The classroom coin box required less than 11.11 Square feet of cardboard (100 square feet divided by 9), then 100 square feet would be sufficient
The 100 square feet of cardboard is enough to build the new coin box with a scale factor of 3 times the classroom coin box, we need to consider the relationship between the areas of the two boxes.
The area of the original classroom coin box is unknown, as it is not given in the problem. However, since we know that the new coin box has a scale factor of 3 times the original, we can infer that its area will be 3^2 = 9 times greater than the original.
Let's assume that the area of the classroom coin box is A square feet. In that case, the area of the new coin box would be 9A square feet.
Now, we are given that 100 square feet of cardboard is available. To determine if it's sufficient, we need to compare this value to the area of the new coin box, which is 9A.
If 100 square feet is greater than or equal to 9A, then it would be enough to build the new coin box. Conversely, if 100 square feet is less than 9A, it would not be enough.
Since we do not have a specific value for A, we cannot determine the exact answer. However, we can provide the argument to defend our solution.the classroom coin box required less than 11.11 square feet of cardboard (100 square feet divided by 9), then 100 square feet would be sufficient.
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Note the question be like :
A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If two marbles are drawn from the bag without replacement, what is the probability that both marbles are red?
Mrs Sinha bought one-third metre of pink material and five-sixths metre of purple material. How much material did she buy in total?
Answer:
1 1/6 metre
Step-by-step explanation:
1/3 pink + 5/6 purple
To add, we need to get a common denominator
1/3 *2/2 = 2/6
2/6 + 5/6
7/6
Change from an improper fraction to a mixed number
1 1/6 metre
A survey of 81 randomly selected homeowners finds that they spend a mean of $73 per month on home maintenance. Construct a 98% confidence interval for the mean amount of money spent per month on home maintenance by all homeowners. Assume that the population standard deviation is $10 per month. Round to the nearest cent.
We are 98% confident that the true mean amount of money spent per month on home maintenance by all homeowners is between $70.19 and $75.81.
A confidence interval is a range of values that is likely to contain the true value of the population parameter with a given level of confidence. A confidence interval for the population mean μ can be constructed as follows:
μ = sample mean ± margin of error where the margin of error is given by:margin of error = (critical value) x (standard error)
Here, we want to construct a 98% confidence interval for the mean amount of money spent per month on home maintenance by all homeowners. We are given that a survey of 81 randomly selected homeowners finds that they spend a mean of $73 per month on home maintenance.
The population standard deviation is assumed to be $10 per month.
Therefore, the standard error of the mean is given by:standard error = σ / sqrt(n) = 10 / sqrt(81) = 10 / 9 = 1.11
where σ is the population standard deviation and n is the sample size.To find the critical value, we need to look up the t-distribution table with 80 degrees of freedom and a significance level of 0.01 (since we want a 98% confidence interval).
The corresponding value is 2.527.
Therefore, the margin of error is:margin of error = (critical value) x (standard error) = 2.527 x 1.11 = 2.81
Finally, we can construct the confidence interval as follows:73 ± 2.81 = (70.19, 75.81)The confidence interval is rounded to the nearest cent.
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Unique ID: 2473
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An electrician charges a set fee of $50 for every house call and then charges an
additional hourly rate. One day, the electrician earned a total of $400 for a 5 hour
job. Write an equation for C, in terms of t, representing the total cost of the
electrician's services if the electrician spends t hours at the house working.
Answer: C
I
Submit Answer
POW
attempt 1 out of 2
The equation that represents the total cost is C = $50 + $70t.
What is the equation that represents the total cost?The total amount earned by the electrician is the sum of the fixed cost and the variable cost.
Total amount earned = fixed cost + variable cost
The fixed cost is the set fee he charges . The variable cost is a function of the additional hourly fee and the number of hours
The equation that represents the the total amount earned when he works for 5 hours is:
$400 = $50 + (5 x v)
$400 = $50 + 5v
$400 - $50 = 5v
$350 = 5v
v = $350 / 5
v = $70
C = $50 + $70t
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The Martinez family has a large lot. They have decided to create a square garden in
one corner of the lot. They want to put a walkway around the garden. The walkway
will be 5 feet wide on one side of the square and 8 feet wide on the other side. The
total area of the garden and the walkway must be 700 square feet.p
The length of a side of the square garden is 5.75 feet.
How to calculate the length(x+10)(x+5) - x² + (x+13)(x+8) - x² = 700
Simplifying and solving for x, we get:
2x^2 + 46x - 177 = 0
Using the quadratic formula, we can solve for x:
x = (-46 ± ✓46² - 4(2)(-177))) / (2(2))
x = (-46 ± 26) / 4
x = 5.75
The length of a side of the square garden is 5.75 feet.
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Sean A = < - 7, 5 ] U [10, 18 >, B = [ - 2, 8 > U < 13, 23 ]
C = < 1, 15>.
Hallar: (A ∩ B ) - C
The result of the expression (A ∩ B) - C is [-2, 5] U [13, 18] is [-2,5,13,18].
To find the result of the expression (A ∩ B) - C, where A, B, and C are sets, we need to perform the following steps:
Find the intersection of sets A and B, denoted as (A ∩ B).Subtract set C from the intersection (A ∩ B).Given the sets:
A = < - 7, 5 ] U [10, 18 >
B = [ - 2, 8 > U < 13, 23 >
C = < 1, 15 >
1.Find the intersection of sets A and B (A ∩ B):
To find the intersection, we need to find the overlapping region between the intervals.The intersection of the intervals [-7, 5] and [-2, 8] is [max(-7, -2), min(5, 8)] = [-2, 5].The intersection of the intervals [10, 18] and [13, 23] is [max(10, 13), min(18, 23)] = [13, 18].Therefore, the intersection of sets A and B is [-2, 5] U [13,18].2. Subtract set C from the intersection (A ∩ B):
Subtracting set C = <1, 15> from the intersection [-2, 5] U [13, 18] means removing any elements that are present in set C from the intersection.
Since set C = <1, 15> does not overlap with either [-2, 5] or [13, 18], the subtraction (A ∩ B) - C results in the same set as the intersection:
(A ∩ B) - C = [-2, 5] U [13, 18].
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Answer this question please
The correct option is D, the parent quadratic function is:
f(x) = x²
Which one is the parent quadratic function?First, we define the parent functions as the simplest function for each type.
For example, the parent linear function is.
y = x
The parent square root function is:
y = √x
The parent absolute value function is:
y = |x|
And so on.
So the parent quadratic function is a polynomial of degree 2 where we only have the quadratic term (and no coefficient).
Thus, the correct option is D; f(x) = x²
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The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude, and study habits of college students. Scores range from 0 to 200 and follow (approximately) a normal distribution with mean 115 and standard deviation σ=25
. You suspect that incoming freshman have a mean μ
which is different from 115 because they are often excited yet anxious about entering college. To test your suspicion, you test the hypotheses H0:μ=115
, Ha:μ≠115
. You give the SSHA to 25 students who are incoming freshman and find their mean score. Based on this, you reject H0
at significance level α=0.01
. Which of the following would be most helpful in assessing the practical significance of your results?
A. Take another sample and retest just to make sure the results are not due to chance.
B. Report the P-value of your test.
C. Construct a 99% confidence interval for μ
in order to see the magnitude of the difference between 115 and your sample results.
D. Test the hypotheses again, this time using significance level α=0.001
.
(b) In testing hypotheses, if the consequences of rejecting the null hypothesis are very serious, we should
A. insist that the level of significance be smaller than the P-value.
B. use a very small level of significance.
C. insist that the P-value be smaller than the level of significance.
D. use a very large level of significance.
(c) A medical researcher is working on a new treatment for a certain type of cancer. The average survival time after diagnosis on the standard treatment is two years. In an early trial, she tries the new treatment on three subjects who have an average survival time after diagnosis of four years. Although the survival time has doubled, the results are not statistically significant even at the 0.10 significance level. The explanation is
A. the calculation was in error. The researchers forgot to include the sample size.
B. the sample size is small.
C. the placebo effect is present, which limits statistical significance.
D. that although the survival time has doubled, in reality the actual increase is really two years.
a) The correct option is C. Construct a 99% confidence interval for μ in order to see the magnitude of the difference between 115 and your sample results.
b) The correct option is B. Use a very small level of significance.
c) The correct option is B. The sample size is small.
d) The lack of statistical significance at the 0.10 significance level suggests that the observed doubling of survival time may not be practically significant as the actual increase is only two years.
(a) To assess the practical significance of the results, the most helpful approach would be to construct a 99% confidence interval for the population mean, μ. This would provide a range of values within which the true population mean is likely to fall. By comparing this interval to the hypothesized value of 115, you can evaluate the magnitude of the difference and determine if it is practically significant.
Therefore, the correct option is C. Construct a 99% confidence interval for μ in order to see the magnitude of the difference between 115 and your sample results.
(b) When the consequences of rejecting the null hypothesis are very serious, it is important to be cautious and use a very small level of significance. The level of significance determines the threshold for rejecting the null hypothesis. By using a very small level of significance, you are setting a higher standard for rejecting the null hypothesis, reducing the likelihood of making a Type I error (false positive). This ensures that strong evidence is required to support rejecting the null hypothesis when the consequences are significant.
Therefore, the correct option is B. Use a very small level of significance.
(c) In this scenario, the explanation for the lack of statistical significance at the 0.10 significance level, despite the survival time doubling, is likely due to the small sample size. With only three subjects, the sample may not provide enough statistical power to detect a significant difference. The variability in survival times within the sample might also influence the lack of significance. A larger sample size would provide more reliable and statistically significant results.
Therefore, the correct option is B. The sample size is small.
d) The explanation for the lack of statistical significance in this scenario is that although the survival time has doubled from two years to four years, the actual increase is still only two years. This means that the difference between the standard treatment and the new treatment is not as substantial as it may initially seem.
When conducting statistical tests, it is important to consider both statistical significance and practical significance. While the survival time doubling may be a positive outcome, if the actual increase is only two years, it may not be considered practically significant in the context of cancer treatment.
Statistical significance is determined by conducting hypothesis tests and examining the p-value. In this case, even at the 0.10 significance level, the results are not statistically significant, indicating that the observed difference in survival times could likely be due to chance.
It is important to interpret the results in the context of the specific situation and consider factors such as sample size, variability, and clinical significance. In this case, the small sample size of three subjects may limit the statistical power to detect a significant difference. Additionally, the placebo effect or other factors may also play a role in limiting the statistical significance of the results.
In summary, the lack of statistical significance at the 0.10 significance level suggests that the observed doubling of survival time may not be practically significant as the actual increase is only two years.
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x-y=-1
x=-9
solution problem i am having trouble trying to solve or figure out
The solution to the System of equations is x = -9 and y = 8
We have the equation x - y = -1 and the equation x = -9. We can use the second equation to substitute the value of x in the first equation and solve for y.
Given x = -9, we substitute this value into the first equation:
(-9) - y = -1
Simplifying, we have:
-9 + y = -1
To isolate y, we can add 9 to both sides of the equation:
-9 + 9 + y = -1 + 9
This gives us:
y = 8
Therefore, the solution to the system of equations is x = -9 and y = 8.
We can check this solution by substituting the values of x and y back into the original equations:
Equation 1: x - y = -1
Substituting x = -9 and y = 8:
-9 - 8 = -1
Simplifying, we have:
-17 = -1
The equation is true, so our solution is valid.It is important to note that the solution provided is derived from the given equations and standard algebraic methods.
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PLEASE HELP
The area of a rectangle in square inches is
shown below. If the length of the rectangle is
x - 4 inches, write an expression to represent
the width of the rectangle.
Your answer
A = 5x² 18x - 8
1 points
Answer:
-4x² + 14x + 8Step-by-step explanation:
It's given that, The area of a rectangle in square inches is 5x² - 18x - 8 and the length of the rectangle is x - 4 inches.
Let the width of the rectangle be x inchez
We know that area of Rectangle is calculated by,
[tex]:\implies[/tex] Length × width = area
Substituting the values we get,
[tex]:\implies[/tex] (x - 4)(x) = 5x² - 18x - 8
[tex]:\implies[/tex] x² - 4x = 5x² - 18x - 8
[tex]:\implies[/tex] x² - 5x² - 4x + 18x = -8
[tex]:\implies[/tex] -4x² + 14x = -8
[tex]:\implies[/tex] -4x² + 14x + 8 = 0
Hence, This is the required expression which represent the width of the rectangle.
Jordan is putting new tile on the bathroom floor. The width of the floor is 4 2/4 feet and the length
is 6 3/4 feet.
Part A:
What is the area of the bathroom floor?
Part B:Each box of tiles has enough tiles to cover 5 ft.² how many boxes of tiles will Jordan need?
a) The area of the rectangular shaped bathroom floor is A = 30.375 feet²
b) The number of boxes of tiles = 25 boxes
Given data ,
Jordan is putting new tile on the bathroom floor. The width of the floor is 4 2/4 feet and the length is 6 3/4 feet
Now , Area of Rectangle = Length x Width
On simplifying , we get
Width = 4 2/4 feet = (4 x 4 + 2)/4 = 18/4 feet
Length = 6 3/4 feet = (6 x 4 + 3)/4 = 27/4 feet
Area = (18/4) x (27/4) = (18 x 27)/(4 x 4) = 30.375 feet²
Therefore , the area of bathroom floor is A = 30.375 feet²
Now , the number of boxes is given by
Number of boxes of tiles = Total area of bathroom floor / Area covered by each box of tiles
B = 30.375 / 5
B = 6.075
B = 6 tiles
Hence , the area of bathroom floor is A = 30.375 feet²
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I NEED HELP WITH STATISTICS
The claims are this year some of their clients will have a starting salary of at least $38,500 and last year at least one of their clients had a starting salary of exactly $38,500. Correct options are A and B.
Based on the given information, option A can be true. This is because the average starting salary of the job placement agency's clients was $38,500 last year, which means some clients had a starting salary equal to or greater than that amount.
Option B is also true because the mean includes all values, including the value of $38,500, so it is likely that at least one client had that starting salary.
Option C cannot be determined from the given information as it is unclear what percentage of clients had a starting salary above $38,500. Option D is not necessarily true as there is no information on the starting salary of any client exceeding $42,000.
Option E is also not true as the average salary of $38,500 does not guarantee that all clients had that same starting salary. Therefore, the correct answer is A and B, and the rest cannot be determined from the given information.
Correct options are A and B.
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Fergus and his best friend went to a movie
and bought popcorn. They split the cost
evenly, each paying $17. How much was the
total cost of the movie and popcorn? If x
equals the total cost, choose the equation
that solves the problem.
O x/2 = 17
Ox-17 = 2
Ox+17 = 2
2x = 17
Answer:
x / 2 = 17
Step-by-step explanation:
Since we're told that there are 2 friends, they split the cost evenly, and they each paid $17 individually, we'd have to use the equation x / 2 = 17 to find the total cost.
If you were to solve, you'd find that the total cost was $34 as 2 * 17 = 34 and 34 / 2 = 17
help asap!!!
The tables represent hat sizes measured in inches for two baseball teams.
Cougars
21.5 24.5 22
21 22 23
22.5 24 21
22 23.5 22
23.5 22 24
Panthers
22.5 20 23.5
21 24 22
20.5 21.5 23
23 22.5 21
24 22 24.5
Which team has the largest overall size hat for their players? Determine the best measure of center to compare and explain your answer.
Panthers; they have a larger median value of 22.5 inches
Cougars; they have a larger median value of 22 inches
Panthers; they have a larger mean value of about 22 inches
Cougars; they have a larger mean value of about 22.6 inches
The correct answer is, Cougars; they have a larger median value of 22 inches.
Calculating the median and mean for each data set, we get:
Cougars:
Median = 22 inches
Mean = 22.3 inches
Panthers:
Median = 22.5 inches
Mean = 22.2 inches
Since the median of the Cougars data set is larger than the median of the Panthers data set, we can conclude that the Cougars have the largest overall size hat for their players.
Therefore, the correct answer is, Cougars; they have a larger median value of 22 inches.
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jasper is picking out his clothes for school he can wear a t shirt polo or sweat shirt as a top for pants khakis jeans sweat pants corduroys and short he can wear boots or tennis shoes or sandals jasper also need a jacket he has a ski and a rain coat and a wool coat how many combinations did jasper pick in total
Jasper has a total of 135 possible combinations for his outfit.
To calculate the total number of combinations that Jasper can pick for his outfit, we need to multiply the number of options for each category: tops, pants, shoes, and jackets.
For tops, Jasper has three options: t-shirt, polo, or sweatshirt.
For pants, he has five options: khakis, jeans, sweatpants, corduroys, or shorts.
For shoes, he has three options: boots, tennis shoes, or sandals.
For jackets, he has three options: ski coat, raincoat, or wool coat.
To calculate the total number of combinations, we multiply the number of options for each category:
3 (tops) × 5 (pants) × 3 (shoes) × 3 (jackets) = 135
Jasper has a total of 135 possible combinations for his outfit.
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Wendy, who is single, worked her way through college earning an annual taxable income of $12,000 in 2022. Her first job after graduation will give her a taxable income of $35,000 per year. Using the tax table, what is her marginal tax bracket in 2022 while she is still in school and what will it be when she graduates?
A. 0 percent now, 10 percent when she graduates.
B. 10 percent now and when she graduates.
C. 0 percent now and 10 percent when she graduates.
D. 12 percent now, 12 percent when she graduates.
Wendy's marginal tax brackets in 2022 while she is still in school is 12 percent and it will be also 12 percent when she graduates.
Hence the correct option is (D).
Given that Wendy is Single.
So the effective taxable income regime will be which is on the second column.
It is given that at her school days she earns a taxable income of $ 12,000.
So $12000 falls in the slab of $ 10276 - $ 41775.
So the tax rate for her in her school days is 12%.
When she will graduates the taxable per year income will be $35,000.
Clearly, $35,000 also falls into the slab of $ 10276 - $ 41775.
So the tax rate for her when she will graduate will be same 12 percent.
Hence the correct option will be (D).
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1
The dimensions of a cube and a rectangular prism are shown below.
Cube
B
2x
3x
Rectangular Prism
4x
Which statement is true?
A The surface area of the rectangular prism is 24 times larger than the surface area of
the cube.
26
The surface area of the rectangular prism is times larger than the surface area of
the cube.
C The volume of the rectangular prism is 48 times larger than the volume of the cube.
D
8
The volume of the rectangular prism is 3 times larger than the volume of the cube.
The surface area of the rectangular prism is (26/3) times larger than the surface area of the cube.
Given data ,
Let the surface area of the cube be S₁
Let the surface area of the rectangular prism be S₂
Let the volume of the cube be V₁
Let the volume of the prism be V₂
On simplifying , we get
The side length of cube = x
So , surface area of cube = 6x²
The volume of cube = x³
And , the surface area of prism = 2 ( 12x² + 8x² + 6x² )
S₂ = 52x²
And , volume of prism = l x w x h
V₂ = ( 2x ) ( 3x ) ( 4x ) = 24x²
So , S₂ = ( 26/3 ) S₁
52x² = ( 26/3 ) ( 6x² )
52x² = 52x²
Hence , The rectangular prism's surface area is (26/3) times greater than the cube's surface area.
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The complete question is attached below :
The dimensions of a cube and a rectangular prism are shown below.
Which statement is true?
A The surface area of the rectangular prism is 24 times larger than the surface area of the cube.
The surface area of the rectangular prism is times larger than the surface area of the cube.
C The volume of the rectangular prism is 48 times larger than the volume of the cube.
D The volume of the rectangular prism is 3 times larger than the volume of the cube.
Ole has a window that has the dimensions and shape like the trapezoid shown below. He also has a large rectangular piece of poster board that measures 25 inches by 60 inches. If Ole cuts out a piece of poster board that is exactly the same size as the window, which equation can be used to calculate the amount of poster board that will be left over?
The amount of poster board left over will be 1275 square inches, the equation used is A = (b₁ + b₂)h/2.
To calculate the amount of poster board that will be left over after Ole cuts out a piece of poster board that is the same size as the window,
we need to find the area of the trapezoid window and subtract it from the area of the poster board.
The formula to find the area of a trapezoid is A = (b₁ + b₂)h/2, where b₁ and b₂ are the lengths of the parallel sides and h is the height.
Let's assume that the length of the top parallel side of the trapezoid is 20 inches, the length of the bottom parallel side is 10 inches, and the height is 15 inches.
Using the formula, we get A = (20 + 10) x 15 / 2 = 225 square inches. This is the area of the window.
To find the area of the poster board, we multiply the length and width, which gives 25 x 60 = 1500 square inches.
Finally, we subtract the area of the window from the area of the poster board using the equation:
1500 - 225 = 1275 square inches.
Therefore, the amount of poster board left over will be 1275 square inches.
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The complete question is
Ole has a window that has the dimensions and shape like the trapezoid shown below. He also has a large rectangular piece of poster board that measures 25 inches by 60 inches. If Ole cuts out a piece of poster board that is exactly the same size as the window, which equation can be used to calculate the amount of poster board that will be left over?
You can afford a $400 per month car payment. You've found a 5 year loan at 2% interest. How big of a loan can you afford?
The loan's Present Value for which you can afford a $400 monthly payment for a car for 5 years at 2% interest should be as big as $22,820.94.
What is the present value?The present value is the discounted monthly payments at an interest rate for a period.
The present value can be determined using an online finance calculator as follows.
N (# of periods) = 60 months (5 years x 12)
I/Y (Interest per year) = 2%
PMT (Periodic Payment) = $400
FV (Future Value) = $0
Results:
Loan size (Present Value) = $22,820.94
The sum of all periodic payments = $24,000.00
Total Interest = $1,179.06
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the temperatures at midday on march 1st in five cities are shown in the bar chart below. What is the difference in temperature between rome and munich?
The difference in temperature between Rome and Munich is given as follows:
6ºC.
How to obtain the difference in temperatures?The difference in temperature between Rome and Munich is given by the subtraction of Rome's temperature by Munich's temperature.
The bar graph in the context of this problem gives the temperature for each town.
From the bar graph given by the image presented at the end of the answer, the temperatures for Rome and Munich are given as follows:
Rome: 11 ºC.Munich: 5 ºC.Hence the difference in temperature between Rome and Munich is given as follows:
11 - 5 = 6ºC.
Missing InformationThe graph is given by the image presented at the end of the answer.
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How do I divide this somebody please help
Answer:
3
Step-by-step explanation:
factorize whats common in the question
division turns to multiplication by Inverwing the fraction
at the end of the day you will be left with 3
I hope you understand
Which graph shows the solution to the inequality?
The solutions of the given inequality is: x ≥ -1 or x ≤ -5, the correct number line is 2nd.
To solve the inequality |x + 3| ≥ 2, we need to consider two cases:
Case 1: (x + 3) ≥ 2
If x + 3 is greater than or equal to 2, then the absolute value of (x + 3) will also be greater than or equal to 2. Solving this case:
x + 3 ≥ 2
x ≥ 2 - 3
x ≥ -1
So, for this case, the solution is x ≥ -1.
Case 2: -(x + 3) ≥ 2
If -(x + 3) is greater than or equal to 2, then the opposite of (x + 3) will also be greater than or equal to 2. Solving this case:
-(x + 3) ≥ 2
x + 3 ≤ -2
x ≤ -2 - 3
x ≤ -5
So, for this case, the solution is x ≤ -5.
Combining the solutions from both cases, we have the final solution:
x ≥ -1 or x ≤ -5
Hence the number line showing the given inequality is 2nd.
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7 x 7 87 x 9 999 x 866 what is my out come
Answer:
47703169206
Step-by-step explanation:
7 x 787 x 9999 x 866 = 47703169206 via the process of multiplication
Answer:
8,9740 that is your answer and then I hope you have a good day and hope this helps
160 students went on a field trip. Five buses were filled and 15 students traveled in cars. How many students were in each bus?
Each bus had ____ students.
The following are the populations for the top twelve largest cities in the U. S. New York City, NY: 8,336,817 Los angeles CA: 979.576 Chicago, il:2,693,976 Houston, TX: 2,320,268 Phoenix AZ: 1,680,992 Philadelphia PA: 1,584,064 San Antonio TX: 1, 547,253 San Diego CA: 1,423,851 Dallas TX: 1,343,573 San Jose CA: 1,021,795 Austin TX:978,908 Jacksonville FL: 911,507. What is the mean population?, what is the median population?, what is the mode?, what is range?, what is the standard Deviation?
Mean: Mean = (8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507) / 12=2688602
Median = 1,643,032
Mode: Determine the value(s) that appear most frequently in the population list. In this case, there is no mode as none of the population values repeat.
Range = 8,336,817 - 911,507 = 7,425,310.
Standard Deviation = √( Σ ( xi - μ )² / N )
To find the mean, median, mode, range, and standard deviation of the given population data for the top twelve largest cities in the U.S., we can perform the following calculations:
Performing these calculations will yield the mean population, median population, mode (if any), range, and standard deviation of the given population data for the top twelve largest cities in U.S .
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Use the Law of Cosines to solve the problem. You must solve for BC first. Solve this problem in order.
A ship travels due west for 94 miles. It then travels in a northwest direction for 119 miles and ends up 173 miles from its original position. To the nearest tenth of a degree, how many degrees north of west (x) did it turn when it changed direction? Show your work.
In a case whereby A ship travels due west for 94 miles. It then travels in a northwest direction for 119 miles and ends up 173 miles from its original position the degrees north of west it turned is 72°
How can the degree be calculated?From trigonometry, the law of cosines states the side c of a triangle can be found as
c² = a² + b² - 2abcos(C)
where
C = angle opposite to side c.
a and = lengths of the other sides.
a = 94, b = 119, c = 173.
c² = a² + b² - 2abcos(C)
173² = 94² + 119² - 2 x 94 x 119cos(C)
22327cos(C) = -6932
cos(C) = -6932/22327
C = arccos(-6932/22327)
C = 108º.
Then,
T = 180 - C
= 180 - 108 = 72º.
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A total of 605 tickets were sold for the school play. They were either adult tickets or student tickets. There were 55 more student tickets sold than adult tickets. How many adult tickets were sold?
Create an example that will show and explain the difference between
- band b-1
Band B-1 is a band of the electromagnetic spectrum that is used for cellular communications. It is located in the 2100 MHz frequency range.
How to explain the informationBand B-2 is also a band of the electromagnetic spectrum that is used for cellular communications. It is located in the 1900 MHz frequency range.
The main difference between band B-1 and band B-2 is their range. Band B-1 has a longer range than band B-2. This is because it is located in a higher frequency range. Higher frequency ranges have shorter wavelengths, which means that they can travel through objects more easily. This makes them better for use in areas where there are a lot of obstacles, such as buildings and trees.
Band B-2 has a shorter range than band B-1, but it is better for use in areas where there are a lot of people. This is because it is located in a lower frequency range
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You walk along the outside of a park starting at point P to point Q. You then take a shortcut back to point P, represented by PQ on the graph.
The length of the shortcut is 1 mile
The total length of your walk in the park is 1.4 miles
Given that you walk along the outside of a park starting at point P to point Q
The point P is at (0, 0)
The point Q is located at (0.6, 0.8)
We have to find the length of the shortcut
Distance=√(x₂-x₁)²+(y₂-y₁)²
PQ=√(0.6-0)²+(0.8)²
=√0.36+0.64
=√1 units
=1 mile
The total length of the park is PR+RQ
PR=√(0.6-0)²
=0.6
RQ==√(0.8-0)²
=0.8
The total length is 0.6+0.8
Which is 1.4 miles
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
1. The proportion is; x/4 = 12/18
2. The height of the mailbox is 2.7 feet
What is proportion?In mathematics, a proportion is an equation that states that two ratios are equal. It expresses the relationship between the quantities in terms of their relative sizes or magnitudes. Proportions are used in various areas of mathematics and real-life applications, such as ratios
We have;
Length of the mail box shadow = 4 feet
Length of the tree shadow = 18 feet
Height of the mail box = x
Height of the tree = 12 feet
Thus;
x/4 = 12/18
x = 4 * 12/18
x = 2.7 feet
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Over the past few years Donald made 4 trips to the amusement park he drove 399KM in all the distance traveled by him on each trip to the park is
Donald traveled approximately 100 kilometers on each of his trips to the amusement park.
Now, the distance Donald traveled on each of his trips to the amusement park.
If he drove a total of 399 kilometers over the course of four trips, we can find the average distance he traveled per trip by dividing the total distance by the number of trips.
So, We get;
= 399 divided by 4
= 399 / 4
= 99.75 kilometers per trip
≈ 100 kilometers per trip.
Therefore, Donald traveled approximately 100 kilometers on each of his trips to the amusement park.
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