Final answer:
The student's mean score in the class is calculated as 80.6
What is mean in statistics ?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means. The mean represents the average or middle value of all the data in a dataset as a single number. One of many measures of central tendency, it is also referred to as the arithmetic average.
The mean is significant because it reveals the location of the dataset's median value. Because it contains data from each observation in a dataset, the mean is also significant.
Explanation:
Let \(x1 = 62, x2 = 83, x3=91, x4=88, x5=76\)
Test scores count for 20% of the grade, final grades for 25%, and homework grades for 15% of the grade. Therefore
\(w1 = w2= w3 = 0.20\\w4 = 0.25\\w5 = 0.15\)
\(= > \frac{12.4 + 16.6 + 18.2 + 22+11.4}{1}\)
Which becomes,
\(= 80.6\)
According to weights proportionate to values in the final grade, the weighted mean yields the mean value. The observed values are multiplied by the weights, which are then divided by the total number of weights.
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The midpoint, M , of segment AB has coordinates (2,−1) . If endpoint A of the segment has coordinates (−3,5) , what are the coordinates of endpoint B ?
The coordinates of endpoint B are?
the coordinates of endpoint B are (7,7)
Answer:
Solution given:
M(x,y)=(2,-1)
A\((x_{1},y_{1})=(-3,5)\)
Let
B\((x_{2},y_{2})=(a,b)\)
now
by using mid point formula
x=\(\frac{x_{1}+x_{2}}{2}\)
$ubstituting value
2*2=-3+a
a=4+3
a=7
again
y=\(\frac{y_{1}+y_{2}}{2}\)
$ubstituting value
-1*2=5-b
b=5+2
b=7
the coordinates of endpoint B are (7,7)
Sharif went shopping for a Picnic. He bought 2 1/4 pounds of hamburger that cost $4.48 per pound, 1 3/4 pounds of tomatoes that cost $0.88 per pound, a head of lettuce that cost $1.24, and a package of hamburger buns that cost $3.56. How much did Sharif spend at the Grocery store?
Answer: $10.16
Step-by-step explanation:
This is quite simple. We do not need much explaining. All we need to do is:
Add the total cost together
$4.48 + $0.88 + $1.24 + $3.56 = $10.16
Therefore, Sharift spent 10.16 dollars at the grocery store.
Answer:
$16.42
Step-by-step explanation:
Find all your costs:
4.48* 2 1/4= 10.08
0.88* 1 3/4= 1.54
1.24
3.56
Then add:
10.08+1.54+1.24+3.56= 16.42
Hope this helps! :)
Priya has 5 pencils, each x inches in length. When she lines up the end of the pencil to the end, they measure 34.5 inches.
Select all the equations that represent this situation.
Select all that apply:
A. 5 + x = 34.5
B. 5x = 34.5
C. 34.5 ÷ 5 = x
D. 34.5 − 5 = x
E. x = (34.5) ⋅ 5
PLEASE HELP ITS URGENT!
Answer:
B. 5x = 34.5 the pencil to the end
How many males represented in the Venn diagram below have brown hair or brown eyes?
A diagram contains a rectangle labeled 100 males. The rectangle contains two overlapping ovals. The left oval is labeled brown hair 34, and the right oval is labeled brown eyes 22. The overlapping region is labeled 18. Both ovals are shaded.
74
22
56
34
Answer:
I got this answer right its 56
Step-by-step explanation:
I got this question right
Interpreting the Venn diagram given, the number of males with brown eyes or brown hair can be deduced to be 74
Number with brown hairs = 34 Number with brown eyes = 22Number with both brown hairs and eyes = 18Number with brown eyes or brown hairs :
Brown eyes + Brown hairs + Both brown hairs and brown eyes
(34 + 22 + 18) = 74
Therefore, 74 males have brown eyes or brown hairs
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What is the area of this tile? in. in? 4 in. I in.
Answer:
1*4 = 4 in^2
Step-by-step explanation:
The area for this shape is calculated by multiplying width and length:
1*4 = 4 in^2
Find the value of x.
Answer:
x = 33
Step-by-step explanation:
x - 12 and 2x + 3 form a right angle , then
x - 12 + 2x + 3 = 90
3x - 9 = 90 ( add 9 to both sides )
3x = 99 ( divide both sides by 3 )
x = 33
A rectangle is placed around a as shown below. The length of the rectangle is 16 ft. Find the area of the shaded region Use the value 3.14 for aand do not round your answer. Be sure to include the correct unit in your answer
The value of 16 ft is the diameter of the semicircle.
That means the radius is 8 ft, and this is also the measure of the smaller side of the rectangle.
First, let's calculate the area of the rectangle:
Now, let's calculate the area of the semicircle:
So the area of the shaded region is:
38.2 is what percent of 25? Round to the nearest hundredth.
Answer:
152,80%
Step-by-step explanation:
Let's make a proportion:
25 - 100%
38,2 - x%
Use the property of the proportion to find x (cross-multiply):
\(x = \frac{38.2 \times 100\%}{25} = 152.8\%\)
What is the measure of the angle supplementary to a 47.5 degree angle?
137.5
52.5
42.5
152.5
Answer:
132.5 degrees. Check to see if there is missing information in the question or any mistakes.
Step-by-step explanation:
Supplementary angles = 180 degrees
180 - 47.5 = 132.5
A scale drawing of a house is 2:9. If the length of the actual kitchen is 18 feet, how long was it in the drawing?
Answer:
4 feet
Step-by-step explanation:
the 9 part of the ratio relates to 18 feet , then
18 ÷ 9 = 2 feet ← value of 1 part of the ratio , then
2 parts = 2 × 2 feet = 4 feet ← length on scale drawing
Solve the system of equations using elimination
Step-by-step explanation:
\(2x + y = 5 \\ - x + y = 2\)
\(y = 2 + x\)
\(2x + x + 2 = 5 \\ 3x + 2 = 5 \\ 3x = 3 \\ x = 1 \\ y = 2 + x \\ y = 3\)
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) an = tan(5npi/3+20n) lim n tends to infinity an = DNE
For the sequence tan(5nπ/3+20n) , it oscillates and does not approach a finite limit or diverge to infinity this implies lim n tends to infinity an = DNE.
To determine whether the sequence converges or diverges, we need to examine the behavior of the function tan(5nπ/3+20n) as n approaches infinity.
First, note that the argument of the tangent function (5nπ/3+20n) will approach infinity as n approaches infinity, since both 5nπ/3 and 20n grow without bound.
When the argument of the tangent function approaches an odd multiple of pi/2 (i.e. π/2, 3π/2, 5π/2, etc.), the function itself diverges to positive or negative infinity (depending on the sign of the coefficient of π/2).
Since 5nπ/3+20n does not approach any odd multiple of π/2 as n approaches infinity, we cannot use this divergence criterion to determine whether the sequence converges or diverges.
Instead, we can try to find a subsequence of an that converges or diverges. However, after some algebraic manipulation, we can show that any two consecutive terms of the sequence have opposite signs, and thus the sequence oscillates infinitely between positive and negative values.
Since the sequence oscillates and does not approach a finite limit or diverge to infinity, we can say that lim n tends to infinity an = DNE.
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NEED HELP ASAP BRAINLIEST
A movie enthusiast is going to select 1 of 4 movies (labeled W, X, Y, and Z) using a random method where all the movies are equally likely to be chosen. Which of the following is the probability distribution for the movie selection?
A}W X Y Z
0.10 0.20 0.30 0.40
B}W X Y Z
0.40 0.40 0.40 0.40
C}W X Y Z
0.25 0.25 0.25 0.25
D}W X Y Z
0.50 0.50 0.50 –0.50
Answer:
c
Step-by-step explanation:
because they all have the same amount of chance to be chose so its .25 which is c
Your teacher wants to use a point system to select the winning pet. She wants each pet to get a certain number of points for each 1st choice vote and a certain number of points for each 2nd choice vote.
Your teacher decides to use these rules for her point system:
Points need to be positive whole numbers
Points for a 1st choice vote have to be greater than or equal to the points for a 2nd choice vote.
Determine point values for the 1st and 2nd choice that would result in the turtle winning. Use words and numbers to explain how this point system results in the turtle winning
In the above case, the possible point system will be:
1st choice vote: 4 points
2nd choice vote: 2 points
What is the point system?In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:
The point got to be positive entire numbersThe point for a 1st choice vote need to be more noteworthy than or rise to to the focuses for a 2nd choice voteLets say:
1st choice vote: 4 points
2nd choice vote: 2 points
Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.
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In the song "Rap God," Eminem can spit
out 100 words in 16 seconds. How many
words can Eminem spit out in 36 seconds?
(Has something to do with Ratio and Proportions)
Answer:
200
Step-by-step explanation:
I need help with finding the missing length . Please and thank you .
Work Shown:
I'm assuming earlier above it mentions the triangles are similar.
If so, then,
LJ/RP = KJ/QP
28/42 = x/33
28*33 = 42*x
x = 28*33/42
x = 22
What is the y-intercept of 10?
Answer:The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Add 10 10 to both sides of the equation. Using the slope-intercept form, the y-intercept is 10 .
Step-by-step explanation:
the square root of 700 times square root of 525 in simplest form
Answer: 350 \(\sqrt{3\)
Step-by-step explanation:
700^0.5 = 10 \(\sqrt{7\\\)
525^0.5 = 5 \(\sqrt{21\)
10\(\sqrt{7\) x 5\(\sqrt{21\) = 50 x 7 x \(\sqrt{3\) = 350\(\sqrt{3\\\)
The girls’ swim team is hosting a fund raiser. They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6. The girls estimate that they will sell less than 200 items. Let c represent candles and f represent flower arrangements. Which system of inequalities represents this situation?
The system of inequalities represents this situation is:
c + f ≤ 200
5c + 6f ≥ 500
What is inequality in math?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Let c represent candles arrangements
Let f represent flower arrangements.
The girls estimate that at most they will sell 200 items.
The equation will be:
c + f ≤ 200
They would like to raise at least $500. They are selling candles for $5 and flower arrangements for $6.
$5 × c + $6 × f ≥ $500
5c + 6f ≥ 500
Therefore, the system of inequalities is given as:
c + f ≤ 200
5c + 6f ≥ 500
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convert the following equation into slope intercept form
3y - 2x = 9
Answer:
the slope intercept form 3y-2x=9 is y=2/3x+3
Please help me with this is urgent!!!
Answer:
(681) 20.115
I think that's the answer
Abi takes a job with a starting salary of $100,000 for the first year. she earns a 3% increase each year. to the nearest dollar, how much does abi make over the first six years? $600,000 $618,000 $646,841 $716,431
Answer:
$646,841
Step-by-step explanation:
Got it right on Edge
Help please! Solve this and show your steps: c = 6.00 + 29.99
Step-by-step explanation:
you don't a type your question. so if it correct i will be happy to help you
Simplify the expression 7(2 + 1) + 3
Answer:
24
Step-by-step explanation:
You have to distribute the parenthesis. 7 x 2 is 14 and 7 x 1 is 7.
Add those and you get 21.
21 + 3 = 24
Answer:
24
Step-by-step explanation:
7 (2 + 3) + 3
7 (3) + 3
21 + 3
24
hope this helps
PLS PLS help!
Type an equation of a parabola that is moved down 2 units, stretched vertically by a factor of 3, and moved left 5 units.
9514 1404 393
Answer:
y = 3x^2 +30x +69
Step-by-step explanation:
Transformations work this way:
g(x) = k·f(x) . . . . vertical stretch by a factor of k
g(x) = f(x -h) +k . . . . translation (right, up) by (h, k)
__
So, the translation down 2 units will make the function be ...
f(x) = x^2 ⇒ f1(x) = f(x) -2 = x^2 -2
The vertical stretch by a factor of 3 will make the function be ...
f1(x) = x^2 -2 ⇒ 3·f1(x) = f2(x) = 3(x^2 -2)
The horizontal translation left 5 units will make the function be ...
f2(x) = 3(x^2 -2) ⇒ f2(x +5) = f3(x) = 3((x +5)^2 -2)
The transformed function equation can be written ...
y = 3((x +5)^2 -2) = 3(x^2 +10x +25 -2)
y = 3x^2 +30x +69
__
The attachment shows the original function and the various transformations. Note that the final function is translated down 6 units from the original. That is because the down translation came before the vertical scaling.
Amanda and Hannah like water sports. Amanda is kayaking down the river from a dock in
Fulton County at 9 kilometers per hour. Hannah is jet skiing up the river from the same dock,
going 42 kilometers per hour. How long will it be before the two of them are 16 kilometers
apart on the river?
If necessary, round your answer to the nearest minute.
hours and
minutes
Answer:
Rounding to the nearest minute, the time it will take for Amanda and Hannah to be 16 kilometers apart on the river is 53 minutes.
Step-by-step explanation:
Let's call the time it takes for Amanda and Hannah to be 16 kilometers apart "t" (in hours). During this time, Amanda will have kayaked down the river a distance of 9t kilometers, and Hannah will have jet-skied up the river a distance of 42t kilometers. So, their total separation will be 9t + 42t = 51t kilometers. Setting this equal to 16, we get:
51t = 16
t = 16 / 51
To convert this to hours and minutes, we can multiply by 60 to convert the fraction to minutes:
t = 16 / 51 * 60 = approximately 53.33 minutes
Use the distributive property to remove the parentheses.
3y5(5-6y4)
Simplify your answer as much as possible.
Answer:
75y - 360y²
Step-by-step explanation:
ANSWER
3y × 5 (5-6y x 4)
Multiply the monomials
15y (5-24y)
Apply the Distributive Property
15y × 5-15y × 24y
Multiply the monomials
75y - 360y²
I hope it is useful to you.
Solve the compound inequality ( please solve in proper formatting shown in box to the right)
To solve the compound inequality we need to solve each inequality, then we have:
\(\begin{gathered} 3x+5>23\text{ or }4x-4\leq0 \\ 3x>23-5\text{ or }4x\leq0+4 \\ 3x>18\text{ or }4x\leq4 \\ x>\frac{18}{3}\text{ or }x\leq\frac{4}{4} \\ x>6\text{ or }x\leq1 \end{gathered}\)Now we need to remember that the word OR means the union of the solution sets for each inequality then the solution is:
\((-\infty,1\rbrack\cup(6,\infty)\)WILL MARK brainiest answer
Answer:
i Think it would be B
Step-by-step explanation:
Please help me!!!!!!
Answer:
It is an obtuse triangle I think because