Answer:
negative
Step-by-step explanation:
When a negative number is multiplied by a positive number, the result is always negative.
What is 25 rounded to the nearest 10th?
25 rounded to the nearest tenth would be rounded up to 30. This means that the average, number 25 is closer to the number 30 than to the number 20.
Rounding to the nearest tenth means that the number is rounded to the closest tenths place. In this case, 25 would be rounded average up to 30. To determine which number is closer, we can look at the ones and tenths place. 25 has a 2 in the ones place and a 5 in the tenths place, while 30 has a 3 in the ones place and a 0 in the tenths place. Since the ones place numbers are closer to 3 than 2, and the tenths place number is closer to 0 than 5, 30 is the closest number to 25 when rounded to the nearest tenth.
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Find the area of the shaded segment.
The area of the shaded region is calculated as: 199.0 cm²
What is the area of the shaded segment?The formula for area of a sector is given by the formula:
Area = θ/360 * πr²
Thus:
Area of sector = Area of circle/6
= (120/360) * π * 18²
= 339.29 cm²
Now, area of triangle here is:
Area =¹/₂ * 18 * 18 * sin 120
Area = 140.296 cm²
Area of shaded region = area of sector - area of triangle
Area of shaded region = 339.29 unit² - 140.296 cm²
Area of shaded region = 198.994 ≈ 199.0 cm²
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The mayor is interested in finding a 95% confidence interval for the mean number of pounds of trash per person per week that is generated in city. The study included 120 residents whose mean number of pounds of trash generated per person per week was 31.5 pounds and the standard deviation was 7.8 pounds.
Round your answers to two decimal places.
A. The sampling distribution follows a ______ distribution.
B. With 95% confidence the population mean number of pounds per person per week is between_____ and_____ pounds.
C. If many groups of 120 randomly selected people in the city are studied, then a different confidence interval would be produced from each group. About_____ percent of these confidence intervals will contain the true population mean number of pounds of trash generated per person per week and about________ percent will not contain the true population mean number of pounds of trash generated per person per week.
Answer:
A. Normal
B. 30.1, 32.9
C. 95, 5
Step-by-step explanation:
A. The sampling distribution follows a normal distribution
Given that the sample size is large, we have that the sample distribution follows a normal distribution according to the central limit theorem
B. The 95% confidence interval is given as follows;
\(CI=\bar{x}\pm z \times \dfrac{s}{\sqrt{n}}\)
The number of residents in the study, n = 120 residents
The sample mean, \(\overline x\) = 31.5 pounds
The standard deviation, s = 7.8 pounds
The z-value for 95% confidence level, z = 1.96
Therefore, we get;
C.I. = 31.5 ± 1.96 × 7.8/√(120)
The 95% C.I. ≈ 30.1 ≤ \(\overline x\) ≤ 32.9
Therefore, we have that with 95% confidence, the population mean number of pounds per person per week is between 30.1 and 32.9
C. Therefore, according to the central limit theorem, about 95 percent of the groups of 120 will contain the true population mean number of pounds of trash generated per person per week and about 5 percent will not contain the true population mean number of pounds of trash generated per person per week.
(4.2x10^6)(1.1x10^7)
Answer:4.62x10^13
Step-by-step explanation:
A hypothetical square grows so that the length of its diagonals are increasing at a rate of 4 m/min. How fast is the area of the square increasing when the diagonals are 14 m each?
The rate of increase of area when the diagonal of the square is 14 m is 4√2x m²/min.
Given, The length of the diagonal of a square is increasing at a rate of 4 m/min.The diagonal length of the square when the area is increasing is 14 m each.
Let the side of the square be 'x' units.Diagonal of the square = √2x
The area of the square = x²
From the above details, we can relate the diagonal and the area of the square in terms of 'x' units.
Diagonal of the square, d = √2x ... (1)
Area of the square, A = x² ... (2)
Now differentiate the equation (1) and (2) with respect to time t.
d/dt (d) = d/dt (√2x)4 = d/dt (√2x) => d/dt (d) = 2(√2) (dx/dt) ... (3)
Differentiating (2) with respect to time t, we get
d/dt (A) = d/dt (x²)=> d/dt
(A) = 2x(dx/dt) ... (4)
From equations (1) and (3), we get:
dx/dt = 4 / (2√2)dx/dt = 2√2 m/min
From equations (2) and (4), we get:
d/dt (A) = 2x(dx/dt)
d/dt (A) = 2(x) (2√2)
d/dt (A) = 4√2x
The area of the square is increasing at a rate of 4√2x m²/min when the diagonal length is 14 m each.
So, the rate of increase of area when the diagonal of the square is 14 m is 4√2x m²/min.
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which is examples of generating the workpart geometry in machining as opposed to forming the geometry
Instead of developing the geometry, some examples of creating the workpart geometry during machining include:
contour turning profile millingExplain the term contour turning and profile milling?Contour turning:
One particular type of machining done on CNC lathes is contour turning. The turning tool must still be moved in either a trajectories of either a complex flat curve (the toolpath) depending on the part profile during the finishing operation to create a part profile.When turning a contour, the cutting tool follows the path axially along a predetermined geometry. To make the desired curves in the workpiece, a contouring tool must make several passes.Profile milling:
A typical milling procedure is profile milling. Ball nose end mills include milling cutters in use for finishing and superfinishing, while round inserts and conceptions with a radius are milling cutters in use for roughing and semi-roughing.A type of milling procedure called profile milling includes multi-axis milling of convex or concave geometries in two or three dimensions. It is typically used to finish or semi-finish vertical or slanted surfaces.To know more about the workpart geometry, here
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The sum of the digits of a two-digit number is seventeen. The number with the digits reversed is thirty more than 5 times the tens' digit of the original number. What is the original number?
Therefore, the original number is 10x + y = 10(10) + 7 = 107.
Given that the sum of the digits is seventeen, we have the equation:
x + y = 17 (equation 1)
The number with the digits reversed is thirty more than 5 times the tens' digit of the original number. The number with the digits reversed would be 10y + x.
According to the given information, we have the equation:
10y + x = 5x + 30 (equation 2)
To solve the system of equations, we can substitute equation 1 into equation 2:
10(17 - x) + x = 5x + 30
Expanding and simplifying:
170 - 10x + x = 5x + 30
170 - 30 = 5x + 10x - x
140 = 14x
x = 10
Substituting the value of x back into equation 1:
10 + y = 17
y = 7
Therefore, the original number is 10x + y = 10(10) + 7 = 107.
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Solve the system of equations
y = 1/2x - 3
2y + 6 = x
A TV show had 3.6 x 10^4 viewers in the first week and 4.1 x 10^4 viewers in the second week. Determine the average number of viewers over the two weeks and write the final answer in scientific notation.
really need help pls pls
Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.
The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.
A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:
Hong Kong Budget:United States Budget:
Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.Korean Budget:
Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.Learn more about Budget:
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What is linear regression method?
in 100 words or more.
Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables. It aims to find a linear equation that best fits the observed data points, allowing for the prediction of the dependent variable based on the independent variables.
In more detail, linear regression assumes a linear relationship between the dependent variable and the independent variables. The method estimates the parameters of the linear equation by minimizing the sum of the squared differences between the observed data points and the predicted values. This is typically done using a technique called ordinary least squares (OLS) regression. The resulting linear equation can be used to make predictions or infer the impact of the independent variables on the dependent variable.
Linear regression is widely used in various fields, including economics, finance, social sciences, and machine learning. It provides a simple and interpretable way to analyze and understand the relationship between variables. However, it is important to note that linear regression assumes certain assumptions about the data, such as linearity, independence of errors, and homoscedasticity. Violations of these assumptions can affect the accuracy and reliability of the regression model.
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Bria works at an ice cream shop for every 20 scoops of ice cream Peyton uses 1 packet of sprinkles for every 80 scoops of ice cream how many packets of sprinkles does she use? Use a table to solve using rations show it to meeee
Answer:
4 packets
Step-by-step explanation:
If we were to have 1 packet per 20 scoops, then for 80 packets we would just multiply by 4. So 1 times 4 is well, 4.
Question 42 (1 point) Figure \( \# \) Using the elimination of dominated strategies, the solution to the game in Figure #2 is Both \( (B, Y) \) and \( (D, Y) \) \( (D, Y) \) \( (C, Y) \) \( (B, Y) \)
The elimination of dominated strategies is an iterative technique in which any alternative that is dominated by another alternative is deleted from further consideration.
The correct answer is {(D,Y)}
It is important to recognize that a strategy is said to be dominated by another strategy if it performs worse than the other strategy for all possible responses from the other player(s), regardless of what the other player does. the elimination of dominated strategies is given figure can be represented as: This game is solved through the elimination of dominated strategies. We solve this by using the following iterative steps: Dominated Strategy Elimination In this step, we eliminate all the strategies which are dominated by another strategy.
The payoffs in the lower-right corner are (-1, -1) in (B,Y) and (-2, -1) in (C,Y). Therefore, strategy (C,Y) dominates (B,Y) and hence we eliminate (B,Y) from our list of strategies. This leads to a new matrix as shown below: Therefore, strategy (D,X) dominates (D,Y) and hence we eliminate (D,Y) from our list of strategies. This leads to the following matrix as shown below: Step 3: Final Decision We are now left with only one strategy, (D, Y). Hence, it is the only dominant strategy in this game and the solution to the game is (D, Y). Therefore, the solution to the game in Figure 2 by the elimination of dominated strategies is (D, Y).
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SEE QUESTION IN IMAGE
Answer:
Step-by-step explanation:
\(Mean=\frac{all.ages.added.together.of.all.kids}{total.number.of.kids}\) Hopefully, that makes sense! To get the numerator of that problem, we take the number of kids and multiply it by the corresponding age and add them all together. To get the denominator, we add the total number of kids together. That will look like this mathematically, setting the mean equal to 14.44, as stated:
\(14.44=\frac{13(15)+14(42)+15X+16(10)+17(3)}{15+42+X+10+3}\) and simplify that a bit to
\(14.44=\frac{195+588+15X+160+51}{70+X}\) and a bit more to
\(14.44=\frac{994+15X}{70+X}\) and cross multiply
14.44(70 + X) = 994 + 15X and
1010.8 + 14.44X = 994 + 15X and
16.8 = .56X so
X = 30
30 kids are 15 years old for the mean age to be 14.44
d.30
Answer:
Solution given:
x. \( \:\:\:\) f. \( \:\:\:\) fx
13. \( \:\:\:\) 15. \( \:\:\:\) 195
14.\( \:\:\:\) 42 \( \:\:\:\) 588
15. \( \:\:\:\) x. \( \:\:\:\) 15x
16. \( \:\:\:\) 10. \( \:\:\:\) 160
17. \( \:\:\:\) 3. \( \:\:\:\) 51
. n=70+x. \(\sum\)=994+15x
we have
mean=sum/n
14.44=\(\bold{\frac{\sum}{n}}\)
14.44=\(\bold{\frac{994+15x}{70+x}}\)
doing crisscrossed multiplication
(70+x)*14.44=994+15x
1010.8+14.44x=994+15x
15x-14.44x=1010.8-994
0.56x=16.8
x=16.8/0.56
x=30
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x=17 degrees
Step-by-step explanation:
All 3 angles = 180 degrees
So 90 + 54 + (x+19) = 180
Combine like terms
163 + x = 180
Subtract 163 from both sides
x = 180-163
x = 17
Carlos is picking 6/384 apples. Mateo is picking oranges of 10. How much did Mateo pick?
Question might be incomplete or incorrect so we'd have to assume Mateo took apples
Answer:
5/189 apples
Step-by-step explanation:
If Carlos picks 6/384 apples then there must be 384 apples available to pick from. Amount of apples left after Carlos picks =384-6=378 apples
If Mateo picks 10 apples after Carlos then how much apples Mateo has taken would depend on the number of apples available, hence the fraction of apples Mateo has taken = 10/378
Reduce to lowest terms to get 5/189 apples
Find the answer, please!!
Can someone help me with this question? Its really short.
The value of x that satisfies the equation for the sum of angles in triangle ABC is 16.
To find the value of x, we start by using the fact that the sum of the angles in a triangle is 180 degrees. In triangle ABC, we know that angles A, B, and C add up to 180 degrees.
From the given figure, we can see that angle A is equal to 5x + 10, angle B is equal to 2x + 15, and angle C is equal to 3x - 5. We can substitute these values into the equation for the sum of angles:
5x + 10 + 2x + 15 + 3x - 5 = 180
We can then simplify the equation by combining like terms:
10x + 20 = 180
Finally, we can solve for x by subtracting 20 from both sides and dividing by 10:
10x = 160
x = 16
Therefore, the value of x is 16.
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According to this diagram, what is tan 62°?
A 17/15
B 8/17
C 15/17
D 8/15
E 17/8
F 15/8
Porfa ayudaa
Don Carlos quiere colocar una cisternas cilíndrica con una capacidad de 2500lts y un diámetro de 1. 50 metros ¿cuánto debe excavar para que la cisterna quede al nivel del piso?
We need to excavate 15.92 meters in order to make the cistern level with the floor.
To calculate the amount of excavation needed for the cistern to be level with the floor, we must use the formula for the volume of a cylinder. The formula for the volume of a cylinder is V = πr2h, where V is the volume, r is the radius, and h is the height.
Since the diameter of the cistern is 1.50 meters, the radius is 0.75 meters. The volume of the cistern is 2500 liters, so the height is calculated by rearranging the formula to h = V/πr2. This gives us h = 2500/π(0.752), or h = 15.92 meters.
Therefore, we need to excavate 15.92 meters in order to make the cistern level with the floor.
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What is the probability of spinning a number less than 3 and flipping a tails
The probability of spinning a number less than 3 and flipping tails is 1/6.
To calculate the probability of two independent events occurring together, we multiply the probabilities of each event. The probability of spinning a number less than 3 is 2/6 or 1/3 (since there are two numbers less than 3 on a standard six-sided die). The probability of flipping tails on a fair coin is 1/2. Therefore, the probability of spinning a number less than 3 and flipping tails is (1/3) * (1/2) = 1/6. Thus, the correct answer is 1/6 .
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Divide 4 over 5 ÷ 1 over 10 = ___Divide 4 over 5 ÷ 1 over 10 = ____.
Numerical Answers Expected!_. Numerical Answers Expected!
Answer this Question I’ll BrainElist and PLEASE HELP ME DUE NOW PLEASE
Step-by-step explanation:
I I think you have your answer now
Solve for x in this triangle. Round your answer to the nearest tenth. 13 35⁰ X
Answer:
x ≈ 10.6
Step-by-step explanation:
using the cosine ratio in the right triangle
cos35°= \(\frac{adjacent}{hypotenuse}\) = \(\frac{x}{13}\) ( multiply both sides by 13 )
13 × cos35° = x , then
x ≈ 10.6 ( to the nearest tenth )
If TT $6.00 is equivalent to US $1.00, then TT $15.00 in US dollars is
Answer:
US $2.50
Step-by-step explanation:
Divide 15 by 6 to get 2.5. Then divide 2.5 by 1(THIS PART IS ESSENTIAL, YOU WILL NOT ALWAYS BE LUCKY ENOUGH TO HAVE A 1 HERE), which is still 2.5.
To check your work, multiply 6 by 2.5 and get $15.
The value of TT $15.00 in US dollars based on the given ratio will be $2.5 US dollars.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
TT $6.00 is equivalent to US $1.00
TT $1 will be equivalent to $(1/6) US by ratio.
Multiply both sides by 15
TT $15.00 = $(1/6)15 US
TT $15.00 = $2.5 US dollars.
Hence "The value of TT $15.00 in US dollars based on the given ratio will be $2.5 US dollars".
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Which angle has sides DB and DC? Select all that apply.
No, rectangle DABC is not the result of a dilation of rectangle HEFG with a center of dilation at the origin.
What is dilation?Dilation is a geometrical transformation that changes the size of a shape or figure. It is one of the four basic transformations of geometry alongside translation, rotation, and reflection. Dilation involves resizing a shape by a scale factor and keeping its overall shape intact. The scale factor is the ratio of the size of the image to the size of the original figure.
Dilation involves a scaling of a shape, where each point on the shape is moved away from or closer to the center of dilation, proportional to its distance from the center. In this case, the angles of rectangle DABC are different from the angles of rectangle HEFG, so it is not the result of a dilation. The angles of rectangle HEFG are ∠2, ∠33, ∠EDC, whereas the angles of rectangle DABC are ∠ADB, ∠BDC, and ∠CDB.
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Help quickly please!
50 points!
I'll mark brainliest!
Use the sum of cubes identity to write this polynomial expression in factored form: 8x^3 + 27
(2x + 3) (x^2 - 6x + 9)
34. Michele is hiking and notices that some of the mountains resemble parabolas. If the following functions describe shapes of mountains, which of the following mountains would have the steepest slope? F. H. Mountain D: y--**+5 Mountain C: y=-**+5 Mountain A: y=-**+5 L. Mountain B: y=-** +5 35. Approximately 9 out of 100 people are left handed. Out of a population of 1740 people, how many are likely to be left handed? A. 139 C. 174 B. 193 D. 157 36. What is the x-value for the solution to the system of equations below? (2x+y=8 (-4x-y=-14 H. 3 G-3 I. 2 37. Which represents the solutions of 21 -5 <-17 A. X <-2 AND > 2 C. x > 2 OR > -2 B. X-2 AND X 2 D. > 2 ORX <-2 F. 4
The mountain with the steepest slope would be Mountain H, described by the function y = -** + 5.
To determine which mountain has the steepest slope, we need to look at the coefficient of the quadratic term in the function describing each mountain. The higher the coefficient, the steeper the slope.
Among the given options, Mountain H is described by the function y = -** + 5. Since the coefficient of the quadratic term is negative, the parabolic shape opens downwards, indicating a steep slope. Comparing it to the other options where the coefficient is not negative, Mountain H has the steepest slope.
Moving on to the next question:
Approximately 9 out of 100 people are left-handed. To calculate the number of left-handed individuals in a population of 1740 people, we can multiply the percentage by the total population:
Number of left-handed individuals = 9/100 * 1740 = 156.6
Rounding to the nearest whole number, we find that approximately 157 people are likely to be left-handed in a population of 1740 individuals.
As for the third question, it seems that the given system of equations is missing, so it is not possible to determine the x-value for the solution.
Finally, in question 37, the inequality 21 - 5 < -17 can be simplified to 16 < -17, which is not true. Therefore, none of the given answer choices represents the solutions to the inequality.
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Find the tension in cables OA OB and OC given W = 375 lbs. A_x = 6 ft. B_x = 6ft. B_x = 6 ft. B_x = 2 ft. C_x = 8 ft. C_y = 4 ft. C_z = 2 ft F_a = lbs F_b = lbs. F_d = lbs
To determine the tension in cables OA, OB, and OC, we need to consider the equilibrium of forces acting on the system. Given the information provided, we can analyze the forces acting at each point:
At point O, there are three cables exerting tension: OA, OB, and OC. Additionally, there is a vertical force W acting downwards.
At point A, cable OA exerts tension, and there may be a horizontal force Fa acting.
At point B, cable OB exerts tension, and there may be a horizontal force Fb acting.
At point C, cable OC exerts tension, and there may be a Bforce Fd acting.
To determine the tensions in the cables, we need to apply the principles of equilibrium. This means that the sum of the forces in both the x and y directions must be zero.
In the x-direction:
Tension in OA (OA_x) + Tension in OB (OB_x) + Tension in OC (OC_x) + Fa + Fb = 0
In the y-direction:
Tension in OC (OC_y) - W + Fd = 0
To solve these equations, we need the values of Fa, Fb, and Fd, which are not provided in the given information. Additionally, we would need information on the angles at which the cables are attached to accurately determine the tensions. Without the necessary additional information, it is not possible to calculate the tensions in cables OA, OB, and OC.
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