f(x)=2.836sin (0.0172(x-80)) +12.164 a. Use technology to obtain a printout of the function over its practical domain. Scale and label the axes appropriately. b. Label the maximum, minimum, and inflection points on the graph. You should label the points both in the form (x, f(x)) and (date, f(x)).
Answers
(a) The function over its practical domain x = 80±nπ n∈(0, 1, 2, 3,..............)
(b) Point of maxima = (171.325, 15), (536.637, 15), (901.928, 15),................
Point of minima = (353.976, 9.326), (719.278, 9.328),...................
Inflection point = (80, 0), (262.651, 0), (445.301, 0),..................
In the given question, f(x)=2.836 sin(0.0172(x-80)) + 12.164
a. Using technology we have to obtain a printout of the function over its practical domain. Scale and label the axes appropriately.
f(x)=2.836 sin(0.0172(x-80)) + 12.164
f'(x) = 0 at 2.836×0.0172 cos(0.0172(x-80)) = 0
So x = 171.325, 353.976, 536.627, 719.278, .................
f''(x) = -2.836×(0.0172)^2 sin(0.0172(x-80)) = 0
So x = 80±nπ n∈(0, 1, 2, 3,..............)
b. We have to label the maximum, minimum, and inflection points on the graph. We should label the points both in the form (x, f(x)) and (date, f(x)).
Point of maxima = (171.325, 15), (536.637, 15), (901.928, 15),................
Point of minima = (353.976, 9.326), (719.278, 9.328),...................
Inflection point = (80, 0), (262.651, 0), (445.301, 0),..................
Therefore, the graph of the aforesaid function is shown below. The greatest value of the function is 15 and the smallest value is 9.328. Additionally, the graph's values are labelled.
To learn more about maxima and minima of function link is here
brainly.com/question/29094468
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Related Questions
solve the following equation for x: y = 2 x-5 , x + y = 4
Answers
Answer:
(3,1)
Step-by-step explanation:
Y=2x-5
x+y=4
substitute the answer for y in the first equation (2x-5) with the y in the second equation
x+(2x-5)=4
x+2x-5=4
3x-5=4
add 5 to both sides to isolate 3x
3x=9
x=3
To find y, replace x in either of the original equations and solve for y.
x+y=4
3+y=4
y=1
so, x=3, y=1
chech answer by subbing x and y values into either original equation.
y=2x-5
1=2(3)-5
1=6-5
1=1
or
x+y =4
3+1=4
4=4
260 students were surveyed on whether they prefer apple juice or orange juice. A table of relative frequencies is shown. How many more girls prefer apple juice than boys
Answers
Answer:
We need a picture of the screen plz
Step-by-step explanation:
PLEASE HELP
3/4x - 7 = 3 (1/6x +1)
Solve the linear equation and determine whether it’s one solution or infinite solution or no solution
Answers
Answer:
One SolutionStep-by-step explanation:
[tex] \frac{3}{4} x - 7 = 3( \frac{1}{6} x + 1)[/tex]
[tex] = > \frac{3}{4} x - 7 = \frac{1}{2} x + 3[/tex]
[tex] = > \frac{3}{4} x - \frac{1}{2} x = 3 + 7[/tex]
[tex] = > \frac{3 - 2}{4} x = 10[/tex]
[tex] = > \frac{1}{4} x = 10[/tex]
=> x = 10 × 4
=> x = 40
Here,
The variable x whose only one value 40 will solve the equation.
Hence,
It has only one solution. (Ans)
Problem 1.(32 points) A random sample of 100 Uber rides in Chicago has on average 5.4miles per ride. Assume the distribution of the distance of Uber rides to be approximatelynormal with a standard deviation of 1.3 miles.(a) (5 points) Construct a 99% confidence interval for the average distance (in miles) ofan Uber ride. (round to one decimal place)(b) (4 points) What can we assert with 99% confidence about the possible size of our errorif we estimate the average distance of an Uber ride to be 5.4 miles
Answers
Answer:
a) CI = ( 5,1 ; 5,7 )
b) SE = 0,1
Step-by-step explanation:
a) Sample random n = 100
Mean = μ = 5,4
Standard deviation s = 1,3
CI = 99 % α = 1 % α = 0,01 α/2 = 0,005
z(c) for 0,005 is from z-table z(c) = 2,575
z(c) = ( X - μ ) /s/√n CI = μ ± z(c) * s/√n
CI = 5,4 ± 2,575* 1,3/10
CI = 5,4 ± 0,334
CI = ( 5,1 ; 5,7 )
b) SE = Standard deviation / √n
SE = 1,3 /10 SE = 0,1
We can support that with 99 % of probability our random variable will be in the CI.
There are 6 flavors of candy in a bag. The probability of randomly selecting strawberry is 1/4, lime is 3/16, lemon is 4/32, cherry is 1/8, and grape is 14/64. What is the probability of randomly selecting a piece of the 6th flavor?
Answers
answer = 8+16+12+8+14 = 58
64-58 = 6
there is a 6/64 probability of selecting a piece of the 6th flavor
A certain test preparation course is designed to help students improve their scores on the USMLE exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 3 students' scores on the exam after completing the course:
15,20,18
Using these data, construct a 90% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal.
Answers
Answer:
The 90% confidence interval for the average net change in a student's score after completing the course is (13.42, 21.92).
Step-by-step explanation:
Average change in the sample:
[tex]M_{s} = \frac{15+20+18}{3} = 17.67[/tex]
Standard deviation of the sample:
[tex]s = \sqrt{\frac{(15-17.67)^2+(20-17.67)^2+(18-17.67)^2}{2}} = 2.52[/tex]
We have the standard deviation for the sample, so the t distribution is used.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 3 - 1 = 2
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 2 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 2.92
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.92\frac{2.52}{\sqrt{3}} = 4.25[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 17.67 - 4.25 = 13.42
The upper end of the interval is the sample mean added to M. So it is 17.67 + 4.25 = 21.92
The 90% confidence interval for the average net change in a student's score after completing the course is (13.42, 21.92).
I will give brainleist pls
Answers
Answer:
C
Step-by-step explanation:
We can immediatly rule out A and B because the Quotient is bigger than the Divisor.
We can then rule out D because 2,016 does not round to 2,200.
The answer is C. 2,184 can round to 2200 and the Divisor is bigger than the quotient.
Answer:
C
Step-by-step explanation:
This is quite simple as we can find the answer out on the first hint itself. The first hint says the divisor, 2 number in the equation or number you are dividing by, can be rounded to 50, which means it is in the range of 45-54. We can see the only divisor in that range is C. To go with the other hints, though, the dividend, first number, can be rounded to 2,200 which means it is in the range of 2,151-2,250. All of them pass that, so on to the next hint. It says the quotient, number you get as answer, is smaller than the divisor, which we found is in the range of 45-54. Answer choices A and B do not follow this as the divisors of their equation are obviously smaller than the quotient, so we can conclude C to be our answer
1 pts
So
Sales
SE
According to
the data given, sza
what is the
sales amount
when the
temperature is
18 degrees C?
Temperature
Answers
Each interior angle of a regular nonagon has a measure 13x+10°. What is x?
Answers
Answer:
Step-by-step explanation:
A nonagon has nine sides.
The sum of exterior angles = 360°, so each exterior angle is 360°/9 = 40°.
Each interior angle = 180°-exterior angle = 140°.
13x + 10° = 140°
x = 10°
MUST HELP!!!! (+10 POINTS +BRANILEST +5 STARS +THANKS ON PROFILE)
any absurd answers will result in a ban.
Answers
Answer:
Imagery
Imagery includes language that appeals to all of the human senses, including sight, hearing, taste, touch, and smell.
I think its imagery because the narrator describes that the character stood firmly, was held, rootless in mid air, etc..
Step-by-step explanation:
:))
Urn 1 contains 3 blue tokens and 2 red tokens; urn 2 contains 2 blue tokens and 4 red tokens. All tokens are indistinguishable. You roll a die to determine which urn to choose: if you roll a 1 or 2 you choose urn 1; if you roll a 3, 4, 5, or 6 you choose urn 2. Once the urn is chosen, you draw out two tokens at random from that urn (no replacement). How many possible outcomes are possible
Answers
Answer:
RR = 0.4
RB = 0.3
BB = 0.22
BR = 0.30
Step-by-step explanation:
P( Urn 1 ) = 2/6 = 1/3
P( Urn 2 ) = 1 - 1/3 = 2/3
Urn 1 contains : 3 blue and 2 red
P( blue | urn 1 ) = 3/5 ( with replacement ) , P( blue | urn 1 ) = 3/4 ( without replacement )
P( red | urn 1 ) = 2 / 5 ( with replacement ) , P(red | urn 1 ) = 1/2 ( without replacement )
Urn 2 contains : 2 blue and 4 red
P ( blue | urn 2 ) = 1/3 ( with replacement ) , P( blue | urn 2 ) = 2/5 ( without replacement )
P ( red | urn 2 ) = 2/3 ( with replacement) , P( red | urn 2 ) = 4/5 ( without replacement )
Determine
i) Possible outcomes when two tokens are drawn from either Urn without replacement
RR = [[ ( 2/5 * 1/3 ) + ( 2/3 * 2/3 ) ] * [( 1/2 * 1/3 ) + ( 4/5 * 2/3 ) ]] = 0.4
RB = [[ (2/5 * 1/3 ) + ( 2/3 * 2/3 ) ] * [ ( 3/4 *1/3 ) + ( 2/5 * 2/3 ) ]] ≈ 0.3
BB = [[ ( 3/5 * 1/3 ) + ( 1/3 * 2/3 ) ] * [ ( 3/4 *1/3 ) + ( 2/5 * 2/3 ) ]] ≈ 0.22
BR = [[ ( 3/5 * 1/3 ) + ( 1/3 * 2/3 ) ] * [ ( 1/2 * 1/3 ) + ( 4/5 * 2/3 ) ]] ≈ 0.30
Neville is making posters for a recycling project. If each poster is a rectangle that is 12.5 inches wide and 16 inches tall, what is the perimeter of one poster?
Answers
Answer:
The perimeter of one poster is 57 inches.
Step-by-step explanation:
The perimeter of a rectangle is given by:
[tex] P = 2(w + h) [/tex]
Where:
w: is the widht = 12.5 in
h: is the height = 16 in
Hence, the perimeter is:
[tex] P = 2(w + h) = 2(12.5 + 16) = 57 in [/tex]
Therefore, the perimeter of one poster is 57 inches.
I hope it helps you!
Easy question look at photo
Answers
Answer:
I would go with yes, since we know BC=UV
Step-by-step explanation:
if a city with a population of 500,000 doubles in size every 64 years, what will the population be 256 years from now?
Answers
Answer:
8,000,000
Step-by-step explanation:
This is because 256 divided by 64 is 4, meaning 64 goes into 256 4 times. If 500,000 is being doubled every 64, it means that in 256 years, the population will have been doubled 4 times.
Meaning? Well...
500,000 x 2 = 1,000,000 = 64yrs
1,000,000 x 2 = 2,000,000 = 128yrs
2,000,000 x 2 = 4,000,000 = 192yrs
4,000,000 x 2 = 8,000,000 = 256yrs
This is 4 times.
so every time it's doubled, it means the sum of that number times 2.
I need help pleaseee
Answers
Answer:
H
Step-by-step explanation:
-6y+15= -27 what is y?
Answers
Answer:
y=7
Step-by-step explanation:
-6y= -27-15
-6y= -42
y=7
Answer:
‐6y= ‐27‐15
‐6y= ‐42
y= ‐42/‐6 minus minus sign will be cut
y=7
85% of x is 51. Write an equation that represents the situation
Answers
Answer:
85%*x =51
Step-by-step explanation:
of means multiply
Hence,
85% times x =51
Find the value of x.
Answers
Answer:
13.8
Step-by-step explanation:
https://www.calculator.net/triangle-calculator.html
It gives you everything you need to know about the triangle
The teachers at Eastside High School were asked the number of years they have been teaching. The results are as follows.
3, 4, 9, 12, 7, 5, 4, 12, 3, 9, 11, 4, 14, 9, 2, 10, 3, 10, 9, 7
Use the data to fill in the box-and-whisker plot below.
Answers
Answer:
I'm not your Slave
Step-by-step explanation:
do it yourself
A record label surveyed 150 random visitors to its website to discover whether they prefer metal, rock, hip-hop, or jazz. The survey showed that 27 visitors preferred metal, 78 preferred rock, 21 voted for hip-hop, and 24 Liked jazz. If the company estimates sales of 3,000 copies a week at its online store, how many will likely be from the rock genre?* 520 1,500 2,100 1,560
Answers
Answer:
3,120
Step-by-step explanation:
Because...............
Which of the following is the additive inverse of
1/2
Answers
Answer:
2
Step-by-step explanation:
1/2 x 2 = 1
Answer:
2
Step-by-step explanation:
beacuse 2/1 is actually 2
According to the Central Limit Theorem, which statements(s) are TRUE. There may be more than 1 correct answer. A. An increase in sample size from n = 16 to n = 25 will produce a sampling distribution for the sample means that has a smaller standard deviation. B. The larger the sample size, the more the sampling distribution of sample means will resemble a normal distribution C. The mean of the sampling distribution of sample means for samples of size n = 15 will be the same as the mean of the sampling distribution for samples of size n = 100. D. The mean of a sampling distribution of sample means is equal to the population mean divided by the square root of the sample size. E. The larger the sample size, the more the sampling distribution of sample means resembles the shape of the population.
Answers
Answer:
Options A, B and C are correct.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
From the Central Limit Theorem, we have that:
The larger the sample size, the closer to the normal distribution the distribution of sample means is.
No matter the sample size, the mean is the same.
The larger the sample size, the smaller the standard deviation.
The smaller the sample size, the larger the standard deviation.
So the correct options are:
A, B, C
Find the 13th term of the arithmetic sequence 4x – 9, x – 16, -23 – 23,...
Answers
Answer: thumbs up
Step-by-step explanation:
What is the value of the following
expression when d=2?
3d + (2.d)-4
Answers
Answer:
6
Step-by-step explanation:
I used a calculator and the answer is 6
Determine whether the equation represents direct, joint, or inverse variation. Then identify the constant.
t = 100/s
y/5 = x
p/qr = 4
C = 2πr
V = 1/3πr^2h
xy = 2/5
Answers
The perimeter of any polygon is the?
Choose a right answer :
a) Product of all the sides.
b) sum of the all sides.
c) sum of any two sides.
d) sum of the diagonals.
Answers
Answer:
B
Step-by-step explanation:
perimeter is the sum of all sides. it's the distance around the figure.
math question helppppppppp
Answers
Answer:
it would be 17 m second one is 20inch third one is 6 meters
Step-by-step explanation:
np give it a heart
Answer:
1st) area = 12 x 3.7 = 44.4 m²
2nd) area = 24 x 18 = 432 in²
3rd) area = 7.3 x 5 =36.5 m²
Step-by-step explanation:
Stefan has a bag that contains 3 blue marbles and 5 red marbles only.What fraction of the marbles in the bag are blue?
Answers
Answer:
3/8
Step-by-step explanation:
vecause there are 8 in total and 3 of them are blue.
hope this helps
PLEASE HELP !!!!!!!!!!!!
Answers
9514 1404 393
Explanation:
The figure will be a rectangle only if the angles between adjacent congruent sides are 90°.
__
Attached is an example of a quadrilateral with 3 congruent sides. It is not a rectangle, but could be an isosceles trapezoid if the top and bottom sides were parallel. It would be a parallelogram (rhombus) if opposite congruent sides were parallel.
(10x – 2) - (2x - 7)
O 8x + 5
O 12.2 + 5
o 12c - 9
O 83 -9
Answers
Answer:
the first one
8x+5
Step-by-step explanation:
10x-2-2x+7= 8x+5