The given statement: The standard deviation is a resistant measure of spread is true.
Standard deviation is the measure of how spread out numbers are. It is a measure that is used to quantify the amount of variation or dispersion of a set of data values.
The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability. When data points are closely spaced from the mean, there is a little variation, and when they are far spaced from the mean, there is a large variation. The standard deviation determines how much the data deviate from the mean.
When outliers are included, resistant statistics don't change (or vary very little). Resistance does not imply that anything is immobile; that would be "immovable." It implies that your results could fluctuate a bit, but not much.
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The table shows the revenue produced for the number of units sold.
u (units)/r($)
30/8
32/9
34/10
36/11
How much revenue will be produced for 45 units?
Answer: 12$
Step-by-step explanation: To find the revenue produced for 45 units, we need to find the equation that represents the relationship between the number of units sold (u) and the revenue produced (r). Based on the information given in the table, we can see that the revenue increases as the number of units sold increases. So, we can assume that there is a direct proportion between the number of units sold and the revenue produced. Therefore, we can use the equation: r = ku, where k is the constant of proportionality.
We can use any two of the given pairs (u, r) to find k. For example, using (30, 8), we have:
8 = k * 30
k = 8 / 30 = 4/15
So, the equation representing the relationship between the number of units sold and the revenue produced is: r = 4/15 * u. To find the revenue produced for 45 units, we can plug in u = 45 into the equation:
r = 4/15 * 45 = 12.
Therefore, the revenue produced for 45 units is $12.
The estimated fuel economy of a car is 27 miles per gallon (mpg), but your friend who has this car says she gets only about 24 mpg. Explain how both of these statements can be correct.
Both the estimated amount of fuel used by the car and the actual quantity of fuel used by the car are correct due to the following reasons explained below.
What is an estimated value?An estimated value is defined as an approximate value which is close enough to the correct value.
An actual value is defined as the value that is being obtained from an observed data and is taken to be the correct value of the data.
The estimated value economy of the car = 27 miles per gallon (mpg).
The actual value = 24 mpg
Therefore, Both the estimated amount of fuel used by the car and the actual quantity of fuel used by the car are correct because the actual value is within the estimated value.
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Consider this hypothetical reaction: a 3b c 3d. assume that the equation is balanced. in which of the reactant mole ratios given will reactant b be the limiting reagent? question 12 options: 2a/7b a/b a/4b a/5b
The only option in which B can be the limiting reagent is A/B = 1.
The molecular equation for this hypothetical reaction is 3A + 3B → 3C + 3D. To determine which reactant is the limiting reagent, we must calculate the mole ratios of the reactants. In this case, we need to compare the ratio of A to B.
If we assume that the equation is balanced, then this means that there are an equal number of moles of A and B in the reaction. Therefore, the mole ratio of A to B is 1:1 (A/B = 1).
The other given options are 2A/7B, A/4B and A/5B. All of these ratios are greater than 1, meaning that B is in excess and will not be the limiting reagent. Therefore, the only option in which B can be the limiting reagent is A/B = 1.
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Which of the following describes the transformation from Figure 1
to Figure 2
The translation from figure 1 to figure 2 is 4 units to the left and one unit up.
Which transformation is applied from figure 1 to figure 2?Here we have two figures, the blue one is figure 1 and the orange one is figure 2.
Clearly we have a translation here, to identify the translation just analyze one of the vertices.
The top vertex at the blue figure is (2, 1)
The top vertex at the orange figure is (-2, 2)
The translation is given by:
T = (-2, 2) - (2, 1) = (-4, 1)
So we have a translation of 4 units to the left and one unit up.
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Answer:
Step-by-step explanation:
answer is a
PLEASE HELP AND PLEASE READ THE QUESTION T_T
The number of revolutions per foot is 1/4 and the slope is 1/4
How to determine the number of revolutions per footFrom the question, we have the following parameters that can be used in our computation:
The graph
The graph passes through the origin
So, we can make use of a point to determine the required
So, we have
Revolution = y/x
This gives
Revolution = 1/4
This is also the same as the slope
i.e. slope = 1/4
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Please help grade 8 math
Answer:
2, 3, 5
Step-by-step explanation:
To test whether a graph is a function, we use the line test. If one x has two y then that graph is not a function. In all the graphs 2,3,5 represent a function.
help please help i need
What is the total surface area of the square pyramid below?
A 192 ft2
B 335 ft2
C 320 ft2
D 464 ft2
The total surface area of the square pyramid is 240 ft².
What is a pyramid?A three-dimensional figure is a pyramid. Its base is a flat polygon. The remaining faces are all triangles and are referred to as lateral faces.
The number of sides on its base is equal to the number of lateral faces. The line segments that two faces intersect to form its edges. The intersection of three or more edges forms a vertex.
The total surface area of the square-shaped pyramid is the sum of areas four similar triangles having a height of 8 feet,
And a base of 12 feet and the area of a square having sides lengths of 12 feet which is,
= 4[(1/2)×8×12] + 12×12 ft².
= 4×4×12 + 144 ft².
= 96 + 144 ft².
= 240 ft².
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help!! matthh.. math math math math... MATH!!..
Answer:
6
Step-by-step explanation:
3/4 * x/7 = 9/14
x= 6
43% of $4587 +100pts
Answer:
$1,972.41
Step-by-step explanation:
Half of $4587 is:
2,293.50$
What is 7% of 4587$?
The answer to that is, what I quote:
321.09$
Now lets do some fairly simple math:
2,293.50$
321.09$ -
------------------
1,972.41$
Thus, your answer is:
1,972.41$
Answer:
$1,972.41
Step-by-step explanation:
PLEASE DO IT I WILL GIVE CROWN THING------ ⇒a retail store is 160 ft long and 120 ft wide. the clothing department takes up half of the total area. how many square ft does the clothing department cover
The area in square ft that is covered by the department would be = 9,600 ft²
How to calculate the area covered by the department?The length of the retail store = 160 ft long
The width of the retail store = 120 ft wide
The formula used to calculate the area of a square= length × width
A = 160×120
= 19,200
The area of the retail = 19,200/2 = 9,600 ft²
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In the diagram below, all the measurements are given correct to the nearest cm. Not drawn to scale 28 cm 15 cm 21 cm 42 cm Calculate the greatest possible area of the shaded region.
The greatest possible area of the shaded region is 462 square centimeter.
What is Area of Rectangle?The area of Rectangle is length times of width.
In the given figure there are two rectangles.
In one rectangle the length is 28 cm and width is 15cm.
The area of small rectangle=28×15
Area of small rectangle 420
Another rectangle with length 42cm and width 21 cm
The area of large rectangle=42×21
Area of large rectangle 882 square centimeter.
The area of shaded region is 882-420
462
Hence, the greatest possible area of the shaded region is 462 square centimeter.
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a particular brand of shirt comes in 25 colors, has a male version and a female version, and comes in 3 sizes for each sex. how many different types of this shirt are made?
There are 150 different types of this shirt made.
There are 25 different colors, two different versions (male and female), and three different sizes for each. To calculate the total number of different types of shirt, we can use the formula: (25 colors) x (2 versions) x (3 sizes) = 150. Therefore, there are 150 different types of this shirt made.
To further illustrate, each color is available in both male and female versions, and each version has three sizes (small, medium, and large). As a result, 25 colors x 2 versions x 3 sizes = 150 different types of shirts. So, if you wanted a yellow shirt in size medium, there would be a total of 150 different types of this shirt to choose from. There are 150 different types of this shirt made.
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Need help with the picture attached, involving derivatives.
dy/dx = 0 when x = - 2, and x = 2/3 is not possible.
dy/dx = 0 when x = - 1, and x = 5.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 7 is an equation.
We have,
y = x³ - 6x² - 15x - 7
Differentiating w.r.t x.
[ d[tex]x^n[/tex]/dx = n[tex]x^{n - 1}[/tex] ]
[ dc/dx = 0 ]
dy/dx = dx³/dx - 6dx²/dx - 15dx/dx - d7/dx
dy/dx = 3[tex]x^{3 - 1}[/tex]dx/dx - 6 x 2[tex]x^{2-1}[/tex]dx/dx - 15 - 0
dy/dx = 3x² - 12x - 15
Now,
dy/dx = 0
3x² - 12x - 15 = 0
3(x² - 4x - 5) = 0
x² - 4x - 5 = 0
x² - (5 - 1)x - 5 = 0
x² - 5x + x - 5 = 0
x(x - 5) + 1(x - 5) = 0
(x - 5) (x + 1) = 0
x - 5 = 0
x = 5 _____(1)
x + 1 = 0
x = -1 _____(2)
Now,
For x = 2,
dy/dx = 3x² - 12x - 15
dy/dx = 3 x 4 + 24 - 15
dy/dx = 12 - 24 - 15
dy/dx = 12 - 39
dy/dx = -27 _____(3)
For x = 2/3,
dy/dx = 3x² - 12x - 15
dy/dx = 3 x 4/9 + 24 x 2/3 - 15
dy/dx = 4/3 + 16 - 15
dy/dx = 4/3 + 1
dy/dx = 7/3 _____(4)
From (1), (2), (3), and (4)
dy/dx = 0 when x = - 2 and x = 2/3 is not possible.
Thus,
dy/dx = 0 when x = - 1, and x = 5.
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a rectangular container with a square base, an open top, and a volume of 1,372 cm3 is to be made. what is the minimum surface area for the container? enter only the minimum surface area, and do not include units in your answer.
The required surface area of a rectangular container is 588cm² using a volume of 1,372 cm³.
What is the surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
In comparison to the definition of arc length for one-dimensional curves or the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces, the mathematical definition of surface area in the presence of curved surfaces is significantly more complex.
The surface area of smooth surfaces, such as spheres, is determined using their representation as parametric surfaces.
Partial derivatives and double integration are used in this definition of surface area, which is based on infinitesimal calculus techniques.
So, we have the volume:
1,372 cm³
Then, h = 1372/s².
Now, calculate as follows:
4 s 1372/s^2 + s^2 = area
5488/s + s^2 = area
s^2 + 5488 (s^-1) = area
2s - 5488 s^-2 = 0
5488 s^-2 = 2s
5488 = 2 s^3
2744 = s^3
s = 14
s * h * s = 1372
Then, we will have: h = 7
Surface area = 14*14+4*7*14 = 196+4*7*14 = 588 cm²
Therefore, the required surface area of a rectangular container is 588cm² using a volume of 1,372 cm³.
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A company sells mugs for a price of $10 each. In one month, the company sells 1,000 mugs. After doing research, the company realizes that for every $2 price increase per mug, it will sell 5 fewer mugs per month. The expression (1,000−5x)(10+2x) represents the situation.
Which two statements are true?
Responses
A. The term 2x represents the number of mugs sold.
The term 2 x, [if gte msEquation 12]>2x
B. The term 2x represents the price of each mug.
The term 2 x, [if gte msEquation 12]>2x
C. The term (1,000−5x) represents the number of mugs sold.
The term open paren 1 comma 000 minus 5 x close paren, [if gte msEquation 12]>(1,000-5x)
D. The term (10+2x) represents the price of each mug.
The term open paren 10 plus 2 x close paren, [if gte msEquation 12]>(10+2x)
E. The term (10+2x) represents the number of mugs sold.
. Factor the expression completely. -12x - 24
The expression 12x - 24 is factorized to give -12(x + 2)
What are algebraic expressions?Algebraic expressions are defined as expressions that are composed of terms, factors, constants, variables and coefficients.
They are also seen as expressions with arithmetic operations, such as;
SubtractionAdditionMultiplicationDivisionBracketParenthesesFloor divisionTo factor an algebraic expression is to find the greatest common multiples of the terms in the expression
From the information given, we have that;
-12x - 24
Factor the common terms
-12(x + 2)
Hence, the expression is -12(x + 2)
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Shopping at savers mart, Lisa buys her children four shirts and three pairs of pants for $85.50. She returns the next day and buys three shirts and five pairs of pants for $115.00. What is the price of each shirt and each pair of pants?
The price of each shirt is $7.5.
The price of each pant is $18.5.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 7 is an equation.
We have,
Cost of shirts = x
Cost of pants = y
Lisa buys her children four shirts and three pairs of pants for $85.50.
She returns the next day and buys three shirts and five pairs of pants for $115.00.
This means,
We can make two equations.
4x + 3y = 85.50
3x + 5y = 115
Now,
4x + 3y = 85.50
4x = 85.50 - 3y
x = (85.50 - 3y)/4
Substituting in 3x + 5y = 115.
3 (85.50 - 3y)/4 + 5y = 115
256.5 - 9y + 20y = 460
11y = 460 - 256.6
11y = 203.4
y = 18.5
And,
x = (85.50 - 3y)/4
x = (85.50 - 55.5)/4
x = 30/4
x = 7.5
Thus,
The cost of the shirt is $7.5.
The cost of the pant is $18.5.
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If M is the midpoint of XY, find the coordinates of Y when X and M have the following
coordinates:
a) X (−4, 2), M (0, 3)
b) X (−1, −3), M (0.5, −1.6)
c) X (6, −3), M (2, 1)
d) X (4, −3), M (0, −3)
a) Y can be found using the midpoint formula, which states that the midpoint of a line segment has coordinates equal to the average of the coordinates of its endpoints. In this case, the coordinates of Y are equal to the average of the coordinates of X and M.
The formula for finding the midpoint of two points is:
Midpoint = ( (x1 + x2) / 2, (y1 + y2) / 2 )
So, the midpoint of X and Y is ( ( -4 + 4 ) / 2, ( 2 + 3 ) / 2 ) = (0, 2.5)
What are the midpoints for other numbers?b) In the same way, the midpoint of X and Y is ( ( -1 + 1 ) / 2, ( -3 + -3 ) / 2 ) = (0, -3)
c) The midpoint of X and Y is ( ( 6 + 2 ) / 2, ( -3 + 1 ) / 2 ) = (4, -1)
d) The midpoint of X and Y is ( ( 4 + 0 ) / 2, ( -3 + -3 ) / 2 ) = (2, -3)
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subtract 20 by 6 in fraction form (answer not -14)
Answer:
20/6 = 3.33
20 - 6 = 14
consider this series. 16+24+36+54+... does the series converge or diverge? select answers from the drop-down menus to correctly complete the statement
The series 16+24+36+54+... diverges.
Divergent series are those that contain an infinite series that never converges and an infinite sequence of partial sums with no finite limit. In contrast, a series is considered to be convergent when its limits converge to its finite range of values. A limit that is finite in nature and exists for the partial sum of the series is crucial since only at that point will the series converge.
The given series in question 16 + 24 + 36 + 54 + deviates from the series. 16n, where n is the number of terms, can be used to denote the series' overall term. The total of the terms in the series also increases as n increases since 16n grows along with n, too. This indicates that the series diverges since it does not reach a particular finite value.
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What is the difference?
−43−(−15)
Enter your answer in the box.
Please help! :)
And hurry!
Answer:
-28 is the correct answer
Answer: -28 is your answer!
Step-by-step explanation: Hope this helped, just make sure you study so you ACE any exam you get! Studying and taking notes is v/ helpful. You got this!
sat there are 200 cookies in a bag. 15% for which are wrapped. if 80% of the cookies are oatmeal, what is the smallest number of wrapped oatmeal cookies that could be in the bag
Answer:12
Step-by-step explanation:
Monica won 40 pieces of candy playing bingo at her school’s game night. Later she gave two to each of her friends. She only has eight remaining. How many friends does she have?
what percentage of the u.s. population practice mindfulness and meditation techniques?14 percent28 percent42 percent56 percent
Step-by-step explanation:
14.2% of adults practice meditation in the us
Will Mark Brainlist! pls help
Solve for x on the diagram below
Answer:
Below
Step-by-step explanation:
X is tha same as the samll angle next to 77°
77+ x = 90 shows x = 13 degrees
Answer:
x=13 degrees
Step-by-step explanation:
by vertical angles, angle FGD = angle CGE = x
by supplementary angles, angle AGD = 90 degrees because angle AGC = 90 degrees
Because you know that AGF = 77 degrees, you can determine that
FGD = AGD-AGF
FGD = 90-77
FGD = 13
because of vertical angles, x = 13 degrees
rafi measures the big prize wheel on a game show and calculates that it has a circumference of 56.52 feet. what is the prize wheel's radius?
The radius of the prize wheel is approximately 9.06 feet.
The circle's circumference (or perimeter) = 2πR, where R is the radius of the circle. 3.14 is the approximate value of π(up to two decimal points) value of the mathematical constant.
Again, Pi (π) is a particular mathematical constant that represents the circumference to diameter ratio of any circle.
The formula for the circumference of a circle is:
C = 2 * π * r
Where "C" is the circumference, "π" is pi (approximately equal to 3.14159), and "r" is the radius.
We can rearrange this formula to solve for the radius:
r = C / (2 * π)
Plugging in the given values:
r = 56.52 / (2 * 3.14159)
r = 56.52 / 6.28318
r = 9.05849 (approximately)
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What is five times 14
What is 8 times 17
Answer:
5x18=90
19x17=36
Step-by-step explanation:
please help!! really need this answered asap
x+21 is the length of GH from the given figure.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
A triangle GHJ, M is the intersection of the three medians.
Given that GJ is twenty one.
GJ=21
We need to find the length of GH.
Let the length of HJ is x.
Now GH=HJ+GJ
GH=x+21
Hence, x+21 is the length of GH from the given figure.
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Can someone help asap please
You spin a spinner that is equally divided into 11 parts. 3 parts are green, 3 parts are speckled, 2 parts are white, and 3 parts are yellow.
What is the probability of the spinner not stopping at a white section? Write your answer as a decimal rounded to the nearest hundredth.
The probability of the spinner not stopping at a white section 0.82.
How to find the probabilityThe probability of the spinner not stopping at a white section is 1 minus the probability of the spinner stopping at a white section.
= 1 - probability of the spinner stopping at a white section
Since there are 2 white sections out of 11 total sections, the probability of stopping at a white section
= required outcome / possible outcome
= 2/11.
Therefore, the probability of not stopping at a white section
= 1 - 2/11
= 9/11.
Rounded to the nearest hundredth, this value is 0.82.
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