Answer:
The median number of words in Luis's essays is 205.5.
Step-by-step explanation:
To find the median number of words in Luis's essay, first arrange the values in the data set in ascending order:
177, 178, 189, 198, 198, 213, 221, 236, 245, 253.
Because the number of values in the data set is an even number (10), the median is the mean of the two middle values, the fifth and sixth values, in the data set. The fifth and sixth values are 198 and 213, respectively. So,
median .
The median number of words in Luis's essays is 205.5.
The median number of words in Luis's essays is 231.
What is the median of data?The median is defined as the value range. To get it, arrange the numbers in ascending order from smallest to largest, then hide one number on either end until you reach the center.
The number of words in Luis's essays arranged in order from smallest to largest is:
177, 178, 189, 198, 198, 210, 213, 221, 228, 231, 231, 236, 236, 244, 245, 245, 245, 253, 259, 286
Since there are 20 numbers in the list, the median will be the average of the 10th and 11th numbers:
Median = [(n/2)th term + ((n/2) + 1)th term]/2
Median = [(20/2)th term + ((20/2) + 1)th term]/2
Median = [10th term + 11th term]/2
Median = [231 + 231]/2
Median = 462/2
Median = 231
Therefore, the median number of words in Luis's essays is 231.
Learn more about the median of data here:
brainly.com/question/28060453
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The complete question is as follows:
Luis and Darcy are required to write essays for their English class. The table shows the number of words t wrote for 10 randomly chosen essays. Complete the steps below to compare the number of words in Luis’s and Darcy's essays using the mean and the median. Luis Darcy 178 231 213 210 198 245 245 259 236 286 198 245 221 231 253 244 189 236 177 228. What is the median number of words in Luis’s essays?
can someone please help me?
Answer:
-1Option C is the correct option.
Step-by-step explanation:
Let the points be A and B
A ( -2 , 7 ) -----> ( x1 , y1 )
B ( 2 , 3 )-------> ( x2 , y2)
Now, let's find the slope:
Slope = [tex] \frac{y2 - y1}{x2 - x1} [/tex]
plug the values
[tex] = \frac{3 - 7}{2 - ( - 2)} [/tex]
Calculate the difference
[tex] = \frac{ - 4}{2 - (2)} [/tex]
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression
[tex] = \frac{ - 4}{2 + 2} [/tex]
Add the numbers
[tex] = \frac{ - 4}{4} [/tex]
Any expression divided by its opposite equals -1
[tex] = - 1[/tex]
Hope this helps..
Best regards!!
HURRY ILL GIVE YOU BRAINLY ;DD
Hi there!! (✿◕‿◕)
⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐
A.) 4/100
B.) 5,250,000
C.) C. 6/100
Hope this helped!! ٩(◕‿◕。)۶
Answer:
A) 4/100
B) 5,250,000
C) C) 6/100
Step-by-step explanation:
A) the 4 is in the hundredths place, so it’s worth 4/100.
B) 5,250,000. (250,00 is a quarter million)
C) the 6 is in the hundredths place, so it’s worth 6/100.
What is the answer to... 5m+8n-2(3m-n)? Show step by step
Answer:
The answer is
10n - mStep-by-step explanation:
5m+8n-2(3m-n)
Expand the terms in the bracket
That's
5m + 8n - 6m + 2n
Group like terms
We have
8n + 2n + 5m - 6m
Simplify
The final answer is
10n - m
Hope this helps you
Please Help ME!! I BEG YALL! Ill give BrAINlIeSt! :) Given the figure below, find the values of x and z.
Answer: [tex]\left \{ {{x=10} \atop {z=63}} \right.[/tex]
Step-by-step explanation:
Vertical Angles states that 9x+27=117
Supplementary Angles states that 117+z=180
[tex]9x+27=117\\Subtract (27)\\9x=90\\Divide(9)\\\left[\begin{array}{c}x=10\end{array}\right] \\\\117+z=180\\Subtract(117)\\\left[\begin{array}{c}z=63\end{array}\right][/tex]
Hope it helps <3
Hey I need to write a note to my grandma for her birthday can someone help plz
Answer:
Happybday have a graet day miss uad
Step-by-step explanation:
Answer:
Step-by-step explanation:
Dear grandma,
Thank you for your infinite life and wisdom. I hope you have a wonderful birthday this year. You are the best! Although right now isn't the best time of the year, I still wish you a happy birthday and a healthy life.
I think that would work...
(a) use the pythagorean theorem to determine the length of the unknown side of the triangle, (b) determine the perimeter of the triangle, and (c) determine the area of the triangle. the figure is not drawn to scale.
a. the length of the unknown side is ___
b. the perimeter of the triangle is ___
c. the area of the triangle is ___
Answer:
(A) 40 km
(B) 90 km
(C) 180 km²
Step-by-step explanation:
To find the missing side of this triangle, let's use the Pythagorean theorem.
[tex]a^2+b^2=c^2[/tex], assuming that a and b are legs, and c is the hypotenuse.
Assuming the 9km side is a, we need to find the value of b, so we can substitute into the equation.
[tex]9^2+b^2=41^2\\81+b^2=1681\\b^2=1681-81\\b^2=1600\\\\b = \sqrt{1600} \\b=40[/tex]
So, the length of the missing side is 40. Now that we know this piece of information, we can find the perimeter and area of the triangle.
The perimeter is all the sides added together, so [tex]41+9+40 = 90[/tex] km is the perimeter.
The area are the two legs multiplied divided by 2.
So,
[tex]\frac{9\cdot40}{2} \\\\\frac{360}{2}\\\\180[/tex]
So the area of this triangle is 180 cm²
I hope this helped!
Jada and jack are each working during the summer to earn money in addition to their weekly allowance, and they are saving all their money. Jada earns $9 an hour at her job and her allowance is $8 per week. And Jack earns $7.50 an hour and his allowance is $16 per week. How many hours do Jada and Jack need to work in order to save the same amount of money in one week?
round off 285 to the nearest ten
Answer:
290
Step-by-step explanation:
Answer:
290
Step-by-step explanation:
I mean you just have to look at a number line and see that 285 is closer to 290 instead of 280...
Select the equation that could represent the relationship between f(x) and g(x).
Answer:
C
Step-by-step explanation:
First, f(x) and g(x) are mirror image over the x-axis. so add a -ve in front.
Second, f(x) is about 2x steeper than g(x), that is its slope is doubled. so add a 2 in front.
Thus, f(x) = -2 g(x)
Which represents the solution(s) of the system of equations, y + 4 = x2 and y – x = 2? Determine the solution set by graphing.
(–2, 0)
(–2, 0) and (2, 0)
(–2, 0) and (3, 5)
no solutions
Answer:
c
Step-by-step explanation:
c
Answer:
the answer is C ;D
Step-by-step explanation:
Max must take 10 steps to go the same distance as three of his dad's steps. His dad takes 30 steps to walk down the hall. How many steps must Max take to walk down the same hall?
Max : 10 steps : Dad: 3 steps.
So it you multiply those each by ten, you get
100 steps : 30 steps.
30 Dad steps is 100 Max steps, so you get the answer, which is 100!
The steps taken by Max is 100.
what is arithmetic operators?A mathematical function that performs a calculation on two operands is known as an arithmetic operator. Common arithmetic makes use of them, and the majority of computer languages include a set of such operators that can be used in equations to carry out a variety of sequential calculations.
Given
steps taken by Max = 10
Steps taken by his Dad = 3
both steps of Dad and steps of Max should be in ratio
3/10 …(1)
steps taken by his Dad = 30
let steps taken by Max = x
ratio = 30/x …..(2)
equation 1 equals equation 2
3/10 = 30/x
x = (30 x 10)/3
x = 100
Hence Max must take 100 steps.
Learn more about arithmetic operators;
https://brainly.com/question/25834626
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A pair of parallel lines is cut by a transversal: A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 20 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 80 degrees. What is the measure of angle x? 60 degrees 70 degrees 80 degrees 100 degrees
4/5 (x − 20) = 8 solve it
Answer:
30
Step-by-step explanation:
4/5 (x-20)=8
4/5x-4/5*20=8
4/5x-16=8
4/5x=24
x=(24*5)/4
x=30
hope it helps..
I WILL GIVE BRAINLIEST!!!! A teacher is grading the final exam. He notices that the mean test score is 61, and the standard deviation is 10. The test scores were normally distributed. if there were 450 students in the data sample, how many would have a test score between 61 and 71 *Round your answer to the nearest full value.
Answer:
153.586 close to 154 students
Step-by-step explanation:
mean=61
standard deviation =10
sample 450 students , x between 61 and 71
(x-mean)/deviation for score 61 and 71
61-61/10=0
71-61/10=1
the z-scores is between 0 and 1 ( use calculator)
the percentage is 0.3413 close to 34%
number of students that score between 61 and 71=
450*0.3413= 153.586 close to 154 students
Add the polynomial
(6s3+9s+10)and(3s3+4s-10)
PLEASE HELP!!! ASAP!!!
Answer:
9s³ ⁺ 13sStep-by-step explanation:
6s³ + 9s + 10 + 3s³ + 4s - 10
Collect like terms
6s³ + 3s³ + 9s + 4s + 10 - 10
Since, two opposites add up to zero, remove them from the expression
6s³ + 3s³ + 9s + 4s
add the like terms
9s³ + 13s
hope this helps..
best regards!!
Answer:
9s^3+13s
Step-by-step explanation:
Add each term:
9s^3+13s
I hope this helps...
And plz mark me brainliest!!
Which statement is true about the end behavior of the graphed function?
Answer:
The correct answer is "As the x-values go to positive infinity the function's value go to positive infinity".
Step-by-step explanation:
If we start analyzing this function at a value of x that is really small, which would be close to negative infinity and we increase the value of x, we will notice that the y-value will also increase. Therefore if we go far into the left, that is, we apply minus infinity to the function we will receive an output that is equal to minus infinity. When the value of x approach 0, the value of the function also approaches 0. Finally when we go far into the right, to positive infinity the function will also go to infinity. Therefore the correct answer is "As the x-values go to positive infinity the function's value go to positive infinity".
A company is designing boxes to ship their product to stores. The design team decides that the width of the box should be five feet shorter than the length, and the height of the box should be three feet longer than the width. Due to shipping constraints, the length of the box can be no greater than six feet. The volume of the box, V(x), can be modeled by a polynomial function, where x is the length of the box. Which of the following correctly models the situation above and gives the correct domain?
Answer:
see below
Step-by-step explanation:
You can work this based only on the domain. You don't need to figure the volume, though you can if you want to check the answer further.
x represents the length of the box, which has a restriction that it can be no greater than 6 ft. This tells you x ≤ 6. However, the width is 5 ft shorter than the width, so its value is x-5. But we know the width must be greater than zero:
0 < x -5
5 < x
So, the constraints on the domain of x are ...
5 < x ≤ 6 . . . . . . only matches the last choice, (5, 6]
___
Checking the volume
The height is 3 more than the width, so the volume is ...
V = LWH = (x)(x -5)(x -5 +3) = x(x -5)(x -2) = x(x^2 -7x +10)
V = x^3 -7x^2 +10x
A taste test asks people from Texas and California which pasta they preferred brand a or brand b this table shows the results. A person is randomly selected for those tested. What is the probability that the person is from Texas given that the person prefers Brand b? Round your answer to two decimal places.
Answer: I just did it and the answer is 0.43
Step-by-step explanation:
Using it's concept, it is found that the probability that the person is from Texas given that the person prefers Brand b is given by:
A. 0.43.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 105 people prefer brand B, and of those, 45 are from Texas, hence:
p = 45/105 = 0.43.
Which means that option A is correct.
More can be learned about probabilities at https://brainly.com/question/14398287
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SOMEBODY!!! HEELLLLLLP if you can help me with one question that's fine!
Step-by-step explanation:
Question 1The 20° angle is equal to the angle next you friend.
since they are interior alternate angles
The height of the ballon is 600 feet
Let x be the missing distance we are looking for
sin20° = 600/x switch x and sin 20° x = 600/ sin 20° x=1754.28≈ 1754 ftso the missing distance is 1754 feet
Question 2Here I represented the situation to visualize the problem
Let h be L be the length of the ladder
sin 30° = 7/L switch L and sin 30°L= 7/sin 30° = 14L = 14 ftso the ladder is 14 ft
Hey loves. Again, needing help with a math question.When will this end? Never, or at least until I get it.:). Help is much appreciated
Answer:
Hey there!
SL=KR
We can't prove that the triangles are congruent, but since SL=SK+KL, and KR=RL+LK. We have RL=SK, so we have two lines:
SL=SK+KL
KR=SK+KL
These are clearly congruent, making these two lines congruent.
Hope this helps :)
In the xy-coordinate plane, a line has a slope of −5/3. If the line crosses the y-axis at (0, b), at what point does it cross the x-axis?
Answer:
([tex]\frac{3}{5}[/tex] b, 0 )
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = - [tex]\frac{5}{3}[/tex] and b = b , thus
y= - [tex]\frac{5}{3}[/tex] x + b ← equation of line
The line crosses the x- axis when y = 0, substitute y = 0 into equation and solve for x, that is
- [tex]\frac{5}{3}[/tex] x + b = 0 ( multiply through by 3 to clear the fraction )
- 5x + 3b = 0 ( subtract 3b from both sides )
- 5x = - 3b ( divide both sides by - 5 )
x = [tex]\frac{3}{5}[/tex] b , thus
x- intercept = ( [tex]\frac{3}{5}[/tex] b, 0 )
Answer:
( b, 0 )
Step-by-step explanation:
The cost of renting a car is $39 plus $0.75 per mile. Which type of
function can represent this situation?
A) linear
B) exponential
Answer:
linear
Step-by-step explanation:
We can write this in the form
y = mx+b
where m is the .75 per mile and b is the 39 dollars
y = .75x + 39
If f(x) is the total cost, in dollars, of x candles, which of the following statements best describes the meaning of f(2)=6
Answer: A) The total cost of 2 candies is $6.00.
Step-by-step explanation:
Hi, the question is incomplete, options are :
A) The total cost of 2 candies is $6.00. B) The total cost of 6 candies is $2.00. C) The total cost of 2 candies is $3.00. D) The total cost of 3 candies is $2.00.
So, to answer this question we have to analyze the function given:
f(2)=6
Since the input value x (number of candles) is 2, and the output (cost in dollars ) is $6, the correct option is :
A) The total cost of 2 candies is $6.00.
find the truth set of 2x-6≤5(3-x)
Answer:
x∈(-∞,3]
Step-by-step explanation:
2x-6<=5*3-5x
2x-6<=15-5x
+5x +5x
7x-6<=15
+6 +6
7x<=21
:7 :7
x<=3
x∈(-∞,3]
A regular octagon is inscribed inside a circle. The perimeter of the octagon is units. A: What is the measure of a side of the octagon? B: What is the measure of a central angle of the octagon? C: What is the approximate measure of the apothem of the octagon (to the nearest hundredth of a unit)? D: Using your answer to part C, what is the approximate area of the octagon (to the nearest whole )?
Answer:
Explained below.
Step-by-step explanation:
Consider the diagram of a regular octagon is inscribed inside a circle.
Suppose the perimeter if the octagon is 8a.
(a)
Compute the measure of a side of the octagon as follows:
[tex]\text{Perimeter}=8\times side\\\\8\times side=8a\\\\side=a[/tex]
Thus, the side of the octagon is a units.
(b)
The sum of all angles of around a point is 360°.
Consider the point P on the octagon.
The sum of all the angle surrounding P will be 360°.
There are a total of 8 angle surrounding the point P.
Then the measure of central angle is:
[tex]\text{Central Angle}=\frac{360^{o}}{8}=45^{o}[/tex]
Thus, the measure of central angle is 45°.
(c)
The line segment from the center of an octagon to the midpoint of a side, perpendicular to said side, is known as the apothem.
Consider the diagram.
In the diagram the line segment PC is an apothem, that is perpendicular to the AB.
The measure of segment AC = a/2 and the measure of segment PA is r (radius of the circle).
Compute he measure of PC as follows:
[tex]PA^{2}=PC^{2}+AC^{2}\\\\PC^{2}=PA^{2}-AC^{2}\\\\PC=\sqrt{PA^{2}-AC^{2}}[/tex]
[tex]=\sqrt{r^{2}-\frac{a^{2}}{4}}[/tex]
Thus, the measure of the apothem of the octagon is[tex]\sqrt{r^{2}-\frac{a^{2}}{4}}[/tex].
(d)
The area of an octagon is:
[tex]\text{Area}=2(1+\sqrt{2})a^{2}[/tex]
The area of the trapezoid is 40 square units.
What is the height of the trapezoid?
6
3 units
5 units
10 units
10
12 units
Answer:
5 units
Step-by-step explanation:
Image of the trapezoid is attached.
To find the height of the trapezoid (image attached), let's take the formula for area of a trapezoid.
The formula for area of a trapezoid is:
[tex] A = (\frac{a + b}{2}) h [/tex]
Here, a and b represents the bases of the trapezoid.
a = 6
b = 10
h which represents height is unknown.
A = 40
Substitute figures:
[tex] 40 = (\frac{6 + 10}{2}) h [/tex]
[tex] 40 = (\frac{16}{2}) h [/tex]
[tex] 40 = 8 * h [/tex]
Solve for h:
[tex] h = \frac{40}{8} [/tex]
[tex] h = 5 [/tex]
The height of the trapezoid is 5 units
Answer:
5 units
Step-by-step explanation:
Find the sum. Express your answer in simplest
form.
Answer:
( 3u +12) / (v^2+4)
Step-by-step explanation:
(-u+3) / (v^2+4) + ( 4u+9)/( v^2+4)
Since the denominators are the same, we can add the numerators
((-u+3) + ( 4u+9)) /( v^2+4)
Combine like terms
( 3u +12) / (v^2+4)
Find the value of x:
Step-by-step explanation:
angle (JIF) = 2x°
so angle (FIG) = (180 - 2x)°
Also , IK || EH
So , angle KIG = angle IGF = x°
angle (EFI) = 3x°
angle (IFG) = (180 - 3x)°
In triangle IFG ,
angle IGF + angle IFG + angle FIG = 180°
=> x + 180 - 3x + 180 - 2x = 180
=> 360 - 4x = 180
=> 4x = 360 - 180 = 180
=> x = 180 / 4 = 45°
I am stuck pls I need help
Answer:
HF is 20 m away from the tower which makes it the base of a triangle
tan 30= opp/adj=PF/HF
PF=tan 30°(20)=11.547
tan 50=T F/20 ⇒ T F=20*tan 50= 23.835
PT= T F-PF= 23.835-11.547=12.288 m
b ) the distance from point H to the power is the hypotenuse
cos 50=adj/hyp
hypo(HT)= 20/cos 50=31.114
(HF at a new angle=40)
tan 40=opp/adj = T F/HF
HF=T F/tan40=23.835/tan 40=28.405
Helppppp plzzzz ❤️❤️❤️❤️I’m crying help with my math
Answer:
A
Step-by-step explanation:
I'm certain the answer is this, and I understand that you are in a hurry. I can update it anytime you'd like to see the explanation