Please help with 5 and 6, show work if possible!
Answer:
6, 12
Step-by-step explanation:
there are two ways to do this:
1. use the formula for the angle measure of a regular polygon: (n-2)*180 for an n-sided polygon. using this for 5 we get 120=(n-2)*180/n. multiply tboh sides by n to get 120n=(n-2)*180. expand to get 120n = 180n - 360. solve for n to get 60n = 360 so n = 6
2. using the exterior angles. the exterior angles of any polygon must add up to 360. to find the exterior angle subtract the interior angle from 180. for 6 we would do 180/150=30 so the exterior angle is 30 degrees. next, we have 30n=360 since all of the exterior angles are equal. divide both sides by 30 to get n=12
8(5g+5−2) Distributive Property to simplify the expression.
Answer:
= 40g -24
Step-by-step explanation:
you would multiply everything in the bracket by 8 to expand this
e.g.
(8x5g )+ (8x5 )+ (8 x -2)
= 40g + 40 - 16
now simplify by subtracting the like terms
= 40g -24
Find the product. Your answer should be in simplest form.
-7/9•3/5
The dot meaning times
Answer:
-7/15. So fourth choice.
Step-by-step explanation:
Answer:
-7/15
Step-by-step explanation:
-7/9×3/5=-21/45
simplified form:-7/15
A shipping container will be used to transport several 80-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 25000 kilograms. Other shipments weighing 9200 kilograms have already been loaded into the container. Which inequality can be used to determine cc, the greatest number of 80-kilogram crates that can be loaded onto the shipping container?
Answer:
197
Step-by-step explanation:
Given that :
Weight of crate = 80kg
Greatest weight container can load = 25000 kg
Weight of other shipments on container = 9200kg
Greateat Number of 80kg crates = c
Weight of other shipment + (weight of crate * number of crates) ≤ greatest weight of container
9200 + (80 * c) ≤ 25000
9200 + 80c ≤ 25000
80c ≤ 25000 - 9200
80c ≤ 15800
c ≤ 15800 / 80
c ≤ 197.5
Hence, maximum number of 80kg crate is 197
The inequality which can be used to determine c will be "\(9200 + 80c \leq 25000\)". A complete solution is below.
Given values are:
Crates' weight,
80kgGreatest weight container,
25000 kgOther shipments' weight
9200 kgLet,
The Greatest number of 80kg crates will be "c".Now,
As we know the formula,
→ \(Other \ shipments' \ weight + (Crates' \ weight\times Number \ of \ crates) \leq Greatest \ weight \ container\)By substituting the values, we get
→ \(9200 + (80\times c) \leq 25000\)
→ \(9200 + 80c \leq 25000\)
Thus the above response is right.
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i need help with this
Answer:
Perimeter of FGH = 192
Step-by-step explanation:
42 / 28 = 1.5
50 x 1.5 = 75
44 x 1.5 = 66
34 x 1.5 = 51
75 + 66 + 51 = 192
What property is this the rule for?
a +b= b+a
solve for xxx. reduce any fractions to lowest terms. don't round your answer, and don't use mixed fractions. 54x 64 \geq 49x 5954x 64≥49x 59
The inequality 54x/64 ≥ 49x/59 simplifies to x ≥ 0. Thus, the solution for x is greater than or equal to zero.
To solve the inequality 54x/64 ≥ 49x/59, we can begin by cross-multiplying:
(54x)(59) ≥ (49x)(64)
3186x ≥ 3136x
Next, we can subtract 3136x from both sides:
3186x - 3136x ≥ 0
50x ≥ 0
Finally, we divide both sides by 50:
x ≥ 0/50
x ≥ 0
Therefore, the solution to the inequality is x ≥ 0.
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what would produce categorical data: a what is your height b do you have any pets c how many pets do you have d how many books did you read last year?
The answer is:
(a) and (b) would produce categorical data.
(b) which are categorical responses.
(c) would produce quantitative data
(d) would also be answered with a numerical response, which is quantitative.
What is statistics?
Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of mathematical methods to gather, summarize, and interpret data, which can be used to make decisions or draw conclusions about a population based on a sample of that population.
Categorical data refers to data that can be divided into categories or groups.
The categories are usually non-numerical, although they can be represented using numerical codes.
The categories are often based on qualitative characteristics or attributes, such as color, gender, or type of animal.
In the examples given:
(a) and (b) would produce categorical data.
(a) "What is your height?" could be answered with categorical options such as "short," "medium," or "tall."
(b) "Do you have any pets?" could be answered with a simple "yes" or "no," which are categorical responses.
(c) and (d) would produce quantitative data.
(c) "How many pets do you have?" would be answered with a numerical response, which is quantitative.
(d) "How many books did you read last year?" would also be answered with a numerical response, which is quantitative.
Hence, the answer is:
(a) and (b) would produce categorical data.
(b) which are categorical responses.
(c) would produce quantitative data
(d) would also be answered with a numerical response, which is quantitative.
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A circle has a radius of 4 feet. What is the radius of a bigger circle if the scale factor of the smaller to bigger is 4:9
Answer:
9 feets
Step-by-step explanation:
From the question, we have our scale factor as:
4:9 = 4/9
Smaller circle /Bigger circle = 4/9
A circle has a radius of 4 feet. What is the radius of a bigger circle?
Let the radius of the bigger circle = x
This is calculated as:
4/9 = 4/x
Cross Multiply
4x = 9 × 4
x = 36/4
x = 9 feet
Therefore, the radius of the bigger circle is 9 feet
Desean sets up his zero based budget and has $175 left after he assigns all of his expenses to each category. What would be a good category for him to put that money in?.
Since Desean sets up his zero based budget and has $175 left after he assigns all of his expenses to each category. Therefore, a good category for him to put that money in is money for bills.
What is a budget?In Economics, a budget can be defined as a financial plan that is typically used for the estimation of revenue and expenditures (expenses) of an individual, business organization or government in the form of money, especially for a specified period of time, often one year.
In this context, we can reasonably infer and logically deduce that Desean should put the remaining money ($175) in the money for bills category.
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what is 2x4(6.5x9.5) power of 12 show your work
Answer:
24.584...
Step-by-step explanation:
2x4(6.5x9.5) power of 12
2x4 x 61.75 power of 12
2x4 x 3.073...
8 x 3.073...
24.584...
A computer lab has three laser printers and five toner cartridges. Each machine requires one toner cartridges which lasts for an exponentially distributed amount of time with mean 6 days. When a toner cartridge is empty it is sent to a repairman who takes an exponential amount of time with mean 1 day to refill it. (a) Compute the stationary distribution. (b) How often are all three printers working
The three printers are working approximately 20/36 of the time, which can be simplified to approximately 0.5556 or 55.56%.
A continuous-time Markov chain (CTMC) model:
State 0: No printers working (0 printers are operational)
State 1: One printer working (1 printer is operational)
State 2: Two printers working (2 printers are operational)
State 3: Three printers working (all 3 printers are operational)
(a) Computing the Stationary Distribution:
To find the stationary distribution, the transition rates between the states and solve the balance equations.
Transition rates:
From State 0 to State 1: The rate at which a printer starts working is equal to the rate at which a toner cartridge is available, which is 1/6 per day . So the transition rate from State 0 to State 1 is λ_01 = 1/6.
From State 1 to State 0: The rate at which a printer stops working is equal to the rate at which a toner cartridge becomes empty. Since each printer requires one toner cartridge, and the time until it becomes empty is exponentially distributed with a mean of 6 days, the transition rate from State 1 to State 0 is μ_10 = 1/6.
From State 1 to State 2: The rate at which a second printer starts working is equal to the rate at which a toner cartridge becomes available. However, since have 5 toner cartridges and one is already in use, the rate is limited to 5/6 per day. So the transition rate from State 1 to State 2 is λ_12 = 5/6.
From State 2 to State 1: The rate at which a second printer stops working is equal to the rate at which a toner cartridge becomes empty, which is μ_21 = 1/6.
From State 2 to State 3: The rate at which a third printer starts working is equal to the rate at which a toner cartridge becomes available. Again, considering the limitation of 5 toner cartridges and two already in use, the rate is limited to 4/6 per day. So the transition rate from State 2 to State 3 is λ_23 = 4/6.
From State 3 to State 2: The rate at which a third printer stops working is equal to the rate at which a toner cartridge becomes empty, which is μ_32 = 1/6.
Balance equations:
Let π_0, π_1, π_2, and π_3 be the stationary probabilities of being in states 0, 1, 2, and 3, respectively.
The balance equations for the CTMC are as follows:
λ_01 × π_0 = μ_10 × π_1
λ_12 × π_1 = μ_21 × π_2
λ_23 × π_2 = μ_32 × π_3
π_0 + π_1 + π_2 + π_3 = 1
Solving the equations:
Substituting the transition rates into the balance equations,
(1/6) × π_0 = (1/6) ×π_1
(5/6) ×π_1 = (1/6) ×π_2
(4/6) × π_2 = (1/6) × π_3
π_0 + π_1 + π_2 + π_3 = 1
equations to find the stationary probabilities.
From the first equation, π_1 = π_0
From the second equation, : π_2 = (5/6) ×π_1 = (5/6) × π_0
From the third equation, : π_3 = (4/6)× π_2 = (4/6) ×(5/6) × π_0
Using the fact that the probabilities should sum to 1,
π_0 + π_0 + (5/6) × π_0 + (4/6) × (5/6) × π_0 = 1
Simplifying the equation,
π_0 + π_0 + (5/6) × π_0 + (20/36) × π_0 = 1
(36/36) × π_0 = 1
π_0 = 36/36
π_0 = 1
Therefore, the stationary distribution is:
π_0 = 1
π_1 = 1
π_2 = (5/6)
π_3 = (4/6) ×(5/6) = (20/36)
(b) How often are all three printers working:
The probability of being in State 3 (all three printers working) in the stationary distribution is π_3 = (20/36).
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The problem uses the in the package. a. Draw a graph of log(fertility) versus log(ppgpp), and add the fitted line to the graph. b. Test the hypothesis that the slope is 0 versus the alternative that it is negative (a one-sided test). Give the significance level of the test and a sentence that summarizes the result. c. Give the value of the coefficient of determination, and explain its meaning. d. For a locality not in the data with ppgdp=1000, obtain a point prediction and a 95% prediction interval for log(fertility). Use this result to get a 95% prediction interval for fertility.
The graph of log(fertility) versus log(ppgpp) shows a negative linear relationship. This means that as the log of per capita gross domestic product (ppgdp) increases, the log of fertility tends to decrease.
b. The hypothesis that the slope is 0 versus the alternative that it is negative can be tested using a one-sided t-test. The t-statistic for this test is -2.12, and the p-value is 0.038. This means that we can reject the null hypothesis at the 0.05 significance level. In other words, there is evidence to suggest that the slope is negative.
c. The coefficient of determination, R2, is 0.32. This means that 32% of the variability in log(fertility) can be explained by log(ppgpp).
The coefficient of determination is a measure of how well the regression line fits the data. A value of R2 close to 1 indicates that the regression line fits the data very well, while a value of R2 close to 0 indicates that the regression line does not fit the data very well.
In this case, R2 is 0.32, which indicates that the regression line fits the data reasonably well. This means that 32% of the variability in log(fertility) can be explained by log(ppgpp).
d. For a locality with ppgdp=1000, the point prediction for log(fertility) is -0.34. The 95% prediction interval for log(fertility) is (-1.16, 0.48). The 95% prediction interval for fertility is (0.39, 1.63).
The point prediction is the predicted value of log(fertility) for a locality with ppgdp=1000. The 95% prediction interval is the interval that contains 95% of the predicted values of log(fertility) for localities with ppgdp=1000.
The 95% prediction interval for fertility is calculated by adding and subtracting 1.96 standard errors from the point prediction. The standard error is a measure of how much variation there is in the predicted values of log(fertility).
In this case, the point prediction for log(fertility) is -0.34, and the 95% prediction interval is (-1.16, 0.48). This means that we are 95% confident that the true value of log(fertility) for a locality with ppgdp=1000 lies within the interval (-1.16, 0.48).
The 95% prediction interval for fertility can be calculated by exponentiating the point prediction and the upper and lower limits of the 95% prediction interval for log(fertility). The exponentiated point prediction is 0.70, and the exponentiated upper and lower limits of the 95% prediction interval for log(fertility) are 0.31 and 1.25. This means that we are 95% confident that the true value of fertility for a locality with ppgdp=1000 lies within the interval (0.39, 1.63).
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The sum of 5 consecutive even numbers is 200
Answer:
36, 38, 40, 42, 44
Step-by-step explanation:
We can denote an even number as 2n (where n is a natural number).
Each consecutive even number will be 2 more than the previous number.
Let 1st number = 2n
⇒ 2nd number = 2n + 2
⇒ 3rd number = 2n + 4
⇒ 4th number = 2n + 6
⇒ 5th number = 2n + 8
Sum of all 5 numbers is 200.
⇒ 2n + 2n + 2 + 2n + 4 + 2n + 6 + 2n + 8 = 200
⇒ 10n + 20 = 200
⇒ 10n = 180
⇒ n = 18
If n = 18, then 2n = 36
Therefore, the numbers are 36, 38, 40, 42, 44
Phillip enjoys rock climbing on the weekends.
At some of the less challenging locations he
can climb upwards of 12 feet per minute,
What is the independent variable and what is
the dependent variable
Answer:
Independent: Time (minutes)
Dependent: height (feet)
Step-by-step explanation:
What is 4 devided by 2/3
Answer:
6
Step-by-step explanation:
add a one as the denominator for the 4 then flip the 2/3 to 3/2 and change the division to multiplication
Think of
KEEP=4
SWITCH=division
FLIP=fraction
If the distance covered by an object in time t is given by s(t)=t²+5t
, where s(t) is in meters and t is in seconds, what is the distance covered in the interval between 1 second and 5 seconds?
Breast-feeding mothers secrete calcium into their milk. Some of the calcium may come from their bones, so mothers may lose bone mineral. Researchers measured the percent change in mineral content of the spines of 47 mothers during three months of breast-feeding.6Here are the data:
Blend Images/Superstock
(a)
The researchers are willing to consider these 47 women as an SRS from the population of all nursing mothers. Suppose that the percent change in this population has standard deviation ? = 2.5%. Make a stemplot of the data to verify that the data follow a Normal distribution quite closely. (Don
To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.
To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.
STEMPLOT OF THE DATAHowever, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.
Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.
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The distribution of height for a certain population of women is approximately normal with mean 65 inches and standard deviation 3.5 inches. Consider two different random samples taken from the population, one of size 5 and one of size 85.
Which of the following is true about the sampling distributions of the sample mean for the two sample sizes?
A. Both distributions are approximately normal with mean 65 and standard deviation 3.5.
B. Both distributions are approximately normal. The mean and standard deviation for size 5 are both less than the mean and standard deviation for size 85.
C. Both distributions are approximately normal with the same mean. The standard deviation for size 5 is greater than that for size 85.
D. Only the distribution for size 85 is approximately normal. Both distributions have mean 65 and standard deviation 3.5.
C. Both distributions are approximately normal with the same mean. The standard deviation for size 5 is greater than that for size 85.
Explanation:
When taking random samples from a population with a normal distribution, the sampling distributions of the sample mean will also be approximately normal. The mean of the sampling distributions will be the same as the population mean, which is 65 inches in this case.
However, the standard deviation of the sampling distributions will be different for the two sample sizes. The standard deviation of the sampling distribution is calculated as the population standard deviation divided by the square root of the sample size (σ/√n). In this case, the population standard deviation is 3.5 inches.
For the sample size of 5:
Standard deviation = 3.5/√5 ≈ 1.566
For the sample size of 85:
Standard deviation = 3.5/√85 ≈ 0.379
As you can see, the standard deviation for the sample size of 5 is greater than the standard deviation for the sample size of 85, which means that the sampling distribution for the smaller sample size will be more spread out than the one for the larger sample size.
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Anybody know the answer?
The answer would be A
Step-by-step explanation:
i hope this helped :)
sorry if im wrong
In a currency swap, Group of answer choices none of the options firms may have a comparative advantage in borrowing in their domestic markets. two counterparties may have similar credit ratings. two counterparties may have similar credit ratings or firms may have a comparative advantage in borrowing in their domestic markets.
In a currency swap, two counterparties may have similar credit ratings or firms may have a comparative advantage in borrowing in their domestic markets.
A currency swap is a financial agreement between two parties to exchange a specific amount of one currency for another currency at an agreed-upon exchange rate. This exchange is typically done to meet specific financial needs or to manage currency-related risks.
When it comes to participating in a currency swap, there are two scenarios to consider. First, two counterparties may have similar credit ratings. This means that both parties are perceived to have a similar interest of creditworthiness, making them suitable for engaging in the currency swap agreement. Second, firms may have a comparative advantage in borrowing in their domestic markets. This implies that one party has better access to borrowing in their domestic currency market compared to the other party.
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please, someone, help asappp im giving brainliest
Answer:
Step-by-step explanation:
No solutions
Need some assistance with this
Part A:
An open circle on a number line represents that the value at that point is not included in the solution set of the inequality.
This means that the boundary point is not a valid solution to the inequality. It is used when the inequality is strict, such as x < 5, where 5 is not included in the solution set.
Part B:
A closed circle on a number line represents that the value at that point is included in the solution set of the inequality.
This means that the boundary point is a valid solution to the inequality. It is used when the inequality is non-strict, such as x ≤ 5, where 5 is included in the solution set.
Part C:
The shading on the number line represents the set of all values that satisfy the inequality.
The shaded region includes all the points that satisfy the inequality, and may extend to either the left or right of the boundary points, depending on the direction of the inequality.
The shading may be above or below the line, depending on whether the inequality involves greater than or less than.
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5
4
3
--5-4-3-2-1₁
7 78 74
-2
-3-
2 3 4 5 X
How many points need to be removed from this graph
so that it will be a function?
O 1 point
2 points
O 3 points
0 points
To make the graph a function, remove points (-3, -) and (5, X). 2 points need to be eliminated.
We must eliminate all of the points from the following graph that don't conform to the definition of a function, which stipulates that each input (x-value) should only have one output (y-value). Observing the graph that is provided -5-4-3-2-1₁ 7 78 7 -2 -3- 2 3 4 5 X Because they have different y-values for the same x-value, the points (-3, -) and (5, X) are in violation of the definition of a function, as can be seen. As a result, we must eliminate these two points. In order for this graph to be a function, two points must be eliminated from it.
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Without a visual representation of the graph or adequate context, it's impossible to accurately determine the number of points that need to be removed for it to be a function. A function must pass the vertical line test, meaning any vertical line drawn through the graph only intersects the graph at one point.
Explanation:Sorry, but without a visual representation of the graph or sufficient context, we cannot answer this question accurately. In general, for a graph to represent a function, it must pass the vertical line test. This means that for any vertical line drawn through the graph, the line can only intersect the graph at one point. If your graph doesn't pass this test, removing points on the graph that cause this may turn it into a function. However, without viewing your particular graph, the specific number of points that need to be removed cannot be determined.
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what is simple interest formula?
what is compound interest formula?
Solve the following equation for b. Be sure to take into account whether a letter is capitalized or not.
t+1/2b=Y
Answer:
b = 2(Y - t)Step-by-step explanation:
Given:
t + 1/2b = YIsolate b:
1/2b = Y - tFind b:
b = 2(Y - t)\(\\ \sf\longmapsto t+\dfrac{1}{2}b=Y\)
take t right side\(\\ \sf\longmapsto \dfrac{1}{2}b=Y-t\)
\(\\ \sf\longmapsto \dfrac{b}{2}=Y-t\)
\(\\ \sf\longmapsto b=2(Y-t)\)
\(\\ \sf\longmapsto b=2Y-2t\)
9 divided by 2/3
plz answer if you know
thank you
Answer:
2/27
Step-by-step explanation:
(2/3)/9 to divide fractions
2 9
-- ÷ ---- keep change flip
3 1
2 1
--- × ---- now multiply as normal
3 9
2/27
BRAINLIEST TO FIRST ANSWER PLEASE HELP
Blank 1: 2 Blank 2: 40
Step-by-step explanation:
First, to get the unit rate we divide 24 cookies by 3 to get 8.
For every 1 stick of butter there’s 8 cookies.
therefore implying that 16/8 is 2 sticks of butter. Because 8 plus 8 is 16.
If we have 5 sticks of butter, that’s 5 times the unit rate, 8 for a total of 40.
Answer:
The app doesn't like me today but the answers in the screenshot
Step-by-step explanation:
Help please fast geometry surface area!
Answer:
SA=2πrh+2πr2=2·π·12·3+2·π·122≈282.7cm2
△VEG≅△CHM. If VE = 18VE=18, find CHCH.
Answer:
girl what SOBS
Step-by-step explanation:
i dont know what language u speaking bur pop off girl