The two functions used to form the rational function are the ratio of two rational polynomial expression p and q.
A function is called a rational function if it can be expressed in terms of the ratio of p and q.
f( x ) = p( x ) / q( x )
They generally are made up of more than one part.
Each function has a domain and a co - domain , they generally tells us about the limits of the function. We can use the rational function to calculate the domain.
Rational function asymptotes are of 3 types which are known as ,
Horizontal AsymptotesVertical AsymptotesOblique AsymptoteTo learn more about functions
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You are interested in finding a 90% confidence interval for the average number of names that people can correctly recall after being introduced to 40 people at a party. Based on past research, you know that the standard deviation for this number is 6.34 names. Suppose you surveyed 55 randomly selected people and found that they correctly remembered an average of 18.16 names. The standard deviation for this group was 4.28 names. Round your answers to two decimal places.
A. The sampling distribution follows a __________ distribution.
B. With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between ______ and _______
C. If many groups of 55 randomly selected people were surveyed, then a different confidence interval would be produced for each group. About _____ percent of these confidence intervals will contain the true population mean number of names remembered and about ______ percent will not contain the true population mean number of names remembered.
Answer:
A. The sampling distribution follows a normal distribution
B. With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between 17.04 and 19.28
C. If many groups of 55 randomly selected people were surveyed, then a different confidence interval would be produced for each group. About 90 percent of these confidence intervals will contain the true population mean number of names remembered and about 10 percent will not contain the true population mean number of names remembered
Step-by-step explanation:
The given parameters are;
The known population standard deviation of the number of names that people can recall after being introduced to 40 people in a party, σ = 6.34 names
The number of people randomly selected in the survey, n = 55 people
The average number of names correctly remembered, [tex]\overline x_1[/tex] = 18.16
The standard deviation of the group surveyed, s = 4.28
A. Based on the Central Limit Theorem CLT, the sampling distribution follows a normal distribution
B. The 90% confidence interval is given as follows;
[tex]C.I.=\bar{x}\pm z_{\alpha /2}\cdot \dfrac{\sigma}{\sqrt{n}}[/tex]
Where [tex]z_{\alpha /2}[/tex] at 90% = 1.65, we have;
[tex]C.I.=18.16\pm 1.65 \times \dfrac{4.28}{\sqrt{55}}[/tex]
C.I. ≈ 17.20 < μ < 19.11
With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between 17.04 and 19.28
C. The 90% confidence interval gives the certainty that if different groups of 55 randomly selected people were surveyed, then about 90 percent of the confidence intervals will contain the true population mean number of names remembered and about 10 percent will not contain the true population mean number of names remembered.
if a x b = a/b - 1, then 7 x 28
Answer:
Do you have answer choices. guess
Step-by-step explanation:
PLZ HELP NEED BY TODAY!!
Step-by-step explanation:
Given 5x + 8 = 118 (vertically opposite angles)
[tex]5x + 8 = 118 \\ 5x = 118 - 8 \\ 5x = 110 \\ x = 110 \div 5 \\ = 22[/tex]
please help if you know the pythagorean thereom
Answer:
AD= square root of 221
:)
Step-by-step explanation:
Simplify the expression: 20x − 6 − 13x + 19
A. 13x − 6
B. 7x + 13
C. 5x − 7
D. 10x + 11
Answer: B
Step-by-step explanation:
20x-13x-6+19
=7x+13
Which of these is an example of due process?
a search without good reason
a prejudiced jury
a cruel punishment
a fair trial
Answer:
A fair trial.
Answer:
Step-by-step explanation: a search without good reason
Evaluate the expression when m=3. m 2 - 5m + 7
Answer:
-2
Step-by-step explanation:
Substitute 3 for m: (3)2 - 5(3) + 7
Simplify: 6 - 15 + 7
Follow PEMDAS and subtract 6 from 15: -9 + 7
Add: -2
Hope this helps ^-^
You said m = 3.
Replace every m you see with 3.
m^2 - 5m + 7
(3)^2 -5(3) + 7
9 - 15 + 7
-6 + 7 = 1
Answer is 1.
1.-28 -20 help me plsss
If you mea. 1 . -28 - 20 then the answer is going to be
[tex]1. - 48[/tex]
but if you mean -28 -20 the the answer is going to be
[tex] - 48[/tex]
someone please help me
Answer:
A. 20ft
Step-by-step explanation:
Answer:
d. 98.5
Step-by-step explanation:
Triangles:
5 x 4 = 20/2 = 10
Circle:
5² x 3.14 = 78.5
Add both of them 98.5
HURRY PLEASE I DONT WANT TO FAIL
Answer: 62
Step-by-step explanation: In the red empty spot, the #5 would go there and in the blue spot the #6 would go there. 8x2=16 and 16+16= 32: t=This is for the to rectangle shapes on both sides. Now for the square in the middle, since the red spot is 5 and the blue is 6, 5x6= 30. So, 30+32=62.
Please follow the instructions and thank you and help me fast please
Answer:
The most important school subject for kids to learn is English. I think it is most important because your improving your fluency in speaking, polishing your writing skills. and also targeting specific skills you need for a particular social envionment.
when taking an english class you Improve your grammer. you are improving it by learning new words and nowing how to pernounce them.
you are polishing your writing skills by having to write essays,summarizes, and other sorts of writing. you also learn all of the elements of writing. learning that is important.
so taking an english class is really important. taking an english class improves alot of different things. it can even help you if you wanted to become a writer.
Jen collects stamps. The first month she added 25 stamps. Six months later, she doubled in number to a total of 98. How many stamps did she have to start her collection?
Answer:
49
Step-by-step explanation:
What is the value of x?
Answer:
x = 64
Step-by-step explanation:
2x = 128
x = 64
Answer:
hi
Step-by-step explanation:
i think so
128⁰+2x⁰=180⁰
2x⁰=180⁰-128⁰
2x⁰=52⁰
x=52/2
x=26⁰
hope it helps
have a nice day
Can someone help me please I will give you Brainly if you get it right
Answer:
Hi! The answer to your question is A. 4 hours
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Answer:
4
Step-by-step explanation:
I got it wrong at first but someone corrected me ;n;
Please answer this and my recent questions if you can
Answer:
x is 15
Step-by-step explanation:
b is 75 hope this helps you
HELLO!! I NEED HELP! Please show full Solutions. I will mark brainliest for the best answer. Thank you and god bless.
Can anyone help me on this question???
Answer:
Step-by-step explanation:
Mio calculated the volume in this way : V = 12 • 5
Explain what the 12 and 5 represent in the figure.
What is the value of m in the equation 5m = 20.05?
25.05
15.05
4.10
4.01
Which is a number that can be written as a fraction in the form ?
Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. An integer can be written as a fraction simply by giving it a denominator of one, so any integer is a rational number.
Hope this helps!
What is the height of the cylinder in the diagram? Round your answer to the nearest whole number.
Answer:
8 is the height
Step-by-step explanation:
please mark this answer as brainlest
Divide.
389.5÷104
plz i need help
Answer:
The answer is 3.74519230769
Ahmad invested in a savings bond for 5 years and was paid simple interest at an annual rate of 2%. The total interest that he earned was $800. How much did he invest?
please help me i don’t know te anser
A=b h................
Answer:
A = 20
Step-by-step explanation:
A = bh
b = 4
h = 5
4 × 5 = 20
find the unit price to the nearest tenth of one cent. 12-ounce can of cola for 60 cents
Answer:
1 ounce is 0.05
Step-by-step explanation:
PLEASE HELP ASAP THIS IS DUE TODAY!!!!!
Answer:
Blue: 2/8
Red or Yellow: 3/8
Not Brown: 8/8
Not Green: 5/8
Number Five: 20%
Step-by-step explanation:
First Four Questions: See how many parts the spinner is in then count the number of colors its asking or not asking for and put that number over the total amount of parts
Question Five: If it shows up on time 80 percent of the time then the other 20 percent of the time they were late so there is a 20 percent chance of that happening again.
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Finding slope given two points on the line
Find the slope of the line passing through the points (-4, 6) and (3, -8).
Answer:
The slope is -2
Step-by-step explanation:
Hi there!
We are given the points (-4, 6) and (3, -8)
We want to find the slope (m) of the line that passes through these points
We can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to calculate the slope, where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.
[tex]x_1=-4\\y_1=6\\x_2=3\\y_2=-8[/tex]
Now substitute into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-8-6}{3--4}[/tex]
Simplify:
m=[tex]\frac{-8-6}{3+4}[/tex]
m=[tex]\frac{-14}{7}[/tex]
Divide
m = -2
The slope of the line is -2
Hope this helps!
See more on calculating slope from 2 points here: https://brainly.com/question/26738734
For a beverage, Lisa mixes cups of lemonade to cups of iced tea in a ratio of 2:5. Which of the following best describes the amount of lemonade to iced tea?
For every 2 cups of lemonade, there are 3 cups of iced tea.
For every 2 cups of lemonade, there are 5 cups of iced tea.
For every 3 cups of lemonade, there are 2 cups of iced tea.
For every 5 cups of lemonade, there are 2 cups of iced tea.
Answer:
Answer 2 would be true.
Step-by-step explanation:
Because our ratio is 2:5 (or 2 to 5 for easier understanding) we know that every 2 cups we use of lemonade, we pair with 5 cups of tea.
Answer:
The answer is B
Step-by-step explanation:
For every 2 cups of lemonade, there are 5 cups of iced tea.
The sophomore class needs a combined total of 216 medium and large t-shirts for field day. The number of medium t-shirts needed is three times the number of large t-shirts needed. Based on this information, would it be reasonable for the sophomore class to order 72 large t-shirts and 144 medium t-shirts? A. No, because the number of medium t-shirts is not 3 times the number of large t-shirts B. No, because the number of large t-shirts is not 3 times the number of medium t-shirts C. Yes, because the total number of t-shirts is 216 D. Yes, because the number of large t-shirts is of the total number of t-shirts
The cost of renting a car is represented by C=8.5h+25.5, where C is the cost in dollars and h is the number of hours rented.
If Peter rents a car and pays a cost of $85, how many hours did he rent it for?