Website B is cheaper then website A.
What are headphones?
A user wears headphones, which are a pair of small loudspeaker drivers, on or near their head over their ears.
They function as electroacoustic transducers, converting an electrical signal into an associated sound.
People can listen to music and carry on conversations at any time and from any location thanks to headphones. It is impossible to overstate how simple it is to use headphones and how much mobility they provide.
There are two types of headphones, website A and website B.
First to find the cost for website A.
Cost of website A = Cost of headphone + cost of postage
= 47.68 + 16.96
Cost of website A = 64.63
Cost of website B = Cost of headphone + cost of postage
= 49.95 + 14.39
Cost of website B = 64.34
The cost of website B is less than the cost of website A.
Hence, website B is cheaper then website A.
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values for the random variables or uncertain variable inputs to a simulation are a. randomly generated from the specified probability distributions b. equal to the most likely value c. selected by the decision maker d. calculated by fixed mathematical formulas e. controlled by the decision maker
The correct option is:
a. randomly generated from the specified probability distributions
Given,
In the question:
Values for the random variables or uncertain variable inputs to a simulation are:-
a. randomly generated from the specified probability distributions
b. equal to the most likely value
c. selected by the decision maker
d. calculated by fixed mathematical formulas
e. controlled by the decision maker
Choose the correct one.
Now, According to the question:
Let's Know:
How do you generate a random number from a probability distribution?
In general, generating a random number from a probability distribution means transforming random numbers so that the numbers fit the distribution. Perhaps the most generic way to do so is called inverse transform sampling: Generate a uniform random number in [0, 1].
The correct option is:
a. randomly generated from the specified probability distributions
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Jasmine checks rental car rates. She discovers that a midsize car costs $50.00 plus $19.99 per day to rent. Which recursive formula shows the sequence of costs to rent the car for 1 day, 2 days, 3 days, and so on? Responses an=19.99+50.00an−1 where n>1 a n = 19.99 + 50.00 a n − 1 where n > 1 an=50.00+19.99an−1 where n>1 a n = 50.00 + 19.99 a n − 1 where n > 1 a1=69.99an=an−1+19.99 where n>1 a 1 = 69.99 a n = a n − 1 + 19.99 where n > 1 a1=50.00an=an−1+19.99 where n>1 a 1 = 50.00 a n = a n − 1 + 19.99 where n > 1
Recursive relation is [tex]a_{n-1}= 50.00 + 19.99~a_{n}[/tex] where n>1
What do you mean by recursive realtion?
A recursive sequence is one in which terms are defined by reference to one or more previously defined terms.
The recursive formula [tex]a_{n+1}=a_{n}[/tex] + d can be used to find the (n+1)th term of an arithmetic series if you know the nth term and the common difference, d.
It is given that cost of midisze car is $50.00
Rent per day = $19.99
We need to find the sequence of costs to rent the car for 1 day, 2 days, 3 days, and so on.
According to the question:
Cost become = 50.00 + 19.99n where n represents the number of days
Recursive formula become:
[tex]a_{n-1}= 50.00 + 19.99~a_{n}[/tex] where n>1
Therefore, recursive relation is [tex]a_{n-1}= 50.00 + 19.99~a_{n}[/tex] where n>1
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Vector Vector P Q has an initial point at (3, 3) and its terminal point is at (5, 7).
Vector Vector R S has an initial point at (4, –6) and its terminal point is at (1, –5).
What is the component form of vector ?
The correct answer is: 5,3
Initial and terminal points of the vector [tex]\vec{PQ}[/tex] of (3., 3) and (5, 7) , and the initial and final point of the vector [tex]\vec{RS}[/tex] of (4, -5), and (1, -5), indicate that the the difference between the vectors is; 5·i + 5·j
What is a vector?
A vector is a quantity that has both magnitude and direction.
The specified vectors are;
The initial and terminal point on vector [tex]\vec{PQ}[/tex] are; (3, 3) and (5, 7)
The initial and terminal point of vector [tex]\vec{RS}[/tex] are (4, -6), and (1, -5)
Therefore, the vector [tex]\vec{PQ}[/tex] - [tex]\vec{RS}[/tex] is therefore;
The vector form of [tex]\vec{PQ}[/tex] = <5 - 3, 7 - 3> = <2, 4>
The vecror form of [tex]\vec{RS}[/tex] = <1-4, -5 - (-6)> = <-3, -1>
The difference between the vectors is therefore;
The vectors are therefore;
[tex]\vec{PQ}[/tex] = 2·i + 4·j
[tex]\vec{RS}[/tex] = -3·i - j
The difference between the vectors is therefore;
[tex]\vec{PQ}[/tex] - [tex]\vec{RS}[/tex] = (2 - (-3))·i + (4 - (-1))·j = 5·i + 5·j
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Alto and Sheryl both worked hard over the summer. Together they earned a total of $500. Sheryl earned $100 more than Alto.
(a) Write a system of equations for the situation. Use s for the amount Sheryl earned and a for the amount Alto earned.
(b) Graph the equations of the system on the graph provided on the next page. a. Note: Insert->Shape will allow you to add lines, draw dots, and otherwise insert shapes in both Microsoft Word and LibreOffice. The graph should be big enough for you to easily plot points using this method. b. If you do not want to graph using the drawing tools built into Microsoft Word or LibreOffice you may also print out, graph by hand, and scan the page. Please note it’s perfectly okay to upload multiple files.
(c) Use Elimination or Substitution to solve the system.
(d) Use your graph to estimate how much each person earned, check your work with part C, and explain your results in complete sentences.
Alto earned $200 while Sheryl earned $300 over the summer.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Consider x represent the amount of money earned by Alto and y represent the amount of money earned by Sheryl
Together they earned a total of $500.
Hence the system of equations for the situation
x + y = 500 (1)
Sheryl earned $100 more than Alto:
y = x + 100
-x + y = 100(2)
Using Substitution to solve the system.
Solving equations 1 and 2 simultaneously gives:
x = 200 , y = 300
Therefore Alto earned $200 while Sheryl earned $300 over the summer.
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tickets to movie cost $5 for adults and $3 for students. A group of friends purchased 18 tickets for $82.00. How many adults ticket did they buy
Answer: 14 Adult tickets
Step-by-step explanation:
The equation for the total number of tickets would be
x+y=18
5x+3y=82
y=18-x
5x+3(18-x)=82
2x=28
x=14
x= Number of adult tickets
8. An organization published an article stating that in any one-year period, approximately 8.3 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country.
Part (a)
Is this a test of one mean or proportion?
State the null and alternative hypotheses.
Is this a right-tailed, left-tailed, or two-tailed test?
What symbol represents the random variable for this test?
In words, define the random variable for this test.
Calculate the following.
(i) Enter your answer as a whole number.
x =
(ii) Enter your answer as a whole number.
n =
(iii) Enter your answer to two decimal places.
p' =
Part (g)
Calculate σx. (Round your answer to three decimal places.)
Show the formula set-up.
State the distribution to use for the hypothesis test.
Find the p-value. (Round your answer to four decimal places.)
[tex]z = \frac{0.08 - 0.083}{\sqrt{0.083 * 0.917/100} }[/tex]
= 0.108
pₐ = P( z < -0.108 ) = 0.4562
So the p-value obtained was a very high value and using the significance level given we have so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of people with depression or a depressive illness is not significantly lower than 0.083 (8.3%)
Data given and notation
n = 100 represent the random sample taken
X=8 represent the people with depression or a depressive illness
p = 8/100 = 0.08 estimated proportion of people with depression or a depressive illness
p₀ = 0.083 is the value that we want to test
α = 0.05 represent the significance level assumed
Confidence = 83% or 0.83 assumed
z would represent the statistic (variable of interest)
pₐ represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportions of people with depression or a depressive illness is lower than the general adult population value of 8.3% or 0.083:
Null hypothesis:
p ≥ 0.083
Alternative hypothesis:
p < 0.083
When we conduct a proportion test we need to use the z statistic, and the is given by:
[tex]z = \frac{p- p_{0} }{\sqrt{p_{0} ( 1 - p_{0} )/ n } }[/tex] --------------------- (1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value .
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
[tex]z = \frac{0.08- 0.083 }{\sqrt{0.083 ( 1 - 0.083 )/ 100 } }[/tex]
= - 0.083 / √ 0.0076
= -0.083 / 0.028
= -0.108
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level assumed is α = 0.05 . The next step would be calculate the p value for this test.
Since is a left tailed test the p value would be:
pₐ = P( z < -0.108 ) = 0.4562
So the p value obtained was a very high value and using the significance level given we have so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of people with depression or a depressive illness is not significantly lower than 0.083 (8.3%).
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The editors of a national automotive magazine recently studied 30 different automobiles sold in the United States with the intent of seeing whether they could develop a multiple regression model to explain the variation in highway miles per gallon. A number of different independent variables were collected. The following regression output (with some values missing) was recently presented to the editors by the magazine's analysts:
Based on this output and your understanding of multiple regression analysis, what is the critical value for testing the significance of the overall regression model at a 0.05 level of statistical significance?
o Nearly F = 3.80
o About F = 5.92
o Approximately F = 2.50
o None of the above
Based on this output of multiple regression analysis, critical value for testing the significance of the overall regression model at a 0.05 level of statistical significance is Approximately F = 2.50.
What exactly is multiple regression analysis?A single dependent variable and a number of independent variables can be analyzed using multiple regression, a statistical approach. Using independent variables whose values are known, multiple regression analysis aims to predict the value of the single dependent value.
What is multiple regression analysis example?When doing multiple regression, each independent variable's value is taken into account in order to predict the value of the single dependent variable. Example: A researcher chooses to examine student performance at a certain school over time.
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A data collection protocol calls for a questionnaire to be administered to patients having knee replacement surgery after the third physical therapy appointment. Errors can be introduced into the study by.
The way that errors can be introduced are;
Giving the questionnaire to all participants when they arrive for their appointment does not follow the protocol;
The participant could fill out the questionnaire before experiencing the therapy session.
How to identify errors in statistics study?Statistical errors are defined as errors that describe the difference that exists between a value obtained from a data collection process and the 'true' value for the population. Thus, the greater the error, the less representative the data will be of the population.
There are two main errors in this case which are type I error and type II error.
A type I error is called false-positive and it occurs if an investigator rejects a null hypothesis that is actually true in the population.
A type II error is called false-negative and it occurs if the investigator fails to reject a null hypothesis that is actually false in the population.
Now, from the question, since the data collection protocol alls for a questionnaire to be administered to patients having knee replacement surgery after the third physical therapy appointment, then we can introduce an error by;
Giving the questionnaire to all participants when they arrive.
The participant could fill out the questionnaire before experiencing the therapy session.
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Giving a questionnaire to all par-ticipants follows the timing of theprotocol.
BReading the questionnaire to par-ticipants with poor reading skillsfollows the timing of the protocol.
CGiving the questionnaire to allparticipants when they arrive fortheir appointment does not fol-low the protocol; the participantcould fill out the questionnairebefore experiencing the therapysession.
DGiving the questionnaire to theparticipants after the appoint-ment to be completed while theyhave a snack follows the timingof the protocol.
72 +1-5 x 3; value: 135
Answer:
58
Step-by-step explanation:
72 + 1 - 5 x 3
= 72 + 1 - 15
= 73 - 15
= 58
a variable is normally distributed with mean 23 and standard deviation 6. use your graphing calculator to find each of the following areas. write your answers in decimal form. round to the nearest thousandth as needed. a) find the area to the left of 25. 0.557 b) find the area to the left of 16. c) find the area to the right of 22. d) find the area to the right of 28. e) find the area between 16 and 30.
a) The area to the left of 25 is 0.63056
b) The area to the left of 16 is 0.12167
c) The area to the right of 22 is 0.56618
d) The area to the right of 28 is 0.20233
e) The area between 16 and 30 is 0.75666
Given,
The mean of the distribution = 23
Standard deviation = 6
We have to find the following areas
(a) Entering the values
Lower : -999999999Upper : 25Area (probability): 0.63056(b) Entering the values
Lower : -999999999Upper : 16 Area (probability): 0.12167(c) Entering the values
Lower : 22 Upper : 999999999 Area (probability): 0.56618(d) Entering the value
Lower : 28 Upper : 999999999 Area (probability): 0.20233(e) Entering the values
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an item is regulary priced at $40. Brian bought it at 40% off the regular price. HOw much did brian pay
Answer: Brian payed $24.00
How u do it:
Discount= original price x discount%/100
Discount = 40 × 40%/100
Discount = 40 x 0.4
You save = $16.00
Final Price = Original Price - Discount
Final Price = 40 - 16
Final Price = $24.00
what is distributional hypothesis in the context of distributional semantics? give a short explanation with some examples. g
Distributional semantics develops methods for measuring and classifying semantic similarity between language elements.
To quantify and classify semantic relatedness among linguistic items based on their distributional qualities in large samples of language data, distributional semantics is a field of study. The distributional hypothesis captures the fundamental principle of distributional semantics.
The semantic theory of language usage, states that terms used and occurring in comparable situations tend to have similar meanings is the basis for the distributional hypothesis in linguistics. For instance, the words "fire" and "dog" have very different meanings and aren't typically used together in a sentence. However, the terms "dog" and "cat" are occasionally used interchangeably, suggesting that they may have a similar connotation.
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Help with these two problems will give branliest
Answer:
15. x = 4
16. x = 7
Step-by-step explanation:
15.
CD/ ED = DG / DF
48 / (5x - 2) = 40 / (2x + 7)
48 (2x + 7) = 40 (5x - 2)
96x + 336 = 200x - 80
200x - 96x = 336 + 80
104x = 416
x = 4
16.
ST / PL = TU / LM
(x + 1) / 72 = (2x - 3) / 99
99 (x + 1) = 72 (2x - 3)
99x + 99 = 144x - 216
144x - 99x = 99 + 216
45x = 315
x = 7
A ski lift rises at a 28° angle during the first 20 feet
up a mountain to achieve a height of 25 feet, which is the
height maintained during the remainder of the ride up
the mountain. Determine the length of cable needed for
this initial rise
The length of cable that is needed for the initial rise is; 41 feet.
How to use Law of Sines?The given parameters are as shown in the image of the triangle attached.
Where;
A = 28 , a = 25 ft, and b = 20 ft.
Now, if A is acute and a > b, it means that one solution exists. Using the
Law of Sines to find B;
a/sin A = b/sin B
Plugging in the relevant values gives;
25/sin 28 = 20/sin B
sin B = (20 sin 28)/25
sin B = 0.3756
B = sin⁻¹0.3756
B = 22.06°
Due to the fact that the two angles are now known, it means that the angle opposite x is 180 – (28 + 22.06 ) = 129.94 . Using the Law of Sines to find x;
a/sin A = x/sin X
25/sin 28 = = x/sin 129.94
solving fir x gives;
x = 40.83 ≈ 41 feet
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Select all the situations for which only zero or positive
solutions make sense.
Measuring temperature in degrees Celsius at an Arctic
outpost each day in January.
The height of a candle as it burns over an hour.
buns
The elevation above sea level of a hiker descending into a
canyon.
The number of students remaining in school after 6:00 p.m.
The temperature in degrees Fahrenheit of an oven used on a
hot summer day.
Answer: the last two situations
Step-by-step explanation:
there would be 0 students left in a school after 6 pm and the temperature in degrees fahrenheit has to be above 0 because it is a hot day and the oven is on
Let f(x) = 4x and g (x) = (4) ^x-1 + 2. Which transformations are needed to transform the graph f (X) to the graph of g (X)? Select each correct answer.
1. horizontal translation 2 units left
2. vertical translation 1 unit down
3. vertical translation 2 units up
4. horizontal translation 1 unit right
5. horizontal translation 1 unit left
6. vertical translation 1 unit up
a cookie store sells 6 varieties of cookies. it has a large supply of each kind. (a) how many ways are there to select 15 cookies? (b) how many ways are there to select 15 cookies if at least three must be chocolate chip? (c) how many ways are there to select 15 cookies if at most 2 can be sugar cookies? (d) how many ways are there to select 15 cookies if at most 2 can be sugar cookies and at least 3 must be chocolate chip?
The tottal number of ways to selct 15 cookies is 15504 and the ways are there to select 15 cookies if at least three is 6188.
What is combination?
A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components
we have to select 15 Cookies from 6 varieties so we can think an n₁+n2+n3+n4 + N5 +N6=15 with each o≤ni ≤15
C([tex]\frac{20}{12}[/tex]) = 15504
NOW we have One category is fixed let K Chocolate chips are Selected in I way The A we have to (15-K) Cookies from the varieties
C([tex]\frac{19-k}{15-5}[/tex])
So for k=0, C1=3876
k=1, C2 =3060
k=2, C3=2380
So C =C1+C2+C3=9316.
So the number of ways 15504-9316= 6188.
Hence, The tottal number of ways to selct 15 cookies is 15504 and ways are there to select 15 cookies if at least three is 6188.
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HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
show your work.
(1/2 + 1/3)÷1/12 - 2^3
Answer: 2
Step-by-step explanation:
solve in parentesis than divide by 0.5 or 1/2 then 2^3= 4 so
that minus 4 equals 2
Which graph shows the solution of the inequality ? x+5_> 2
The graph of the solution of the inequality is shown in figure.
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ x + 5 ≥ 2
Now,
Since, The inequality is,
⇒ x + 5 ≥ 2
Hence, Simplify the inequality as;
⇒ x + 5 ≥ 2
Subtract 5, we get;
⇒ x + 5 - 5 ≥ 2 - 5
⇒ x ≥ - 3
Thus, The graph of the solution of the inequality is shown in figure.
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Jessica bought a kitten from a pet store and recorded its weight at various times over a 6 month period.
She found the linear model that best fit the data was w = 0.45n + 0.12, where n is the number of months since Jessica bought the kitten and w is the kitten's weight in kilograms.
Drag and drop the correct numbers below to complete the sentence.
According to the model, the kitten gained approximately 0.45 kilograms every month and the kitten weighed approximately 0.12 kilograms when Jessica bought it from the store.
Linear functions: Completing a sentenceFrom the question, we are to drag and drop the correct numbers to complete the given sentence.
The given sentence is
According to the model, the kitten gained approximately ____ kilograms every month and the kitten weighed approximately ____ kilograms when Jessica bought it from the store.
From the given information,
The equation that fits the model is
w = 0.45n + 0.12
By comparing with the slope-intercept form a line,
y = mx + c
Where m is the slope
and c is the y-intercept
m = 0.45
and c = 0.12
This means the kitten gained approximately 0.45 kilogram every month and the initial weight of the kitten is 0.12 kilogram
Hence,
The kitten gained approximately 0.45 kilograms every month and the kitten weighed approximately 0.12 kilograms when Jessica bought it from the store.
Here is the complete question:
Jessica bought a kitten from a pet store and recorded its weight at various times over a 6 month period.
She found the linear model that best fit the data was w = 0.45n + 0.12, where n is the number of months since Jessica bought the kitten and w is the kitten's weight in kilograms.
Drag and drop the correct numbers below to complete the sentence.
According to the model, the kitten gained approximately ____ kilograms every month and the kitten weighed approximately ____ kilograms when Jessica bought it from the store.
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Find the slope of the line that passes through each pair of points.
(5, 7), (1, -3)
Answer:
5/2 or 2.5
Step-by-step explanation:
Slope is rise/run. We take the difference of the y-coordinates and divide it by the difference of the x-coordinates.
From this, we get [tex](7--3)/(5-1)[/tex], or [tex]10/4[/tex], which can be simplified to 5/2, or 2.5.
complete the table of values y=x² - 4x - 2
t the movie theatre, child admission is and adult admission is . on wednesday, twice as many adult tickets as child tickets were sold, for a total sales of . how many child tickets were sold that day?
The number of child ticket were sold on Wednesday is 236
The cost of child admission ticket = $6.10
The cost of adult admission ticket = $9.20
Consider the number of child ticket as x and the number of adult ticket as y
Twice times as many adult tickets as child tickets were sold
y = 2x
Then the equation will be
x + y = 707.70
Substitute the value of y in the equation
x + 2x = 707.70
Add the like terms
3x = 707.70
x = 707.70/3
Divide the terms
x = 235.9
x ≈ 236
Therefore, 236 child ticket were sold on that day
I have answered the question in general, as the given question is incomplete
The complete question is:
At the movie theatre, child admission is $6.10 and adult admission is $9.20 . On Wednesday, twice times as many adult tickets as child tickets were sold, for a total sales of $707.70 . How many child tickets were sold that day?
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5. What must the complement of the supplement
of an obtuse angle be?
(A) an acute angle
(B) a right angle
(C) an obtuse angle
(D) a straight angle
(E) a reflex angle
**I’ll give 20 points!
Answer:
A Acute angle (Give me pointssss)
Step-by-step explanation:
Its right bc im smart
a hippogriff rancher wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle (see the figure below). he has 590 feet of fencing available to complete the job. what is the largest possible total area of the four pens?
The largest area is found to be 8702.5 [tex]ft^{2}[/tex].
We know that area of rectangle
A = xy ........ (1)
Perimeter of rectangle (given) = 590 ft
Using x and y as two variables ;
5x + 2y = 590
solve yb in term of x
y = -5/2 x + 295......(2)
Now we will get area only in one variable from (1) and (2)
A = x ((-5/2)x + 295)
A = -5/2 [tex]x^{2}[/tex] + 295x
differentiate it with respect gto x
A' = -5x + 295........ (3)
find the critical point to get your minima and maxima value.
Put A' = 0, x = 295/5 = 59
x = 59
then , from (2)
y= (-5/2 × 59) + 295 = 147.5
y = 147.5
again differentiate (3)
A'' = -5 < 0. i.e critical point x = 59 is point of maxima.
So, maximum area = 59 × 147.5
Largest area = 8702.5 [tex]ft^{2}[/tex]
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a 10 foot ladder is leaning against a wall when the base begins to slide away from the wall. when the base is 8 feet from the wall, the base is moving at the rate of 4 feet per second. how fast is the top of the ladder sliding down the wall, in feet per second?
40/3 feet /second fast the top of the ladder sliding down the wall.
What is ladder?
A ladder is a piece of gear used for climbing up or down objects that consists of repeated bars or steps (rungs) between two upright lengths of metal, wood, or rope.
Typically, these ladders work best for outdoor tasks like roof access or exterior painting. A straight ladder's reach is typically two feet higher than its height.
Given:
A 10 foot ladder is leaning against a wall when the base begins to slide away from the wall. when the base is 8 feet from the wall, the base is moving at the rate of 4 feet per second.
We have dx/dt = 4 feet per second
We want to find dy/dt.
From given information,
x^2 + y^2 = 10^2 ..(1)
When x = 8
⇒ y = √(10^2 - 8^2)
y = √(100 - 64)
y = √36
y = 6 feet
Now differentiate equation (1) with respect to t
[tex]2x\frac{dx}{dt} +2y\frac{dy}{dt} = 0\\ x\frac{dx}{dt} + y\frac{dy}{dt} = 0\\ \frac{dy}{dt} = -\frac{x}{y} \frac{dx}{dt}[/tex]
Plug x = 8, y = 6 and dx/dt = 10
⇒
[tex]\frac{dy}{dt} = -\frac{8}{6}(10)\\ \frac{dy}{dt} = -\frac{40}{3}[/tex]
Hence, 40/3 feet /second fast the top of the ladder sliding down the wall.
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The value of y varies exponentially with respect to x and the 1-unit growth factor is 1.7. Which of the following is the best explanation for the meaning of this growth factor?Whenever x changes by 1, the value of y becomes 1.7 units larger than its previous value.Whenever x changes by 1, the value of y becomes 11.7 times as large as its previous value.Whenever x changes by 1.7, the value of y doubles its previous value.Whenever x changes by 1.7, the value of y becomes 1 unit larger than its previous value.Whenever x changes by 1, the value of y becomes 1.7 times as large as its previous value
We concluded that whenever x changes by 1, the value of y becomes 1.7 units larger than its previous value.
What is the growth factor?
The rate at which a quantity multiplies itself over time is known as its growth factor. A quantity's growth rate is the factor by which it grows (or shrinks) over time.
Here, we have
The required expression for y with respect to x is:
y = (1.7)ˣ.......(1)
Where, 1.7 = 1-unit growth factor
Now we check,
Whenever x changes by 1
x →x +1 .....(2)
Now we put Equation (2) in (1) and we get
y' = (1.7)ˣ⁺¹
y' = (1.7)ˣ (1.7).....(3)
Taking the ratio of equations 3 & 1, we get
y'/y = (1.7)ˣ (1.7)/(1.7)ˣ
y' = 1.7y
Hence, we observe that whenever x changes by 1, the value of y becomes 1.7 units larger than its previous value.
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a random sample of 46 salespersons was asked how long on average they were able to talk to a potential customer. their answers revealed a mean of 8.90 with a variance of 6 minutes. construct a 95% confidence interval for the time it takes a salesperson to talk to a potential customer.
With 95% of confidence interval for the time it takes salesperson to talk to a potential customer is (12.42 , 5.38).
A Random sample is a randomly selected subset of a population. In this sampling method, each member of the population has an exactly equal chance of being selected, minimizing the risk of selection bias.
In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its population mean or sample mean. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value. Variance is an important tool in the sciences, where statistical analysis of data is common. The variance is the square of the standard deviation, the second central moment of a distribution, and the covariance of the random variable with itself, and it is often represented by σ ² ,s² ,Var(X) , or V(X).
A confidence interval (CI) is a range of estimates for an unknown parameter. A confidence interval is computed at a designated confidence level; the 95% confidence level is most common, but other levels, such as 90% or 99%, are sometimes used. The confidence level represents the long-run proportion of corresponding CIs that contain the true value of the parameter. For example, out of all intervals computed at the 95% level, 95% of them should contain the parameter's true value.
Given in the question:
n = 46
x = 8.90
σ = 6
α = 0.95
As we know that:
[tex]X[/tex] ±[tex]Z_{\alpha /2} * \frac{\beta }{\sqrt{n} }[/tex]
putting the values we get,
8.90 ± Z (0.95/2) ×6/√46
Now, considering the positive sign, we get,
= 8.90 + 3.52
= 12.42
Now considering the negative sign,
8.90 ± Z (0.95/2) ×6/√46
= 8.90 - 3.52
= 5.38
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Please help me with this!
answer:
I believe it's D
Paul is making turkey burgers that are 1/4 pound each. He has 2.93 pounds of turkey how many turkey burgers can he make
Answer: 11 turkey burgers
Step-by-step explanation:
1/4 = 0.25
2.93 ÷ 0.25 = 11.72
You can't have a partial burger, so round down
He can make 11 turkey burgers
Answer:
12 burgers
Step-by-step explanation:
i just did this, you round up from the fraction you get