An asymptote of a function is a line that the graph of the function gets closer and closer to, but never touches. It is an approaching line that has a fixed slope.
An asymptote of a function is a line that the graph of the function gets closer and closer to, but never touches. It is an approaching line that has a fixed slope. Asymptotes are used to determine the behavior of a function as it approaches infinity or negative infinity. They can be used to help visualize the behavior of the function in the large and small limits. Asymptotes can be either horizontal or vertical. A horizontal asymptote is a line that the graph of the function approaches as it approaches positive or negative infinity, and a vertical asymptote is a line that the graph of the function approaches as it approaches either the positive or negative x-axis. Asymptotes can also be used to describe the behavior of a function near a local minimum or maximum. Asymptotes can be found by looking at the degree and leading coefficient of a polynomial, or by analyzing the behavior of the function at different points.
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The height of 44 students (in centimeter) are presented in the frequency distribution below. Complete the table, and then find the median.
Height
182 - 188
175 - 181
168 - 174
161 - 167
154 - 160
147 - 153
140 - 146
Frequency
1
3
6
15
12
4
3
L
Given:
The height of 44 students (in centimeter) are presented in the given frequency distribution.
To find:
The median of the given data.
Solution:
The given intervals are inclusive first make the intervals exclusive by adding 0.5 in upper limit and by subtracting 0.5 from the lower limit.
The complete frequency distribution table is shown below:
Height Frequency L <cf
182 - 188 1 181.5 - 188.5 44
175 - 181 3 174.5 - 181.5 43
168 - 174 6 167.5 - 174.5 40
161 - 167 15 160.5 - 167.5 34 Median class
154 - 160 12 153.5 - 160.5 19
147 - 153 4 146.5 - 153.5 7
140 - 146 3 139.5 - 146.5 3
We have, [tex]n=44[/tex].
[tex]\dfrac{n}{2}=\dfrac{44}{2}[/tex]
[tex]\dfrac{n}{2}=22[/tex]
The 22th term is include in the class 160.5 - 167.5 because is cf is greater than 22 but the cf of o preceding class is less than 22. So, it is the median class is 160.5 - 167.5.
Formula for median:
[tex]Median=l+\dfrac{\dfrac{n}{2}-cf}{f}\times h[/tex]
Where, l is the lower limit of median class, cf is the cumulative frequency of preceding class, f is the frequency of median class and h is the size of the class.
Now, [tex]l=160.5,f=15,cf=19,h=7[/tex].
[tex]Median=160.5+\dfrac{22-19}{15}\times 7[/tex]
[tex]Median=160.5+\dfrac{3}{15}\times 7[/tex]
[tex]Median=160.5+1.4[/tex]
[tex]Median=161.9[/tex]
Therefore, the median of the given data table is 161.9.
FREE BRAINLIEST TO WHOEVER ANSWERS CORRECT FIRST! A movie company conducts a survey using a representative sample of customers to determine their favorite type of movie. The results are shown below. Based on the survey results, how many customers are expected to prefer drama movies out of 2,500 customers?
Favorite Movie Types
.
Answer:
320 customers
Step-by-step explanation:
Well the chart given is a huge ratio since its a sample.
you would have this ratio
41:25:43:16
You can add them all up since then you would know how much people have actually be chosen for the survey.
You’d get 125. So 125 is the sample out of 2500 so we can divide to see how much of these “125” samples are in 2500.
You’d get 20.
So there are 20 “125” samples and we’re only focusing on drama which is 16 out of 125. 20*16 would be 320.
i dont understand any of this please help :(
Event A: Rolling a number less than 4 on a number cube Event B: Flipping heads on a coin toss What is the probability of A, the probability of B, and the probability of both A and B?
P(A) =
P(B) =
P(A and B) =
Answer:
first one is 1/2
the next one is 1/2
the last one is 1/4
Step-by-step explanation:
i just did it
The probability of A will be P(A) = 1/2. The probability of B will be P(B) = 1/2. The probability of A and B will be P(A and B) = 1/4
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Event A: Rolling a number less than 4 on a number cube.
Event B: Flipping heads on a coin toss
We need to find the probability of A, the probability of B, and the probability of both A and B.
The probability of A will be
P(A) = 1/2
The probability of B will be
P(B) = 1/2
The probability of A and B will be
P(A and B) = 1/2 x 1/2
P(A and B) = 1/4
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HELP PLEASE HELP PLEASE NO EXPLANATION
Sunlight hits the Earth at an angle. As a result of the tilt of the Earth, some areas of the Earth receive more direct sunlight than others, which means they receive more solar energy. Which statement correctly describes how solar energy changes as latitude changes?
A.
Oceans and lakes receive more solar energy than land masses.
B.
Lower latitudes receive more solar energy than higher latitudes.
C.
The poles receive the most solar energy of all places on the Earth.
D.
The equator receives the least solar energy compared to any other latitude.
Answer:
B. Lower latitudes receive more solar energy than higher latitudes.
i know i was late srry
Find the missing lengths of this triangle.
Can someone help me???
The radius of a circle is 11 in. Find its circumference in terms of \piπ.
Answer: C=
Answer:
C = 22cm
Step-by-step explanation:
If the radius equals to 11, then the diameter is 22 since the diameter is double of radius. They told us to use π, so the answer is 22π.
4) x/5 =2
plz explain
Keiko’s class collected money to donate to charity. When Keiko counted the money, there were 140 five-dollar bills, and 255 one-dollar bills. What expression could he use to find out how much money was collected?
Whoever answers first gets brainlest! :)
Answer:
(140 × $5) + (255 × $1)
Therefore, the money was collected is $ [tex]955[/tex].
What is an expression?
An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Here given that,
Keiko’s class collected money to donate to charity. When Keiko counted the money, there were [tex]140[/tex] five-dollar bills, and [tex]255vvv[/tex] one-dollar bills.
So, it is of the form:-
[tex](140[/tex] ×[tex]5)+(255[/tex] ×[tex]1)[/tex]
[tex]=700+255\\\\[/tex]
[tex]=955[/tex]$
Hence, the money was collected is $ [tex]955[/tex].
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Please help? Is this correct i need tight now poease
Answer:
Yes
Step-by-step explanation:
Your answer is correct :) good job and keep it up!
Justin buys a shirt that costs 24 dollars and a jacket that costs 54 dollars. If sales tax is 7%, what is the total purchase price including tax?
Answer:
$83.46
Step-by-step explanation:
24 + 54 =78
78 × 7% = 5.46
78 + 5.46 = $83.46
If u have 5 games then went to game stop and bought nba2k21, UFC4, Cyber punk 2027, and Avengers, then go back home and got on your game and then went to the playstation app and bought the same games that you just had got from game stop, how many games would have now?
Answer:
im lost
Step-by-step explanation:
Answer:
i believe it would be 8
Step-by-step explanation:
hope this helps :)
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
a) Line M
b)Line M
c)y=1/2x+2
Step-by-step explanation:
a) Line M has a greater y-intercept since its y-intercept is at (0,2) while Line N's y-intercept is at (0,1)
b) Line M has a greater slope since its line is steeper
c) Use the formula y=mx+b
Use the points ( 0,1) and (-4,-1)
m(slope)= y2-y1/x2-x1
m= (-1-1)/(-4-0)
m=-2/-4
m=1/2
substitute
(0)=1/2(-4)+b
2=b(y-intercept)
y=1/2x+2
Answer:
Red line has higher intercept and slope.
The equation for the line: y= 0.5x
Step-by-step explanation:
Brainliest can only be awarded when two people have answered the question.
which expression is equivalent to the expression shown?
Answer:
the answer is 7^12
Step-by-step explanation:
7^14 ÷ 7^2
14 - 2
12
identify the vertex of the graph
Answer:
(-1,-3)
Step-by-step explanation:
Answer:
y = a(x – h)2 + k,
Step-by-step explanation:
Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k). This makes sense, if you think about it.
Write the point-slope form of an equation of the line through the points (-2, -3) and (-7, 4).
A. y+2=−75(x+3)
B. y−4=−75(x−7)
C. y+3=−75(x+2)
D. y+7=−75(x−4)
Answer:
458435464546484845kdnh
Answer:
C. y+3=−7/5(x+2)
Step-by-step explanation:
Line is passing through the points (-2, -3) and (-7, 4).
Slope of line = (-3 - 4)/[-2-(-7)]= (-7)/(-2+7) = - 7/5
Equation of line in the point-slope form is given as with point (-2, -3).
y - (-3) = - 7/5[x - (-2)]
y + 3 = - 7/5(x +2)
What is the image point of (-5,0) after a translation left 2 units and down 1 unit?
Answer:
The image point of (-5, 0) after a translation left 2 units and down 1 unit would be the point (-7, -1).
Step-by-step explanation:
The original point is located at (-5, 0), a translation of two units to the left would be an increase of -2 in the x-axis, and a translation of down 1 unit would be an increase of -1 in the y-axis. Using the translation, you can infer that the new coordinate would be (-5 - 2, 0 - 1) or (-7, -1).
Plz help I’ll give branliest plzzz
Given:
The two triangles are similar by SSS.
To find:
The value of x.
Solution:
If two triangles are similar to each other by SSS, then the corresponding sides of the triangles are proportional.
It is given that [tex]\Delta ABC\sim \Delta DE F[/tex]. So,
[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}[/tex]
[tex]\dfrac{9}{6}=\dfrac{12}{8}=\dfrac{3(x-1)}{x+1}[/tex]
[tex]\dfrac{3}{2}=\dfrac{3}{2}=\dfrac{3x-3}{x+1}[/tex]
[tex]\dfrac{3}{2}=\dfrac{3x-3}{x+1}[/tex]
On cross multiplication, we get
[tex]3(x+1)=2(3x-3)[/tex]
[tex]3x+3=6x-6[/tex]
[tex]3x-6x=-3-6[/tex]
[tex]-3x=-9[/tex]
Divide both sides by -3.
[tex]x=3[/tex]
Therefore, the value of x is 3.
Everyone at your school has to take one art class, so 115 students take glass blowing, 90 students take cave painting, and 15 students take both. The wisest 120 students take photography for an easy A. How many total students are at your school?
So
AUB=A+B-(A$\cap$ B)AUB=115+90-15AUB=100+90AUB=190Total students
190+120310In a survey of 232 students, about 5.5% have attended more than one play. Which is closest to the number of students in the survey who have attended more than play? 5 7 13 16
Answer:
13
Step-by-step explanation:
Number of students that attended more than play = percentage of students that attended more than play x total number of students
5.5% x 232
0.055 x 232 = 12.76 students
to round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
Since the first term is 7 which is greater than 5, 1 would be added to it.
This gives 13
BRAINLY TO WHOEVER HELPS ASAP
Answer:
l=-5,-2
m=-3,-3
n=-6,-6
Step-by-step explanation:
please give me the answer nothing else
Answer:
12.5
Step-by-step explanation:
12x6 is 12 + 5 meters = 12.5m
Point P'P
′
P, prime is the image of P(5,-5)P(5,−5)P, left parenthesis, 5, comma, minus, 5, right parenthesis under a translation by 222 units to the left and 555 units up.
What are the coordinates of P'P ?
Answer:
3,0
Step-by-step explanation:
In ADEF, what is sin D, in simplified form?
Answer:
In simplified form, sin D is;
4/5
Step-by-step explanation:
The given figure and dimension parameters in the question are;
Triangle ΔDEF is a right triangle
The length of leg [tex]\overline{EF}[/tex] which is opposite side to the reference angle = 20
The length of segment [tex]\overline{ED}[/tex] which is the hypotenuse side of the right triangle ΔDEF = 25
The length of segment [tex]\overline{DF}[/tex] which is adjacent side to the reference angle = 15
By trigonometric ratios, we have;
[tex]sin\angle X = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]
Therefore, we have;
[tex]sin\angle D = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{20}{25} = \dfrac{4}{5}[/tex]
∴ In simplified form, sin(D) = 4/5.
What number is missing to make the following statement true 8 11/15= 7 ?/15
Answer:
7 26/15
Step-by-step explanation:
all you have to do is add 15 to the 11.
1: The local street cart sells bacon egg and cheese sandwiches for $2.50,
and soft drinks for $0.75. The street vendor made a total of $933 after
selling a total of 747 sandwiches and soft drinks. (5 points)
HELP QUICK
Answer:
213 sandwiches
534 soft drinks
Step-by-step explanation:
system of equations, if you want better explanation, hmu in the comments.
At Nivea's Newsstand, 6 magazines cost $18.00. How many magazines could you buy with $9.00?
Answer:
3 magazines
Step-by-step explanation:
We will use ratios for this equation:
[tex]\frac{6}{18} =\frac{x}{9} \\\\18x=54\\x=3[/tex]
The number magazines you can buy with $9.00 is 3.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, at Nivea's Newsstand, 6 magazines cost $18.00.
Cost of 1 magazine is 18/6
=$3
Number of magazine with $9 is 9/3
= 3
Therefore, the number magazines you can buy with $9.00 is 3.
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HELPP PLEASEEEEEE!!!!!
Answer:
B. 6 cm
Step-by-step explanation:
The school has 978 pencils. They want to divide them equally among the 84 students. How many pencils will each student get?
Answer:
each student gets 11 pencils
Step-by-step explanation: I searched it up
What’s 6 x 5 * divide* 10? I need answers plz
Answer:
It is 3
Step-by-step explanation:
6*5= 30
30/10= 3
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Whats the volume of the cone?
use the fórmula V=1/3πr^2h.
D is correct. you’re welcome.