Which data set has a greater spread? Why? Set A: {38, 12, 23, 48, 55, 16, 18} Set B: {44, 13, 24, 12, 56} has a greater spread because .
Answers
Answer:
Set B has the greater spread
Step-by-step explanation:
Set B has the greater spread because if you add them all up they you will get a number higher than Set A.
Hope this helped :)
Answer:
Set B has a greater spread , because it has a higher IQR
Step-by-step explanation:
One way to measure the spread of a data set is to break it into quarters and measure the interquartile range (IQR).
Set A: {38, 12, 23, 48, 55, 16, 18}
(a) Sort the numbers
(12, 16, 18, 23, 38, 48, 55}
(b) First quartile
The median of 12, 16, and18 is 16.
First quartile = 16
(c) Third quartile
The median of 38, 48, and 55 is 48.
Third quartile = 48
(d) IQR
IQR = 48 - 16 = 32
Set B: {44, 13, 24, 12, 56}
(a) Sort the numbers
(12, 13, 24, 44, 56}
(b) First quartile
The median of 12 and 13 is 12.5.
First quartile = 12.5
(c) Third quartile
The median of 44 and 56 is 50.
Third quartile = 50
(d) IQR
IQR = 50 - 12.5 = 37.5
Set B has the greater spread, because it has the higher IQR.
The Box plot below shows that Set B has the greater spread.
Related Questions
LMK ASAP 10 POINTS........
Answers
Answer:
20cm
Step-by-step explanation:
Answer:
The correct answer is option 2
45 cm
Step-by-step explanation:
It is given a circle with circumference C = 180 cm
To find the length of arc ABC
From the figure we can see that the central angle of arc ABC = 90°
Therefore the arc length = (90/360) * Circumference
Arc ABC = (90/360) * 180 = (1/4) * 180 = 45
Therefore arc length = 45 cm
The correct answer is option 2
what expression is equivalent to the number 28 19/100
Answers
Answer:
20 + 8 + 0.1 + 0.09
Step-by-step explanation:
Answer:
20 + 8 + 0.1 + 0.09
20 wholes +8 wholes =28 then...
.1 tenth+.09 hundereths=.19 add..
28+.19=. 28.19
A 54-ounce bottle of fruit juice costs $6.by the unit rates rounded to the nearest cent
Answers
Answer:
The unit rate is 0.11 $/ounce
Step-by-step explanation:
we know that
To find the unit rates divide the total cost by the total volume
so
(6/54)=0.11 $/ounce
a certain shade of blue is made by mixing 1.5 quarts of blue paint with 5 quarts of white paint. If you need a total of 16.25 gallons of this shade of blue paint, how much of each color should you mix
Answers
we know the blue and white paints are on a 1.5 : 5 ratio, thus, if we have a total of 16.25 gallons of paint to be split along that ratio, we can simply divide 16.25 by (1.5+5) and distribute accordingly.
[tex]\bf \cfrac{blue}{white}\qquad \stackrel{ratio}{1.5:5}\qquad \cfrac{1.5}{5}~\hspace{5em}\cfrac{1.5\cdot \frac{16.25}{1.5+5}}{5\cdot \frac{16.25}{1.5+5}}\implies \cfrac{1.5\cdot \frac{16.25}{6.5}}{5\cdot \frac{16.25}{6.5}} \\\\\\ \cfrac{1.5\cdot 2.5}{5\cdot 2.5}\implies \cfrac{3.75}{12.5}\qquad \qquad \boxed{\stackrel{blue}{3.75}~:~\stackrel{white}{12.5}}[/tex]
To find out how much of each color to mix, set up a proportion and solve for x. You will need 3.75 gallons of blue paint and 12.5 gallons of white paint.
Explanation:To find out how much of each color to mix, we can set up a proportion.
Let's say x represents the amount of blue paint needed, and y represents the amount of white paint needed.
We can set up the following equation:
1.5 quarts / 5 quarts = x gallons / (16.25 - x) gallons
Cross multiplying gives us:
5x = 1.5(16.25 - x)
Simplifying the equation gives us:
5x = 24.375 - 1.5x
Combining like terms gives us:
6.5x = 24.375
Dividing both sides by 6.5 gives us:
x = 3.75
So, you will need 3.75 gallons of blue paint and 16.25 - 3.75 = 12.5 gallons of white paint.
what is the rule for the reflection?
Answers
Step-by-step explanation:
the y-axis is the point (-x,y). Reflect over the y = x: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed).
Answer:
The rule for reflection on the x-axis is (x,y) -> (x,-y)
The rule for reflection on the y-axis is (x,y) -> (-y,y)
Step-by-step explanation:
A reflection is a transformation that represents a turn of a figure. The figures can be reflected in a point, a line, or a plane.
A reflection copies each point of a figure to an image through a fixed line. The fixed line is called the reflection line.
Using 3.14 for p, what is the volume of a ball with a radius of 3 centimeters?
Answers
Answer: 113.1
Step-by-step explanation:
first you have to multiply 4/3*pie or 3.14 times 3
4/3 x 3.14 x 3 = 113.1
There is a sale for soft drinks, so four stores are competing with each other. Which store offers the best buy? Store A : 12 pack for $3.00 Store B : 22 pack for $5:50 Store C : 18 pack for $4:75 Store D : 36 pack for $8:00
Answers
store a single drink cost $3/12 =25c
store b single drink cost $5.50/ 22 = 25c
store c single drink cost $4.75/18 = 26c
store d single drink cost $8/36 = 22c
hence store d offers the best buy
To determine the best buy among four stores selling soft drinks, compare the price per can or pack for each store. Store D offers the best buy with a cost of approximately $0.22 per can.
Explanation:To determine which store offers the best buy, we need to compare the prices per can or pack of each store.
Store A offers a 12 pack for $3.00, so each pack costs $3.00/12 = $0.25 per can.Store B offers a 22 pack for $5.50, so each pack costs $5.50/22 = $0.25 per can.Store C offers an 18 pack for $4.75, so each pack costs $4.75/18 ≈ $0.26 per can.Store D offers a 36 pack for $8.00, so each pack costs $8.00/36 ≈ $0.22 per can.Therefore, Store D offers the best buy with a cost of approximately $0.22 per can.
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Its the ratio one
If y'all can help that would be great
Answers
Answer:
9
Step-by-step explanation:
The 4 part of the ratio represents 12 girls
Divide 12 by 4 to find the value of one part of the ratio
[tex]\frac{12}{4}[/tex] = 3 ← value of 1 part of the ratio, hence
Multiply the 3 part of the ratio by 3 to obtain number of boys
3 × 3 = 9 ← number of boys
Answer:9
Step-by-step explanation: it is 3 to 4 so you multiply 4 by 3 you get 12 you multiply 3 by 3 you get 9
What’s the square root of 108 a to the 7th power b to the 5th power
Answers
Answer:
Step-by-step explanation:
Factor all the factors making up the square root.
108: 2*2*3*3*3
a^7: a*a*a*a*a*a*a
b^5:b * b * b * b * b
The rule for taking a square root of this is
For every pair, you get to take one number outside the root sign and throw the other one away.
2*3*a * a * a* b * b√(3*a * b)
6a^3b^2 * √(3*a*b)
3/5 divided by 1/4 as a word problem
Answers
Answer:
Step-by-step explanation:
12/5 is the answer.
The f(x)=2^x and g(x)=f(x+k). If k=-5, what can be concluded about the graph of g(x).
The graph of g(x) is shifted vertically :
a) 5 units above the graph of f(x)
b) 5 units below the graph of f(x)
c) the graph is not shifted vertically from the graph of f(x)
The graph of g(x) is shifted horizontally:
a) 5 units to the left of the graph of f(x)
b) 5 units to the right of the graph of f(x)
c) the graph is not shifted horizontally from the graph of f(x)
PLEASE I NEED HELP
I will give brainliest
Answers
[tex]\bf ~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\[-0.35em] ~\dotfill\\\\ \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}[/tex]
[tex]\bf ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\[/tex]
[tex]\bf \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}[/tex]
now, with that template in mind, let's take a look
[tex]\bf \begin{cases} f(x)=&2^x\\ g(x)=&f(x+k)\\ & f(x-5)\\ &2^{x-5} \end{cases}~\hspace{10em}g(x)=2^{\stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{-5})}+\stackrel{D}{0} \\\\\\ \textit{horizontal shift by }\cfrac{C}{B}\implies \cfrac{-5}{1}\implies -5\qquad \qquad \textit{ of 5 units to the right}[/tex]
The graph of g(x) is shifted horizontally 5 units to the right of the graph of f(x).
The correct option is (b).
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
As per the given data:
We are given 2 functions, and we have to find out the shift in the graph.
f(x) = 2^x
g(x) = f(x+k)
When the value of k = -5 we have to find out the shift in the graph of g(x).
For finding out the shift in the graph of g(x):
g(x) = f(x+k)
By substituting the given value of f(x) = 2^x and k = -5:
g(x) = 2^(x-5)
When y = f(x) is changed to y = f(x - 5) the graph of f(x) shifts 5 units to the right horizontally.
Similarly, for g(x) = 2^(x-5) the graph will shift by 5 units to the right.
Hence, The graph of g(x) is shifted horizontally 5 units to the right of the graph of f(x).
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Someone please help ASAP will give brainliest
Answers
Answer:
jk(x) = -16x^2 -12x+10
Step-by-step explanation:
j(x) = -4x+2
k(x) = 5+4x
jk(x) = (-4x+2) (5+4x)
FOIL
-4x*5 +-4x*4x +2*5 +2*4x
Combine like terms
-20x-16x^2 +10+8x
-16x^2 -12x+10
jk(x) = -16x^2 -12x+10
Dan earned $300 in 3 days. How much money does Dan earn per day?
Answers
$300/3 days = $100/1 day
Answer:
100 $
Step-by-step explanation:
Hello
If
300 $ ----> 3 days
X -----------> 1 day
X = [300*1] / (3)
X = 100 $
Best regards
2. What’s the answer to this question please!
Answers
Answer:
D.
Your doing it for a week..5 days, his cases are 12, but how many cases(c) does he need to sell minus his rent vs what his goal is.
which choice is equivalent to the expression below? heLp!
Answers
Simplify (x-5)(x^2-2x-6)
Answers
Answer:
x^3 - 7x^2 + 4x + 30
Step-by-step explanation:
The equation is already simplified to its fullest if we're looking at factored form.
Otherwise, just multiply everything out using a punnett square.
Answer:
x^3 - 7x^2 + 4x + 30
Step-by-step explanation:
I just did this one hope this helps
Solve. x2 + 10x = −24
Answers
➷ Add 24 to both sides:
x^2 + 10x + 24
Find two values that multiply to make 24 but add to make 10
As you will notice, this is 6 and 4
Now factorize it:
(x + 4)(x + 6)
The values of x would be the opposite of what is in the parenthesis
Therefore x = -4 or x = -6
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer:
x= -6 x=-4
Step-by-step explanation:
x2 + 10x = −24
Add 24 to each side
x2 + 10x+24 = −24+24
x2 + 10x +24=0
Factor
(x+6) (x+4) = 0
Using the zero product property
x+6 = 0 x+4 = 0
x+6-6 = 0-6 x+4-4 =0-4
x= -6 x=-4
Help here’s a few examples!!
Answers
QUESTION 1
The given expression is
2+8
The greatest common factor of 2 and 8 is 2.
We can rewrite as: [tex]2+8=2\times1+2\times4[/tex]
Factor to get: [tex]2+8=2(1+4)[/tex]
QUESTION 2
Given: 9-3
Greatest common factor of 9 and 3 is 3.
Rewrite as: [tex]9-3=3\times3-3\times1[/tex]
Factor: [tex]9-3=3(3-1)[/tex]
QUESTION 3
Given: 30+25
Greatest common factor of 30 and 25 is 5.
Rewrite as: [tex]30+25=5\times6+5\times4[/tex]
Factor: [tex]30+25=5(6+4))[/tex]
QUESTION 4.
Given: 35-14
The greatest common factor of 35 and 14 is 7.
Rewrite as: [tex]35-14=5\times7-2\times7[/tex]
Factor: [tex]35-14=7(5-2)[/tex]
QUESTION 5
The given expression is 81-18.
The greatest common factor of 81 and 18 is 9.
Rewrite as: [tex]81-18=9\times9-9\times2[/tex]
Factor: [tex]81-18=9(9-2)[/tex]
QUESTION 6
Given: 60+100
The greatest common factor of 60 and 100 is 20.
Rewrite as : [tex]60+100=20\times3+20\times5[/tex]
Factor: [tex]60+100=20(3+5)[/tex]
QUESTION 7
Given: 28-20
The greatest common factor of 28 and 20 is 4.
Rewrite as: [tex]28-20=4\times7-4\times5[/tex]
Factor: [tex]28-20=4(7-5)[/tex]
QUESTION 8
Given: 72+48
The greatest common factor of 72 and 48 is 24.
Rewrite as: [tex]72+48=24\times3+24\times2[/tex]
Factor: [tex]72+48=24(3+2)[/tex]
QUESTION 9
The given expression is [tex]12x+18[/tex].
The greatest common factor of [tex]12x[/tex] and 18 is 6.
Rewrite as; [tex]12x+18=6\times2x+6\times3[/tex]
Factor; [tex]12x+18=6(2x+3)[/tex]
QUESTION 10
Given: [tex]4y+10[/tex]
The greatest common factor of [tex]4y[/tex] and 10 is 2.
Rewrite the expression as; [tex]4y+10=2\times2y+2\times5[/tex]
Factor: [tex]4y+10=2(2y+5)[/tex]
X intercept
Of v^2 +5v+6=0
Answers
Answer:
x-intercepts:x = -2 and x = -3 ⇒ (-2, 0) and (-3, 0).Step-by-step explanation:
[tex]f(v)=v^2+5v+6\\\\\text{The x-intercept is for y = 0.}\\\\v^2+5v+6=0\\\\v^2+2v+3v+6=0\\\\v(v+2)+3(v+2)=0\\\\(v+2)(v+3)=0\iff v+2=0\ \vee\ v+3=0\\\\v+2=0\qquad\text{subtract 2 from both sides}\\v=-2\\\\v+3=0\qquad\text{subtract 3 from both sides}\\v=-3[/tex]
Gerald was able to mow 1/2 of a lawn in 12 minutes how many lawns could he mow in 2 hours
Answers
Answer:
5
Step-by-step explanation:
he can mow one lawn in 24 min
2 hours=120 min
120÷24=5
Find the side of an equilateral traingle whose perimeter is 75 cm
Answers
Answer:
Each side is 25cm long.
Step-by-step explanation:
75/3=25 (This is because each side of an equilateral triangle is equal to each other.) (The perimeter is all sides added together.)
Answer:
equilateral traingle mean all sides are equal..so 75÷3
=25cm
Step-by-step explanation:
its equal....so we just simply just divide..
help me please asap!
Answers
4 · x^4 · x^4 · y
4 x^8 y
In words: four times x to the eighth times y
What is the tangent of angle Z?
Answers
Answer:
C) 12/5
Step-by-step explanation:
Tan = Opposite / Adjacent
So
Tan(Z) = YX /YZ
Given: YZ = 5 and XZ = 13
so
(YZ)^2 = (XZ)^2 - (YZ)^2
= 13^2 - 5^2
= 169 - 25
= 144
YZ = 12
Tan(Z) = YX /YZ
Tan(Z) = 12/5
Bonjour,
combien fait 87$ augmenté de 200% ?
Answers
Bonsoir,
Combien fait 87$ augmenté de 200% ?
87 $ x 200/100 = 174 $ d'augmentation,
174 + 87 = 261 $
87 x 200/100= 174
174+87= 261
lorena’s backpack has a mass of 20,000 grams. what is the mass of lorena’s backpack in kilograms?
Answers
Answer:
20 kg
Step-by-step explanation:
If we want any value in grams to be in kilograms, we divide it by 1000
in this example: 20000/1000
=20 kg
can you please help me
Answers
Answer:
[tex]\large\boxed{f(-7b)=-35b+10}[/tex]
Step-by-step explanation:
[tex]\text{Put}\ v=-7b\ \text{to the function}\ f(v)=5v+10:\\\\f(-7b)=5(-7b)+10=-35b+10[/tex]
simplify (2r^3)^2
a. 2r^5
b. 2r^6
c. 4r^5
d. 4r^6
Answers
Answer:
The answer is D. 4r^6.
<3
-Callie
Step-by-step explanation:
Answer:
D. 4r^6.
Step-by-step explanation:
Which of the following expressions are equivalent to (x + 0) + y + 0
Choose all answers that apply:
A. x + y
B. x + 0 + (y + 0)
C. None of the above
Answers
Answer:
X + Y and x+0+(y+0) are both correct
Step-by-step explanation:
Explanation is on the image
Option A, x + y and B. x + 0 + (y + 0)
(x + 0) + y + 0 is equivalent to.
equation is the relationship between variable and represented as is example of polynomial equation.
(x + 0) + y + 0
= x + 0 + (y + 0 )
= x + y
Thus both the option A. and B. is correct.
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v2=17
(round to the nearest tenth as needed.Use a comma to separate answers as needed.)
Answers
Put the answer into a calculator;
-√17 = -4.123105626
√17 = 4.123105626
Round to the nearest tenth by looking at the 2nd digit after the decimal point. If it is 5 or greater, round up, otherwise round down.
-√17 = 4.123105626
2 is less than 5, so we leave it as it is.
-√17 ≈ -4.12
√17 = 4.123105626
2 is less than 5, so we leave it as it is.
√17 = 4.12
v ≈ -4.12, 4.12
The values in the table represent a exponential function. What is the common difference of the associated geometric
Answers
Answer:
A) 4
Work is shown in attached sheet! :)
Answer:
Option A is correct
Common ratio = 4
Step-by-step explanation:
Common ratio(r) : In a geometric series, the common ratio is the ratio of a term to the previous term.
[tex]r = \frac{a_2}{a_1}=\frac{a_3}{a_2}= \frac{a_4}{a_3}=.....[/tex]
As per the statement:
The values in the table represent a exponential function.
Since, Geometric sequences and exponential functions are very closely related to each other.
At x= 1;
y = 9
At x = 2;
y = 36 and so on....
By definition we have;
[tex]r = \frac{36}{9} =\frac{144}{36}=......[/tex]
After solving we get;
r =4
Therefore, the common ratio of the associated geometric is, 4