The correct option is The mode for the students is 2 and the mode for the teachers is 4.
To determine the mode of a data set, one must identify the number(s) that appear most frequently. In the dot plot for the students, the number of siblings that appears most frequently is 2, as there are 7 dots above the number 2 on the number line. This makes 2 the mode for the students' data.
For the teachers' data, the number of siblings that appears most frequently is 4, with 5 dots above the number 4 on the number line. Therefore, 4 is the mode for the teachers' data.
Comparing the modes of the two data sets, we have:
- Mode for students: 2
- Mode for teachers: 4
The other options provided do not accurately reflect the modes of the data sets based on the given dot plots.
Help please A multiple choice question has 6 options. What is the percentage of getting the answer correct ? Can you write the answer as a ratio too?
Answer:
16.67%
Step-by-step explanation:
No. of options: 6
Correct option: 1
P(correct) = 1/6 × 100
16.67%
The base and height of a triangle with base 12 in and the height 6 in are both tripled
Answer:
Base=36
Height=18
Step-by-step explanation:
To work this out you would first multiply 12 by 3, which gives you 36. Then you would multiply 6 by 3, which gives you 18.
1) Multiply 12 by 3.
[tex]12*3=36[/tex]
2) Multiply 6 by 3.
[tex]6*3=18[/tex]
3) Base=36
Height=18
[tex]\large\bf{\underline{\underline{\mathfrak{Question}:}}}[/tex]
The base and height of a triangle with base 12 in and the height 6 in are both tripled.
[tex]\large\bf{\underline{\underline{\mathfrak{Solution}:}}}[/tex]
It is given that,
[tex]:{\Longrightarrow{\small{\rm{The\:base\:of\:a\:triangle\:=\:12}}}}[/tex]
[tex]:{\Longrightarrow{\small{\rm{The\:height\:of\:a\:triangle\:=\:6}}}}[/tex]
And if both base and height get tripled then the base and height would be:
[tex]:{\Longrightarrow{\small{\rm{The\:base\:of\:a\:triangle\:=\:3×12}}}}[/tex]
[tex]{\therefore{\small{\rm{The\:new\:base\:of\:a\:triangle\:=\:36}}}}[/tex]
And,
[tex]:{\Longrightarrow{\small{\rm{The\:height\:of\:a\:triangle\:=\:3×6}}}}[/tex]
[tex]{\therefore{\small{\rm{The\:new\:height\:of\:a\:triangle\:=\:18}}}}[/tex]
Please help! Please let me know if you need a better picture.
Answer:
(x, -y)
Step-by-step explanation:
Look at the coordinates of the point C before the transformation (-2, 2)
look at the coordinates of the point C after the transformation, (-2,-2)
What is the difference between these two points?
Well the x is the same, the y is just the negative version of itself!
Answer:i need a better pic
Step-by-step explanation:
Evaluate the function.
f(x) = –x^2+ 3x + 13
Find f(-10)
Answer:
-117
Step-by-step explanation:
Plug -10 in every time you see "x". Then, I used a calculator to evaluate the function (find the answer). Then, I got -117.
Hope this helped :)
On a map the scale is shown as 0.5 inches equaling 15 miles. If two towns
are 2.25 inches apart on the map, what is the distance in miles between
the towns?
Answer:
The distance in miles between the towns is 67.5.
Step-by-step explanation:
Given:
On a map the scale is shown as 0.5 inches equaling 15 miles.
If the distance are 2.25 inches apart on the map between the towns .
Now, to find the distance in miles between the towns.
The distance on the map between the towns = 2.25 inches.
Let the actual distance between the two towns be [tex]x.[/tex]
The scale of the map is 0.5 inches equaling 15 miles.
If, 0.5 is equivalent to 15 miles.
Thus, 2.25 is equivalent to [tex]x.[/tex]
Now, to solve using by cross multiplication method:
[tex]\frac{0.5}{15} =\frac{2.25}{x}[/tex]
By cross multiplying we get:
[tex]0.5x=33.75[/tex]
Dividing both sides by 0.5 we get:
[tex]x=67.5\ miles.[/tex]
The actual distance between the two towns = 67.5 miles.
Therefore, the distance in miles between the towns is 67.5.
Which graph shows the solution set of the inequality 29(x+8) < 26.19
10
HELLLLP
Answer:
[tex]29\left(x+8\right)<26.19\\[/tex]
[tex]\frac{29\left(x+8\right)}{29}<\frac{26.19}{29}\\x+8<0.90310\dots \\x<-7.09689\dots[/tex]
I can't draw the graph but the notation is: [tex]x\in\mathbb{R}|x<-7.09689\dots[/tex]
x equals to all the region in the left from -7.09689...
In the diagram shown, what is the ratio of shaded parts to unshaded parts?
2 shaded for every 4 unshaded
O 6 shaded for every 2 unshaded
2 shaded for every 2 unshaded
O4 shaded for every 2 unshaded
Answer:
D
Step-by-step explanation:
Which statement is TRUE?
A) A measurable characteristic of a population is called a statistic.
B) A population includes all of the elements from a set of data.
C) Only one sample can be derived from the same population.
D) A measurable characteristic of a sample is called a parameter
The statement that's is true is B. A population includes all of the elements from a set of data.
It's should be noted that a population of a given set of numbers consists of all the numbers. During research, a sample is gotten from the entire population and everyone has a chance of being picked.
It should be noted that there are several samples that can be gotten from the population. Also, a measurable characteristic of a population is not referred to as a statistic.
In conclusion, the correct option is B.
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The correct statement is B) A population includes all of the elements from a set of data. This is because a population refers to the totality of subjects we wish to study, whereas a sample is a subset from which we collect data. A statistic is a measure of a sample, and a parameter is a measure of a population.
The question pertains to statistical terminology, specifically the definitions of sample, statistic, population, and parameter. B) A population includes all of the elements from a set of data. This statement is TRUE. A population refers to the entire set of subjects or elements that we are interested in studying. The definition can be applied across various contexts, such as all students in a school, all the birds in a forest, or all the cars produced by a factory.
Conversely, a sample is a subset of the population from which data is actually collected. This is because it is often impractical or impossible to collect data from the entire population. A statistic is a characteristic of a sample, such as the mean or standard deviation, which provides an estimate of the corresponding population parameter. A parameter, therefore, is a characteristic that describes the entire population. For instance, if we calculate the average height of a sample of students from a school, that average is a statistic that estimates the average height of the entire school population—an example of a parameter.
Statement A is incorrect because a measurable characteristic of a population is called a parameter, not a statistic. Statement C is incorrect because multiple samples can be drawn from the same population. Statement D is incorrect because a measurable characteristic of a sample is called a statistic, not a parameter.
A certain lottery consists of selecting five different numbered balls from numbered 1 to 15 white balls and one from 1 to 14 gold Mega balls. A player wins the jackpot by matching all five numbers drawn from white balls (1 through 15) and matching the number on the gold Mega Ball (1 through 14). What is the probability of winning the jackpot?
Answer:
1/42,042 or 2.38×10^-5
Step-by-step explanation:
Please kindly check the attached files for explanation
Paula is going to choose the size, color, phrase, and picture for a birthday card for her friend. There are
2
22 sizes,
4
44 colors,
7
77 phrases, and
4
44 pictures for her to choose from. (The printing company charges a fee to add extra design elements, so she will choose only one of each.)
How many different card designs are possible?
Answer:
224 card combinations
Step-by-step explanation:
The total number of card designs can be found by multiplying the number of options available for each design element.
Total number of cards= 2x4x7x4=?
224 cards altogether
3. Ryan asks 80 people to choose a marble, note the color, and replace
the marble in Brianna's bag. Of all random marble selections in this
experiment, 34 red, 18 white, 9 black, and 19 green marbles are selected.
How does the theoretical probability compare with the experimental
probability of drawing a white marble? Lesson 9-3
Answer:
22.5% hope this helps!
Step-by-step explanation:
1) 18 over 80
2) 18 divided by 80 = .225
3) move the decimal to the right twice
4) answer is 22.5%
Answer: Ex. Prob. Is 23 % becuase it’s 22.5 % you round the five up and get 23%
Step-by-step explanation:
18/20
divide 18 by 20
then you get .225
move the decimal point twice
you get 22.5%
round that up and get 23%
Multiply the binomial. To write x2 use "^". X^2
(3x + 2) (x– 4)
Answer:
3x^2-10x-8
Step-by-step explanation:
Which algebraic expression has like terms?
o 9n - 2n+3-4n
O 7n2+3n-3-6172
O 7n2 +4n-37 – 512
O 67° -4n4+67-512
Answer:
The third choice
Factor completely. x^4 - 9.
Answer:
[tex](x^2+3)(x^2-3)[/tex]
Step-by-step explanation:
Since both are perfect squares use the difference of squares formula [tex]a^2-b^2=(a+b)(a-b)[/tex] with a = [tex]x^{2}[/tex] and b = 3
=[tex](x^2 +3)(x^2-3)[/tex]
Solve for x please help
Answer:
x = 5
Step-by-step explanation:
By remote exterior angle theorem:
[tex](6 + 25x) \degree = (18x - 3)\degree + 44\degree \\ 6 + 25x = 18x - 3 + 44 \\ 25x - 18x = 41 - 6 \\ 7x = 35 \\ x = \frac{35}{7} \\ \huge \red{ \boxed{ x = 5}}[/tex]
I NEEP HELP ON THIS NOWWWWWW
i need the vertex, axis of symmetry, as well as if it is a vertical strech, shrink, and by a factor of how much for the graph in the picture above.
PLEASE HELP QUICK
Answer:
vertex and AOS is 0, and i think the stretch is 1
Step-by-step explanation:
Answer: vertex (0,0)
Vertical stretch
Axis of symmetry X=0
Step-by-step explanation:
I need some help :,)
Find x first to answer get brainliest
The two angles on the bottom form a right angle so they need to equal 90 degrees.
X = 90 - 35
X = 55 degrees.
Answer:
x=55
Step-by-step explanation:
The angles x and 35 are complementary, or add to 90 degrees
x+35=90
Subtract 35 from both sides
x=55
If the scale factor for the dilation shown is 3 which is the length of B’ C’
A 5/3
B 8
C 12
D 15
Answer:
It's 15
Step-by-step explanation:
Got it right
The measure of B'C' after the dilation of 3 is given by the equation BC = 15
What is Dilation?Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent
Given data ,
Let the triangle be represented as ABC
Now , the dilated triangle is represented as A'B'C'
The dilation factor d = 3
The measure of side AB = 4 units
The measure of side BC = 5 units
The measure of side AC = 3 units
Now , after the dilation of 3 , we get
The measure of side A'B' = 12 units
The measure of side B'C' = 15 units
The measure of side A'C' = 9 units
Hence , the measure of side B'C' is 15 units
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Travis's purchasing an $225000 home with a 30 year mortgage at 5.15% because he is not making a down payment PMI in the amount of $84.50 a month is required for the 1st 2 years of the loan based on this information what is the total cost of his loan
Answer:
The total cost of the loan = $444,208.80¢
Step-by-step explanation:
Please kindly check the attached files for details
Answer: $444,309.60
Step-by-step explanation:
Determine perimeter
Answer:
20cm
Step-by-step explanation:
7.2 + 7.2 + 2.8 + 2.8 = 20
Each side of the rectangle is equal to the side opposite from it. That means you have 2 sides of 7.2 cm and 2 sides of 2.8 cm.
To find perimeter, you add all the sides. So that's 7.2 + 7.2 + 2.8 + 2.8, which is 20 cm altogether.
An entertainment venue has a total advertising budget of $5 million per year. 30% of the budget is spent on social media and 25% is spent on traditional media. Within the traditional media spending, 15% is spent on print advertising, 50% is spent on TV
advertising and 3596 is spent on radio advertising. How much is spent on radio advertising?
Answer:
437,500
Step-by-step explanation:
The percentage value of amount of money spent on radio advertising is given by R = $ 437,500
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the percentage value of amount of money spent on radio advertising be represented as R
Now , the total amount of revenue money = $ 50,00,000
The percentage of money spent on traditional media = 25 %
So , the amount of money spent on traditional media = percentage of money spent on traditional media x total amount of revenue money
On simplifying , we get
The amount of money spent on traditional media = ( 25/100 ) x 5000000
The amount of money spent on traditional media = $ 12,50,000
Now , the percentage of amount spent on radio advertising = 35 %
So , the amount of money spent on radio advertising = ( 35/100 ) x amount of money spent on traditional media
On simplifying , we get
The amount of money spent on radio advertising = ( 35/100 ) x 12,50,000
The amount of money spent on radio advertising = $ 4,37,500
Hence , the amount of money on radio advertising is $ 4,37,500
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Use the properties of exponents to solve for each variable.
4^8•4^2=4a
(2^4)^5=2^b
5^6/5^2=5^c
a=
b=
c=
Answer:
[tex] {4}^{8} {4}^{2} = {4}^{10} [/tex]
[tex]( { {2}^{4} )}^{5} = {2}^{20} [/tex]
[tex] \frac{ {5}^{6} }{ {5}^{2} } = {5}^{4} [/tex]
a = 10, b = 20, c = 4
If this trapezoid is moved through the translation (x+3,y-2), what will be the coordinates of c
Answer:
C'(1, 2 )
Step-by-step explanation:
The translation (x + 3, y - 2 ) means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus
C(- 2, 4 ) → C'(- 2 + 3, 4 - 2 ) → C'(1, 2 )
Answer:
C = ( 1 , 2 )
Step-by-step explanation:
original : C = ( -2 , 4 )
formula : ( x+3 , y-2 )
( -2 + 3 ) , ( 4 - 2 )
C = ( 1 , 2 )
ill answer the other 3 as well :)
original : A = ( -6 , 2 )
formula : ( x+3 , y-2 )
( -6 + 3 ) , ( 2 - 2 )
A = ( -3 , 0 )
___________________
original : B = ( -5 , 4 )
formula : ( x+3 , y-2 )
( -5 + 3 ) , ( 4 - 2 )
B = ( -2 , 2 )
___________________
original : D = ( 1 , 2 )
formula : ( x+3 , y-2 )
( 1 + 3 ) , ( 2 - 2 )
D = ( 4 , 0 )
yw :)
The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases. A triangular pyramid is stacked on top of a triangular prism. They both share a triangular base. The triangle has a height of 10 and a base length of 22. The height of the triangular prism is 25. The height of the pyramid is 19.5. What is the volume of the composite figure? 715 units3 2,035 units3 2,750 units3 3,465 units3
Answer:
the answer is 3465
Step-by-step explanation:
got it right on ed
The required volume of composite figure is 3465 cubic units. Option d is correct.
For composite figure made of triangular pyramid over triangular prism both as congruent base with dimension h = 10 and base =22.
Hight for both pyramid and prism is 19.5 and 25
Volume of composite figure is to be determine,
When two or more solid put together to form new solid is said to be composite figure.
Here,
Volume of a pyramid = 1/3(1/2 base x height of triangle base)*h of
Volume of a pyramid = 1/3*22*10/2*19.5 = 715 cubic units
Similarly, for triangular prism
Volume of a triangular prism= 22*10/2x 25 = 2750 cubic units
Total volume = volume of a triangular (pyramid + prism)
Total volume = 715+2750
Total volume = 3465 cubic units.
Thus the required volume of composite figure is 3465 cubic units.
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Simon can spend no more than $50 on gifts for his family. Let srepresent the
amount he can spend. Choose the symbol that correctly completes the inequality
Find the area of the shape shown below
Answer:
A = (1/2)(3)(7 + 3) = 5(3) = 15
15 goes into the box.
You randomly choose one hat from 3 green hats, 4 black hats, 2 white hats, 2 red hats, and 1 blue hat. How many total hats are there?
Answer:
12 hats
Step-by-step explanation:
Describe possible consequences of each of the following.
A. failing to pay cell phone
B. failing to pay your credit card bill on time.
1. The sides of a triangle measure 6 inches, 10 inches, and 13 inches. What type of triangle is it?
A. right
B. scalene
C. isosceles
D. equilateral
Answer:
Step-by-step explanation: