The difference between the measures of center is equal to the measure of variation.
How to illustrate the information?The IQR of the given box plot:
Q1 = 10
Q3 = 18
IQR = Q3 − Q1 = 18 − 10 = 8
Median = 15
Q1 = 4
Q3 = 12
IQR = Q3 − Q1 = 12 − 4 = 8
The difference between the measures of center as a multiple of the measure of variation:
Median of first data set - median of the second data set
IQR = 15 − 7 / 8
= 1
Therefore, the difference between the measures of center is equal to the measure of variation.
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Express the difference between the measures of center as a multiple of the measure of variation.
Given is a box plot for the number of questions attempted in subject 1 by different students.
Four times the sum of a number and two is equal to twice the number
Answer:
number is - 4
Step-by-step explanation:
let the number be n then 4 times the sum of the number and 2 is 4(n + 2)
4(n + 2) = 2n
4n + 8 = 2n ( subtract 2n from both sides )
2n + 8 = 0 ( subtract 8 from both sides )
2n = - 8 ( divide both sides by 2 )
n = - 4
the number is - 4
[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]
- - - - - - - - - - - - - - - - - - - - -
[tex]\textsf{Let the number be t.}[/tex]
[tex]\textsf{The Sum means adding two numbers together.}[/tex]
[tex]\textsf{Then,}[/tex]
[tex]\textsf{4 times the sum of a number and 2 = 4 times t+2 = 4(t+2).}[/tex]
[tex]\textsf{Remember to write the parentheses when you're multiplying something times}\\\textsf{a sum or a difference.}[/tex]
[tex]\textsf{You know how to write "is equal to", don't you? It's =}[/tex]
[tex]\therefore\\\textsf{4(t+2)=}[/tex]
[tex]\textsf{Next, twice the number is written as 2t.}[/tex]
[tex]\textsf{\textbf{Our expression looks like this:}}[/tex]
[tex]\Large\boldsymbol{\rm{4(t+2)=2t}}[/tex]
[tex]\textsf{Now let's find the number: }[/tex]
[tex]\Large\begin{gathered} \sf{4(t+2)=2t}\\\sf{4t+8=2t}\\\sf{4t-2t=-8}\\\sf{2t=-8}\\\sf{t=-4} \end{gathered}[/tex]
[tex]\ddot\smile[/tex]
[tex]\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection - RoSe}}}}^\star_\star[/tex]
Using the quadratic formula, solve 0 = 2x²-14x +9 Give each of your answers to 2 d.p.
help please
Answer:
x=6.28 0r 0.72
Step-by-step explanation:
The explanation is in the image
Fencing costs $25.80 per yard. How much does it cost to enclose two adjacent rectangular pastures?
X: 50 5/8 Y: 30 2/9
Solve 4x + 7 = 3
HELPPPPPP
Answer:
[tex] \sf \large \: x = -1[/tex]
Step-by-step explanation:
4x + 7 = 3
Substract 7 from both sides
4x + 7 - 7 = 3 - 7
4x = -4
Divide both sides by the coefficient of x
4x/4 = -4/4
calculate
x = -1
Quadrilateral MNOP below is a rectangle, and ∠M = 3x + 6. What is the value of x?
The value of x would be 28 and the measure of angle M will be 90 degrees.
What is a rectangle?That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.
A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.
WE have been given the Quadrilateral MNOP is a rectangle, and ∠M = 3x + 6.
WE know that interior angle of the rectangle are 90 degrees each.
Therefore,
∠M = 3x + 6 = 90
3x + 6 = 90
3x = 90 - 6
3x = 84
x = 84/3
x = 28
Hence, the value of x would be 28 and the measure of angle M will be 90 degrees.
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Julie is a member of a swim club. The swim club
charges a monthly fee of $15 plus $0.50 per hour
to use the pool. Julie spent $35 in August to use
the pool. How many hours did Julie use the pool
in August?
Answer: 40 hours
Step-by-step explanation:
As stated in the question the total amount spent in the month of august is $35.
First of all you have to subtract 15 out of the entire amount spent so that you can start calculating how many hours did Julie use the pool.
(35-15) = 20 (divide the answer with 0.50)
(20/0.50) = 40 (We have to divide to get the amount of hours she spent in pool)
How does the multiplicity of a zero determine the behavior of the graph at that zero?
Select answers form the drop-down menus to correctly complete the statements.
A seventh degree polynomial function has zeros of −6 (multiplicity of 2), 0, 1 (multiplicity of 3), and 4.
The graph of the function
Choose...
the x-axis at −6.
The graph of the function
Choose...
the x-axis at 0.
The graph of the function
Choose...
the x-axis at 1.
The graph of the function
Choose...
the x-axis at 4.
The graph at:
x=-6,-4→intersects directly
x=0→passes through
x=1→tangent
At different x-intercepts, graphs exhibit varying behaviours. On occasions, the graph will intercept the x-axis and cross it. On occasions, the graph will contact the x-axis and then deviate from it. The graphs contact or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities. Higher even powers, such as 4, 6, and 8, will still cause the graph to contact and deviate from the x-axis, but as even power increases, the graph will appear flatter as it does so.The graph will still cross through the x-axis for higher odd powers like 5, 7, and 9, but for each rising odd power, the graph as it approaches and departs the x-axis, it seems flatter.
The zeros of a polynomial function of seventh degree are -6, 4, 1(multiplicity of 2) and 0(multiplicity of 3).The graph will intersect directly at x = -6 and x = 4.Since x = 0 has an odd multiplicity > 1, the graph will "pass through while hugging" at this point (this will always be the case with an odd multiplicity > 1).The graph will always be tangent with an even multiplicity because we have an even multiplicity at x = 1.∴x=-6,-4→intersects directly
x=0→passes through
x=1→tangent
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A farmer, Sarah, has 54 hectares of hay to harvest. She hires a harvester
at £1200 a day. If Sarah can harvest 12 ha per day, what will it cost her to
harvest this hay?
Answer:
the harvester costs 1200 a day.
54 hectares / 12 per day = 4.5 days.
Step-by-step explanation:
if she can rent the harvester for half a day, it will cost her 4.5 * 1200 = 5400.
if she can only rent the harvest for full days, it will cost her 5 * 1200 = 6000.
(0.067×42.1)÷(17.4-4.19) correct to 1 significant figure then estimate the equation
Step-by-step explanation:
You could use a calculator to make it simple
(0.067 × 42.1) ÷ (17.4 - 4.19). to 1s.f
=(2.8207) ÷ (13.21)
= 0.213527 to 1s.f
= 0.2
*you could also check using your own calculator
*let me know if you want me to expand it if you don't have a calculator
7 1/2 divided by 2 5/8
Answer: 2 6/7
Step-by-step explanation:
Answer:
Answer is 75/32
Step-by-step explanation:
Convert the mixed number to an improper fraction so 7 1/2 changes to 15/2 divided by 2x5/8 but then you change the 2 to 1/2 so 15/2 x 1/2 x 5/8
then you multiply the fractions then you get 75/32
An 8-yard roll of tape costs $3.04. What is the unit price?
The unit price for the tape is $0.38 or 38 cents per yard.
The unit price is the price of one unit of measurement for a particular substance.
The unit price of a substance is used to calculate the total cost of a particular substance or the cost of a fraction of a substance.
Unit price is calculated by dividing the total cost by the total quantity of the product.
The given price of the product is $3.04 for a 8-yard roll of tape.
So to find the unit price we divide the total cost by the total length to find the cost of 1 yard of tape.
Unit price = $3.04 ÷ 8
or, Unit price = $ 0.38
Therefore the unit price of the tape is $0.38 or 38 cents.
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Find each product or quotient. √6 / 3√36
The given expression can be solved by finding the square root of the terms if possible and expressing the terms in the simplest form.
The square root of a number is the factor (number) that can be multiplied by itself to get that number (within the square root sign). Finding the square root of a number can be seen as the opposite of squaring a number. In the general form, √a*a=a.
In the given expression, the numerator √6 cannot be further simplified.
√6=√2*3
We cannot take square root as the number is not multiplying itself.
In the denominator √36 can be further simplified.
√36=√6*6=6
We can take square root as the number is multiplying itself.
Hence,
√6/3√36=√6/(3*6)=√6/18
The product or quotient of √6/3√36 is √6/18
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Using the change of base formula, what is the value of x for which log₉x=log₃5 ?
The value of x using the change of base formula of logarithm is 25.
What are the various properties of the logarithm?
Out of several properties of logarithms, some of the main properties are given below:
Product Rule
log (ab) = log a + log b
Change of base
log ₇ x = log x / log 7
Power Rule
log a² = 2 log a
Quotient Rule
log (a / b) = log a - log b
Solving the given equation by using the change of base formula
We are given a logarithmic expression: log ₉ x = log ₃ 5
Using properties of the logarithm, we have
log x / log 9 = log 5 / log 3
log x = (log 5 × log 9) / log 3
= (log 5 × 2 log 3) / log 3
= 2 × log 5
= log 5²
log x = log 5²
Applying exponent both sides, we get,
x = 25
Hence, the value of x is 25.
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Assuming a linear relationship, find the missing value in the table below.
y
x
1
2
3
4
5
4
7
10
13
Based on the constant average rates of change. , the missing value in the table is 16
What are linear relationships?Linear relationships are relationships that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the missing value in the table?The table of values is given as
x y
1 4
2 7
3 10
4 13
5
The constant average rates of change of linear relationships imply that:
As the x values constantly change by a value, the y values constantly change by another value (could be the same value)
On the given table, we can see the trend to be;
As x increase by 1, y increase by 3
So, the missing y value is
y = 13 + 3
Evaluate the sum
y = 16
Hence, the missing value in the table is 16
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Solve. Check for extraneous solutions. √x+1 + √2 x = √5 x+3
The extraneous solution is √2 and -√2
Extraneous solutions refer to the ones which when found the roots appear to be right, but are not exactly valid roots.
We have to check, whether the given solution is an extraneous one or not. We have to solve this equation,
√x+1 + √2 x = √5 x+3
or, √x + √2 x - √5 x = 3 - 1
or, - √2 x = 2Now, we have to square both sides,
∴ 2x² = 4
or, x² = 4/2
or, x² = 2
or, x = + √2 and - √2
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Han and Clare were running laps around the track. The coach recorded their times at the end of laps 2,4,6, and 8.
Han's run:
Distance (laps) Time (minutes) Minutes Per Lap
2 laps 4 minutes
4 laps 9 minutes
6 laps 15 minutes
8 laps 23 minutes
How many minutes are per lap?
Answer: 2 laps four minutes
explanation:
90+x+67+35=180
Step by step please if someone could help
Answer:
[tex] \sf{x=−12}[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
90+x+67+35=180
Step 1: Simplify both sides of the equation.
90+x+67+35=180
(x)+(90+67+35)=180(Combine Like Terms)
x+192=180
x+192=180
Step 2: Subtract 192 from both sides.
x+192−192=180−192
x=−12
Is 2 3/4 greater or less then 2 4/6
Answer:
NOT GREATER!!!
Step-by-step explanation:
0.6667 is NOT greater than 0.6667 which also means that 2/3 is NOT greater than 4/6.
How is solving a square root equation similar to solving an absolute value equation? How is it different?
The absolute value will always be a positive number while solving an equation that does not involve an absolute value could be any number.
The absolute value of a number n, written |n|, can be described
geometrically as the distance of n from 0 on the number line.
For instance, |42| = 42 and |–42| = 42. Both 42 and –42 are 42 units
from zero.
Algebraically, the absolute value of a number can be defined
piecewise as follows.
|x| = {
x, for x ≥ 0
–x, for x < 0
Examine the definition carefully. Because –x is the opposite of x,
–x is positive when x is negative. For instance, |–7.4| = –(–7.4) = 7.4.
Thus |x| are |–x| are never negative, and, in fact, |x| = |–x|.
On many graphing utilities, spreadsheets, and CAS, the absolute–
the value function is denoted abs. For example, abs(x–3) = |x–3|.
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The 1s in 110 please help 5th grade
Answer:
100 and 10
Step-by-step explanation:
Use the proportion d / 180° = r radians/πradians . Find the equivalent degree measure or radian measure. 7π / 2 radians
Answer:
the answer is 90⁰ ok that
PLEASE HELP I’LL GIVE BRAINLIEST!!!!
Which equation represents the line through (0, 0) and (4, 7)
A. y = 7/4x
B. y = 4/7x
C. y = 7x
D. y = 4x
Answer:
A) [tex]y = \frac74x[/tex]
Step-by-step explanation:
Since the equation's graph passes through the origin, its [tex]c[/tex] value is equal to 0, and, therefore, you will only need to find the slope as the equation is of the template [tex]y = mx[/tex] where [tex]m[/tex] is the slope.
To find the slope, you can substitute the coordinates of the given points into the formula for a line's slope: [tex]y = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]y = \frac{7 - 0}{4 - 0} \to \frac74[/tex]
Therefore, the line's equation is [tex]y = \frac74x[/tex]
What polynomial must be added to -5c² - 3+ 4c in order to get a sum of -2c²-c+1?
Answer: 3c^2 +4 -5c
Step-by-step explanation:
-2c^2 -c +1 -(-5c^2 -3 +4c)
3c^2 +4 -5c
Simplify (h³)^7
Please
Answer:
[tex]\sf \bf h^{21}[/tex]
Step-by-step explanation:
Exponent law:We have to multiply the powers.
[tex]\sf \boxed{\bf (a^m)^n=a^{m*n}}[/tex]
[tex]\sf (h^3)^7=h^{3*7}[/tex]
[tex]\sf = h^{21}[/tex]
i will give brainliest and thanks to whoever answers pls and thx!!
Answer: 4r + 4s - 16s
Step-by-step explanation:
r +3r = 4r
-10s -6s =16s
2t + 2t =4t
key when you see the word perimeter than think of addition
please help asap only question i don’t know
Answer:
Find out the number of video games that Jasmine can buy with her savings .
To proof
Let us assume that the number of video games Jasmine can buy be x .
As given
Jasmine wants to use her savings of $1128 to buy video games and music CDs.
The total price of the music CDs she bought was $72. The video games cost $43 each.
Than the equation becomes
72 + 43× x = 1128
simplify
72 + 43x = 1128
43x = 1128 - 72
43x = 1056
x = 24.6 (approx)
Take
x = 24
Therefore the maximum number of video games that Jasmine can buy with her savings be 24 .
Step-by-step explanation:
The maximum number of video games that Jasmine can buy with her savings is... 24 ✅
Allow me to explain...
First, subtract $72 from $1,128
1,128 - 72 = 1,056
⬆️ ⬆️
Then, divide $1,056 by $43
1,056 ÷ 43 = 24.5581...
⬆️ ⬆️
Coming to the conclusion that Jasmine only has enough money for a maximum of 24 video games. ✅
I hope this was helpful! (✿◠‿◠)
Fill in the blanks.
There are two types of exponential functions. For _______ , as the value of y increases, the value of y decreases, approaching zero. For ________, as the value of {x} increases, the value of y increases.
There are two types of exponential functions. For x or y increases as the value of y increases, the value of y decreases, approaching zero. For
approaching zero as the value of {x} increases, the value of y increases.
Which two forms of exponential functions are there?
Exponential growth and decay are the two different kinds of exponential functions. When b > 1, the function f (x) = bx represents exponential development. If 0 b 1, then the function f (x) = bx depicts exponential decay.What does Y mean in the exponential growth equation?
The variables y, a, r, and t represent the ultimate amount, growth rate, and decay rate, respectively, in the exponential growth and decay formulas. Growth exponential: y = a (1 + r)t. Decay exponential: y = a (1 r)t. A city's population is growing at a rate of 4% per year.Learn more about Exponential growth
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what is the equation of this parabola??
The equation of the parabola in vertex form is y = - (1 / 4) · x².
How to derive the equation of the parabola
In this problem we find a parabola whose axis of symmetry is on the y-axis and the directrix is above the parabola, which means that the least distance between the vertex and the directrix is negative. The equation of the parabola in vertex form is described below:
4 · p · (y - k) = (x - h)²
Where:
p - Least distance of the vertex from the directrix.(h, k) - Coordinates of the vertex.If we know that p = - 1 and (h, k) = (0, 0), then the equation of this parabola is:
4 · (- 1) · y = x²
- 4 · y = x²
y = - (1 / 4) · x²
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A truck that can carry no more than 6300 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 300 lb and each piano weighs 425 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 11 refrigerators and 8 pianos overload the truck? Explain.
The inequality for the load in truck is 300r + 425p ≤ 6300.
11 refrigerators and 8 pianos will overload the truck.
Given,
The carrying capacity of truck = 6300 lbs
The truck is used to transport refrigerators and pianos.
The weight of 1 refrigerator = 300 lb
The weight of 1 piano = 425 lb
We have to find an inequality which shows the number of refrigerators and pianos could the truck carry.
Let's take the number of refrigerators as r and number of pianos as p.
We can equate by using their weights:
That is,
300r + 425p ≤ 6300
Next, we need to determine that, will 11 refrigerators and 8 pianos overload the truck:
We have to multiply the given number with their weights:
That is,
(300 × 11) + (425 × 8) = 3300 + 3400 = 6700
6700 is greater than 6300.
So, we can conclude that 11 refrigerators and 8 pianos will overload the truck.
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What does |-5| + |7| equal?
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Remember that we're using absolute values. A negative number plus a positive number is the same as a positive number subtracted by another positive number.