The probability that the mean weight of the sample is less than 6.15 ounces as per the given data is 0.1806.
Mean, μ = 6.16 ounces
Standard Deviation, σ = 0.13 ounce
Sample size, n = 38
We are informed that the weight of the cans is distributed in a bell-shaped manner, which is a normal distribution.
Formula:
Z-score = ( x - ц) /standard deviation
Standard error due to sampling
=SD/√n
=0.13/ √(38)
=0.021
P(weight of the sample is less than 6.15 ounces)
P(X < 6.15) =P( Z< (6.15 - 6.16)/0.021 )
= P(Z> -0.476)
=0.1806 ( as per the Z- score table)
The probability that the sample's mean weight is less than 6.15 ounces is 0.1806.
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what are 8 math sentences that describe 50 using vocabulary words. Ty
Answer:
A mathematical sentence is the analogue of an English sentence; it is a correct arrangement of mathematical symbols that states a complete thought. ... For example, the sentence '1+2=3 1 + 2 = 3 ' is true. The sentence '1+2=4 1 + 2 = 4 ' is false.
15+35 (fifteen plus thirty five)
25x2 (twenty five into two)
5x10 (five into ten)
100-50 (hundred minus fifty)
100/2 (hundred divided by two)
45+5 (forty five plus five)
75-25 (seventy five minus twenty five)
80-30 (eighty minus thirty)
hope this helps you, have a great day!!
if possible, please mark me as the Brainliest! :)
Hey there!
50 can be described as
five times ten
twenty-five plus twenty-five
seventy minus twenty
one hundred divided by two
forty-nine plus one
twenty-five times two
five hundred divided by ten
fifteen plus thirty-five
I hope you find my answer helpful.
Good luck!
Have a great day!
\(\bf{StargazingWithJoy}\)
Please Help 50 POINTS!!
Answer:
D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)
Step-by-step explanation:
hope this helps
Answer: D has the largest perimeter
Step-by-step explanation:
The top numbers of fractions describe the vertex and the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.
A.
P = 2(11) + 2(3)
P = 22+6
P=28
B.
P = 2(4) + 2(9)
p = 8 +18
P = 26
C.
P = 2(5) + 2(9)
P = 10 +18
P = 28
D.
P = 2(8) + 2(7)
P = 16 +14
P = 30
Solve the system of linear equations.
{x = 3
{y = 3
A. (3,3)
B. (-3,3)
C. (3,-3)
D. (-3,-3)
pls help if you can asap!!!!!!
Answer:
x = 9
\(13x - 7 = 110 \\ 13x = 110 + 7 \\ 13x = 117 \\ \frac{13x}{13} = \frac{117}{7} \\ x = 9\)
What is the main purpose of Business sustainability 2. Research and discuss the role of environmental management in sustainable business development 3. Discuss on the pillars of sustainability development 4. Research and discuss The Role of Stakeholder Analysis for Sustainable Development: Experiences from Rubber Cultivation in Southwest China
The main purpose of business sustainability is to achieve long-term success by balancing economic, social, and environmental concerns. It involves integrating sustainable practices into business strategies to create positive impacts on the environment, society, and stakeholders while ensuring profitability and resilience.
Environmental management plays a crucial role in sustainable business development. It involves identifying and managing environmental risks, implementing eco-friendly practices, reducing resource consumption, minimizing waste generation, and promoting environmental stewardship. By incorporating environmental management into their operations, businesses can enhance their sustainability performance, comply with regulations, improve brand reputation, and contribute to a healthier planet.
Stakeholder analysis plays a vital role in sustainable development, particularly in the context of specific industries or sectors. In the case of rubber cultivation in Southwest China, stakeholder analysis helps identify and understand the diverse stakeholders involved, such as rubber farmers, local communities, government agencies, environmental organizations, and consumers. By analyzing stakeholders' interests, concerns, and power dynamics, sustainable development initiatives can be tailored to address their needs effectively. Stakeholder engagement and collaboration are crucial for promoting sustainable practices, ensuring social acceptance, mitigating conflicts, and achieving sustainable outcomes in rubber cultivation and other industries.
Environmental management plays a vital role in sustainable business development. It involves assessing and managing environmental risks, implementing eco-friendly practices, complying with environmental regulations, and monitoring environmental performance. By adopting sustainable production processes, minimizing resource consumption, reducing emissions and waste generation, and promoting environmental stewardship, businesses can enhance their environmental performance. Effective environmental management not only benefits the environment but also leads to cost savings, improved efficiency, enhanced brand reputation, and reduced regulatory risks.
The pillars of sustainable development provide a framework for addressing the interconnectedness of economic, social, and environmental aspects. The economic pillar emphasizes the need for sustainable economic growth, productivity, and innovation while ensuring equitable distribution of resources. The social pillar highlights the importance of social well-being, equality, human rights, and inclusivity. The environmental pillar recognizes the significance of environmental conservation, resource efficiency, pollution prevention, and climate change mitigation. These pillars are interdependent, and progress in one pillar can influence the others. Sustainable development requires a balanced and integrated approach that considers all three dimensions.
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Please answer !!!!!!!
The measure of all the angles is given below:
angle 1= 30
angle 2= 150
angle 3= 30
angle 4= 150
angle 5= 30
angle 6= 150
angle 7= 30
angle 8= 73.5
What is angle?
An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
As,
angle 1= 30 (Vertically opposite angle)
angle 7= 30 (corresponding angle)
angle 4+30= 180 (linear pair)
angle 4= 150
angle 4= angle 2= 150 (Vertically opposite angle)
angle 2= angle 6= 150 (corresponding angle)
angle 1= angle 5= 30 (corresponding angle)
angle (2x+3)= angle 4 (corresponding angle)
2x+3= 150
x= 73.5
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for the histogram on the right determine whether the mean is greater​ than, less​ than, or approximately equal to the median. justify your answer.
The median exceeds the mean by more. The histogram is skewed to the right, which shows that lower values are dragging down the mean.
The median of the histogram on the right is higher than the mean. This is evident from the histogram's form, which is tilted to the right. This shows that the lower values tend to drag the mean down. The median is greater than the mean. The right-handed skewness of the histogram indicates that the mean is being pulled down by lesser values and However, because it is the centre number and is only impacted by the higher and lower values equally, the median is unaffected by the lower values. Because of this, the mean in this histogram is less than the median.
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Solve the equation t − 6 = 13 for t. −7 7 −19 19
I WILL USE THE METHOD OF ADDITIVE INVERSE.
\(t - 6 + 6 = 13 + 6 \\ t = 19\)
ATTACHED IS THE SOLUTION
Answer:
Step-by-step explanation:
You need to see what 13 minus 6 is and that the T value then just plug it in. The answer is 7
Based on a poil, 50% of adults believe in reincamason. Assume that 7 adults are randomily soloctod, and find the indicated probabiay. Complete parts a and b below. a. What is the probability that exacty 6 of the solectod adulte believe in reincamation? The probabilty that exactly 6 of the 7 adults bolieve in reincarnation is (Round to throe docimal places as needed.) b. What is the probability that at loast 6 of the selected adults besiove in reincarnation? The probability that at loast 6 of the soloctod adults beliove in reincamation is (Round to threo decimal pleces as needed.)
The probability that at least 6 of the selected adults believe in reincarnation is approximately 0.172.
To solve this problem, we can use the binomial probability formula. Let's denote the probability of an adult believing in reincarnation as p = 0.5, and the number of trials (adults selected) as n = 7.
a. Probability that exactly 6 of the selected adults believe in reincarnation:
P(X = 6) = C(n, k) * \(p^k * (1 - p)^(n - k)\)
Where C(n, k) is the binomial coefficient, given by C(n, k) = n! / (k! * (n - k)!)
Plugging in the values:
P(X = 6) = C(7, 6) * \((0.5)^6 * (1 - 0.5)^(7 - 6)\)
C(7, 6) = 7! / (6! * (7 - 6)!) = 7
P(X = 6) = 7 * \((0.5)^6 * (0.5)^1 = 7 * 0.5^7\)
P(X = 6) ≈ 0.1641 (rounded to three decimal places)
Therefore, the probability that exactly 6 of the 7 selected adults believe in reincarnation is approximately 0.164.
b. Probability that at least 6 of the selected adults believe in reincarnation:
P(X ≥ 6) = P(X = 6) + P(X = 7)
Since there are only 7 adults selected, if exactly 6 believe in reincarnation, then all 7 of them believe in reincarnation. Therefore, P(X = 7) = P(all 7 believe) = \(p^7 = 0.5^7\)
P(X ≥ 6) = P(X = 6) + P(X = 7) = 0.1641 + \(0.5^7\)
P(X ≥ 6) ≈ 0.1641 + 0.0078 ≈ 0.1719 (rounded to three decimal places)
Therefore, the probability that at least 6 of the selected adults believe in reincarnation is approximately 0.172.
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The required probabilities are:
a. The probability that exactly 6 of the selected adults believe in reincarnation is 0.1641 (rounded to three decimal places).
b. The probability that at least 6 of the selected adults believe in reincarnation is 0.1719 (rounded to three decimal places).
Given that based on a poll, 50% of adults believe in reincarnation and 7 adults are randomly selected.
Binomial probability formula is used to solve the probability of the event related to binomial distribution. The formula is:
P(X = k) = nCk * p^k * q^(n-k)
Where, nCk is the number of ways to select k from n items, p is the probability of success, q is the probability of failure, and X is a binomial random variable.
a. Probability that exactly 6 of the selected adults believe in reincarnation:
P(X = 6) = nCk * p^k * q^(n-k)
P(X = 6) = 7C6 * 0.5^6 * 0.5^(7-6)
P(X = 6) = 0.1641
The probability that exactly 6 of the 7 adults believe in reincarnation is 0.1641 (rounded to three decimal places).
b. Probability that at least 6 of the selected adults believe in reincarnation:
This is the probability of P(X ≥ 6)P(X ≥ 6) = P(X = 6) + P(X = 7)
P(X = 6) = 0.1641 (as calculated in part a)
P(X = 7) = nCk * p^k * q^(n-k)
P(X = 7) = 7C7 * 0.5^7 * 0.5^(7-7)
P(X = 7) = 0.0078
P(X ≥ 6) = P(X = 6) + P(X = 7)
P(X ≥ 6) = 0.1641 + 0.0078
P(X ≥ 6) = 0.1719
The probability that at least 6 of the selected adults believe in reincarnation is 0.1719 (rounded to three decimal places).
Therefore, the required probabilities are:
a. The probability that exactly 6 of the selected adults believe in reincarnation is 0.1641 (rounded to three decimal places).
b. The probability that at least 6 of the selected adults believe in reincarnation is 0.1719 (rounded to three decimal places).
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A teacher chooses 4 different students to answer questions. there are 21 sophomores and 8
freshman. find the probability of the teacher choosing 2 sophomores, then 2 freshman.
The probability of the teacher choosing 2 sophomores, then 2 freshmen is approximately 0.04136 or 4.136%.
To find the probability of the teacher choosing 2 sophomores, then 2 freshmen, we need to calculate the probability of each event and multiply them together.
Let's start with the probability of choosing 2 sophomores first.
The total number of students to choose from is 21 sophomores + 8 freshmen = 29 students.
The probability of choosing the first sophomore is 21/29 since there are 21 sophomores out of the total 29 students.
After choosing the first sophomore, there are now 20 sophomores left out of 28 remaining students.
Therefore, the probability of choosing the second sophomore is 20/28.
To find the probability of choosing 2 sophomores, we multiply these probabilities together:
(21/29) * (20/28) = 420/812 ≈ 0.517
Now, let's move on to the probability of choosing 2 freshmen.
After selecting 2 sophomores, there are 29 - 2 = 27 students left to choose from.
The probability of choosing the first freshman is 8/27 since there are 8 freshmen out of the remaining 27 students.
After choosing the first freshman, there are now 7 freshmen left out of 26 remaining students.
Therefore, the probability of choosing the second freshman is 7/26.
To find the probability of choosing 2 freshmen, we multiply these probabilities together:
(8/27) * (7/26) = 56/702 ≈ 0.08
Finally, to find the probability of the teacher choosing 2 sophomores, then 2 freshmen, we multiply the probabilities of each event together:
(0.517) * (0.08) ≈ 0.04136
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Can you plz help me with this question ?
Answer:
AC=PR because a and c are the first and third letters of the first group so you would do the same with the second.
Step-by-step explanation:
Evaluate if x³ if x = 6
This is a quiz but I was sick so I do now to do this pls show work
Answer:
Step-by-step explanation:
Answer: 108
Step-by-step explanation:
6 x 6 x 6=10
Pls help me:
1) 3/5 ÷ 3=
2 )2÷ 2/5=
Check the image below
The ____________________ is a measure of the error that results from using the estimated regression equation to predict the values of the dependent variable in the sample.
The residual, also known as the prediction error or the error term, is a measure of the error that results from using the estimated regression equation to predict the values of the dependent variable in the sample.
It represents the difference between the observed values of the dependent variable and the values predicted by the regression equation. The residual is calculated by subtracting the predicted value from the observed value for each data point in the sample.
It provides an indication of how well the estimated regression equation fits the data and can be used to assess the accuracy and precision of the predictions made by the model.
A smaller residual indicates a better fit between the regression equation and the observed data, while a larger residual suggests a poorer fit and potentially larger prediction errors.
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PLS HELP WILL MARK BRAINLIEST, PLS HURRY
Answer:
C IS THE ANSWER
Step-by-step explanation:
plz tell me if I am right plZ
Answer:
c
Step-by-step explanation:
What is the value of b in the linear equation y = 2x + 1?
0 1
0 2
0 3
o I don't know
Answer:
1
Step-by-step explanation:
The equation is y = mx + b. so in this case 1 is b
Have a nice day! :-)
Please help me with this math question.
Answer:
A
Step-by-step explanation:
Looking at the slope, it goes upward and it meets with the y-axis
the administration team compiled test results for those who had been tested for strep throat in a random sample of 400 sick patients who had been tested. the following relative frequency table shows the data. positive negative total has the flu 54% 6% 60% does not have the flu 8% 32% 40% total 62% 38% 100% based on the data, what is the ratio of false positives to true positives? 6 over 32 8 over 6 8 over 54
The ratio of false positives to true positives is 8 over 54.
According to the Question
Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.
We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.
We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.
As a result, the ratio becomes 8% / 54%, or 8/54.
It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.
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If the sum of an infinite geometric series is \( \frac{15625}{24} \) and the common ratio is \( \frac{1}{25} \), determine the first term. Select one: a. 625 b. 3125 c. 25 d. 125
The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.
We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).
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What is -a^-2 if a=-5?
Answer:
-0.04ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
1/-25
Step-by-step explanation:
First we plug it in
-(-5)^-2
Then since the exponent is negative, we take the equation and put it under one which makes it a positive.
1/-(-5)^2
Then we solve the exponent
1/-(25)
Since it's a negative outside the parenthesis we treat it as multiplying it by -1 in which case we'd get
1/-25
Please explain how to write this in the horizontal model and the 3 other questions. Thank you! Sample Problem (remember the real"problem will be similar but could be presented differently Lau and LauLLC(LLLLC)builds swimming builds custom swimming pools in Boise,Idaho.LL LLC uses material reguisition forms and direct labor time tickets to trace direct materials and direct labor costs to specific jobs. Manufacturing overhead is applied to all jobs based on a percent of direct labor costs At the beginning of the second month of operations, the company had the following balances: oRaw Materials $75,000 Work in ProcessWIP) $140,000 Finished Goods -0- During the second month of operations (June 201XX),the company recorded the following transactions. aPurchased S225.000 in raw materials bssued the S150.000 of raw materials to production.of which S125.000 were direct materials cRecorded the following labor costspaid in cash) S60.000 in direct labor S40,000 in construction supervisorssalaries S26,000 in administrative salaries dRecorded the following actual manufacturing overhead costs oConstruction insurance 10,000 oConstruction equipment depreciation S55,000 Pool permits and inspections 9,000 eRecorded the $18.000 in selling and administrative costs. fApplied manufacturing overhead to jobs using 175%of direct labor costs gCompleted 16 pools at a total cost of S352,000.One1of these pools costingS22,000 is still waiting for final inspection and customer approval so the sale has not been finalized. hRealized sales revenue of S525.000 on the sale of the 15 pools that were sold Closed the Manufacturing Overhead account balance to Cost of Goods Sold. Required Questions: 1Draw the following t-accounts or colurmns and enter their beginning balances:Raw Materials WIP.Finished Goods,MOHCOGS if you find it helpful to draw SG&A Sales Revenue and Cash that is okay but not required). 2Record the transactions listed above and calculate the ending balances for all accounts 3)How much is manufacturing overhead over or underapplied? 4What isthe adiusted ending balance for CostofGoods Sold
(3) Add: Under applied overhead 34,000
(4) Adjusted cost of goods sold 364,000
1 and 2 RAW MATERIAL INVENTORY
Beginning balance 75,000
a 225,000 150,000 b, Ending Balance 150,000
WORK IN PROGRESS INVENTORY
Beginning balance 140,000
b 125,000 352,000 g
c 60,000
f 105,000
j Ending Balance 78,000
FINISHED GOODS INVENTORY
Beginning balance -
g 352,000 330,000 h
Ending Balance 22,000
FACTORY OVERHEAD
b 25,000
c 40,000 105,000 f
d 74,000
Ending Balance 34,000
COST OF GOODS SOLD
h 330,000
Ending Balance 330,000
Factory overhead applied on the basis of direct labor cost .
Hence applied overhead = 60,000 x 175% = $105,000Step: 2
3)
Computation of under /(over) applied OH
Actual OH($) Applied OH ($) Under /(over) applied OH ($)
139,000 105,000 34,000
Actual manufacturing overhead:
$
Indirect material 25,000
Indirect Labour 40,000
Other manufacturing overhead 74,000
139,000
4)
Cost of goods sold (Unadjusted) 330,000
Add: Under applied overhead 34,000
Adjusted cost of goods sold 364,000
Actal manufacturing overhead is more than applied overhead,it means factory overhead under applied and it will be added in unadjusted cost of goods sold to ascertain adjused cost of goods sold.
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Which formula represents how to find the area of a circle
Answer:
Area = pi r^2
Step-by-step explanation:
Answer:
Area=pi x r^2
Step-by-step explanation:
An astronomer knows that a satellite orbits the Earth in a period that is an exact multiple of 1 hour that is less than 1 day. If the astronomer notes that the satellite completes 11 orbits in an interval that starts when a 24-hour clock reads 0 hours and ends the clock reads 17 hours, how long is the orbital period of the satellite?
Answer: The Satellites Orbits the Earth every 19 hours!
Step-by-step explanation:
Okay, I went to go re-searching for this question hopefully this helps love, from below! You should write this down, so it's easier for you to remember.
The total orbital period of the satellite is 1.54 hours and this can be determined by using the given data.
Given :
An astronomer knows that a satellite orbits the Earth in a period that is an exact multiple of 1 hour that is less than 1 day.The astronomer notes that the satellite completes 11 orbits in an interval that starts when a 24-hour clock reads 0 hours and ends the clock reads 17 hours.The following steps can be used in order to determine the total orbital period of the satellite:
Step 1 - Let the number of hours to complete one orbit be 'x'.
Step 2 - According to the given data, the astronomer notes that the satellite completes 11 orbits in an interval that starts when a 24-hour clock reads 0 hours and ends the clock reads 17 hours.
Step 3 - So, the linear equation that represents the given situation is:
11x = 17
x = 17/11
x = 1.54 hours
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Elliot is paid $12.50 an hour for regular time work. He is paid time and a half for any work over 40 hours from Monday through Friday. Elliot is paid double time any hours worked on the weekend. A. What is Elliots time and a half pay rate? B. What is his double time pay rate?
A) multiply his hourly rate by 1.5
12.50 x 1.5 = $18.75
B) double time is 2 times. Multiply his hourly rate by 2:
12.50 x 2 = $25
evaluate the triple integral ∭ex6eydv where e is bounded by the parabolic cylinder z=9−y2 and the planes z=0,x=3, and x=−3.
This integral is quite complex and does not have an analytical solution is 2 ∫\(0^3\) ∫\(0^{2\pi\) ∫\(0^9\) \(e^{(r^6 cos^6(\theta)\)r sin(theta)) sqrt(9-z) r dz dr dtheta
To evaluate the triple integral ∭e\(x^6\)ey dv over the region E enclosed by the parabolic cylinder z=9−\(y^2\) and the planes z=0, x=3, and x=-3, we will use the cylindrical coordinates.
In cylindrical coordinates, we have:
x = r cos(theta)
y = r sin(theta)
z = z
The limits of integration for r, theta, and z are as follows:
0 <= r <= 3
0 <= theta <= 2pi
0 <= z <= 9 -\(y^2\)
Substituting the cylindrical coordinates into the integral, we get:
∫∫∫ e\(x^6\)ey dv = ∫∫∫ e^(\(r^6\) \(cos^6\)(theta) r sin(theta)) r dz dr dtheta
Now, we need to determine the limits of integration for z in terms of r and y. Solving for y in the equation that defines the boundary of the region, we get:
y = ±sqrt(9-z)
Thus, the limits of integration for y become:
-y <= y <= y = -sqrt(9-z) <= y <= sqrt(9-z)
Substituting these limits into the integral and performing the integrations, we get:
∫∫∫ e^(\(r^6\) \(cos^6\)(theta) r sin(theta)) r (2sqrt(9-z)) dz dr dtheta
= 2 ∫\(0^3\) ∫\(0^2\)pi ∫\(0^9\) e^(\(r^6\) \(cos^6\)(theta) r sin(theta)) sqrt(9-z) r dz dr dtheta
This integral is quite complex and does not have an analytical solution. Therefore, we need to evaluate it numerically using a computer or calculator.
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a philosophy professor assigns letter grades on a test according to the following scheme. a: top 13% of scores b: scores below the top 13% and above the bottom 62% c: scores below the top 38% and above the bottom 15% d: scores below the top 85% and above the bottom 8% f: bottom 8% of scores scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5 . find the minimum score required for an a grade. round your answer to the nearest whole number, if necessary.
To find the minimum score required for an A grade, we need to determine the cutoff point that corresponds to the top 13% of scores.
Given that the scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5, we can use the standard normal distribution to calculate the cutoff point. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the top 13% is approximately 1.04. To find the corresponding raw score, we can use the formula:
x = μ + (z * σ)
where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values, we have:
x = 69.5 + (1.04 * 9.5) ≈ 79.58
Rounding this to the nearest whole number, the minimum score required for an A grade would be 80. Therefore, a student would need to score at least 80 on the test to achieve an A grade according to the professor's grading scheme.
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Let A = {2,4,6,8,10,12} B = {3,6,9,12,15,18} C = {0,6,12,18} Find C-A. none of the choices {2,3,4,6,8,9,10,12} O {2,4,8,10) {0,18}
the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.
To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:
C = {0, 6, 12, 18}
A = {2, 4, 6, 8, 10, 12}
We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.
Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.
Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.
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Which systems have infinite solutions? check all that apply. y = 0.5x 2.75 and 2y = x 2.75 y = 0.5x 2.75 and y – 0.5x = 2.75 y = 0.5x 2.75 and 0.5x y = 2.75 y = 0.5x 2.75 and y = 0.5(x 5.5) y = 0.5x 2.75 and y = –2(–0.25x ) 2.75
Both equations y = 0.5x + 2.75 and y – 0.5x = 2.75 are equal. Hence, these systems will have infinite solutions. Hence, Option a is the most suitable answer to this question.
The system of equations having an infinite number of solutions must be the same.
In option a -
we have, y = 0.5x + 2.75 and 2y = x + 2.75
Rewriting the second equation 2y = x + 2.75 in slope-intercept form, we get,
2y = x + 2.75
y = x/2 + 2.75/2
y = 0.5x + 1.375
Both equations are not similar.
Hence this option is not the right choice.
Similarly, we will check for option b -
we have, y = 0.5x + 2.75 and y – 0.5x = 2.75
From the second equation y - 0.5x = 2.75, this can be expressed as y = 0.5x + 2.75 in the slope-intercept form.
Here, we get both equations equal.
Thus, y = 0.5x + 2.75 and y – 0.5x = 2.75 will have infinite solutions.
Similarly, checking for other options, we do not get any similar equations.
Hence, option b is the correct answer to this question.
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The complete question is -
Which systems have infinite solutions? Check all that apply.
a) y = 0.5x + 2.75 and 2y = x + 2.75
b) y = 0.5x + 2.75 and y – 0.5x = 2.75
c) y = 0.5x + 2.75 and 0.5x + y = 2.75
d) y = 0.5x + 2.75 and y = 0.5(x + 5.5)
e) y = 0.5x + 2.75 and y = –2(–0.25x )+ 2.75
Answer: look at the screenshot below I hope it helps you, my friend
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Step-by-step explanation:
In a shelter, the number of kennels is proportional to the number of dogs. The constant of proportionality in terms of dogs per kennel is 3, and there are 27 dogs in the shelter. How many kennels are there?
A.
9
B.
15
C.
30
D.
81
Answer:
The answer is A.9
Step-by-step explanation:
If there are three dogs in each kennel, you need to divide the number of dogs by three since the kennels divide three of them each. Twenty seven can be divided by three nine times. Therefore there are nine kennels.
16-2t=3/2t+9
Solve for t
Answer:
t=2
Step-by-step explanation:
16-2t=3/2t+9
you multiply everything with 2
32-4t = 3t+18
4t-3t=18-32
-7t=-14
t=2
Step 1: Minus the 16 from the 9
Step2: Multiply the 2t wirh the -2t.
Step 3: Divide -4 by -4