The mean, median and range of the given data are respectively; 49, 48 and 3.
How to calculate mean, median and range?Formula for mean is;
Mean = Total sum/sample size
Total sum = 48 + 51 + 48 + 48 + 50
Total sum = 245
Sample size = 5
Mean = 245/5
Mean = 49
To get the median, we arrange in ascending order and pick the mid term.
48, 48, 48, 50, 51
Median is mid term which is 48.
Range is difference between highest and lowest term.
Range = 51 - 48
Range = 3
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Brainliest if correct
Answer:
1 1/7
Step-by-step
E is on the 1 1/7 point on the number line
Answer:
[tex]1\frac{3}{20}[/tex]
Step-by-step explanation: Each space equals =.15. Count by the spaces not the lines. 15/100 simplifies to 3/20.
If x = 4cosa and y = 5tana, find (x^2/16) - (y^2/25)
[tex]x = 4 \cos(a) [/tex]
[tex] \frac{x}{4} = \cos(a) \\ [/tex]
[tex]( { \frac{x}{4} })^{2} = ({ \cos(a) })^{2} \\ [/tex]
[tex] \frac{ {x}^{2} }{16} = {cos}^{2} (a) \\ [/tex]
_____________________________________________
[tex]y = 5 \tan(a) [/tex]
[tex] \frac{y}{5} = \tan(a) \\ [/tex]
[tex]( { \frac{y}{5} })^{2} = ( { \tan(a) })^{2} \\ [/tex]
[tex] \frac{ {y}^{2} }{25} = {tan}^{2} (a) \\ [/tex]
_____________________________________________
Thus ;
[tex] \frac{ {x}^{2} }{16} - \frac{ {y}^{2} }{25} = \\ [/tex]
[tex] {cos}^{2} (a) - {tan}^{2} (a)[/tex]
Which congruence theorem can be used to prove △WXS ≅ △YZS?
Triangles W X S and Y Z S are connected at point S. Angles W X S and S Z Y are right angles. Sides X S and S Z are congruent.
SSS
ASA
SAS
HL
Answer:
SSS
Step-by-step explanation:
XS=SZ
WS=SY
WX=ZY
I hope this is useful.
The congruence theorem that can be used to prove △WXS ≅ △YZS is SSS. ; option A.
Which are congruence theorems?Congruence theorems are theorems which are used to prove congruency in triangles.
The congruence theorems include:
SSSASASASRHSIn the given triangle;
XS = SZ WS = SY WX = ZYTherefore, the congruence theorem that can be used to prove △WXS ≅ △YZS is SSS.
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I DONT UNDERSTAND THE EQUATION CAN SOMEBODY HELP ME PLEASE
Answer:
I dunno how do sorry mann
Help would be appreciated:)
Answer:
19%
Step-by-step explanation:
Bottles manufactured in march = 4100×107% = 4387 bottles
bottles manufactured in April= 4387+500 = 4887 bottles
difference in bottles from Feb to April= 4887-4100 =787 bottles
percentage increase from Feb to April= (787/4100)×100 = 19.2%
rounded off= 19%
A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensions of the pen that will maximize the area (100 PTS + BRAINLIEST)
Answer:
[tex]W_{max}=320m\\ L_{max}=160m[/tex]
Step-by-step explanation:
Since we know we only have 640 feet of fence available, we know that L + W + L = 640, [tex]\implies [/tex] 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L
Remember, the area of a rectangle is equal to the product of its width and length, therefore,
[tex]A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2[/tex]
Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.
recall,
[tex]x_{max}=-b/2a[/tex][tex]f(x)_{max}=f(x_{max})[/tex]Since our function is A(L)=640L-2L², we get
a=-2b=640plug in the value of a and b into the first formula:
[tex]L_{max}=-(640)/2(-2)\implies 160 [/tex]
[tex]A(L)_{max}=640(160)-2(160)^2\implies 51200 [/tex]
hence,the dimensions of the pen that will maximize the area are L=160m and W=51200/160=320m
and we're done!
Answer:
width (x) = 160 m
length (y) = 320 m
(refer to the attached diagram)
Step-by-step explanation:
**see attached diagram**
Let x = width of the pig pen
Let y = length of the pig pen
(where length > width)
Given:
Fence = 640 m4th side is the barn⇒ 2x + y = 640 m
⇒ y = 640 - 2x
Area of the pig pen = width × length
⇒ f(x) = xy
Substituting y for y = 640 - 2x:
⇒ f(x) = x(640 - 2x)
= 640x - 2x²
Now we have a function for the area of the pig pen, to find the value of x that will maximize the area, differentiate the function:
⇒ f'(x) = 640 - 4x
Set it to zero and solve for x:
⇒ f'(x) = 0
⇒ 640 - 4x = 0
⇒ 640 = 4x
⇒ x = 160
Substitute the found value of x into y = 640 - 2x to find the length:
⇒ y = 640 - 2(160) = 320
Therefore, the dimensions of the pen that will maximize the area are:
width (x) = 160 mlength (y) = 320 mUse the volume formula to find the volume of the prism.
help!!
20 points!!
Answer:
B. 9 cubic units
Length×width×height
10 points need this answer ASAP
Answer:
C
Step-by-step explanation:
Y=2(-1)+3
y=-2+3
y=1
true
Help me I don’t know how to do this
The area of a circle with radius r is given by the formula A = (pi)r^2. If a circle has area 4(pi) square inches, what is the radius?
Answer:
[tex]\displaystyle 2\:in.[/tex]
Step-by-step explanation:
[tex]\displaystyle {\pi}r^2 = A \\ \\ \frac{{\pi}r^2}{\pi} = \frac{4\pi}{\pi} \hookrightarrow \sqrt{4} = \sqrt{r^2} \\ \\ \boxed{2 = r}[/tex]
I am joyous to assist you at any time.
The distance between two towns is 120 kilometers. There are approximately 8 kilometers in 5 miles. How many miles are between the two towns?
Answer:
15 miles
Step-by-step explanation:
You know that there are 8 kilometres in 5 miles, so:
120/8=15
i really need helps with this i dont understannd it
Answer:
A < C < B = 0.2 < 0.222 < 0.25
Step-by-step explanation:
the best way to do these least to greatest questions is to get them all in the same units so you can compare.
A = [tex]\sqrt{\frac{1}{25} }[/tex]which is [tex]\sqrt{0.04}[/tex] = 0.2
B= 1/4 = 0.25
c=0.22222222.....
now that they are in the same units we see A is the smallest, then C, and then B
how a high prevalence of human rights violations can negatively impact a community?list 4 factors
The high prevalence of human rights violations can negatively impact a community in terms of:
Behavior and government structureArmed conflictPsychological factorsEconomic factorsWhat are human rights?These are the inherent rights of all human beings, such as the right to life, work and security, for example, without distinction of class, gender or any other characteristic. They exist to protect liberty and promote equity among individuals.
Therefore, a community with human rights violations will be harmed in relation to its social and economic structure.
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Solve the equation for x.
-2x = 14
Enter the number that belongs in the green box.
x = [?]
What is the perimeter of a rectangle 5cm by 8cm?
Answer:26
Step-by-step explanation:
Example
Solve the quadratic equation
x² - 6x +13=0
[tex]x^2-6x+13=0\\\\\implies x^2-6x =-13\\\\\implies x^2 -2\cdot 3 \cdot x+3^2 -3^2 =-13\\\\\implies (x-3)^2 -9 = -13\\\\\implies (x-3)^2 = -13 +9 = -4\\\\ \implies x-3 =\pm\sqrt{-4} \\\\\implies x -3 = \pm2i\\\\\implies x = \pm 2i +3\\\\\text{Hence,}~ x = 3 + 2i, ~~ x = 3-2i[/tex]
Fundamental theorem of calculus
[tex]g(s)=\int\limits^s_6 {(t-t^4)^6} \, dt[/tex]
Answer:
[tex]\displaystyle g'(s) = (s-s^4)^6[/tex]
Step-by-step explanation:
The Fundamental Theorem of Calculus states that:
[tex]\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt \right] = f(x)[/tex]
Where a is some constant.
We can let:
[tex]\displaystyle g(t) = (t-t^4)^6[/tex]
By substitution:
[tex]\displaystyle g(s) = \int_6^s g(t)\, dt[/tex]
Taking the derivative of both sides results in:
[tex]\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right][/tex]
Hence, by the Fundamental Theorem:
[tex]\displaystyle \begin{aligned} g'(s) & = g(s) \\ \\ & = (s-s^4)^6\end{aligned}[/tex]
20 points please help me answer this
Answer:
171 Square Feet
Step-by-step explanation:
We first cut the figure up into smaller parts...
we then use the formula (L x W = A) to find the area
L = Lenth
W = Width
the first rectangle (1)...
15 x 5 = 75
the second figure (2)...
8 x 9 = 72
the third figure (3)...
6 x 4 = 24
now we have to add up all the values to find the area of the entire figure...
75 + 72 + 24 = 171
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
4. What is the difference between 34.062 And 2.87
M. 31.192
P. 31.292
R. 32.192
S. 33.775
Answer:
m. 31.192
explanation 34.062-2.87
The mZAOB is 40 degrees. The mZDOF is 120 degrees.
FIND THE FOLLOWING:
m
m
A restaurant did a survey among 100 customers to find their food preferences. The customers were asked about their preferences for pasta or rice. Out of the total 30 people who liked pasta, 10 also liked rice. There were 40 people who liked rice.
Part A: Summarize the data by writing the values that the letters A to I in the table below represent. (5 points)
Like pasta Do not like pasta Total
Like rice A B C
Do not like rice D E F
Total G H I
Part B: What percentage of the survey respondents did not like either pasta or rice? (3 points)
Part C: Do the survey results reveal a greater dislike for rice or pasta? Justify your answer. (2 points)
Answer:Part A: Like pasta Do not like pasta TotalLike rice 10 30 40Do not like rice 20 40 60Total 30 70 100Part B: When we look at the table above, we can see that 40 people do not like rice or pasta, so 40 out of 100 = 40%, so 40% of the people surveyed don't like either. Part C: People surveyed have a greater dislike for pasta than rice. Reason: 60 people do not like rice and 70 people do not like pasta, and 70>60 so people dislike pasta more.
Step-by-step explanation:https://brainly.com/question/2141081
a. Which cost category varies the least among the different types of colleges? Can you explain why this category varies so little?
b. Ignoring the "other expenses" category, the general trend is for all categories to cost more as you look down the chart from two-year public colleges to four-year private colleges. However, one category is an exception to this trend. Which category? Can you explain why?
The question indicated above speaks to expense analysis for anonymous colleges. See the details of the analyses below.
From the pictorial representation, which cost category varies the least among the different types of colleges?The cost category that varies the least amongst the various types of colleges is Books and supplies. Notice that at no point did it go below 1,097, nor above, 1,350.
The categories that do not cost more as one goes down the chart (apart from other expenses) are:
Books and supplies and Transportation.Books and supplies went from: $1,350 to $1,107, to 1,107, and then to 1097. Hence decreasing gradually over time.
Transportation also decreased over time starting out from $2,152, to $2,099, to 2,099 and then flatting out at $1,571.
It may be explained that the cost of books is on the decline as more and more people prefer online reading while the cost of transportation is declining as more and more students use their cars or vehicles to the college, hence driving down the cost of transportation.
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- At a school carnival, 8 out of 32 tickets sold were early-admission tickets. What
percentage of the tickets were early-admission tickets?
Answer:
25 Percent of tickets were early admission.
Step-by-step explanation:
We apply the percentage formula to solve this problem.
Total Ticket Amount * Percentage = Early tickets
We plug in our values
32 * x/100 = 8
Simplify
X=25
Answer:
25%
Step-by-step explanation:
8 out of 32 can be simplified to 1 early admission for every 4 tt (total tickets). 1/4 can be changed into a decimal which is .25, and .25*100 is 25%
A business owner wants a smaller version of the logo (picture attached) to be on the door of her business. The door is 7 feet tall and 3 feet wide There should be 6 inches of empty space to the left side of the logo and 6 inches of empty space on the right side of the logo.
Based off the logo (picture attached), what should be the total width, in feet, of the logo on the door?
Based off the logo (picture attached), what should be the total height, in feet, of the logo on the door?
Answer:
Clair, since there isn't an attached picture, we don't know some info
Step-by-step explanation:
but here is how you can figure this out....
they tell use to give 6 inches on each side of the door, so the total width of the logo can be 2 feet wide. Because the door is 3 feet wide. Now use that to find the height. find the height to width ratio of the logo, so if the logo is 4 feet wide and 6 feet tall it's 6/4 or 1.5 ratio, use that and multiply by the 2 that we know the width can be on the door. so 2*1.5 = 3. the height of the logo would be 3 feet tall and 2 feet wide on the door. see?
just find the ratio of the logo, and multiply that by 2 :) to find the height on the door, got it?
Help picture below problem 19
Answer:
I think the amswer is C not 100% shere
Step-by-step explanation:
7. If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is?
(0.2)x = 2.
Taking log on both sides
log (0.2)x = log 2.
x log (0.2) = 0.3010, [since log 2 = 0.3010].
x log (2/10) = 0.3010.
x [log 2 - log 10] = 0.3010.
x [log 2 - 1] = 0.3010,[since log 10=1].
x[-0.699] = 0.3010.
x= 0.3010/-0.699.
x= = -0.4306….
x= = -0.4.
(0.2)x = 2.
Taking log on both sides
log (0.2)x = log 2.
x log (0.2) = 0.3010, [since log 2 = 0.3010].
x log (2/10) = 0.3010.
x [log 2 - log 10] = 0.3010.
x [log 2 - 1] = 0.3010,[since log 10=1].
x[-0.699] = 0.3010.
x = 0.3010/-0.699
x = -0.4306
x= -0.4 (nearest tenth)
Please help! Determine the function which corresponds to the given graph.
By identifying that it is a translation of the natural logarithm, we see that the function is:
g(x) = ln(x - 5).
How to determine the function?
We can see that the function has a logarithmic behavior. We know that the function:
f(x) = ln(x)
Has an asymptote at x = 0, and is equal to 0 for x = 1.
For our function, we can see that the asymptote is at x = 5 and the zero is at x = 6. So the graphed function seems to be the natural logarithm translated 5 units to the right.
Then the function graphed is:
g(x) = f(x - 5) = ln(x - 5)
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The cost of two hats and three bandanas is $114.25. The cost of five hats and two bandanas is $166.00. What is the cost of one hat?
(A) 18.75
(B) $21.75
(C) $22.50
(D) $24.50
(E) $51.75
Answer:
Step-by-step explanation:
Please help asap!
Which of the graphs has the greatest rate of change?
A) Graph A
B) Graph B
C) Graph C
D) Graph D
Answer:
B) Graph B
Step-by-step explanation:
Which of the numbers listed below are solutions to the equation? Check all
that apply
x2 = 0
O A. -
B. 1
C. -2
IN D. O
E.2
F. None of these
Answer:
x=0
Step-by-step explanation:
x^2 =0
The only solution for x is
x=0