The mean , median and mode of the data are 35.875, 44 and 48
How to find mean , median and mode?The mean, median and mode can be found as follows:
mean = sum of terms / number of terms
mean = 48 + 12 + 11 + 45 + 48 + 48 + 43 + 32 / 8
mean = 287 / 8 = 35.875
11, 12, 32, 43, 45, 48, 48, 48
The median is the centre number.
Hence,
median = 43 + 45 / 2 = 88 / 2 = 44
The mode is the number that appears most which is 48.
learn more on mean, median and mode here:https://brainly.com/question/9588526
#SPJ1
The Mean, Median and Mode of the given set of data ( 11, 12, 32, 43, 45, 48, 48, 48 ) are 35.875, 44 and 48 respectively.
What is Arithmetic mean?Arithmetic mean is simply the average of a given set numbers. It is determined by dividing the sum of a given set number by their number of appearance.
Mean = Sum total of the number ÷ n
Where n is number of numbers
Given the sets;
48, 12, 11, 45, 48, 48, 43, 32n = 8First, we arrange in ascending order.
11, 12, 32, 43, 45, 48, 48, 48
Mode
Mode is the number with the highest appearance
Number with highest appearance or frequency is 48 ( 3 appearance )
Mode = 48
Median
Middle numbers fall between 43 and 45
Median = ( 43 + 48 ) / 2
Median = 88 / 2
Median = 44
Mean
We add the numbers
11 + 12 + 32 + 43 + 45 + 48 + 48 + 48 = 287
Mean = Sum total of the number ÷ n
Mean = 287 / 8
Mean = 35.875
Therefore, the Mean, Median and Mode of the given set of data ( 11, 12, 32, 43, 45, 48, 48, 48 ) are 35.875, 44 and 48 respectively.
Learn more about arithmetic mean here: brainly.com/question/13000783
#SPJ1
A survey asks teachers and students whether they would like the new school mascot to be a Viking or a Patriot. This table shows the results. Vikings Patriots Total Students 80 20 100 23 Teachers 5 20 25 Total 85 40 125 A person is randomly selected from those surveyed. Are being a student and preferring "Viking" independent events? Why or why not? = A. No, they are not independent because P(student) = 0.80 and P(student|Viking) =0.94. B. Yes, they are independent because P(student) = 0.80 and P(student|Viking) = 0.94 C. No, they are not independent because P(student) = 0.80 and A(student|Viking) = 0.68. KOTID D. Yes, they are independent because P(student) = 0.80 and P(student|Viking) = 0.68.
Using conditional probability, it is found that the correct option regarding whether the events are independent is given by:
A. No, they are not independent because P(student) = 0.80 and P(student|Viking) =0.94.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.An event B is classified as independent if:
P(B|A) = P(B).
In this problem, 100 out of the 125 people sampled are students, hence the probability is given by:
P(student) = 100/125 = 0.8.
Out of the people that prefer to be a Viking, 80 out of 85 people are students, hence:
P(student|Viking) = 80/85= 0.94.
The probabilities are different, hence the events are not independent, and option A is correct.
More can be learned about conditional probability at https://brainly.com/question/14398287
#SPJ1
Help me solve pls don’t know the equation
It took Vaughn 3 hours to drive to his sisters house. He took the same route on the way back home, but this time the trip took 2.5 hours. If Vaughn drove 10 mph faster on his return trip, how fast did he drive on his way to his sisters house?
The speed to his sister house is 50mph.
What is Speed?The speed of an object is the magnitude of the rate of change of its position with time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.
Here, let the speed of his sisters house be x mph.
then, 3x = 2.5(x+10)
3x = 2.5x + 25
3x - 2.5x = 25
0.5x = 25
x = 25 / 0.5
x = 50
Thus, The speed to his sister house is 50mph.
Learn more about Speed from:
https://brainly.com/question/7359669
#SPJ1
The graph below represents the number of pieces of paper that are found in boxes. What is the constant of proportionality?
Answer:
12.5
Step-by-step explanation:
It is equal to the slope of the line = 50/4 = 12.5
simplify the following radical expression
Answer:
[tex]2\sqrt{6} -13\sqrt{3} +4\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{24} -5\sqrt{12} +4\sqrt{2} -3\sqrt{3}[/tex]
[tex]=\sqrt{4\times 6} -5\sqrt{4\times 3} +4\sqrt{2} -3\sqrt{3}[/tex]
[tex]=\sqrt{4} \times \sqrt{6} -5\times\sqrt{4} \times \sqrt{3} +4\sqrt{2} -3\sqrt{3}[/tex]
[tex]=2\sqrt{6} -5\times2\sqrt{3} +4\sqrt{2} -3\sqrt{3}[/tex]
[tex]=2\sqrt{6} -10\sqrt{3} +4\sqrt{2} -3\sqrt{3}[/tex]
[tex]=2\sqrt{6} -13\sqrt{3} +4\sqrt{2}[/tex]
Answer:
[tex] \boxed{ \tt 2 \sqrt{6} - 13 \sqrt{3 } + 4 \sqrt{2} }[/tex]
or
[tex] \boxed{ \tt \approx - 12.1}[/tex]
Step-by-step explanation:
Simplify:
[tex] = \tt \sqrt{ {2}^{2} \times 6} −5 \sqrt{12} +4√2−3√3[/tex]
[tex] = \tt \: 2 \sqrt{6} - 5 \sqrt{12} + 4 \sqrt{2 } - 3 \sqrt{3} [/tex]
[tex] = \tt2 \sqrt{6} - \sqrt{ {2}^{2} \times 3} + 4 \sqrt{2} - 3 \sqrt{3} [/tex]
[tex] = \tt \: 2√6−5(2√3)+4√2−3√3[/tex]
[tex] \tt = 2√6−10√3+4√2−3√3[/tex]
[tex] \tt = 2 \sqrt{6} - 13 \sqrt{3 } + 4 \sqrt{2} [/tex]
[tex] \tt \approx \: - 12.1[/tex]
[tex] \rule{225pt}{2pt}[/tex]
Please help me yall
A mathematics teacher wanted to see the correlation between test scores and
homework. The homework grade (x) and test grade (y) are given in the accompanying
table. Write the linear regression equation that represents this set of data, rounding
all coefficients to the nearest tenth. Using this equation, find the projected test grade,
to the nearest integer, for a student with a homework grade of 45.
Homework Grade (x) Test Grade (y)
78
66
89
76
54
42
86
90
74
68
73
73
86
84
63
54
64
54
Answers in bold:
Regression equation: y = 1.2x - 21.3Final Answer: 33=======================================================
Explanation:
I'm not sure how your calculator works, but I'm assuming you can copy/paste the given numbers into the calculator somehow to have it determine the regression equation.
The tool I used is GeoGebra and the regression equation it produced was
y = 1.2x - 21.3
Each decimal value is approximate and rounded to the nearest tenth.
---------------------------
Once we determine the regression line, plug the homework grade x = 45 to find the associated test grade (y). This is a predicted test grade.
y = 1.2x - 21.3
y = 1.2*45 - 21.3
y = 32.7
y = 33
If a student got a 45 on a homework, then we predict their test grade should be around 33.
Trapezoid area calculations
#1
1/2(Sum of parallel sides)Height=AreaArea
1/2(6+14)(5.5)1/2(20)(5.5)10(5.5)55in²#2
Apply Pythagorean theorem
B²=14²-12²=196-144=52B\approx 7Area
1/2(52+8)(12)6(60)360yd²#3
Area
1/2(Diagonals)1/2(6+6)(9+3)1/2(12)12)6(12)72ft²Answer:
Formulas Used
[tex]\textsf{Area of a Trapezoid}=\dfrac{1}{2}(a+b)h[/tex]
where:
a and b are the bases (parallel sides)h is the height (perpendicular to the parallel sides)[tex]\textsf{Pythagoras' Theorem}: \quad a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right trianglec is the hypotenuse (longest side, opposite the right angle)[tex]\textsf{Area of a Kite}=\dfrac{1}{2}pq[/tex]
where:
p and q are the diagonals-----------------------------------------------------------------------------------------
Question g (Trapezoid)
[tex]\textsf{Formula}: \quad A=\dfrac{1}{2}(a+b)h[/tex]
[tex]\textsf{Substitution}: \quad A=\dfrac{1}{2}(6+14)5.5[/tex]
[tex]\textsf{Answer}: \quad A=55\:\: \sf in^2[/tex]
Question h (Trapezoid)
[tex]\textsf{Formula}: \quad A=\dfrac{1}{2}(a+b)h[/tex]
Find the missing side length of the right triangle using Pythagoras' Theorem:
[tex]\implies a=\sqrt{14^2-12^2}=\sqrt{52}[/tex]
Therefore, top edge of trapezoid = √52 + 8
[tex]\textsf{Substitution}: \quad A=\dfrac{1}{2}(\sqrt{52}+8+8)12[/tex]
[tex]\textsf{Answer}: \quad A=96+12\sqrt{13}=139.3\:\: \sf yd^2\:(nearest\:tenth)[/tex]
Question i (Kite)
[tex]\textsf{Formula}: \quad A=\dfrac{1}{2}pq[/tex]
[tex]\textsf{Substitution}: \quad A=\dfrac{1}{2}(6+6)(3+9)[/tex]
[tex]\textsf{Answer}: \quad A=72\:\: \sf ft^2[/tex]
Mrs hernandez is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $7 for each child ticket. Mrs hernandez does not want to spend more than $40. Which inequality can be used to find c, the number of child tickets Mrs hernandez can purchase
Answer:
The inequality is
10+7x\leq 4010+7x≤40
Step-by-step explanation:
Let
x-----> the number of child tickets
we know that
10+7x\leq 4010+7x≤40 -----> inequality that represent the situation
Solve for x
7x\leq 40-107x≤40−10
7x\leq 307x≤30
x\leq 4.3x≤4.3
The maximum number of child tickets is 4
Help me with this problem
Answer:
Looking at the given points we know that it is going to be a triangle because it only have 3 points. Therefore the figure is a triangle and the area formula would be [tex]A=\frac{1}{2}*b*h[/tex].
You can look at the attached graph and what we see is that our height of the triangle is from [tex]y=-3[/tex] to [tex]y=4[/tex] which means that our height is 7 units high. We can also see that our base starts at [tex]x=-4[/tex] and ends at [tex]x=4[/tex] making us have a base of 8 units.
We then plug in the values and solve
[tex]A = \frac{1}{2}*7\ units * 8\ units[/tex]
[tex]A = \frac{1}{2}*56\ units^2[/tex]
[tex]A = 28\ units^2[/tex]
Therefore, the area of our triangle is [tex]28\ units^2[/tex]
Hope this helps! Let me know if you have any questions
true or false each triangular face has the same base and height
What is the measure of YVZ in degrees
Answer:
the answer is 56
Step-by-step explanation:
2x+3x+5=90
5x=90-5
5x=85
x=85/5
x=17
YVZ= 3(17)+5
YVZ=51+5
YVZ=56
4x - 8y = 16 solve for y
Answer:
y=1/2x-2
Step-by-step explanation:
4x - 8y = 16
-8y = 16-4x
y=-2+ 1/2x
y=1/2x-2
mark brainliest pls
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
1 and 1/5 is the answer to this problem
Convert the rectangular equation to polar form. X2 y2 = 64
The polar form of the equation represents all the points with a distance of 8 from the origin, which is a circumference with a radius of 8, centered on the origin.
What is the polar form of the equation?The polar form is represented with the aid of polar coordinates of real and imaginary numbers in the coordinate system.
The horizontal and the vertical axis of the polar form denote the real axis and the imaginary axis, respectively.
The given equation to polar form is;
[tex]\rm x^2+y^2=64[/tex]
Using the formulae that link Cartesian to Polar coordinates.
x = rcosθ and y = rsinθ
Substitute these values into the equation.
[tex]\rm x^2+y^2=64\\\\(rcos\theta)^2+(rsin\theta)^2=64\\\\r^2cos^2\theta +r^2sin^2\theta =64\\\\r^2(cos\theta^2+sin\theta^2)=64\\\\Where ; \ sin^2\theta + cos^2\theta=1\\\\r^2(1)=64\\\\ r^2=8^2\\\\r=8[/tex]
Hence, the polar form of the equation represents all the points with a distance of 8 from the origin, which is a circumference with a radius of 8, centered on the origin.
Learn more about polar form here;
https://brainly.com/question/13732976
#SPJ4
what does the solution to a system of equations mean?
Answer:
The solution to a system of equations means the point must work. In both equations in the system, if you are asked if a point is a solution to an equation, you replace the variables with the given values and see if the two sides of the equation is equal "so is a solution"
A number cube is rolled. Identify the probability of getting 1 or 6 as a fraction, as a decimal to the nearest hundredth, and as a percent to the nearest whole percent.
1/3, 0.33, 30%
1/3, 0.33, 33%
2/3, 0.33, 30%
2/3, 0.67, 67%
Answer: The second option, 1/3, 0.33, 33%
Step-by-step explanation:
We will put the number of wanted outcomes over the number of total outcomes. 1 and 6 is two wanted outcomes.
2 / 6 = 1/3
Now, 1/3 is equal to 0.33. A decimal multiplied by 100 is a percent, so it is also equal to 33%. Your answer is:
1/3, 0.33, 33%
Find the inverse function answer to the question in the image attached.
The inverse function is:
[tex]g(x) = 27*x^3 - 4[/tex]
And g(2) = 212.
How to get the inverse function?
We need to find g(x) such that:
g(h(x)) = x.
We know that:
[tex]h(x) = \frac{\sqrt[3]{x + 4} }{3}[/tex]
Then our function must be a cubic, multiplied by 3^3 = 27, and then subtracts 4, it is:
[tex]g(x) = 27*x^3 - 4[/tex]
As you can see, if you evaluate in h(x), the outcome is x.
Now we can evaluate this in x = 2, we get:
[tex]g(2) = 27*2^3 - 4 = 212[/tex]
The correct option is C.
If you want to learn more about inverses.
https://brainly.com/question/14391067
#SPJ1
Explain the difference between a unit rate and a percentage
Answer:
Ratio is the proportion between two numbers.
Percent is the ratio times 100.
Rate is the change of a number per unit time.
Step-by-step explanation:
1.A rate refers to the frequency by which a certain event happens while a ratio refers to the relationship between the size, number, or degree of two or more things.
2.A rate is a comparison between two measurements of the same units while a ratio is the proportion of one thing to another.
3.A rate refers to the fixed quantity of two things while a ratio refers to the relationship between various things.
4.A ratio indicates the difference between things while a rate indicates the changes in their measurements or units.
5.A ratio is indicated by the quotient of one quantity divided by the other while a rate is indicated by the comparison between two things.
Hope it helped ! Have a nice day
Follow the steps to simplify this expression.
2x(2 + 1) – 3(x + 3)
1. Distribute 2x and –3 through the parentheses:
2. Find each product:
3. Combine like terms.
2x(2) + 2x(1) −3(x) − 3(3)
4x + 2x − 3x − 9
What is the simplified expression?
Answer:
3x - 9
Step-by-step explanation:
We already have the expression 4x + 2x − 3x − 9. Now, we just have to add like-terms. This will give us 3x - 9.
Step-by-step explanation:
2x(2)+2x(1)-3(x)-3(3)
4x+2x- 3x-9
since they are of same like terms we add them
=3x - 9
there are 672 eggs in 6 identical boxes. How many eggs are in each box.
Answer:
112
Step-by-step explanation:
672/6 = 112
Answer:
112
Step-by-step explanation:
672 divided by 6 is 112. There are 112 eggs in each box.
Can someone help me with this question please
Answer:
∠A≅∠Y AB≅YZ
∠B≅∠Z AC≅YX
∠C≅∠X BC≅ZX
ΔABC≅ΔYZX
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle
im doing an i ready test and i am very lost and confuse .
Answer: Ok
Step-by-step explanation:
Step-by-step explanation:
what are y'all doing so sad I can relate
7,614 is closer to ___ than it is to ____
Answer:
closer to 8000 than it is to 7000
Answer:
Hope this helps :)
7,614 is closer to 8,000 than it is to 7,000
This is because if the number has the hundreds place with 500 or more than it would be round up. If it's less than 500 than round down.
Also 7,614 rounded to the nearest thousand is 8,000 because the 6 in the hundreds place is more than 5 so we round up in the thousands place. The final answer would be 8,000.
In numbering pages of a book, a printer used 3289 digits. How many pages were in the book, assuming the first page of the book was number 1? Justify your answer. (b) Find the number of digits the printer will need for a book with n pages, for any positive integer n. Write this function of n as simple a form you can.
The number of the pages in the book if the first page will be numbered as 1 will be 1099 pages. And if the number of the pages is n then the function is shown below.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
In numbering pages of a book, a printer used 3289 digits.
Then the number of the pages in the book if the first page will be numbered as 1.
One digit number = 1 - 9 = 9 digits
Two digit number = 10 - 99 = 2 x 90 = 180 digits
Three digit number = 100 - 999 = 3 x 900 = 2700 digits
Then the total number of the digit is used will be
→ 9 + 180 + 2700
→ 2889
The number of the remaining digits will be
→ 3289 - 2889
→ 400
Then the four-digit number will be
→ 400/4
→ 100
Then the total number of the pages will be
Total pages = 9 + 90 + 900 + 100
Total pages = 1099
If n pages are there, then the number of the digits are required will be
[tex]\left\{\begin{matrix}n, & 1\leq n\leq 9 \\9+(n-9)2, & 10\leq n\leq 99 \\189+(n-9)3, & 100\leq n\leq 999 \\. & . \\. & . \\\end{matrix}\right.[/tex]
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
A walker has travelled 9 km along a trail. If he has completed 80% of the trail, how much further does he still have to go
Answer:
2.25km
Step-by-step explanation:
Calculate the total distance:
9km/ 0.80 x 100% = 11.25km
The walker has travelled 9km, so
11.25km - 9km = 2.25km left
In a class test of 15 questions, (+4) marks are given for every correct answer, (– 2) marks are
given for every incorrect answer and 0 marks are given for questions that are not attempted. Punit
scored (– 2) marks. If he answered 3 questions correctly, how many did he get wrong? How many
questions did he not attempt?
If he answered 3 questions correctly, then the number of questions is got wrong is 7 and the number of questions that he did not attempt is 5.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
In a class test of 15 questions, (+4) marks are given for every correct answer, (– 2) marks are given for every incorrect answer, and 0 marks are given for questions that are not attempted. Punit scored (– 2) marks.
If he answered 3 questions correctly, then the number of the question are got wrong and the number of the question that he did not attempt.
Let x be the correct question and y be the incorrect question, z be the number of questions that he did not attempt, and A be the number of the total score. Then we have
4x – 2z = A
x + y + z = 15
If A = -2 and x = 3, then we have
4 × 3 – 2z = -2
12 + 2 = 2z
z = 7
Then the value of y will be
3 + y + 7 = 15
y = 5
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1
pls help me sovle i cant heck this app and answer the test so i heck brainly to give me answer im seruos pls if i fail i die i have 13mins pls hurry
Answer:
3/16
Step-by-step explanation:
you do length x width x height, and get 3/16
i need help on question 8 ....
Answer:
8a - 6b
You have to substitute in you other numbers:
a = 4 and b = 3
Your new equation would be:
8(4) - 6(3)
Now solve:
8 x 4 = 32
6 x 3 = 18
New problem:
32 - 18
= 14
So your answer is 14.
Step-by-step explanation:
Hope this helps!
From your neighborhood softie :)
I WILL MARK BRAINLIEST
Answer:D.6
Step-by-step explanation:
just divide
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
your answer is 9
Step-by-step explanation:
3+3/4+5+1/4
3+5=8
3/4+1/4=4/4
4/4=1/1
1/1=1
8+1=9
9 miles