The modal sizes of shoes in the family's cupboard are 8 and 7.
To determine the modal size of shoes in the family's cupboard, we need to find the shoe size that appears most frequently in the given data. Let's analyze the sizes:
8, 7, 8, 8.5, 7, 8.5, 7
To find the mode, we can create a frequency table by counting the number of occurrences for each shoe size:
8 | 3
7 | 3
8.5 | 2
From the frequency table, we can see that both size 8 and size 7 appear three times each, while size 8.5 appears two times. Since both size 8 and size 7 have the highest frequency of occurrence (3), they are considered modal sizes. In this case, there is more than one mode, and we refer to it as a bimodal distribution.
To determine the mode, we performed a frequency count of each shoe size in the given data. We counted the number of occurrences for sizes 8, 7, and 8.5. Based on the frequency counts, we identified the sizes with the highest frequency, which turned out to be 8 and 7, both occurring three times. Thus, they are the modal sizes in the data set.
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find the statement that is incorrect. Then, correct and rewrite the statement in the space provided. Show any necessary work.
The incorrect statement is
The transformation can be represented by (7/3x, 7/3y)What is Dilation in Transformation?In mathematics, dilation can be defined as a transformation which alters the size of an object, though its shape remains unchanged. It is described as a specific similarity transformation where all dimensions associated with the given object (i.e. height, width and length) are increased or decreased uniformly by a particular scale factor.
A dilation thus produces an alteration in size, with the figure being either magnified or diminished while keeping its unique shape intact.
The scale factor used in the dilation is 9/7 instead of 7/3.
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What is the slope of the line that passes through (2, 12) and (4, 20)?On the graph of the equation 3x + 2y = 18, what is the value of the y-intercept?
Answer: The slope of the line that passes through (2, 12) and (4, 20) is 4.
The value of the y-intercept is 9.
Step-by-step explanation:
Slope of line passing through (a,b) and (c,d) = \(\dfrac{d-b}{c-a}\)
Then, the slope of the line that passes through (2, 12) and (4, 20) = \(\dfrac{20-12}{4-2}\)
\(=\dfrac{8}{2}=4\)
So, the slope of the line that passes through (2, 12) and (4, 20) is 4.
To find the y-intercept of 3x + 2y = 18, first write in slope intercept form y=mx+c ( where c= y-intercept ).
\(2y=-3x+18\\\\\Rightarrow\ y=-\dfrac{3}{2}x+9\)
By comparison, c= 9
Hence, the value of the y-intercept is 9.
-⅘ + ⅗
I really need help on this
Answer:
The answer is -1/5
Step-by-step explanation:
The answer is -1/5 because -4/5 plus 3/5 is in decimal form -0.2 but in fraction form it is -1/5
Ten students from a school appear in one or more subjects for an inter school quiz competition as shown in the table given below. General Knowledge Math Science Acel Barek Carlin Acton Bay Acton Anael Max Anael Max Kai Kai Carl Anael Dario Dario Carlin Barek Let G represents the set of students appearing for General Knowledge, M represents the set of students appearing for Math, and S represents the set of students appearing for Science. Find G n M and G u S .
The computation shows that:
G n M = Anael and Max
G u S = Acel, Action, Anael, Max, Carl, Dario, Catlin, Kai, and Barek.
How to illustrate the information?From the information, ten students from a school appear in one or more subjects for an inter school quiz competition as shown in the table.
The subjects include general Knowledge Math Science.
Therefore, G represents the set of students appearing for General Knowledge, M represents the set of students appearing for Math, and S represents the set of students appearing for Science. The intersection is illustrated above.
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What is the reason for statement 3, statement 5, statement 7?
Answer:VOA
Step-by-step explanation:
3 and 5 )vertically opposite angles
7) same as 4
Which point on the number line represents the product of 4 and –2?
Point A
Point B
Point C
Point D
Answer:
It's A
Step-by-step explanation:
the one above me is incorrect it's "A"
Answer:
A
Step-by-step explanation:
hi
2+6453433+7/2=? what is the anwcer to this queston. please help
Answer:
6453438.5
Step-by-step explanation:
calculatorrrrr
A firm makes circular drink mats , of radius 4.5cm , that are 3mm thick . They want to produce a rectangular box to hold a pile of 12 mats. What are the minimum dimensions of the box.
Please answer with working out
please help
its maths level 2 its hard
The minimum dimensions of the rectangular box will be 9cm by 9cm by 3.6cm or 90mm by 90mm by 36mm
Calculating the dimensions of a rectangular boxTo calculate the dimensions of a rectangular box, firstly measure its length, width, and height using the same units such as millimeters or centimeters for all 3 measurements! Then, multiply the 3 measurements together using Length × Width × Height.
From the question, radius of the circular mat is 4.5cm, hence;
the total length of the mat = 2 × 4.5cm {2radius = diameter}
the total length of the mat = 9cm
The length of the mat is the same around the mat, thus the box has a length of 9cm by width of 9cm.
The height of the rectangular box will be determined by the total thickness of the 12 mats, so;
the thickness of a mat is given as 3mm
thus converting millimeter to centimeter
thickness of a mat = 0.1cm × 3 {as 1mm = 0.1cm}
thickness of a mat = 0.3cm
total thickness of 12 mats = 0.3cm × 12
total thickness of 12 mats = 3.6cm
From our workings, the rectangular box will have a minimum dimension of length 9cm by width 9cm by height 3.6cm or 90mm by 90mm by 36mm.
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what is the maximum value of the function? explain what the maximum value of this represents in this situation. make sure to include information about the x-value and y-value in your explanation
wowwwww he just roasted youuuuuuuuuu!!!!!
Solve for n. 7^n= 3^n
Answer:
This answer is not solveable
Step-by-step explanation:
If N is 1, then it will be 7 = 3. There is no number on this universe that can equal to 7 = 7 or 3= 3
determine the coordinates of S(-7,1)after a reflection in the line y=3
This just means that the y coordinate will always be 3 for all coordinates of x that means that the y coordinate of the point ( -7,1) will change to
(-7,3)
Change $35,000 per year to dollars per hour
25
Evaluate:
10
Σ¹04(-2)n-¹ = [? ]
please I need help :(
Answer: -1364
Step-by-step explanation:
This is a geometric series with first term 4 and a common ratio of -2.
Using the sum of a geometric series formula, we get this sum to be equal to:
\(\frac{4(1-(-2)^{10}}{1-(-2)}=\boxed{-1364}\)
Find the area of the sector in
terms of pi.
120°
24
Area = [?] π
Enter
the corollary to the polygon angle-sum theorem finds the measure of each interior angle of a regular n-gon. *write a formula to find the measure of each interior angle using n
The Corollary to the polygon is explained below and the formula to find the measure of each interior angle is " (n - 2)×180°/n " .
The Corollary to the polygon Angle Sum Theorem states that : the sum of the interior angles of a regular n gon is written as :
that means , ⇒ Sum of interior angles = (n - 2) × 180° ...equation(1)
In a regular "n-gon" , all the interior angles are said to be congruent.
Let "x" be measure of each interior angle of a regular n-gon.
So , we can write ;
⇒ Sum of interior angles = (n)×(x) ;
Equating the above expressions with equation(1),
⇒ (n)×(x) = (n - 2) × 180° ;
On Solving for x,
⇒ x = (n - 2)×180°/n ;
Therefore, the measure of each interior angle of a regular "n-gon" is x = (n - 2)×180°/n .
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The range of the following relation R {(3,-5), (1, 2), (-1,-4), (-1, 2)} O {-1, 1, 3} O {-5, -4, 2} O {-1, -1, 1,3} O {-4, -5, 2, 2}
A. (-1, 1, 3)
B. (-5, -4, 2)
C. (-1, -1, 1, 3)
D. (-4, -5, 2, 2)
Answer:
c
Step-by-step explanation:
this is the answer I think so if having doubt check
Calculator
A normal distribution has a mean of 102 and a standard deviation of 2.9.
What is the z-score of 105?
Enter your answer, rounded to the nearest hundredth, in the box.
Answer:
the z score of 105 is 1.03
Step-by-step explanation:
Given that
the mean is 102
And, the standard deviation is 2.9
We need to find the z score of 105
As we know that
Z score = (Observed value - mean) ÷ standard deviation
= (105 - 102) ÷ 2.9
= 1.03
Hence, the z score of 105 is 1.03
The same would be considered and relevant
Find the missing side lengths. Leave your answers as radicals in simplest form.
Please help!!!! Due today no one ever answers it
Suppose that the function f(x)=2x + 6 Represents the number of cars to drive by an ex minutes how many cars will drive by in 4 minutes
Answer:
14
Step-by-step explanation:
Put 4 where x is in the function and do the arithmetic.
f(4) = 2(4) +6 = 8+6 = 14
14 cars will drive by in 4 minutes.
What is the volume of the shape below
The volume of the given figure is 1176 cubic cm.
The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).
The volume of the figure is calculated as,
Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )
Volume = 1176 Cubic cm
Hence, the volume of the figure will be equal to 1176 Cubic cm.
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In a bag there are 3 pink, 5 blue, 3 yellow, and 1 purple jellybeans. What is the probability of picking a jellybean that is NOT blue? Is this theoretical or experimental probability? Why?
!:
If you could mark as brainliest that would be great!
Answer:
The probability of picking a jellybean that is NOT blue is:
(number of jellybeans that are not blue) / (total number of jellybeans)
= (3 + 3 + 1) / (3 + 5 + 3 + 1)
= 7/12
This is theoretical probability because it is based on the assumption that each jellybean has an equal chance of being picked, without actually performing the experiment.
Answer: The probability of picking a jellybean that isn’t blue is has a 7/12 chance. This is a theoretical probability because you never can exactly tell if you’re gonna pick blue or not.
(The underlined parts are your answers.)
Step-by-step explanation: Have a great day <3
I need help ASAP please
A circle is 360 degrees so 360 = b + 96 + 209
360 = b + 305
b = 55 degrees.
F
G
H
J
If the diameter of a circle is 16 cm and the
intercepted arc length is 6m, what is the
measure of the central angle in radians?
3
8
3
7T
3
T
3²7
The measure of the central angle is 0.75 radians
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
The length of an arc with an angle of Ф is given by:
Length of arc = (Ф/360) * (π * diameter)
The diameter is 16 cm and intercepted arc length is 6 cm, hence:
Length of arc = (Ф/360) * (π * diameter)
6 = (Ф/360) * (π * 16)
Ф = 42.97°
Ф = 42.97° * π/180 = 0.75 radian
The measure of the central angle is 0.75 radians
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Solve and graph the solution set. Indicate a scale. Please draw it clearly and understandably. I don't understand 3 and 4.
Part 3
we have
4x-3 < 13
solve for x
adds 3 both sides
4x-3+3 < 13+3
4x< 16
divide by 4 both sides
4x/4 < 16/4
x< 4
the solution is the interval (-infinite, 4)
All real numbers less than 4
In a number line the solution is the shaded area at left of x=4 (open circle)
see the attached figure
Part 4
we have
5x+10> 14x-8
solve for x
5x-14x > -8-10
-9x > -18
multiply by -1 both sides
9x < 18
divide by 9 both sides
x < 2
the solution is the interval (-infinite, 2)
In a number line the solution is the shaded area at left of x=2 (open circle)
see the attacjed figure
solve for x
adds 3
Amadi has jar with one dollar and two dollar coins in it.
There are coins in total.
A jar of one and two dollar coins.
The ratio of one dollar coins to two dollar coins is .
How many coins are two dollar coins
Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.
Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.
Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.
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can some please help me with this
Answer:
b) AB congruent to DC
Step-by-step explanation:
SSS Cobgruence Criterion simply says that if all the three corresponding sides of two triangles are same in length..
then the triangles are congruent..
Here, We are already given that AD=ED and BE=EC.. hence, to prove through the SSS criterion we just need to represent that AB=DC
Your revenue (in dollars) for selling x hamburgers is given by f(x) = 5x and your profit is $20 less than 70% of the revenue. What is your profit for 24 sales?
The profit for 24 sales is $64.
The profit for 24 sales, we first need to calculate the revenue and then determine the profit based on the given information.
The revenue function is given as f(x) = 5x, where x represents the number of hamburgers sold.
To find the revenue for 24 sales, we substitute x = 24 into the revenue function:
Revenue = f(24)
= 5 × 24
= 120 dollars
Now, let's calculate the profit.
The profit is $20 less than 70% of the revenue.
We can express this mathematically as:
Profit = 0.7 × Revenue - $20
Substituting the value of Revenue we calculated earlier:
Profit = 0.7 × 120 - $20
= 84 - $20
= $64
We must first compute the revenue for 24 sales before calculating the profit based on the available data.
The revenue function is denoted by the formula f(x) = 5x, where x is the quantity of hamburgers sold.
We add x = 24 to the revenue function to get the revenue for 24 sales:
f(24) = 5 x 24 = 120 dollars is the revenue.
Let's now determine the profit.
The profit is $20 below the revenue's 70%.
This may be written mathematically as:
Revenue - $20 x Profit = 0.7
Substituting the earlier determined figure of Revenue:
Earnings = 0.7 x 120 - $20 = 84 - $20 = $64
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The units of an item available for sale during the year were as follows: Jan. 1 Inventory 50 units at $124 Mar. 10 Purchase 60 units at $132 Aug. 30 Purchase 20 units at $138 Dec. 12 Purchase 70 units at $142 There are 80 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the ending inventory cost and the cost of goods sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar. blank Cost of Ending Inventory and Cost of Goods Sold Inventory Method Ending Inventory Cost of Goods Sold First-in, first-out (FIFO) $fill in the blank 1 $fill in the blank 2 Last-in, first-out (LIFO) fill in the blank 3 fill in the blank 4 Weighted average cost fill in the blank 5 fill in the blank 6
Ending Inventory Cost and Cost of Goods Sold using different inventory methods:
FIFO Method:
Ending Inventory Cost: $11,920
Cost of Goods Sold: $15,068
LIFO Method:
Ending Inventory Cost: $11,996
Cost of Goods Sold: $15,123
Weighted Average Cost Method:
Ending Inventory Cost: $11,974
Cost of Goods Sold: $15,087
Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.
This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.
Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.
This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.
Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.
Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.
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5x + 2y =17
3x +2y=13
Keegan is determining whether the triangle with vertices L(-1, 3), M(5, 5) and N(7, -1) is a right triangle. Keegan finds the slopes as shown and concludes that the triangle is not a right triangle because the product is not -1. What is his error and what should he do to correct it?
(added an image)
will mark brainiliest
Keegan's error is assuming that the product of the slopes of any two sides of a triangle should be -1 for the triangle to be a right triangle.
To determine if the triangle LMN is a right triangle, Keegan should instead calculate the lengths of the three sides of the triangle and check if they satisfy the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
To correct his approach, Keegan should calculate the lengths of sides LM, MN, and NL using the coordinates of the vertices and then check if the Pythagorean theorem holds true.
If the squared length of one side is equal to the sum of the squares of the other two sides, then the triangle LMN is a right triangle.
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