The volume of the figure 3 is 1188 cubic meter.
1) Given that, height = 7 m and radius = 3 m.
Here, the volume of the figure = Volume of cylinder + Volume of hemisphere
= πr²h+2/3 πr³
= π(r²h+2/3 r³)
= 3.14 (3²×7+ 2/3 ×3³)
= 3.14 (63+ 18)
= 3.14×81
= 254.34 cubic meter
So, the volume is 254.34 cubic meter.
2) Given that, radius = 6 cm, height = 8 cm and the height of cone is 5 cm.
Here, the volume of the figure = Volume of cylinder + Volume of cone
= πr²h1+1/3 πr²h2
= πr² (h1+ 1/3 h2)
= 3.14×6²(8+ 1/3 ×5)
= 3.14×36×(8+5/3)
= 3.14×36×29/3
= 3.14×12×29
= 1092.72 cubic centimeter
3) Given that, the dimensions of rectangular prism are length=12 m, breadth=9 m and height = 5 m.
Here, volume = Length×Breadth×Height
= 12×9×5
= 540 cubic meter
Volume of triangular prism = Area of base × Height
= 12×9×6
= 648 cubic meter
Total volume = 540+648
= 1188 cubic meter
Therefore, the volume of the figure 3 is 1188 cubic meter.
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Based on the following survery results, what is the probability that somebody chose not chow mein as
their favorite food in simpliest form?
Favorite Food Responses:
pizza =19
steak = 8
chow mein =5
seafood =4
spaghetti =3
cereal=1
P(not chow mein)= ______
The probability that somebody chose not chow mein as their favorite food in simplest form is 7/8.
What is probability ?The probability of an event is described as a number that indicates how likely the event is to occur which is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%.
From the total responses see, the number of people who did not choose chow mein as their favorite food is found below:
19 + 8 + 4 + 3 + 1 = 35.
Therefore, Probability (not chow mein) = 35 / (19 + 8 + 5 + 4 + 3 + 1) = 35 / 40 = 7/8
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Is a square a cross section of a rectangular and triangular prism?
Answer:
No, a square is NOT the cross section of a rectangular and triangular prism.
Step-by-step explanation:
Prisms have a uniform cross-section and are named after their cross-section. Hence, the cross-section of a rectangular prism is a rectangle and the cross-section of a triangular prism is a triangle. The only prism with a square cross-section is a cube.
Which of the following is a valid conclusion based on the Venn diagram?
A.
Some items in C are also members of B.
B.
No items in A are members of B.
C.
If an item is not in C, the item is in B.
D.
All items in A are also in B.
Answer:
A. Venn Diagrams compare similarities and differences between topics.
Answer:
B.
No members of A are members of B.
Step-by-step explanation:
-3(x-4) = -9(x - 1)
X=?
Answer:
x = - 1/2
Step-by-step explanation:
-3(x-4) = -9(x - 1)
1. Distributive Property
-3 * x -3 *-4 = -9 * x -9 * -1
-3x + 12 = -9x + 9
Hint: 2 negatives make a postive
-3x + 12 = -9x + 9
2. Subtract 12 on both sides
-3x + 12 - 12 = -9x + 9 - 12
-3x = -9x + -3
3. Add 9x on both sides
-3x + 9x = -9x + 9x + -3
6x = -3
4. Divide both sides by 6 to isolate the variable
6x/6 = -3/6
x = - 1/2
Check:
-3(-1/2-4) = -9( -1/2- 1)
3/2 + 12 = 9/2 + 9
3/2 + 12 ( we need a common denominator so...lets make it 2 )
3/2 + 12*2/1*2
3/2 + 24/2 = 27/2 = 13 1/2 = 13. 5
Now...
9/2 + 9 ( we need a common denominator so..lets make it 2 )
9/2 + 9*2/1*2
9/2 + 18/2 = 27/2 = 13 1/2 = 13.5
13.5 = 13.5 CORRECT!
27/2 = improper fraction
13 1/2 = mixed number
13.5= decimal form
Hope this helped
What is 1/2(12y - 4 + 6c) simplified
Answer:
4⋅(3y−1)
Step-by-step explanation:
The construction of two science laboratories at Eduvos that have the capacity to carry 100 students each. The construction of each lab will cost R2 million in total, which includes installation of top of the range equipment and air conditioning. The construction should be done from 1 December 2022 to 31 January 2023 during the students’ vacation period. Write a ToF TO OFFICIALLY INITIATE The project. Your report should detail how each knowledge areas will be managed:
Human Resources
Procure management
Quality management
To officially initiate the project for constructing two science laboratories at Eduvos, the report should outline the management approach for three knowledge areas: Human Resources, Procurement Management, and Quality Management.
Human Resources Management: The report should describe how the project will handle human resources. This includes identifying the required skills and competencies for the project team, developing a staffing plan, and defining roles and responsibilities. It should outline the process for recruiting and selecting team members, as well as strategies for managing and motivating the team throughout the project. Additionally, the report should address any training or development needs to ensure the team is equipped to successfully complete the construction project.
Procurement Management: The report should outline the approach for procurement management. This involves identifying the necessary materials, equipment, and services required for the construction project. It should specify the procurement process, including vendor selection criteria, bidding procedures, and contract negotiation. The report should also address the manarisks or criteria of supplier relationships, monitoring of deliveries, and handling any procurement-related risks or issues that may arise during the project.
Quality Management: The report should detail the quality management plan for the construction project. This includes defining quality objectives, standards, and metrics to ensure that the laboratories meet the required specifications. It should outline the processes for quality assurance, such as inspections, testing, and verification of workmanship. The report should also address quality control measures to monitor and address any deviations from the defined standards. Additionally, it should include strategies for continuous improvement and the resolution of quality-related issues throughout the project.
By providing a comprehensive overview of the management approaches for Human Resources, Procurement, and Quality, the report sets the foundation for successfully initiating the construction project and ensuring its smooth execution.
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Expand: (1 + 6x)(1 - 6x)
Answer:
6 x(6x)+6x*-1+1(6x)+1*-1 SIMPLIFIED: 36x^2-1
Step-by-step explanation:
Use foil and distributive property
if a and b are independent events with p(a) = 0.65 and p(a ∩ b) = 0.26, then, p(b) =
The chance of the event B is 0.4 when using the probability for the two independent two event formula.
In the given question, if a and b are independent events with p(a) = 0.65 and p(a ∩ b) = 0.26, then we have to find the value of p(b).
Events classified as independent do not depend on other events for their occurrence.
Event A's likelihood of happening is P(A)=0.65.
The likelihood of the two events A and B intersecting is P(A∩B)=0.26.
Given that the likelihood of the two independent events is:
P(A∩B) = P(A)⋅P(B)
Then the probability of the event B will be,
P(B) = P(A)/P(A∩B)
P(B) = 0.65/0.26
P(B) =0.4
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one in every 9 people in a town vote for party a. all others vote for party b. how many people vote for party b in a town of 810?
If one in every 9 people in the town vote for party A, then the remaining 8 out of 9 people would vote for party B. Therefore, we can calculate the number of people who vote for party B by multiplying the total number of people in the town by 8/9.
So, in a town of 810 people, 720 people would vote for party B, while the remaining 90 people would vote for party A.
In a town of 810 people, one in every 9 people votes for party A, and all others vote for party B. To find the number of people voting for party B, first, calculate the number of people voting for party A: 810 / 9 = 90 people. Since the remaining people vote for party B, subtract the number of party A voters from the total population: 810 - 90 = 720 people. or 810 x (8/9) = 720. Therefore, 720 people in the town vote for Party B.
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GAMES- two friends are playing a game with a 20 sided dye that has all of the letters of the alphabet except Q U V X Y and Z. What is the probabilty that the dye will land on a vowel?
The probability of the die landing on a vowel is 1 in 5, or 20%.
In this game, the 20-sided die has the letters A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, R, S, T, and W. To calculate the probability of the die landing on a vowel, we need to identify the vowels present on the die and then determine the probability.
The vowels on this die are A, E, I, and O. There are 4 vowels out of the 20 possible outcomes, so the probability of landing on a vowel can be calculated by dividing the number of successful outcomes (vowels) by the total number of possible outcomes (20 sides).
Probability = (Number of Vowels) / (Total Sides)
Probability = 4 / 20
Now, simplify the fraction:
Probability = 1 / 5
The probability of the die landing on a vowel is 1 in 5, or 20%.
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simplify
5/8 divide by 5/6
Answer: 3/4
Step-by-step explanation:
See attached work. Remember when dividing fractions, you must multiply by the reciprocal of the second fraction.
a) Using a 2-year moving average, the forecast for year 6= miles (round your response to the nearest whole number). b) If a 2-year moving average is used to make the forecast, the MAD based on this = miles (round your response to one decimal place). (Hint: You will have only 3 years of matched data.) c) The forecast for year 6 using a weighted 2-year moving average with weights of 0.40 and 0.60 (the weight of 0.60 is for the most recent period) =3,740 miles (round your response to the nearest whole number). The MAD for the forecast developed using a weighted 2-year moving average with weights of 0.40 and 0.60= miles (round your response to one decimal place). (Hint: You will have only 3 years of matched data.) d) Using exponential smoothing with α=0.20 and the forecast for year 1 being 3,100 , the forecast for year 6=3,468 miles (round your response to the nearest whole number).
a) The forecast is approximately miles. b) the Mean Absolute Deviation (MAD) based on the forecast is approximately miles. c) The forecast for year 6 is approximately miles. d) the last forecast is 3,468 miles.
a) To calculate the forecast for year 6 using a 2-year moving average, we take the average of the mileage for years 5 and 4. This provides us with the forecasted value for year 6.
b) The Mean Absolute Deviation (MAD) for the 2-year moving average forecast is calculated by taking the absolute difference between the actual mileage for year 6 and the forecasted value and then finding the average of these differences.
c) When using a weighted 2-year moving average, we assign weights to the most recent and previous periods. The forecast for year 6 is calculated by multiplying the mileage for year 5 by 0.40 and the mileage for year 4 by 0.60, and summing these weighted values.
The MAD for the weighted 2-year moving average forecast is calculated in the same way as in part b, by taking the absolute difference between the actual mileage for year 6 and the weighted forecasted value and finding the average of these differences.
d) Exponential smoothing involves assigning a weight (α) to the most recent forecasted value and adjusting it with the previous actual value. The forecast for year 6 is calculated by adding α times the difference between the actual mileage for year 5 and the previous forecasted value, to the previous forecasted value.
In this case, with α=0.20 and a forecast of 3,100 miles for year 1, we perform this exponential smoothing calculation iteratively for each year until we reach year 6, resulting in the forecasted value of approximately 3,468 miles.
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What is the ratio DE of the length of to the length of BC?
Answer:
1:4
Step-by-step explanation:
so we are comparing the arc lengths to get the ratio of DE:BC
\( \beta \div 360 \times 2 \times \pi \times r\)
to get arc length BC as
\( \beta \times \pi \times r \div 90\)
and for DE as
\( \beta \times \pi \times r \div 360\)
so divide DE by BC where beta pi r will cancel out. and you remain with 1/4 Wich will translate to 1:4
1+costheta+sintheta^2/sintheta(1+costheta)=tantheta
Answer:
What is the question?
Step-by-step explanation:
There were some people on a train.
18 people get off the train at the first stop and 21 people get on the train.
Now there are 65 people on the train.
How many people were on the train to begin with?
Answer:
62
Step-by-step explanation:
let there be X people in the beginning
so
X-18+21=65
X+3=65
X=65-3
X=62
. estimate a regression equation for sales as a function of population, advertising in the current year, and advertising in the previous year. can you expect predictions of sales in future years to be very accurate if they are based on this regression equation? explain.
It's also worth noting that there may be other factors that impact sales that are not included in the regression equation. For example, changes in consumer preferences, economic conditions, or competition from other businesses could all have an impact on sales that is not captured by the variables included in the equation.
So while a regression equation can be a useful tool for predicting sales, it's important to keep in mind that it's not a perfect predictor and should be used in conjunction with other information and analysis. To estimate a regression equation for sales as a function of population, advertising in the current year, and advertising in the previous year, you would need to gather data on sales, population, and advertising expenditures for both the current and previous years. Once you have this data, you can use regression analysis to determine how much of the variation in sales can be explained by population and advertising. As for whether or not predictions of sales in future years would be very accurate based on this regression equation, it really depends on how well the equation fits the data.
If the equation has a high R-squared value (meaning that a large percentage of the variation in sales can be explained by the independent variables), then predictions based on the equation are likely to be more accurate. However, if the equation has a low R-squared value, then predictions based on the equation may not be very accurate.
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Which expression does not belong with the other three? Explain your responding.
l 9 l
-9
9
l -9 l
please help due today
Answer:
15
Step-by-step explanation:
Let the smallest integer be x. The integers will be x, x+1, x+2, all the way up to x+6.
119 = 7x + (1+2+3+4+5+6)
119 = 7x + 21
7x = 98
x = 14
The second smallest integer will be x+1, so x+1 = 15.
|x+9|=7 solve for x.....
Answer:
x = -2 or x = -16
Step-by-step explanation:
We need to find the absolute value of x and to do that we need to follow the below process:
|x+9| = 7 get rid of brakes
x+9 = 7 or x+9 = -7
if
x+9 = 7 subtract 9 from both sides
x = -2
if
x+9 = -7 subtract 9 from both sides
x = -16
Convert 43.81 ounces to grams
16 ounces = 1 pound
1 kilogram ≈ 2.2 pounds
Round your answer to the nearest hundredth
Answer:
1241.99
Step-by-step explanation:
1241.993 grams is the original answer but rounded to the nearest hundred is 1241.99
Please help!!!!!!!
Anyone help!
x=7
Step-by-step explanation:
median is the middle no.=6 and x
it will be 6+x=13
take 6 to the other side=7, hence x=7
Es el valor de la incógnita en la siguiente igualdad: x/Sen30°= 8/Sen45°
Respuesta:
x = 5.656854249
Explicación paso a paso:
[NOTA: Solo quería disculparme de antemano por cualquier mala gramática, ya que estoy usando un traductor para esto.]
x/Sen30°= 8/Sen45° [Multiplica ambos lados por Sen30°]
x = (8/Sen45°) * Sen30° [Resuelve usando una calculadora]
x = 5.656854249
The domain of f is therange of f^-1, and the_____ of f^ −1 is the range of f.Pre-calculus
The domain of f is the range of f^-1, and the domain of f^ −1 is the range of f.
The domain of a function f consists of all possible input values that can be used as arguments for f to generate output values.
If we consider the inverse function of f, denoted as f^−1, it will swap the roles of the input and output values of f. In other words, if f(x) = y, then f^−1(y) = x.
Therefore, the domain of f^−1 is equal to the range of f, which consists of all possible output values generated by f for any valid input value. This is because any output value of f can be used as an input value for f^−1.
Similarly, the range of f^−1 is equal to the domain of f, which consists of all possible input values that can be used as arguments for f to generate output values. This is because any valid input value of f can be used as an output value for f^−1.
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-2 + 1/2 what is the answer
Answer:
-1 1/2
Step-by-step explanation:
1/2 is positive and - 2 is negative
Ricky is taking out a personal loan for $12,000 to remodel his kitchen. He would like the lowest monthly payment possible, even if it means a bigger finance charge in the end. His bank has offered him a loan at 13% interest for 36 months or 12% interest for 60 months, both of which are compounded monthly. Which of the following statements most accurately describes what Ricky should be thinking?
a.
More payments with the 60 month loan will give him the lowest monthly payment.
b.
Fewer payments with the 36 month loan will give him the lowest monthly payment.
c.
The 60 month loan comes with a bigger finance charge and, thus, a bigger monthly payment.
d.
The 36 month loan comes with a bigger finance charge and, thus, a bigger monthly payment.
Please select the best answer from the choices provided
A
B
C
D
Answer:
the correct answer is: a. More payments with the 60 month loan will give him the lowest monthly payment.
Step-by-step explanation:
Hope this help :) LMK
Fewer payments with the 36 monthly loan will give him the lowest monthly payment.
Option B is the correct answer.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P (1 + r/n)^{nt}
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
Ricky should choose the 36-month loan at 13% interest, which has a higher interest rate but a shorter repayment period.
This means that he will have fewer payments to make, which will result in a lower monthly payment.
The 60-month loan may have a lower interest rate, but the longer repayment period will result in a larger finance charge and a higher monthly payment.
Thus,
Fewer payments with the 36 monthly loan will give him the lowest monthly payment.
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The following table gives information on GPAs and starting salaries (rounded to the nearest thousand dollars) of seven recent col- lege graduates.
GPA 2.90 3.81 3.20 2.42 3.94 2.05 2.25
Starting salary 48 53 50 37 65 32 37
Construct a 98% confidence interval for the mean starting salary of recent college graduates with a GPA of 3.15. Construct a 98% predic- tion interval for the starting salary of a randomly selected recent college graduate with a GPA of 3.15.
We can be 98% confident that the true mean starting salary of recent college graduates with a GPA of 3.15 lies between $36,540 and $55,740.
We can be 98% confident that the starting salary of a randomly selected recent college graduate with a GPA of 3.15 lies between -$32,080 and $124,360.
First, we need to calculate the sample mean, which is the average starting salary of the seven college graduates given:
sample mean = (48 + 53 + 50 + 37 + 65 + 32 + 37) / 7 = 46.14 thousand dollars
Next, we need to calculate the standard error. The sample standard deviation is calculated as follows:
s = √[((48-46.14)² + (53-46.14)² + (50-46.14)² + (37-46.14)² + (65-46.14)² + (32-46.14)² + (37-46.14)²) / 6] = 11.36 thousand dollars
The square root of the sample size is calculated as:
√(7) = 2.65
So, the standard error is:
standard error = 11.36 / 2.65 = 4.28 thousand dollars
Finally, we need to find the t-value for a 98% confidence level and 6 degrees of freedom (sample size - 1). We can use a t-table or a calculator to find this value, which is approximately 2.447.
Now we can plug in all the values into the formula to get the confidence interval:
Confidence interval = 46.14 ± 2.447 * 4.28 = (36.54, 55.74)
The t-value and standard error are calculated in the same way as in the confidence interval, but we also need to calculate the sample standard deviation, which is the square root of the variance:
variance = [(48-46.14)² + (53-46.14)² + (50-46.14)² + (37-46.14)² + (65-46.14)² + (32-46.14)² + (37-46.14)²] / 6
= 1315.43 thousand dollars squared
sample standard deviation = √(variance) = 36.26 thousand dollars
Now we can plug in all the values into the formula to get the prediction interval:
Prediction interval = 46.14 ± 2.447 * 4.28 ± 2.447 * 36.26 = (-32.08, 124.36)
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The following map shows the time it takes to drive between four cities in Texas. Jacob has to drive from San Antonio to Houston, and then from Houston to Dallas. How many hours will it take him?
7,2/12 , hours
7 hours
7,5/12 , hours
4,7/12 , hours
Thus, It takes Jacob a total of hours from San Antonio to Houston and then from Houston to Dallas 7 5/12 hours.
Define about the mixed fractions:A mixed number combines a proper fraction and a whole number. To express a quantity higher than a but that less than the next whole number, mixed numbers as well as mixed fractions are utilised. Improper fractions can be used to create mixed numbers.
Given that:
Time : San Antonio to Houston = 3 1/3 hoursTime: Houston to Dallas = 4 1/12 hoursConvert the given mixed fraction into proper fractions:
San Antonio to Houston = 3 1/3 hours
= (3*3 + 1)/3 hours
= (9 + 1)/3 hours
= 10/3 hours
Now,
Houston to Dallas = 4 1/12 hours
= (4*12 + 1)/12 hours
= (48 + 1)/12 hours
= 49/12 hours
Total time from San Antonio to Dallas = San Antonio to Houston + Houston to Dallas
Total time from San Antonio to Dallas = 10/3 + 49 / 12
Taking LCM:
Total time from San Antonio to Dallas = (10*4 + 49)/12
Total time from San Antonio to Dallas = (40 + 49)/12
Total time from San Antonio to Dallas = 89/12
Total time from San Antonio to Dallas = 7 5/12 hours
Thus, It takes Jacob a total of hours from San Antonio to Houston and then from Houston to Dallas 7 5/12 hours.
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Simplify the algebraic expression:
14 - 3m + 2m - 10 - 5m
Answer:
\(14-3m+2m-10-5m\)\(--> -3m+2m-5m+14-10\)\(--> -6m+4\)
Step-by-step explanation:
Answer:
0m - 4
Step-by-step explanation:
What is the range of 10,13,14,15,17,18,20,30,35
Given
The data is given
10,13,14,15,17,18,20,30,35
Change 18° into sexagesimal seconds.
Answer:
She's, "HOT"!
Step-by-step explanation: