Answer: A. The modes differ by 40 and the ranges differ by 40.
Step-by-step explanation:
The required, modes differ by 40 and the ranges differ by 40. Option A is correct.
To compare the modes and ranges of the given data, let's first find the modes and ranges.
Last Summer:
140, 220, 190, 180, 190
This Summer:
150, 170, 150, 190, 180
The mode is the value that appears most frequently in a dataset, while the range is the difference between the maximum and minimum values in a dataset.
The modes are as follows:
Last summer: The mode is 190 since it appears twice, more frequently than any other value.
This summer: The mode is 150 since it appears twice, more frequently than any other value.
The ranges are as follows:
Last summer: The range is 220 - 140 = 80.
This summer: The range is 190 - 150 = 40.
Now, let's compare the modes to the ranges:
Statement: The modes differ by 40 and the ranges differ by 40. Since the modes differ by 40 and the ranges differ by 40, the statement is true.
Therefore, the correct statement is:
A. The modes differ by 40 and the ranges differ by 40.
Learn more about the mode here:
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The given question is incomplete the complete question is given below:
Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.
Number of Pages Elias Read during the Summer
Last summer: 140 220 190 180 190
This summer: 150 170 150 190 180
Which statement comparing the modes to the ranges is true?
A. The modes differ by 40 and the ranges differ by 40.
B. The modes differ by 20 and the ranges differ by 20.
C. The modes differ by 40, but the ranges differ by 20.
D. The modes differ by 20, but the ranges differ by 40.
Need help with these
Answer:
3x
7-k
m/4
(5x)+12
Step-by-step explanation:
most of the words like and are just fillers. and basically means together in this instance
HELP ME RIGHT NOW GRAND PRIZE IS 10 POINTS COME ON COME ON PLEASE SJNDINKOJDEWNIOEW
Solve the system of equations using the substitution method. Make sure to check your solution.
y = 3x + 2
-4x + 4y = 16
In the blanks below, type just the number for the x-coordinate in blank 1 and just the number for the y-coordinate in blank 2.
x-coordinate:
y-coordinate:
Answer: X = 1
Y= 5
Step-by-step explanation:
Plug in y = 3x + 2 in the Y coordinate to find X
-4x + 4(3x + 2) = 16
Now you can solve for X
X = 1
Then plug in 1 in the X coordinate to find Y
-4(1)+ 4y= 16
Now you can solve for Y
Y= 5
YOUR WELCOME
22(10p - 79) if p = 9 and q = 2
Answer:
the anwser is 242
Step-by-step explanation:
I dont see a q anywhere but you would sub p and 9 and do the equation so times 10 and 9 and then distribute 22 or in your calculator jus enter 22(90-79) and you would get 242
3x+8-2(1-x)=1
What is the value of x
Answer:
3x+8-2+2x=1
5x=1-8+2
5x=-5
x=-5/5
x=-1
Answer:
7
Step-by-step explanation:
Integrate the integral:
[tex]\int \frac{1}{\sqrt{x} \sqrt{1-x} }[/tex]
Answer:
[tex]\displaystyle \int {\frac{1}{\sqrt{x} \sqrt{1-x} } } \, dx = 2arcsin(\sqrt{x}) + C[/tex]
General Formulas and Concepts:
Calculus
U-SubstitutionIntegration Property: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Arctrig Integration: [tex]\displaystyle \int\limits {\frac{1}{\sqrt{a^2-u^2} } } \, du = arcsin(\frac{u}{a} ) + C[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int\limits {\frac{1}{\sqrt{x} \sqrt{1-x} } } \, dx[/tex]
Step 2: Identify
Set up variables for u-substitution and integral trig.
[tex]\displaystyleu = \sqrt{x}\\a = 1\\du = \frac{1}{2\sqrt{x}}dx[/tex]
Step 3: integrate
Rewrite Integral: [tex]\displaystyle 2\int {\frac{1}{2\sqrt{x} \sqrt{1-x} } } \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle 2\int {\frac{du}{\sqrt{1^2-(\sqrt{x})^2 } }[/tex][Integral] U-Sub Arctrig: [tex]\displaystyle 2\int {\frac{du}{\sqrt{1^2-u^2 } }[/tex][Integral] Arctrig: [tex]\displaystyle 2arcsin(\frac{u}{1}) + C[/tex]Simplify: [tex]\displaystyle 2arcsin(u) + C[/tex]Back-substitute: [tex]\displaystyle 2arcsin(\sqrt{x} ) + C[/tex]We are given the expression:
[tex]\int\limits {\frac{1}{\sqrt[]{x} }*\frac{1}{\sqrt[]{ 1-x^{2}}} } \, dx[/tex]
U-substitution:
let u = [tex]x^{1/2}[/tex] [So, x = u²]
[tex]\frac{du}{dx} = \frac{1}{2\sqrt[]{x}}[/tex] [differentiating both sides wrt x]
dx = du*2√(x)
dx = 2u(du) [Since u = √x]
Finding the Integral:
Plugging these values in the given expression:
[tex]\int\limits {u^{-1}*(1-u^{2})^{-1/2} } \, 2\sqrt[]{x}*du[/tex]
[tex]\int\limits {\frac{1}{u}*\frac{1}{\sqrt[]{ 1-u^{2}}}*2u } \, du[/tex]
The 'u' in the numerator and denominator will cancel out
[tex]\int\limits {\frac{1}{\sqrt[]{ 1-u^{2}}}*2 } \, du[/tex]
Since 2 is a constant
[tex]2\int\limits {\frac{1}{\sqrt[]{ 1-u^{2}}} } \, du[/tex]
Using the property: [tex]\int\limits {\frac{1}{\sqrt[]{1-x^{2}} }} \, dx[/tex] = ArcSin(x) + C
2*ArcSin(u) + C
Since u = √x :
2*ArcSin(√x) + C
DESPERATE (please answer with picture of the graph)
WILL MARK BRAINLIST AND THANKS
Answer:
so the square root of 23 is 4.79583152331 but rounded is 4.8 so your right where you need to be!
Step-by-step explanation:
Which expression is equivalent to sqrt 2x^5/18 assume x is greater than or equal to 0
Answer:
[tex]\sqrt{\frac{2x^{5} }{18} }[/tex] = [tex]\frac{\sqrt{x^{5} } }{3}[/tex]
Step-by-step explanation:
Given expression
[tex]\sqrt{\frac{2x^{5} }{18} }[/tex]
we know that the algebra formula
[tex]\sqrt{\frac{a}{b} } = \frac{\sqrt{a} }{\sqrt{b} }[/tex]
[tex]\sqrt{\frac{2x^{5} }{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{9} \sqrt{2} }[/tex]
= [tex]\frac{\sqrt{x^{5} } }{3}[/tex]
2 w = 2p - 3z
a Find w when p = 8 and z = -2
Answer:
11
Step-by-step explanation:
2w = 2×8 - (-2×3)
2w = 16 - (-6)
2w = 22
w = 11
A store used to sell an MP3 for $72which is 50% more than the wholesale cost. At a special holiday sale, the price of the MP3 was 20% less than the wholesale cost. What was the special sale price of the MP3?
Answer:
$115.2
Step-by-step explanation:
Step one:
Given data
A store used to sell an MP3 for $72 and we are told that this 50% of the wholesale price.
Therefore the wholesale price is
72*2= $144
Required:
The special sales cost at 20% discount
Step two:
We are told that the special sale is at a 20% discount on the wholesale
= 20/100*144
=0.2*144
=$28.8
Therefore the special sales price is
= 144-28.8
=$115.2
Pleaze help me asap
And please no fake answers.
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}}[/tex] :
a = dk³ , b = dk² , c = dk[tex] \underline{ \underline{ \text{To \: prove}}} : [/tex]
[tex] \tt{ \sqrt{ab} - \sqrt{bc} - \sqrt{cd} = \sqrt{(a - b - c)(b - c - d)} } [/tex]
[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
Left hand side ( L.H.S ) :
[tex] \tt{ \sqrt{ab} - \sqrt{bc} - \sqrt{cd}} [/tex]
⟶ [tex] \tt{ \sqrt{d {k}^{3} \cdot \: d {k}^{2} } - \sqrt{d {k}^{2} \cdot \: dk } - \sqrt{dk \cdot \: d} }[/tex]
⟶ [tex] \tt{ \sqrt{ {d}^{2} {k}^{5} } - \sqrt{ {d}^{2} {k}^{3} } - \sqrt{ {d}^{2}k } }[/tex]
⟶ [tex] \tt{ \sqrt{ {d}^{2} \cdot \: {k}^{2} \cdot \: {k}^{2} \cdot \: k } - \sqrt{ {d}^{2} \cdot \: {k}^{2} \cdot \: k \: } - \sqrt{ {d}^{2}k } }[/tex]
⟶ [tex] \tt{ \sqrt{ {d}^{2} } \cdot \sqrt{ {k}^{2} } \cdot \: \sqrt{ {k}^{2} } \cdot \: \sqrt{k} } - \sqrt{ {d}^{2} }\cdot \: \sqrt{ {k}^{2}} \cdot \: \sqrt{k} \: - \sqrt{ {d}^{2} } \cdot \: \sqrt{k} [/tex]
⟶ [tex] \tt{d {k}^{2} \sqrt{k} - dk \sqrt{k} - d \sqrt{k} }[/tex]
⟶ [tex] \tt{ d\sqrt{k} \: ( {k}^{2} - k - 1) } [/tex]
Right Hand Side ( R.H.S) :
[tex] \tt{ \sqrt{(a - b - c)(b - c - d)}} [/tex]
⟶ [tex] \tt{ \sqrt{(d {k}^{3} - d {k}^{2} - dk)( d{k}^{2} - dk - d)} }[/tex]
⟶ [tex] \tt{ \sqrt{ \{dk( {k}^{2} - k - 1) \} \: \{d( {k}^{2} - k - 1) \}} }[/tex]
⟶ [tex] \tt{ \sqrt{ {d}^{2}k( {k}^{2} - k - 1) ^{2} } } [/tex]
⟶ [tex] \tt{ \sqrt{ {d}^{2}k } \cdot \: \sqrt{ {( {k}^{2} - k - 1)}^{2} } } [/tex]
⟶[tex] \tt{ \sqrt{ {d}^{2} } \cdot \: \sqrt{k} \cdot \: \sqrt{( {k}^{2} - k - 1) ^{2} } }[/tex]
⟶ [tex] \tt{d \sqrt{k} \: ( {k}^{2} - k - 1) } [/tex]
L.H.S = R.H.S
Hence , Proved !
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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If c= 16, solve for b
Answer:
8√3
Step-by-step explanation:
cos30=b/16
equating:
√3/2=b/16
b=8√3
delta math help plz im stuck
Step-by-step explanation:
-70x^4 + 30x
= 10x(-7x^3 + 3)
ANSWER: 10x(-7x^3 + 3)
The lines graphed below are perpendicular. The slope of the red line is
What is the slope of the green line?
Answer:
Is there a picture for this one and also you didn't mention the slope of the red line is?
Step-by-step explanation:
Answer:
The slope of the Green line should be the same as the red line- but a negative number instead of a positive.
Step-by-step explanation:
This is the inverse of the line
So by reflecting it over the y-axis, the slope remains the same but will change from positive to negative and vise versa
A rectangular magazine cover is photocopied by using a scale factor of One-third. The length of the photocopy of the magazine cover is enlarged by a factor of 3. enlarged by a factor of One-third. reduced by a factor of 3. reduced by a factor of One-third.
Answer: "reduced by a factor of One-third."
Step-by-step explanation:
Suppose that the original magazine has a length L and a width W.
If it is photocopied using a scale factor of K, then the measures of the photocopy will be:
length = K*L
Width = K*W
In this case, the scale factor is K = 1/3, then the measures of the photocopy will be:
length = (1/3)*L = L/3
Width = (1/3)*W = W/3
For usual notation:
When k > 1, we have an enlargement by a factor k
when 0 < k < 1, we have a reduction by a factor k
in this case, k = 1/3, then:
We have a reduction by a factor of 1/3
The correct option is:
"reduced by a factor of One-third."
Answer: D-reduced by a factor 1/3
Step-by-step explanation:
got it correct on edge 2021
Find the slope of the line that passes through A(0, -5) and B(3,-4)
Answer:
1/3
Step-by-step explanation:
(-4-(-5))/(3-0) = 1/3
15. A county fair charges $9.50 to get in and $2.50 per ride ticket. What is the cost of entering the fair and buying 4 ride tickets? *
Answer:
$19.50
Step-by-step explanation:
Multiply $2.50 by 4, which will give you $10.00.
Then, add $9.50 and $10 together, which gives you. a total of.
$19.50
Answer:
Hi, The answer is
Step-by-step explanation:
Well all you have to do is multiply 2.50 by 4=10 and add 9.50. And it all equals 19.50$.
I REALLY hope this helps you! :)
Evaluate the expression (1/4) {x(2y+3z)} when x=8, y=3, and z=2
Answer:
24
Step-by-step explanation:
x = 8, y = 3, z = 2
(1/4) x {8[2(3)+3(2)]}
(1/4) x {8(6 + 6)}
(1/4) x {48 + 48} (by distributing)
1/4 x 96
= 24
2) 8(x - y); user-5, and y = 2
Answer:
8(x-y);use x=5,and y=2
8(5 - 2) = 8(3) = 24
answer
24
Step-by-step explanation:
good? Brainliest?
6. Solve for the variable in the following proportion: 45 g = 5/1
Answer:
g=9
Step-by-step explanation:
assuming you actually meant 45/g, then it would be 5g=45
what is 1/2x + 8 < -4 ?
Answer:
-1/24 < x < 0
Step-by-step explanation:
(What did Benjamin Franklin use to lighten the mood in Philadelphia where the Constitution was being written?)
Sense of humor.
Ice cream.
An air-cooling device he had invented.
Poetic readings.
Answer:
Ice cream
Step-by-step explanation:
During the 1787 convention in Philadelphia when the constitution was being formed by the founding fathers, their sessions would usually end in heated arguments and disagreements.
To calm the delegates after the draining sessions, Benjamin Franklin who was then mostly in his home and 81 years old at that time, came up with the idea of entertaining the delegates in his home with the cold cream. His idea was helpful in reducing tensions.
Answer:
An air cooling he has invented
Step-by-step explanation:
5. Grace has $39 She has 8 less than her brother. How much
money does Grace's brother have?
Answer:
Grace's brother has $47.
6x + 57= 135 solve x
Answer:
can't find answer sorry
is this function linear or exponential?
Answer:
This function is not linear.
Peaches are being sold for $2 per pound.The customer created a model to represent the total cost of peaches bought. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?
The values of both x and y can be any real number.
The values of both x and y will be real numbers greater than or equal to 0.
The value of x and y will always be zero
The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.
Answer:
B - The values of both x and y will be real numbers greater than or equal to 0.
The answer choice that best describes the values of x and y is B - The values of both x and y will be real numbers greater than or equal to 0.
Calculations and Parameters:Given that peaches are being sold for $2 per lb.
If we define x as the number of pounds that you buy, and y as the cost of these peaches, we can write the function:
y = $2*x
Therefore, the best description of the values of x and y is found in option B. The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.
Read more about equations here:
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Mariah025 answer here please
Answer:
wht
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Anna wants to add compatible numbers to find the following sum. 27.95 + 19.37 + 34.05 + 21.63 Which pairs of numbers are compatible? Choose Yes or No for each pair. 27.95 and 34.05 Choose.. 27.95 and 21.63 Choose... 19.37 and 34.05 Choose... 19.37 and 21.63 Choose...
Answer:
27.95 and 34.05 are compatible because when you add up the decimals, the equal 0, which makes it easier to add. 27. 95 + 34.05 = 61.00.
Same with 19.37 and 21.63, it adds up to 40.00
The answer to all of this would be 101.00
A company has two factories, factory A and factory B. The cost per item to produce q items in factory A is
200 + 3/q
q
. The cost per item to produce q items in factory B is
300 + q/
3q
. Find an expression for the sum of these costs per item. Then divide this expression by 2 to find an expression for the average cost per item to produce q items in each factory.
The average cost per item to produce q items in each factory is
Answer:
(700 + 51q)/4qStep-by-step explanation:
Given costs:
(200 + 13q)/q and (300 + 25q)/2qSum of the costs:
(200 + 13q)/q + (300 + 25q/2q) =(400 + 26q)/2q + (300 + 25q)/2q =(700 + 51q)/2qAverage cost is sum divided by number:
(700 + 51q)/2q ÷ 2 = (700 + 51q)/4qWhat is the slope of the line that passes through the following g points
(6,3) and (4,-2)
Answer:
2.5
Step-by-step explanation:
The slope of the line is; [tex]\frac{rise}{run}[/tex] and can be found using the formula;
[tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]
Given the points;
( 6, 3 ) and ( 4, -2)
Substitute the points in and solve;
[tex]\frac{(-2) - (3)}{(4) - (6)}[/tex]
[tex]\frac{-5}{-2}\\\\\frac{5}{2}\\\\= 2.5[/tex]
if x and y varies directly and x = 4 when y = 16. find y when x = 9?
9514 1404 393
Answer:
36
Step-by-step explanation:
"Varies directly" means the relationship is proportional:
y/9 = 16/4
y = 9·16/4 = 36
The value of y is 36 when x = 9.