Answer:
Step-by-step explanation:
84848093
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 26500
kilograms. Other shipments weighing 6300 kilograms have already been loaded into
the container. Write and solve an inequality which can be used to determine x, the
number of 80-kilogram crates that can be loaded into the shipping container.
Answers:
The inequality to solve is \(80x+6300 \le 26500\)The solution to the inequality is \(x \le 252.5\)Interpretation: The most crates we can load is 252 since we can only load a positive whole number of crates, and because 253 is too many.==============================================================
Explanation:
x = number of 80-kilogram crates
x is some positive whole number
1 crate weighs 80 kilograms, so x of them will weigh 80x kilograms.
This is added on top of the 6300 kg from the other cargo already on board.
We have a total weight of 80x+6300. Let's call this T.
So T = 80x+6300
We want T to be 26500 or smaller. Otherwise, we've gone over capacity.
This must mean we want \(T \le 26500\) which is the same as saying \(80x+6300 \le 26500\) after replacing T with 80x+6300.
---------------------------
Let's follow PEMDAS in reverse to isolate x
\(80x+6300 \le 26500\\\\80x+6300-6300 \le 26500-6300 \ \text{ ... subtract 6300 from both sides}\\\\80x \le 20200\\\\\frac{80x}{80} \le \frac{20200}{80} \ \text{ ... divide both sides by 80}\\\\x \le 252.5\\\\\)
The inequality sign stays the same the entire time. It would only flip if we divided both sides by a negative number.
In the last step, we get a decimal value. However, as stated earlier, x is a positive whole number.
We cannot round to 253 because that's too high. We can check x = 253 is too high by noticing that...
80x+6300 = 80*253+6300 = 26,540
which is over the 26,500 mark by 40 kg
So we must round down to the nearest whole number and find that x = 252 is the largest x value possible. Let's check to see if we're under the weight limit
80x+6300 = 80*252+6300 = 26,460
We're under the 26,500 weight limit (with 40 kg to spare)
In short, the most crates that we can load is 252 crates in addition to the other cargo that collectively weighs 6300 kg (which may or may not consist of those 80-kilogram crates).
The joint probability density of the two random variables X and Y is given by ye-v(+1) if x ≥ 0, y ≥ 0 f(x, y) = 0 else. a) Show that f(x, y) is indeed a probability density,
After considering the given data we conclude f(x, y) is not a probability density, since it does not satisfy the second condition.
To describe that f(x, y) is indeed a probability density, we have to verify that it satisfies the following two conditions:
f(x, y) is non-negative for all values of x and y.
The integral of f(x, y) over the entire plane is equal to 1.
For the joint probability density function \(f(x, y) = ye^{(-v) (+1)} if x \geq 0, y \geq 0\)and f(x, y) = 0 otherwise, we can describe that it satisfies both of these conditions as follows:
For all values of x and y, we have
\(f(x, y) = ye^{(-v) (+1)} if x \geq 0, y \geq 0 and f(x, y) = 0\) otherwise.
Then y and \(e^{(-v) (+1)}\) are both non-negative for all values of x and y, it follows that f(x, y) is non-negative for all values of x and y.
To evaluate the integral of f(x, y) over the entire plane, we can integrate f(x, y) with concerning both x and y over their entire ranges:
\(\int \int f(x, y) dxdy = \intb\int ye^{(-v)(+1)} dx dy\)
Since the function \(ye^{(-v) (+1)}\) is non-negative for all values of x and y, we can integrate it over the entire plane by integrating it over the first quadrant and then multiplying by 4:
\(\int\int ye^{(-v) (+1)} dx dy = 4\int\int ye^{(-v) (+1)} dx dy\)
\(= 4\int0\int\infty ye^{(-v) (+1)} dx dy\)
\(= 4\int0\infty y \int0\infinity e^{(-v) (+1)} dx dy\)
\(= 4\int 0\infty y [-e^{(-v) (+1)} ]0\infty dy\)
\(= 4\int0\infty y (0 - (-1)) dy\)
\(= 4\int 0\infty y dy\)
\(= 4[(y^2)/2]0\infty\)
\(= 2\infty ^2\)
\(= \infty\)
Therefore, the integral of f(x, y) over the entire plane is equal to\(\infty\) , which means that f(x, y) is not a probability density.
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Why is IT important to integrate information?
Data integration combines data collected from various platforms to increase its value for your company. It enables your staff to collaborate more effectively and provide more for your clients.So IT is important to integrate information.
The combining of data from diverse sources with various conceptual, contextual, and typographic representations is known as information integration. It is utilised for data aggregation and mining from unstructured or partially organised sources. You may connect all of your data, people, and processes in a single solution by using an integrated solution. Today's top HSEQ management teams regard this strategy as best practise. The justification for this is straightforward: it improves reporting, efficiency, uniformity, speed, and ease of use. An integrated report's main goal is to describe to financial capital providers how a company builds, protects, or loses value over time. As a result, it includes pertinent information, both financial and otherwise.
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What is the slope in the equation:Y= 10/3x + 2
Answer:
Use the slope-intercept form y = mx + b to find the slope.
m = 10/3
Step-by-step explanation:
Hope this helps, have a good day
Pls help brainiest to the correct answer!
Answer:
a) 9, b) 87, c) - 2, d) - 9Step-by-step explanation:
a) - 2 * (- 4.5) = 9b) (- 8.7) * (- 10) = 87c) (- 7) * (-2) = 14d) (- 9) * (- 10) = 90#a
\(\\ \sf{:}\dashrightarrow -2(-4.5)=9.0\)
#b
\(\\ \sf{:}\dashrightarrow (-8.7)(-10)=8.7\)
#c
\(\\ \sf{:}\dashrightarrow (-7)(-2)=14\)
#d
\(\\ \sf{:}\dashrightarrow (-9)(-10)=90\)
A clay specimen, 25 mm thick, has been tested in an oedometer apparatus with two way rainage, and it is observed that 50% of the consolidation settlement occurs in 1 hour. A ayer of the same clay is observed to settle 10 mm in 10 years and after many years to settle (total primary consolidation) by 35 mm. Determine the thickness of the clay layer if it drains only from upper surface
The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.
The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.
Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.
Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.
To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.
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BRAINLIEST 1+1+1+1+1+1+1+2424+342+8482384-83838+2333232842852948+284884494924929040294099304-9392382948394892928492848+444+490539532-344435345=
Answer:
2.7549211e+26
hope this helps!
add me as a friend if you can:)
Answer:
You can copy and paste your question into go.ogle and then you can find the answer.
A school principal is buying chairs and desks from a furniture supplier.
The chairs cost $110 each.
The desks cost $70 each.
The principal wants to buy at least 100 pieces of furniture.
The principal wants to spend no more than $9,400.
Which system of inequalities can be used to determine the possible numbers of chairs, c, and desks, d, the principal can buy?
Jc+ds 100
110c + 70d 29,400
6
c+d s 100
70c + 110d 29,400
c+d2 100
moog10/0
d
100
70c + 110d s 9,400
Answer:
I think the answer would be C!
Step-by-step explanation:
I am taking the test now, I think that would be the only one that makes sense. I am sorry if I am wrong.
What is the total surface area of the figure below? Give your answer to the nearest tenth place.
Answer:
193.2 cm^2
Step-by-step explanation:
Count the rectangles together so
(6 + 6 + 6)9 =
18 x 9 = 162 cm^2
then for the triangles
6 x 5.2 = 31.2 cm^2
since there's 2 with the same area there's no need to divide by 2
now add the areas
162 cm^2+ 31.2 cm^2= 193.2 cm^2
Given the following diagram, find the missing measure 2 m_2 = 2x°, m _3 = 5x, m 1 = 0 2x + 5% 5x - 2x 180 - 5x 180 - 7x
We know 3 angles sum to 180 degrees {in a triangle]. Thus, we can write:
\(\angle1+\angle2+\angle3=180\degree\)We are given Angles 2 and 3 and are told to find Angle 1. We substitute and do a bit algebra to figure Angle 1 out. The steps are shown below:
\(\begin{gathered} \angle1+\angle2+\angle3=180\degree \\ \angle1+2x+5x=180 \\ \angle1+7x=180 \\ \angle1=180-7x \end{gathered}\)The last answer choice is correct.
The point (-6, 7) would be in quadrant _____.
I
IV
III
II
Answer:
ll
Step-by-step explanation:
Answer:
II
Step-by-step explanation:
According to an article, 70% of high school seniors have a driver's license. Suppose we take a random sample of 300 high school seniors and find the proportion who have a driver's license. Find the probability that more than 73% of the sample have a driver's license. Begin by verifying that the conditions for the Central Limit Theorem for Sample Proportions have been met.
The probability that more than 73 % of the sample have a driver's license is
enter your response here.
(Type an integer or decimal rounded to three decimal places as needed.)
The probability that more than 73% of the sample of 300 high school seniors have a driver's license is 0.137, or 13.7%.
The Central Limit Theorem can be applied if the sample size is sufficiently large and if the population is at least 10 times larger than the sample.
In this case, the sample size is 300, which is larger than 30, and assuming there are at least 3,000 high school seniors in the population, the condition is met.
To find the probability that more than 73% of the sample have a driver's license, we need to standardize the sample proportion using the formula: z = (p - P) / sqrt(P * (1 - P) / n), where p is the sample proportion, P is the population proportion (0.70 in this case), and n is the sample size.
Plugging in the values, we get z = (0.73 - 0.70) / sqrt(0.70 * 0.30 / 300) = 1.095. Using a standard normal distribution table or calculator, we find that the probability of getting a z-score greater than 1.095 is 0.137, or 13.7%.
In summary, the probability that more than 73% of the sample of 300 high school seniors have a driver's license is 0.137, or 13.7%.
This indicates that it is not very likely to observe such a high proportion of students with a driver's license in the sample, assuming the population proportion is 70%.
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3x+4a=2px+1 Solve for x.
Answer:
I hope this helps
Step-by-step explanation:
\sqrt{-81} *\sqrt{-49}
Answer: -63
Work Shown:
\(\sqrt{-81} *\sqrt{-49}\\\\9i *7i\\\\63i^2\\\\63(-1)\\\\-63\\\\\)
The quadrilateral is a trapezoid. What is the value of x? if the top is 21 and the bottom is 27 and x is in the middleA) 4B) 5C) 48D) 25
The value of x for The quadrilateral which is a trapezoid is if the top is 21 and the bottom is 27 is option 2 that is 5.
Quadrilaterals called trapezoids have two parallel and two non-parallel sides. It also goes by the name Trapezium. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one. The bases of the trapezoid are the sides that are parallel to one another. Legs or lateral sides refer to the non-parallel sides. The height is the separation between the parallel sides.
From the given diagram, the expression below is true:
2(5x - 1) = 21 + 27
Expand
10x - 2 = 48
10x = 48 + 2
10x = 50
Divide both sides by 10
10x.10 = 50/10
x = 5
Hence the value of x is 5
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find the area of following figure...?
Answer:
33600 m²
Step-by-step explanation:
The top and bottom horizontal sides are parallel, so this is a trapezoid with bases DC and AB. The height is BC.
area of trapezoid = (a + b)h/2
where a and b are the lengths of the bases, and h is the height.
We need to find the height, BC.
Drop a perpendicular from point A to segment DC. Call the point of intersection E. E is a point on segment DC.
DE + EC = DC
EC = AB = 360 m
DC = 600 m
DE + 360 m = 600 m
DE = 240 m
Use right triangle ADE to find AE. Then BC = AE.
DE² + AE² = AD²
DE² + 240² = 250²
DE² = 62500 - 57600
DE² = 4900
DE = √4900
DE = 70
BC = 70 = h
area = (a + b)h/2
area = (600 m + 360 m)(70 m)/2
area = 33600 m²
Answer:
33,600 m^2.
Step-by-step explanation:
This is a trapezium, so
Area = (h/2)(a + b)
= (h/2) ( 360 + 600)
= 960h / 2
= 480h,
We find the value of h using Pythagoras:
250^2 = h^2 + (600-360)^2
h^2 = 250^2 - 240^2 = 4900
h = 70.
So the Area = 70 * 480
= 33,600 m^2
What is the value of the expression below when x=4x=4? 7x^2 +8x-7 7x 2 +8x−7
Answer: 137
Step-by-step explanation:
The given expression: \(7x^2 +8x-7\)
We need to find the value of the expression when x=4.
So we just use the substitution property and substitute the value of x= 4 in the given expression , we get
\(7(4)^2+8(4)-7\\\\= 7(16)+32-7\\\\= 112+25\\\\=137\)
Hence, the value of the expression at x=4 is 137.
everyone in this neighborhood owns a car. George lives in this neighborhood. Therefore, George owns a car. This is an example of
a. universal instantiation
b. existential generalization
c. existential instantiation d.universal generalization
The given statement "Everyone in this neighborhood owns a car. George lives in this neighborhood. Therefore, George owns a car." is an example of universal instantiation.
Universal instantiation is a valid logical inference rule that allows us to infer a specific instance from a universal statement. It is based on the idea that if a statement applies to every member of a group or category, then it must also apply to a specific individual within that group.
In the given statement, the universal statement is "Everyone in this neighborhood owns a car." This statement asserts that every member of the neighborhood owns a car. By applying universal instantiation, we can infer that George, who is a member of this neighborhood, also owns a car. This inference is valid because George is part of the group described by the universal statement, and thus the statement applies to him as well.
To further understand this concept, let's break down the options provided:
a. Universal instantiation: This is the correct answer. It refers to the process of deriving a specific instance from a universally quantified statement.
b. Existential generalization: This rule allows us to infer the existence of at least one instance based on specific instances. It is not applicable to the given statement.
c. Existential instantiation: This rule allows us to introduce a new instance based on the existence of a specific instance. It is not applicable to the given statement.
d. Universal generalization: This rule allows us to infer a universally quantified statement from specific instances. It is not applicable to the given statement.
In conclusion, the example provided is an instance of universal instantiation because it derives a specific instance (George owning a car) from a universally quantified statement (everyone in the neighborhood owning a car).
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you are going to the movie theater with your grandparents and your 5 year old brother. if you spent an additional $20 on soda and popcorn, what is the total cost of your trip to the movie theater? responses $23.50 $23.50 $7.25 $7.25 $20.00 $20.00 $43.50
The total cost of your trip to the movie theater is $43.50.
The total cost will be the sum of money spent on ticket and soda and popcorn.
Ticket cost for or cost price of Ticket for:
5 years old brother = $4.25
Grandparents = $6.00 × 2 = $ 12.00
For self= $7.25
Total cost of tickets = $4.25 + $ 12.00 + $ 7.25
= $ 23.50
Total Money spent = Cost of ticket + cost of soda and popcorn
= $ 23.50 + $20
= $ 43.50
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suppose you used teh equation for the line of best fit to predict the number of hot apple ciders that would be sold on a day when the high temperature is 15F. How far off would you be from the actual data
In question 1, you found the cubes of both positive and negative numbers. Does x = 8 have two solutions as x2 = 4 does? Why or why not?
No.
1) Because in the cubic root of 8, as below represented in this function:
\(\begin{gathered} f(x)\text{ =}\sqrt[3]{x} \\ f(8)\text{ =}\sqrt[3]{8}\text{ = 2} \\ f(-8)\text{ =}\sqrt[3]{-8\text{ }}\text{ =-2} \end{gathered}\)There is no other negative number that can be inserted in the Domain to yield a positive value in the Range.
Unlike, the quadratic radical function. For example:
\(\begin{gathered} f(x)\text{ =}\sqrt{x} \\ f(25)\text{ =+5 or -5} \\ (-5)^2=25and(5)^2=25 \end{gathered}\)Lin read 44 pages in 132 minutes. Diego read 35 pages in 140 minutes. Who is reading at a faster rate, Lin or Diego? Show and Explain your reasoning.
Answer:
Diego
Step-by-step explanation:
divide 132 minutes by 44 pages and you get 3 pages per minute, then divide 140 minutes by 35 pages and you will get 4 pages per minute. so Diego reads 1 more page a minute than lin. hope i helped you :)
The two dot plots show the number of guests per night.
The data for each is taken from a random sample within a 10
10
-week period.
Complete the statements below.
A dot plot or for chart is a statistical plot consisting of data points that are plotted on a scale using dots.
What is a dot plot?Your information is incomplete. Therefore, an overview of a dot plot will be given. A dot plot is a data visualization where the day points are plotted as dots on the graph.
Dot plots are used for relatively small data sets. It uses the dots to show where the data values in the distribution are.
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Please solve this, 50 points and BRAINLIEST
-4•6/7•-5/3
Answer:
5 5/7
Step-by-step explanation:
-4•6/7•-5/3
Put the numbers as fractions
-4/1•6/7•-5/3
Rewriting
-4/1 * 6/3 * -5/7
Simplifying the middle fraction
-4/1 * 2/1 * -5/7
Multiply the first two terms
-8/1 * -5/7
Multiplying
40/7
Changing from an improper fraction to a mixed number
7 goes into 40 5 times with 5 left over
5 5/7
Answer:
40/7
Step-by-step explanation:
Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at a constant speed. Did they run at the same speed?
Answer:
speed of Jada = 6km per hour which is not equal to
speed of Andre = 8km per hour
They did not run at same speed
Step-by-step explanation:
formula of speed = distance covered/ time taken
For Andre
Distance = 2 KM
time = 15 mins
60 mins = 1 hour
15 mins = 1/60 * 15 hour = 0.25 hours
thus,
speed = 2km/0.25 hour = 8 km per hour
Similarly for Jada
Distance = 3 KM
time = 20 mins
60 mins = 1 hour
20 mins = 1/60 * 20 hour = 1/3 hours
thus,
speed = 2km/(1/3)hour = 6 km per hour
Now we have
speed of Jada = 6km per hour which is not equal to
speed of Andre = 8km per hour
Find the monthly payment on a VCR with an installment price of \( \$ 937.03,12 \) monthly payments, and a down payment of \( \$ 50 \). The monthly payment is \( \$ \) (Round to the nearest cent as nee
After performing the calculation, we find that the monthly payment on the VCR is approximately $73.92.
To find the monthly payment, we can use the formula for installment payments:
Monthly Payment = (Total Price - Down Payment) / Number of Payments
Given:
Total Price = $937.03
Number of Payments = 12
Down Payment = $50
Substituting the given values into the formula, we have:
Monthly Payment = (937.03 - 50) / 12
Monthly Payment = 887.03 / 12
Monthly Payment ≈ $73.92
After performing the calculation, we find that the monthly payment on the VCR is approximately $73.92. This means that if you purchase the VCR with an installment price of $937.03, make a down payment of $50, and choose to pay in 12 monthly installments, each payment would amount to around $73.92.
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On November 1st, 2022, Lovers' Lanes Bowling Alley took out a $500,000 mortgage with an interest rate of 12% per year to purchase a new building. The required monthly payments are $5,500.
We need to determine the interest expense that Lovers' Lanes will record for 2022, specifically for the two months of November and December.
To calculate the interest expense, we need to first determine the monthly interest rate. We can do this by dividing the annual interest rate by 12. In this case, the monthly interest rate would be 12% divided by 12, which equals 1% or 0.01 as a decimal.
Next, we need to calculate the interest expense for each month. For November, the interest expense would be the outstanding balance of the mortgage multiplied by the monthly interest rate. In this case, the outstanding balance is $500,000. So, the interest expense for November would be $500,000 multiplied by 0.01, which equals $5,000.
For December, we need to adjust the outstanding balance based on the previous month's payment. Since the monthly payment is $5,500, we subtract this amount from the outstanding balance. So, the adjusted outstanding balance for December would be $500,000 minus $5,500, which equals $494,500.
Using the adjusted outstanding balance, we can calculate the interest expense for December by multiplying it by the monthly interest rate of 0.01. The interest expense for December would be $494,500 multiplied by 0.01, which equals $4,945.
Therefore, the interest expense that Lovers' Lanes will record for 2022, specifically for the two months of November and December, is $5,000 + $4,945, which equals $9,945.
In summary, Lovers' Lanes will record an interest expense of $5,000 for November and $4,945 for December, resulting in a total interest expense of $9,945 for 2022.
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a ___ equation is an equation that contains a variable within a radical expression.
A radical equation is an equation that contains a variable within a radical expression.
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Alizeh invests $9,000 in an actively managed mutual fund that has an annual expense ratio of 1.1%. The investment earns a 5% rate of return. How much does she pay in fees for her actively managed fund?
As per the given interest rates, she have to pay $103.95 in fees for her actively managed fund.
Interest:
Interest means the amount to be paid on the borrowed money or the amount received on the money lent.
Given,
Alizeh invests $9,000 in an actively managed mutual fund that has an annual expense ratio of 1.1%. The investment earns a 5% rate of return.
Here we need to find the fees for her actively managed fund.
First we have to change rate of return percent to decimal form,
That is,
5% = 0.05
Now, we have to multiply the amount and decimal to get Alizeh 's profit,
=> 9000 x 0.05
=> 450
Therefore, the fund's total after 1 year, including initial investment and profit is
=>9000 + 450
=> 9450.
Now, we have to change fee percent that is the expense ratio into decimal form,
=> 1.1% = 0.011
Therefore, the fees for her fund is,
=> 9450 x 0.011
=> 103.95
Therefore, she have to pay $103.95 for her managed fund.
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use the root test to determine whether the series convergent or divergent. [infinity] −8n n 1 3n n = 2
The limit is a positive finite number (i.e., not zero or infinity), the root test is inconclusive. Therefore, we cannot determine the convergence or divergence of the series using the root test alone.
To use the root test, we need to take the nth root of the absolute value of the nth term of the series. In this case, the nth term is (-8n)/(n^2 * 3^n).
Taking the nth root, we get:
[(|-8n|)/(n^2 * 3^n)]^(1/n)
= (8n)^(1/n) / (n^(2/n) * 3^(1/n))
As n approaches infinity, the denominator approaches 3^(0) = 1, so we are left with:
lim (n→∞) (8n)^(1/n)
Using the rule that the nth root of n approaches 1 as n approaches infinity, we can simplify further to:
lim (n→∞) 8^(1/n)
= 1
Since the limit of the nth root of the absolute value of the nth term is equal to 1, we cannot determine convergence or divergence using the root test.
We need to use another test, such as the ratio test or the comparison test.
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on a certain standardized test, the mean is 180 and the standard deviation is 35. which of the following is within 2 standard deviations of the mean?
Any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.
Within 2 standard deviations of the mean refers to the range that includes data points within two units of standard deviation from the mean. In this case, the mean is 180 and the standard deviation is 35.
To find the range within 2 standard deviations of the mean, we need to calculate the upper and lower bounds.
The upper bound can be found by adding 2 standard deviations (2 * 35 = 70) to the mean: 180 + 70 = 250.
The lower bound can be found by subtracting 2 standard deviations (2 * 35 = 70) from the mean: 180 - 70 = 110.
Therefore, any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.
It's important to note that this answer is specific to the given mean and standard deviation. If the mean and standard deviation were different, the range within 2 standard deviations would also be different.
Always calculate the upper and lower bounds based on the provided mean and standard deviation to determine the range within 2 standard deviations accurately.
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