302.833 rounded to the nearest whole number
Answers
Answer:
303
Step-by-step explanation:
Step-by-step explanation:
When rounding a decimal to the nearest whole number, we look at the tenths place. If it is {5,6,7,8,9} we round the ones place up. If it is {0,1,2,3,4} the ones place stays the same.
For 302.833, the tenths place is 8.
Therefore we round 302.833 up to 303.
The answer is 303.
Related Questions
what is the answer to -3x = 4.2 ?
Answers
Answer:
\( - 3x = 4.2 \\ - x = \frac{4.2}{3} \\ - x = 1.4 \\ x = - 1.4 \\ thank \: you\)
HELP PLS
will give brainliesy!
Answers
Answer: 60 degrees
if angle dgc equals 90 (the little square means right angle which is 90 degrees) that means dga equals 90 too (because they are supplementary angles which equal 180 together)
90 - 30 = 60 (minus 30 bc 30 needs to be subtracted in order to find angle dge)
vertical angles are equivalent so x = 60
:)
Answer:
60
Step-by-step explanation:
because the unmarked angle is vertical pairs with the 90º, we know it is 90º
xº=180º-30º-90º
=90º-30º
=60º
Ankit visited in a mall with his father. He sees that three shops are situated at P, Q, R as shown in the figure from where they have to purchase things according to their need. Distance between shop P and Q is 8 m, that of between shop Q and R is 10 m and between shop P and R is 6 m.
Answers
The measure of angle PQR is given as follows:
How to obtain the measure of angle PQR?To obtain the measure of angle PQR, first we verify if the triangle PQR is a right triangle or not.
To verify if the triangle is a right triangle we apply the Pythagorean Theorem, which states that the length of the hypotenuse squared is equals to the sum of the lengths of each side squared, in the case of a right triangle.
Hence, for this problem, considering the side lengths, we have that:
10² = 6² + 8²
100 = 36 + 64
100 = 100.
Which is true, hence this is in fact a right triangle and the measure of angle PQR is of 90º.
Missing InformationThe problem asks for the measure of angle PQR.
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results of a random survey showed that 15 out of 25 students plan to vote for Stacy for class
president. Based on this survey, about how many votes will Stacy receive if 225 students cast votes?
Answers
165 votes
So we know that there would be 225 votes.
Explanation:
225 divide 25=11
Then lastly multiply 15 with 11.
Final Result: 165 votes
in a baseball league of 9 teams, how many games are needed to complete the schedule if each team plays 12 games with each other?
Answers
Total number of games for 9 teams so that each team will play 12 games in the baseball league will be 432
Total number of teams in the baseball league is 9
Total number of games that each team will play is 12
Since, each team will have option of 8 teams to play with since no team can play with itself
Therefore, number of games that each team will play after playing 12 games will be 8 x 12 = 96
Since there are 9 teams, therefore total number of games that two teams will play = 96 x 9 = 864
Now, as it takes two teams to play a game therefore the required number of games for the 9 teams = 864/2 = 432
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Which product is represented by the model below
Answers
Let "x" = square root of 6 + the square root of 7. What two consecutive integers does "x" lie between? Can you please explain in words, how you got the answer?
Answers
Answer:
(5, 6)
Step-by-step explanation:
\(x=\sqrt{6}+\sqrt{7}\approx2.45+2.65\approx 5.10\\\\\boxed{5<x<6}\)
I evaluated the expression on my calculator.
__
You can guess that the sum is nearly 2√6.5 = √26. This is between √5² and √6², so the root is likely between 5 and 6.
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?
Answers
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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Question 3: Utility Functions and Indifference Curves. (25 pts) (a) Consider the utility function u(x 1
,x 2
). What is meant by a monotonic transformation of the utility function? (8 pts) (b) Suppose that u 1
(x 1
,x 2
)=6x 1
+9x 2
. Draw the indifference curves for utility levels u(x 1
,x 2
)=10. u(x 1
,x 2
)=20 and u(x 1
,x 2
)=30.(6pts) (c) Now consider u 2
(x 1
,x 2
)=2x 1
+3x 2
. Again, draw the indifference curves for utility levels u(x 1
,x 2
)=10,u(x 1
,x 2
)=20 and u(x 1
,x 2
)=30,(6pts) (d) Is u 1
(x 1
,x 2
) a monotonic transformation of u 2
(x 1
,x 2
) ? Can both describe the same preferences? Explain. (5 pts)
Answers
(a) A monotonic transformation of a utility function refers to a mathematical operation that preserves the order of individual's preferences while transforming the scale or level of utility. In other words, it involves applying a one-to-one transformation to the utility function that does not change the ranking of different bundles of goods. Monotonic transformations include positive linear transformations, power transformations, logarithmic transformations, and affine transformations.
(b) Given the utility function u₁(x₁, x₂) = 6x₁ + 9x₂, we can draw the indifference curves for different levels of utility. To plot the indifference curves for u(x₁, x₂) = 10, 20, and 30, we can rearrange the utility function and solve for x₂ in terms of x₁.
For u(x₁, x₂) = 10: x₂ = (10 - 6x₁)/9
For u(x₁, x₂) = 20: x₂ = (20 - 6x₁)/9
For u(x₁, x₂) = 30: x₂ = (30 - 6x₁)/9
Using these equations, we can choose different values of x₁ and calculate the corresponding values of x₂. Plotting these points will give us the indifference curves for the specified utility levels.
(c) For the utility function u₂(x₁, x₂) = 2x₁ + 3x₂, we can follow the same process to draw the indifference curves for u(x₁, x₂) = 10, 20, and 30. Rearranging the utility function, we have:
For u(x₁, x₂) = 10: x₂ = (10 - 2x₁)/3
For u(x₁, x₂) = 20: x₂ = (20 - 2x₁)/3
For u(x₁, x₂) = 30: x₂ = (30 - 2x₁)/3
By selecting various values of x₁ and calculating the corresponding values of x₂, we can plot the indifference curves for the given utility levels.
(d) No, u₁(x₁, x₂) = 6x₁ + 9x₂ is not a monotonic transformation of u₂(x₁, x₂) = 2x₁ + 3x₂. Monotonic transformations preserve the ranking of preferences, but in this case, the coefficients and thus the relative weights of x₁ and x₂ differ between the two utility functions. As a result, they represent different preferences and cannot describe the same utility levels for given bundles of goods. The shape and slope of the indifference curves will differ between the two utility functions, indicating different levels of satisfaction and trade-offs between x₁ and x₂ for individuals.
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For the students in your school, the mean score on a state-wide standardized test was 116. Is the mean score a parameter or a statistic? Explain your reasoning
Answers
Use the matrix of transition probabilities P and initial state matrix X_0 to find the state matrices X_1, X_2, and X_3. P = [0.6 0.2 0.1 0.3 0.7 0.1 0.1 0.1 0.8], X_0 = [0.1 0.2 0.7] X_1 = [] X_2 = [] X_1 = []
Answers
To find the state matrices X_1, X_2, and X_3, we can use the transition probability matrix P and the initial state matrix X_0.
P = [0.6 0.2 0.1
0.3 0.7 0.1
0.1 0.1 0.8]
X_0 = [0.1 0.2 0.7]
To calculate X_1, we multiply the transition probability matrix P with the initial state matrix X_0:
X_1 = P * X_0
To calculate X_2, we multiply P with X_1:
X_2 = P * X_1
Similarly, to calculate X_3, we multiply P with X_2:
X_3 = P * X_2
Performing these matrix multiplications will give us the state matrices X_1, X_2, and X_3.
Note: Since the provided matrix P has a dimension of 3x3 and the initial state matrix X_0 has a dimension of 1x3, the resulting state matrices X_1, X_2, and X_3 will also have a dimension of 1x3.
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To find the state matrices X₁, X₂, and X₃ given the transition probabilities matrix P and the initial state matrix X₀, we can apply matrix multiplication repeatedly.
P = [0.6 0.2 0.1
0.3 0.7 0.1
0.1 0.1 0.8]
X₀ = [0.1
0.2
0.7]
To find X₁, we multiply P with X₀:
X₁ = P * X₀
To find X₂, we multiply P with X₁:
X₂ = P * X₁ = P * (P * X₀)
To find X₃, we multiply P with X₂:
X₃ = P * X₂ = P * (P * (P * X₀))
Performing the matrix multiplications, we get:
X₁ = [0.6 0.2 0.1] * [0.1
0.2
0.7] = [0.06 + 0.04 + 0.07
0.03 + 0.14 + 0.07
0.01 + 0.02 + 0.56]
X₁ = [0.17
0.24
0.59]
X₂ = [0.6 0.2 0.1] * [0.17
0.24
0.59] = [0.048 + 0.048 + 0.059
0.023 + 0.168 + 0.059
0.007 + 0.048 + 0.472]
X₂ = [0.155
0.25
0.527]
X₃ = [0.6 0.2 0.1] * [0.155
0.25
0.527] = [0.042 + 0.031 + 0.053
0.021 + 0.175 + 0.053
0.006 + 0.05 + 0.422]
X₃ = [0.126
0.249
0.478]
Therefore, the state matrices are:
X₁ = [0.17
0.24
0.59]
X₂ = [0.155
0.25
0.527]
X₃ = [0.126
0.249
0.478]
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Find the Surface area of the trapezoid
please help
show work
Answers
Answer:
259.5
Step-by-step explanation:
8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5
Why would the median be a better measure of the center than the mean for the following set of data? 3, 4, 4, 4, 5, 6, 7, 23
Answers
Answer:
Step-by-step explanation:
If I found the mean, the answer would be:
3+ 4+4+4+5+6+7+23= 56
56/ 8 = 7
If I found the average value using the median, the answer would be 4.5.
In this set of data, the anomaly is 23 as it is much higher than the other numbers.
The median is more accurate because it find the more ‘central’ number and is not affected as greatly with anomalies whereas the mean is affected greatly with anomalies as it raises the value significantly.
Therefore, the median is better to work out the average in this set of data.
:)
Economic growth typically results in rising standards of living and prosperity. However, it also invites negative externalities such as environmental degradation due to over- exploiting of natural resources. As such, the world is confronted with the dilemma of growth versus environmental sustainability. Developing a model explaining the disparity of economic development concentrating on drivers such as tourism sustainability, technological innovation and the quality of leadership would be important not only to facilitate future economic growth in developing countries, but also to the environmental and sociocultural sustainability which ultimately lead to global sustainable development. The present research objective is to develop and test framework of sustainable development by considering the elements of tourism, technological innovation, and national leadership. This further would facilitate growth, environmental and socio-cultural sustainability. Understanding the integration of these dimensions would enable the building of a Sustainable Development Framework (SDF) that would provide better insight in promoting the SDGS agenda. Ultimately, growth and environmental sustainability can be achieved which will benefit the society, the economy, and nations and of course for future sustainable policy recommendation. Based on the issue above, you are required to propose relevant econometric approaches with the aims to test sustainable development by considering the elements of tourism, technological innovation, and national leadership. Question 1 [10 marks] [CLO2] Based on the scenario above, a. Propose an appropriate model specification based on the scenario above. [4 marks] used in the [4 marks] [2 marks] b. Justify the selection of the dependent and independent variables model. c. Justify the selection of the sample period.
Answers
According to the given information, the sample period should be from 2010-2020.
a) Model specification
The model specification based on the scenario above is as follows:
SDF= f(T, TI, NL)
Where: SDF= Sustainable Development Framework
T= Tourism
TI= Technological innovation
NL= National leadership
b) Justification for the selection of the dependent and independent variables model:
Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.
Independent variables:
The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.
The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.
c) Justification for the selection of the sample period:
The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.
Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.
The sample period should be from 2010-2020.
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could you help me quick!?
Answers
Answer:
1: 5 2: -70.98 3: C 4:A. 5:A
Step-by-step explanation:
Which box plot represents the data set 1, 1, 3, 3, 3, 7, 9, 9, 9, 9, 15?
Answers
The answer is C since it goes through all of the numbers
Pls help i rll dont understand
Answers
Answer: 42.0
Step-by-step explanation:
1. Betty Arca.
Installment loan of $800.00.
Finance charge of $40.72.
Requires 36 monthly payments.
What is the APR?
Answers
Using an online finance calculator, the annual percentage rate (APR) of an $800 installment loan with a finance charge of $40.72 for 36 monthly payments is 1.656%.
What is the annual percentage rate?The annual percentage rate (APR) is the cost of borrowing, including the interest and other fees, expressed as a percentage of the debt.
The APR is always computed as an annual rate to show the cost of borrowing or finance charge over a year.
N (# of periods) = 36 months
PV (Present Value) = $800
PMT (Periodic Payment) = $0
FV (Future Value) = $-840.72
I/Y = 1.656% if interest compounds 12 times per year (APR)
I/Y = 1.669% if interest compounds once per year (APY)
I/period = 0.138% interest per period
Total Interest = $40.72
Thus, for Betty Arca's installment loan of $800, the APR is 1.656%.
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The weight of a puppy is modeled by 2x - y=-2, where x represents the puppy's age in
weeks and y represents its weight in pounds. Which graph models the puppy's growth?
Answers
Answer:
Step-by-step explanation:
Solve each absolute value inequality and show its solution set. |2y +3 |<19
Answers
The solution set for that absolute value inequality is -19/2 < y < 13/2.
Find the median for the data set. 9, 14, 11, 8, 3, 15*
Your answer
Answers
Answer:
10
Step-by-step explanation:
Align the data from smallest to largest
3,8,9, 11, 14, 15*
The median is the middle number
3,8,9, 11, 14, 15*
It would be between the 9 and 11 since there is an even number of numbers
(9+11)/2 = 20/2 = 10
The median is 10
Solution:
Arranging the data in ascending order:
3,8,9,11,14,15
N(total number of items)=6
Median=(N+1/2) th item
=(6+1/2)th item
=(7/2)th item
=3.5th item.
Again,Median=3rd item+4th item/2
=9+11/2
= 20/2
=10
Median =10
Hope it helps...
How much is 2/3 times 2/3 in fractional form?
Answers
Answer:
4/9
Step-by-step explanation:
2/3 x 2/3 = 4/9
What is factoring quadratic trinomial
Answers
Answer:
A polynomial consisting of three terms.
Determine the domain and range of the relation {(3, 8), (3, 2), (5, 2), (6, 1), (9,1)} I don't understood domain and range. Help please.
Answers
Answer:
Domain: {3,5,6,9}
Range: {1,2,8}
Step-by-step explanation:
In a relation, the domain is the x-values while the range is the y-values. To find them simply list the values in order from least to greatest while not repeating any values. This relation would also not be considered a function because x-values repeat.
4(20+12) / (5-3)
What is this
Answers
4x32x(5-3)
4x32x2
128x2
256
x^2 - 3xb - 40b^2 factor the trinomi
Answers
Answer:
− (8b − x) (5b + x)
Step-by-step explanation:
A gym teacher has a large canvas bag that contains 8 tennis balls, 2 volleyballs, 1 basketball, 3 baseballs, and 5 footballs. If you reach into the bag at random, what is the probability that you select a tennis ball?
Answers
8/19 or 42.1%
add all values up to a total, then find the percentage from that total.
8 + 2 + 1 + 3 + 5 = 19 balls total
8 tennis valls to 19 total.
8/19 or 42.1%
A variety of two types of snack packs are delivered to a store. The box plots compare the number of calories in each snack pack of crackers to the number of calories in each snack pack of trail mix.
A number line goes from 65 to 115. Crackers's whiskers range from 70 to 100, and the box ranges from 75 to 85. A line divides the box at 80. Cookies's whiskers range from 70 to 115, and the box ranges from 90 to 105. A line divides the box at 100.
Which statement is true about the box plots?
The interquartile range of the trail mix data is greater than the range of the cracker data.
The value 70 is an outlier in the trail mix data.
The upper quartile of the trail mix data is equal to the maximum value of the cracker data.
The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.
Answers
The statement that is true about the box plots is: D. The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.
What is a Measure of Variation?For a data distribution that is displayed by a box plot, the measure of variation that can be used to describe the data distribution is the interquartile range.
What is the Interquartile Range of a Data Distribution?Interquartile range, which is a measure of variation can be determined from a box plot by finding the value of the third quartile and first quartile, the finding their difference. The difference is the interquartile range.
Interquartile range = third quartile - first quartile.
Interquartile range for crackers = 85 - 75
Interquartile range for crackers = 10
Interquartile range for trail mix = 105 - 90
Interquartile range for trail mix = 15.
The bigger the value of the interquartile range, the more variation there is that exist in a data distribution.
Interquartile range for trial mix is the largest, therefore, the statement that is true about the box plots is: D. The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.
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25 points please help!
Answers
Answer:
x= 10
Step-by-step explanation:
If line m is parallel to line n,
(8x +50)°= 130° (corr. ∠s, m//n)
8x +50= 130
Bring constants to one side:
8x= 130 -50
8x= 80
Divide both sides by 8:
x= 80 ÷8
x= 10
In order for the pH level of an acidic substance to be less than 2.25, the molar concentration of hydrogen ions, x, in the substance must satisfy the inequality –log x < 2.25. Review the table of values representing the left side of the inequality.
A 2-column table with 7 rows. Column 1 is labeled x with entries 0.01, 0.005623, 0.003162, 0.001778, 0.001, 0.0005623, 0.0003162. Column 2 is labeled negative log x with entries 2, 2.25, 2.5, 2.75, 3, 3.25, 3.5.
What is the solution set for the molar concentration of hydrogen ions to have a pH less than 2.25?
(0, 0.005623)
(0.005623, ∞)
(0, 0.0005623)
(0.0005623, ∞)
Answers
Answer:
It is B, (0.005623, ∞)
Step-by-step explanation:
I just did it on edge.