Consider the following. f(x) = 2x3 - 6x2 – 48% (a) Find the intervals on which f is increasing or decreasing. (Enter your answers using interval notation.) increasing -00,- 4) U (2,00) U x decreasing (-4,2) x (6) Find the local maximum and minimum values of f. (If an answer does not exist, enter DNE.) local minimum value -56 X local maximum value (c) Find the intervals of concavity and the inflection points. (Enter your answers using interval notation.) concave up concave down inflection point (x, y) =
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The function is increasing for interval (-4,2), the critical points (local maxima and minima) for the function is at x = -4 to 6 and interval concavity and infection point are (-∞,1), (1,∞) and (1, -52%)
(a) To check if the function increasing or decreasing, we have to find the sign of the derivative.
f(x) = 2x³ - 6x² - 48%
f'(x) = 6x² - 12x
To determine crucial points, set f'(x) = 0.
6x^2 - 12x = 0
x = 0 or x = 2 = 6x(x - 2)We can observe that f(x) rises on the intervals (-∞,-4) and (2,∞) and falls on the interval (-4,2).
(b) To find local maxima and minima we have to put the critical and the end points into the defined range of f(x).
We have already discovered the critical points x = 0 and x = 2.
We must evaluate f(x) at x = -4 and x = 6 to determine the interval endpoints.
f(-4) = 128%
f(6) = -24%
When these values are compared to the values at the critical points:
f(0) = -48%
f(2) = 16%
(c) To identify the concavity intervals and inflection points, find the second derivative of f(x) and determine its sign.
f(x) = 2x^3 - 6x^2 - 48%
f'(x) = 6x2 - 12x f''(x) = 12x
To find inflection points, set f''(x) = 0.
12x - 12 = 0 x = 1We can observe that f(x) is concave up and concave down on the intervals (-∞,1) and (1,∞).
As a result, the f(x) inflection point is (1, -52%).
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Related Questions
Determine whether the following objects intersect or not. If they intersect at a single point, describe the intersection (could be a point, a line, etc.) (a) The lines given by r = (4 + t, -21,1 + 3t) and = x = 1-t, y = 6 + 2t, z = 3 + 2t. (b) The lines given by x= 1 + 2s, y = 7 - 3s, z= 6 + s and x = -9 +6s, y = 22 - 9s, z = 1+ 3s. = (c) The plane 2x - 2y + 3z = 2 and the line r= (3,1, 1 – t). (d) The planes x + y + z = -1 and x - y - z = 1.
Answers
(a) The lines intersect at the point (5/2, -21, -7/2).
(b) The lines intersect at the point (-4, 11, 7/2).
(c) The plane and line intersect at the point (3, 1, -2).
(d) The planes x + y + z = -1 and x - y - z = 1 intersect along a line.
(a) The lines given by r = (4 + t, -21, 1 + 3t) and r = (x = 1-t, y = 6 + 2t, z = 3 + 2t):
To determine if the lines intersect, we need to equate the corresponding components and solve for t:
4 + t = 1 - t
Simplifying the equation, we get:
2t = -3
t = -3/2
Now, substituting the value of t back into either equation, we can find the point of intersection:
r = (4 + (-3/2), -21, 1 + 3(-3/2))
r = (5/2, -21, -7/2)
(b) The lines given by x = 1 + 2s, y = 7 - 3s, z = 6 + s and x = -9 + 6s, y = 22 - 9s, z = 1 + 3s:
Similarly, to determine if the lines intersect, we equate the corresponding components and solve for s:
1 + 2s = -9 + 6s
Simplifying the equation, we get:
4s = -10
s = -5/2
Substituting the value of s back into either equation, we can find the point of intersection:
r = (1 + 2(-5/2), 7 - 3(-5/2), 6 - 5/2)
r = (-4, 11, 7/2)
(c) The plane 2x - 2y + 3z = 2 and the line r = (3, 1, 1 - t):
To determine if the plane and line intersect, we substitute the coordinates of the line into the equation of the plane:
2(3) - 2(1) + 3(1 - t) = 2
Simplifying the equation, we get:
6 - 2 + 3 - 3t = 2
-3t = -9
t = 3
Substituting the value of t back into the equation of the line, we can find the point of intersection:
r = (3, 1, 1 - 3)
r = (3, 1, -2)
(d) The planes x + y + z = -1 and x - y - z = 1:
To determine if the planes intersect, we compare the equations of the planes. Since the coefficients of x, y, and z in the two equations are different, the planes are not parallel and will intersect in a line.
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James has a board that is 3/4 foot long. He wants to cut the board pieces that are each 1/8 foot long.
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Thus he can cut it into six pieces
helpppp me pleaseee.
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Upon admission, a client reports that he has always feared disapproval and rejection from others in his life. Several weeks later, the client appears anxious and worried. When asked about his behavior, he states that he feels judged by the social worker and that the social worker is being critical of him when he sees her. The client's feelings are an example of :
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The client's feelings of being judged and criticized by the social worker are an example of transference.
Transference occurs when an individual unconsciously transfers feelings, emotions, and expectations from past significant relationships onto a current person or situation. In this case, the client's fear of disapproval and rejection from others in his life, which he mentioned during the initial assessment, is being projected onto the social worker.
Transference can manifest in various ways, including feeling misunderstood, judged, or criticized by the therapist or other individuals in positions of authority. It often stems from unresolved conflicts or unresolved emotions associated with past relationships, particularly those with primary caregivers or significant figures from the individual's early life.
It is important for the social worker to recognize and address the transference in a sensitive and therapeutic manner. By acknowledging the client's feelings and exploring their origins, the social worker can help the client gain insight into their past experiences and develop a healthier perspective on the therapeutic relationship. This process can contribute to the client's overall growth and well-being.
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What is the circumference of the circle below?
Answers
Answer:
Step-by-step explanation:
circumference C=2*3.14*r
C=2*3.14*18m=113.04 m
Answer:
113.04 meters.
Step-by-step explanation:
Use the formula
2 times pi times r
r=radius of the circle
or Pi times D
d= diameter of the circle.
The radius is 18 meters.
So, do 2 times 18 times pi.
Shaq made 8 out of 15 free throws he attempted in game 6 of the NBA Finals. The Lakers want to know how many consecutive free throws he would have to make to raise the percent of successful free throws to 75% during the game.
write and equation that represents this situation.
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The equation that represents the situation in which case the percent of successful free throws is 75% during the game is; ( 8 + x ) = 0.75 ( 15 + x ).
Which equation represents Shaq's situation as described in the task content?It follows from the task content that the equation which represents the situation in which case the percent of successful free throws rises to 75% is to be determined.
As evident in the task content; Initially, Shaq made 8 out of 15 free throws he attempted.
Therefore, let the number of consecutive free throws he has to make to raise the success rate to 75% be; x.
Therefore, it follows from percent proportion that;
( 8 + x ) / ( 15 + x ) = 75 / 100
The simplified equation which represents the required situation is therefore;
( 8 + x ) = 0.75 ( 15 + x ).
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Molly is baking for the Moms and Muffins event at her school. she will bake 4 batches of banana muffins. she needs 1-3/4 cups of bananas for each batch of muffins.
PART A
Molly completed the mutiplication below and said she needed 8 cups of bananas for 4 batches of muffins. What is mollys error? Mutiplacation problem----{4x 1-3/4=4x8/4=32/4=8}------
PART B
what is the correct number of cups molly needs for 4 batches of muffins? explain your answer.
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A cooler contains eleven bottles of sports drinks: three lemon-lime flavored, five orange-flavored, and three fruit-punch flavored. You randomly grab a bottle. It is a lemon-lime or a fruit punch..
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The probability of grabbing a lemon-limbed or a fruit punch bottle from the cooler is 6/11.
What is 'AND' and 'OR' statements in probability?'AND' represents multiplication and 'OR' represents addition.
The total number of bottles of sports drinks which is also our sample space
N(S) = 11.
The number of lemon-lime flavored bottles \(N(L_l)\) = 3.
The Number of fruit punch flavored bottles \(N(F_p)\) = 3.
So, the probability of grabbing a lemon-lime bottle \(P(L_l)\) = \(\frac{N(L_l)}{N(S)}\) = 3/11.
And, the probability of grabbing a fruit punch bottle \(P(F_p)\) = \(\frac{N(F_p)}{N(S)}\) = 3/11.
∴ The probability of grabbing a lemon-lime or a fruit punch bottle is the sum of the probability \(P(L_l) + P(F_p)\).
= 3/11 + 3/11.
= 6/11.
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A store ships books by weight a small box can hold 4 to 6 pounds while a large box can hold 8 to 9 pounds how much can each box hold
Small box= 4 to 6 lbs
Large box= 8 to 9 lbs
Book weights large 3.1 lbs
Small 2.4 lbs
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Answer:
The small box can hold 4 to 6 lbs, so it can hold the 3.1 lb book and 2.4 lb book. The large box can hold 8 to 9 lbs, so it can hold the 3.1 lb book, but not the 2.4 lb book.
Step-by-step explanation:
need help with this question
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Answer:
I think it's c sorry if im wrong
what is the degree of -7xyz^2
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Answer:
The degree is 4
Let me know if it helped :)
The domestic violence study conducted in 1984 by Sherman and Berk had an ethical concern in that: O They financially profited from the research. O They did not adhere to special protections for vulnerable populations. O They potentially withheld a beneficial treatment. O They deceived their subjects.
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In the 1984 domestic violence study conducted by Sherman and Berk, the ethical concern was that they potentially withheld a beneficial treatment.
The domestic violence study conducted by Sherman and Berk in 1984 raised an ethical concern in that they financially profited from the research. This raises the question of whether their motives were purely altruistic or whether they were driven by financial gain. Additionally, the study did not adhere to special protections for vulnerable populations such as women and children who may have been victims of domestic violence. This raises concerns about the validity and generalizability of the study's findings. Furthermore, the study potentially withheld a beneficial treatment, which raises questions about the ethical responsibility of researchers to ensure that their subjects receive the best possible care. Finally, there are also concerns that the researchers may have deceived their subjects, which raises questions about the integrity and transparency of the research process. In conclusion, the ethical concerns raised by this study highlight the need for researchers to carefully consider the impact of their research on vulnerable populations and to ensure that they adhere to the highest ethical standards.
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statistics report that the average successful quitter is able to stop smoking after how many times?
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Statistics report that the average successful quitter is able to stop smoking after multiple attempts, usually between 8 to 10 times. everyone's journey to quitting smoking is unique and may take more or fewer attempts to achieve success.
According to statistics, the average successful quitter is able to stop smoking after attempting to quit 6 to 30 times. This number varies due to individual factors and the methods used for quitting. Remember, persistence is key, and it is never too late to quit smoking for a healthier lifestyle.
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The table below represents a linear function for the cost of a gym membership based on the number of months of membership.
Time (month) Cost
1 $105
3 $165
5 $225
7 $285
What is the slope and y-intercept of the linear function?
The slope is ____ and the y-intercept is ___.
Answers
Answer:
The slope is 30, and the y-intercept is 75.
Step-by-step explanation:
Use two points from the table, and find the equation of a line given two points.
Point 1: (1, 105)
Point 2: (3, 165)
y = mx + b
slope = m = (y_1 - y_1)/(x_2 - x_1)
m = (165 - 105)/(3 - 1) = 60/2 = 30
y = 30x + b
Use point (1, 105) for x and y.
105 = 30(1) + b
105 = 30 + b
b = 75
y = 30x + 75
The slope is 30, and the y-intercept is 75.
Which of the following is closest to
0 on the number line?
A) - | -5.1 |
B) 4.7
C) - | - 0.9 | D) - | 6.7 |
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Answer:
C
Let's simplify the answers. Use absolute value.
| -5.1 | = 5.1 - > |5.1| = 5.1
4.7 - > |4.7| = 4.7
| -0.9 | = 0.9 - > |0.9| = 0.9
- |6.7| = -6.7 - > |-6.7| = 6.7
Now, order each from least to greatest.
0.9, 4.7, 5.1, 6.7
Which one is the smallest? 0.9
So, C is correct.
I'm sorry if I misunderstood.
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Jamie is practicing free throws before her next basketball game. The probability that she makes each shot is 0.6. If she takes 10 shots, what is the probability that she makes exactly 7 of them
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The probability that Jamie makes exactly 7 shots out of 10 free throws is 0.214990848.
To find the probability that Jamie makes exactly 7 shots out of 10 free throws, we can use the binomial probability formula. The formula is as follows: P(X = k) = (n choose k) * p^k * (1-p)^(n-k) where n is the number of trials, k is the number of successes, p is the probability of success, and (n choose k) is the binomial coefficient that represents the number of ways to choose k successes from n trials.
Now, we can plug in the values that we know into the formula:
n = 10,
k = 7,
p = 0.6 P(X = 7)
= (10 choose 7) * 0.6^7 * (1-0.6)^(10-7)
We need to evaluate (10 choose 7) using the combination formula: (10 choose 7) = 10! / (7! * 3!) = 120Plugging this into the binomial formula,
we get:
P(X = 7) = 120 * 0.6^7 * 0.4^3
= 0.214990848
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A right triangle has two legs that measure b=4 and a=
✓ 84 , how long is the hypotenuse?
Answers
Answer:
Sides: a = 9.165 b = 4 c = 10
Step-by-step explanation:
Is that check mark supposed to be square root?
Answer:
\((4^{2} +(\sqrt{84} ^{2} )\\=100\)
Step-by-step explanation:
Michael bought a car for $6500 in 2018. The price of the car declines by 14.3% per
year driven. How much will the car be worth in 2030?
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30-18=12 12x6500x14.3%= 11,154 So the answer would be 11,154
∠VTW≅∠UTW and ∠U≅∠V. Complete the proof that
VW
≅
UW
.
T
U
V
W
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Answer: did you make that up ??
Step-by-step explanation:
Answer:
A. Alternate interior
B. Transitive property
C. Converse alternate interior angles theorem.
Davi has 75 flower seeds. He wants to plant the seeds in pots so that every seed is planted, and every pot has the same number of seeds.
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Answer:
I think 15 or 25
Step-by-step explanation:
If you divide 75 by 5 then you get 15. So if you plant 5 seeds per pot then you will need 15 pots to plant all of the seeds.
Also,
If you divided 75 by 3 it =25
William got scores of q sub 1, , and q sub 3 on three quizzes.
a. Write a formula for the average x of all three quizzes.
b. William got an 85 and an 88 on the first two quizzes. What formula can William use to determine the score he needs on the third quiz to get an average of 90? What score does he need?
Answers
Answer:
a. The average is =(++) .
b. He can use the formula =−− q sub 3 , equals 3 x minus , q sub 1 , minus , q sub 2. He will need a score of =()−−= q sub 3 , equals 3 open 90 close minus 85 minus 88 equals 97 on his third quiz.
Step-by-step explanation:
Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Answers
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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Can someone please help me?
The curriculum runs from Mon 27/7/2020 to Fri 27/11/2020, work out how many full weeks this is by using a calendar.
a) Number of weeks:
b) Convert the number of weeks to fortnights:
You work on your studies 3 days of the week
a) What is the total number of days that you study using the number of weeks you calculated earlier and 3 days a week
b) If you work 2 hours a day what would the total number of hours be over the course?
Answers
Using proportions, the amounts are given as follows:
a) Number of weeks: 17.
b) Number of fortnights: 8.5.
a) Number of days studied: 51.
b) Number of hours studied: 102.
What is a proportion?A proportion is a fraction of a total amount, and this fraction is used to build relations, using basic arithmetic operations such as multiplication or division, to obtain the desired measures in the context of a problem.
Using a calendar, the number of weeks between these two dates is of:
17.
A fortnight is composed by two weeks, hence the number of fortnights is:
17/2 = 8.5.
You studied 3 days a week, hence the number of days studying was of:
17 x 3 = 51 days.
You studied 2 hours a hence, hence the number of hours studying was of:
51 x 2 = 102 hours.
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Please help
Please help I’m confused and my teacher isn’t good at explaining.
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Answer:
(5 √3) / 4
Step-by-step explanation:
We have an angle of 60 and right-angle (90°).
Total number of angles in a triangle add up to 180°.
the angle at the bottom of that triangle (the one below the 5) must be
180 - 90 - 60 = 30°
We can use the Sine rule, which states (in our question) (x / SIN 30) = (5 / SIN 60).
Multiply both side by SIN 30.
we now have x = (5 multiplied by Sin 30) / Sin 60
= ( 5 X 0.5) / (√3 / 2)
= (5 √3 ) / 4
This is value of x.
A closed rectangular container with a square base is to have a volume of 2250 in3. The material for the top and bottom of the container will cost $2 per in2, and the material for the sides will cost $3 per in2. Find the dimensions of the container of least cost.
Answers
The dimensions of the container of least cost are 15 inches by 15 inches by 3 inches, and the least cost of the container is $990.
Let the side of the square base of the rectangular container be x, and the height be y. The volume of the container can be expressed as xy² = 2250. From this, we can solve for x in terms of y using x = (2250/y²) as shown in equation (1).
Next, let's consider the cost of the sides (C). The cost of the sides is directly proportional to the surface area of the sides of the container, which is given by 2xy + 4y². Therefore, we can express the cost of the sides as C = k(2xy + 4y²) in equation (2), where k is a constant.
Since we are looking for the dimensions of the container of least cost, we need to minimize the cost function. To do this, we can differentiate the cost function with respect to y and set it equal to zero. This will give us the critical point where the cost is minimized.
Differentiating C with respect to y, we get dC/dy = 2k(x + 4y). Setting this equal to zero, we have 0 = 2k(x + 4y). Simplifying this equation, we get y = x/4 as shown in equation (3).
From equations (1) and (3), we have x = 15 and y = 3 inches. Therefore, the dimensions of the container of least cost are 15 inches by 15 inches by 3 inches.
To find the total cost, we calculate the cost of the top and bottom of the container (2xy) which is $2(15²) = $450, and the cost of the sides (4y²) which is $3(4*15*3) = $540. The total cost is the sum of these costs, which is $450 + $540 = $990.
In conclusion, the dimensions of the container of least cost are 15 inches by 15 inches by 3 inches, and the least cost of the container is $990.
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WILL GIVE BRAINLIEST Find the solution of the system of equations.
−x−3y= −3
x−6y= −24
Answers
How do I do this ? This is mad confusing lol
Answers
Answer:
2=137⁰
3=31⁰
1=47⁰
Step-by-step explanation:
2 is on a straight line with 43 and a straight line is 180 degrees so 180-43=137
A triangle has 180 degrees and we figured out 2 so 137+12 then subtract from 180 equals 31 degrees
3. The box in the triangle represents 90⁰ so 43 + 90 then subtract from 180 equals 47
Answer:
2=137
3=31
1=47
Step-by-step explanation: I took test
Brandon is running errands for his mother. It is 1 4 mile from his house to the library and 2 3 mile from the library to the grocery store. Brandon claims that he walks a total of 11 12 mile if he goes from his house to the library to the grocery store. Which of the following shows whether Brandon is correct and why? A. Yes; the correct distance is 11 12 mile, because 1 4 2 3 = 3 12 8 12 = 11 12. B. No; the correct distance is 10 12 mile, because 1 4 2 3 = 4 12 6 12 = 10 12. C. No; the correct distance is 1 mile, because 1 4 2 3 = 4 12 8 12 = 12 12 = 1. D. No; the correct distance is 1 1 12 miles, because 1 4 2 3 = 4 12 9 12 = 13 12 = 1 1 12.
Answers
The correct answer is D. No; the correct distance is 1 1/12 miles, because 1/4 + 2/3 = 4/12 + 8/12 = 12/12 = 1 1/12.
To solve this problem, we first need to convert the mixed numbers to fractions. 1 4 = 4 12 and 2 3 = 8 12. Then, we can add the fractions together. 4 12 + 8 12 = 12 12 = 1 1 12.
Therefore, Brandon is incorrect. He walks a total of 1 1/12 miles, not 11 1/2 miles.
A study was done to see if male or female college students watched more TV. They recorded times over a 3-week period. In a random sample of 46 male students, the mean time watching TV per day was 68.2 minutes with a standard deviation of 67.5 minutes. The 39 female students mean time was 83.5 minutes with a standard deviation of 87.1 minutes. Is there evidence that the female mean time watching TV per day is greater than the male mean time? Write null and alternative hypothesis, state what test you are using, write down test statistic and p-value from calculator, state conclusion, and interpret results in terms of the problem given.
Answers
The calculated p-value is greater than the significance level (0.571 > 0.05). Therefore, we fail to reject the null hypothesis.
Null hypothesis (H0): The mean time watching TV per day for female college students is not greater than the mean time for male college students.
Alternative hypothesis (H1): The mean time watching TV per day for female college students is greater than the mean time for male college students.
We will use a two-sample t-test to compare the means of the two independent samples.
Test statistic:
We will calculate the t-value using the following formula:
t = (x(bar)1 - x(bar)2) / sqrt((s1^2 / n1) + (s2^2 / n2))
where x(bar)1 and x(bar)2 are the sample means, s1 and s2 are the sample standard deviations, n1 and n2 are the sample sizes.
Given:
For male students: x(bar)1 = 68.2 minutes, s1 = 67.5 minutes, n1 = 46
For female students: x(bar)2 = 83.5 minutes, s2 = 87.1 minutes, n2 = 39
Calculating the t-value:
t = (68.2 - 83.5) / sqrt((67.5^2 / 46) + (87.1^2 / 39))
Now, using a t-table or a calculator, we can find the p-value corresponding to the calculated t-value and degrees of freedom (df = n1 + n2 - 2). The p-value represents the probability of observing a more extreme result if the null hypothesis is true.
Once the p-value is obtained, we can compare it to a chosen significance level (e.g., 0.05) to make a conclusion.
I'll calculate the t-value and p-value using the provided information. Please give me a moment.
Calculating the t-value and p-value:
t ≈ -0.571
p ≈ 0.571
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find the exact simplified solution to the equation below so that 0 ≤ t ≤ . 1 + tan(t) /sin(t) = 0t= ____
Answers
Therefore, We then solved for the value of tangent that satisfies the equation, which is tan(t) = 1.
Explanation:
To find the solution to the equation, we need to simplify it first.
1 + tan(t) / sin(t) = 0
We can rearrange the equation to isolate the tangent term:
tan(t) / sin(t) = -1
We know that tan(t) / sin(t) = tan(t) * cot(t), so we can substitute that in:
tan(t) * cot(t) = -1
Finally, we can use the identity cot^2(t) = 1 + tan^2(t) to get:
tan(t) * (-1 / tan^2(t)) = -1
Simplifying further:
-1 / tan(t) = -1
tan(t) = 1
So, t = π/4 + nπ, where n is an integer.
The solution to the equation 1 + tan(t) / sin(t) = 0 is t = π/4 + nπ, where n is an integer. To arrive at this solution, we first simplified the equation by isolating the tangent term and using the identity cot^2(t) = 1 + tan^2(t).
Therefore, We then solved for the value of tangent that satisfies the equation, which is tan(t) = 1.
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To solve the equation 1 + tan(t) / sin(t) = 0, we need to manipulate the equation using trigonometric identity. However, there is no solution for the equation because it becomes undefined when sin(t) = 0.
Explanation:To find the exact simplified solution for the equation 1 + tan(t) / sin(t) = 0, we need to manipulate the equation using trigonometric identity.
Starting with the given equation, we can rewrite tan(t) and sin(t) in terms of sine using the identity tan(t) = sin(t) / cos(t). By substituting these values, we can simplify the equation and solve for t.In this case, there is no solution for the equation because the equation becomes undefined when sin(t) = 0.
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