}{2}[/tex]
Where b = base and h = height.
In the given problem, the base and height of the triangle are 10 inches and 7 inches.
Now, we can use the formula above.
If we plug in the given values, we have:
[tex]\dfrac{10*7}{2}[/tex]
Multiply 10 and 7:
[tex]\dfrac{70}{2}[/tex]
Divide:
[tex]35[/tex]
Using the triangle area formula, we have gotten a value of 35.
Therefore, the area of the triangle is 35 inches squared.
For a similar problem, see:
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Answer:
35 inches²
Step-by-step explanation:
Given Base and Height of triangle: 10 inches and 7 inches
To determine the area of a triangle, multiply the base and the height. Then divide the product of the base and the height by 2.
Therefore, the "area of triangle" formula is:
[tex]\boxed{\text{Area of a triangle} = \frac{\text{Base} \times \text{Height}}2}[/tex]
Now, substitute the base and the height in the formula. Then, simplify the expression to determine the area of the triangle provided.
[tex]\implies \text{Area of the triangle} = \dfrac{\text{10} \times \text{7}}2}[/tex]
[tex]\implies \text{Area of the triangle} = \dfrac{70}2} = \boxed{35 \ \text{in}^{2}}[/tex]
Therefore, the area of the triangle is 35 inches².
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Does the federal government have enough power to carry out its constitutional responsibilities? Explain.
Answers
Answer:
The federal government's "enumerated powers" are listed in Article I, Section 8 of the Constitution. Among other things, they include: the power to levy taxes, regulate commerce, create federal courts (underneath the Supreme Court), set up and maintain a military, and declare war. It is their job to carry out constitutional responsibilities for society.
Step-by-step explanation:
A street is 250 m long. It is represented by a distance of 5 cm on a map. Express the scale of the map in the form 1 : r.
Answers
Answer:
1 : 5000
Step-by-step explanation:
Firstly align the unit
Map 5cm represent 250m = 250x100cm = 25000cm
scale = 5 : 25000 = 1 : 5000
x^2-15x+50 factor trinomials pls help me with this i need help thank you
Answers
Answer:
(x−10)(x-5)
Step-by-step explanation:
Answer: (x - 10) ( x -5)
Step-by-step explanation:
x2 - 15x + 50
x2 - 5x - 10x + 50
x (x-5) - 5( x - 10) => ( x -5 ) (x-10)
How many boxes of markers must be sold for the company’s income to equal the cost of production
Answers
They earn $2.50 per box of markers, meaning that to make $500 they have to sell 200. [500/2.5=200]
(4, a) and (2, 5) are two points from a direct variation. What is a? Use the step-by-step process you just learned to solve this problem. Step 1: Set up the correct type of variation equation. y =
Answers
Answer:
y = kx
step 2 = 2.5
step 3 = 10
Step-by-step explanation:
Just answered on edge, got it correct.
