Answer:
First we can look at the word itself. (parallel)ogram. this means that the lines of the shape is parallel. Parallel lines are lines that are next to each other and have the same angle. Squares, rectangles, rhombuses, and parallelograms. As you can see in the picture, there are two lines. These two lines have the same angle, and are therefore parallel.
What innovation was made possible in part because of the Carterfone decision in 1968? Select one a. COBOL b. radiospectrum allocation c. the public Internet d. SMS
The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C
The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.
This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.
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I subtract 3 from a certain number, multiply the result by 5 and then add 9 if the final result is 54. find the original number
\((x-3)\cdot 5+9=54\\5x-15=45\\5x=60\\x=12\)
let ⊂ , ⊂ be any two disjoint events such that: P() = 0.4, P( ∪ ) = 0.7. Find: ) P( c). ii) P( c ), iii)probability that exactly one of the events A,B occurs
The proababilities are: i) P(Aᶜ) = 0.6, ii) P(Bᶜ) = 0.4
iii) Probability that exactly one of the events A, B occurs = 0.7
Let A and B be any two disjoint events such that P(A) = 0.4 and P(A ∪ B) = 0.7. We need to find the following probabilities:
i) P(Aᶜ): This is the probability of the complement of event A, which represents the probability of not A occurring. Since A and B are disjoint, Aᶜ and B are mutually exclusive and their union covers the entire sample space.
Therefore, P(Aᶜ) = P(B) = 1 - P(A) = 1 - 0.4 = 0.6.
ii) P(Bᶜ): This is the probability of the complement of event B, which represents the probability of not B occurring. Since A and B are disjoint, Bᶜ and A are mutually exclusive and their union covers the entire sample space.
Therefore, P(Bᶜ) = P(A) = 0.4.
iii) Probability that exactly one of the events A, B occurs: This can be calculated by subtracting the probability of both events occurring (P(A ∩ B)) from the probability of their union (P(A ∪ B)).
Since A and B are disjoint, P(A ∩ B) = 0.
Therefore, the probability that exactly one of the events A, B occurs is P(A ∪ B) - P(A ∩ B) = P(A ∪ B) = 0.7.
To summarize:
i) P(Aᶜ) = 0.6
ii) P(Bᶜ) = 0.4
iii) Probability that exactly one of the events A, B occurs = 0.7
Note: The provided values of P(A), P(A ∪ B), and the disjoint nature of A and B are used to derive the above probabilities.
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T/F. Exception reports show a greater level of detail than is included in routine reports.
True. Exception reports show a greater level of detail than is included in routine reports.
Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.
This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.
This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.
It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.
For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.
The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.
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Formalize the following in terms of atomic propositions r, b, and w, first making clear how they correspond to the
English text. (a) Berries are ripe along the path, but rabbits have not been seen in the area.
(b) Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.
(c) If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.
(d) It is not safe to walk along the path, but rabbits have not been seen in the area and the berries along the path are ripe.
e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to
pave been seen in the area.
Walking is not safe on the path whenever rabbits have been seen in the area and berries are ripe along the path.
Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.
Given information and corresponding atomic propositions:
We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:
r: Rabbits have been seen in the area.
b: Berries are ripe along the path.
w: Walking on the path is safe.
Now, let us formalize each of the given statements in terms of these atomic propositions:
a) Berries are ripe along the path, but rabbits have not been seen in the area.
b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.
c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.
d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.
e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.
Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.
The formalizations in terms of atomic propositions are:
a) b ∧ ¬r.b) ¬r ∧ w ∧
b.c) (b → w) ∧ (¬r → w).
d) ¬w ∧ ¬r ∧
b.e) (¬r ∧ ¬b) → w.b ∧
Berries are ripe along the path, but rabbits have not been seen in the area.
This is formalized by using the ∧(logical and) operator.
(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.
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A bag contains 9 marbles: 2 are green, 3 are red, and 4 are blue. Raina chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles she chooses are red? Write your answel as a fraction in simplest form.
=========================================================
Explanation:
There are 3 red out of 9 total
The probability of picking red at random is 3/9 = 1/3
If the first marble is not put back, then the chances of picking red again are now 2/8 = 1/4
Notice how I subtracted 1 from the numerator and denominator of 3/9 to get to 2/8. This is because the red count and the total count both go down by 1 each.
Now multiply the fractions mentioned:
(3/9)*(2/8) = (1/3)*(1/4) = (1*1)/(3*4) = 1/12
If you did this trial 12 times, then you should expect to get two reds about once. That's one way to interpret the probability of 1/12.
Side note: 1/12 = 0.0833 = 8.33% approximately
Testing more properties of the Cobb-Douglas utility function Check if the Cobb-Douglas utility function u(x
1
,x
2
)=x
i
α
x
2
β
, where α,β>0, satisfies the following properties: (a) local nonsatiation, (b) decreasing marginal utility for both goods 1 and 2, (c) quasi-concavity, and (d) homotheticity.
The Cobb-Douglas utility function satisfies the properties of local non-satiation, decreasing marginal utility for both goods, quasi-concavity, and homotheticity.
The Cobb-Douglas utility function u(x1, x2) = xi^(α) * x2^(β), where α and β are both greater than zero, satisfies the following properties:
(a) Local non-satiation:
This property states that at each point of the consumption set, there is always another bundle that is arbitrarily close and strictly preferred. Thus, the function has local non-satiation.
(b) Decreasing marginal utility for both goods 1 and 2: The marginal utility of a good measures the utility obtained by consuming one more unit of it. The marginal utility of x1 can be obtained as:
MU1 = α * xi^(α−1) * x2^(β)
The marginal utility of x2 can be obtained as:
MU2 = β * xi^(α) * x2^(β−1)
Therefore, both marginal utilities are decreasing in x1 and x2, satisfying this property.
(c) Quasi-concavity:
The Cobb-Douglas function is quasi-concave. This means that the upper contour set of any level set of the function is convex. This can be proved by taking the second partial derivative of the function and checking whether it is negative or not.
(d) Homotheticity:
The Cobb-Douglas function is homothetic. This means that its shape is independent of the total level of utility. The proof can be achieved by checking whether the function is homogeneous of degree one or not. This is true, since multiplying the inputs by any positive scalar λ leads to a proportional increase in the output.
In conclusion, the Cobb-Douglas utility function satisfies all four properties - local non-satiation, decreasing marginal utility for both goods 1 and 2, quasi-concavity, and homotheticity.
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Help please help please
Answer:
57
Step-by-step explanation:
due to the 2 parallel lines , we have the sum of them = 180
so we can solve the equation and get x.
(180 - 14 +5 )/ 3 = 57
Here is the question
Answer:
A im pretty sure
Step-by-step explanation:
mark me brainliest please lol
Help with my math hw !!
Answer:
25 visits (there are 5 visits per every 20$ spent)
Step-by-step explanation:
Hope I helped you, have a great day :)
18,8. Assuming the tree shown below is perpendicular to the base distance, use trigonometry
to calculate its height to 1 decimal place. Dimensions are in feet.
I
32°
150
Answer:
x = 93.7ft or x = 94ft
Step-by-step explanation:
Hope that helps :)
I need this down thanks
Answer:
c
a
Step-by-step explanation:
Answer:
5. is C which is 9.
6. is B which is 37.
Step-by-step explanation:
The first on is C. 9 because to find the interquartile range you need to subtract the upper quartile range by the lower quartile range. The upper is 16 and the lower is 7 so you do 16-7 which is 9.
The last question is B. 37 because the lower quartile range is first line in the box plot which is 37.
does a parallelogram have 2 pairs of parallel sides
Answer:
A parallelogram is a quadrilateral with 2 pairs of parallel sides
Carlos started a business with 8 customers. Each month, his business increased by 4 customers. He would like 52 customers a month. How many months will I take him to reach his goal?
Answer: 11 months
Step-by-step explanation:
Let the number of months that it will take him to reach his goal be represented by x.
Based on the information given in the question, this can be formed into an equation as:
8 + 4x = 52
4x = 52 - 8
4x = 44
x = 44/4
x = 11
It will take 11 months to reach the goal
an algorithm is a calculation that determines how long it will take to solve a problem.True/False
False, An algorithm is a step-by-step procedure or set of instructions for solving a problem or performing a specific task.
It is not limited to calculating the time it takes to solve a problem, but rather it provides a systematic approach to reach the desired solution. Algorithms can be designed to solve a wide range of problems, from simple mathematical calculations to complex computer programming tasks.
Their efficiency can be measured in terms of time and space complexity, which helps in determining the performance of the algorithm. However, the primary purpose of an logarithmic is to provide a clear and effective method for solving problems, not merely calculating the time it takes to solve them.
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What sum of money should Jeff invest on January 21, 2020, to
amount to $80000 on August 8, 2020, at 5% p.a.
To determine the sum of money Jeff should invest on January 21, 2020, in order to reach $80000 on August 8, 2020, at an annual interest rate of 5%, we need to calculate the present value of the future amount using the time value of money concepts.
We can use the formula for the present value of a future amount to calculate the initial investment required. The formula is:
Present Value = Future Value / (1 + interest rate)^time
In this case, the future value is $80000, the interest rate is 5% per year, and the time period is from January 21, 2020, to August 8, 2020. The time period is approximately 6.5 months or 0.542 years.
Plugging these values into the formula, we have:
Present Value = $80000 / (1 + 0.05)^0.542
Evaluating the expression, we find that the present value is approximately $75609. Therefore, Jeff should invest approximately $75609 on January 21, 2020, to amount to $80000 on August 8, 2020, at a 5% annual interest rate.
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EEEEEEEEEEEEE help pls and ty :')
Answer:
117
Step-by-step explanation:
Answer + method / explanation please
The expressions for the lengths of the segments obtained using vectors notation are;
a. i. \(\overrightarrow{LA}\) = q - (1/2)·p ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)
b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;
\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)
What are vectors?A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)
a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) = \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)
\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p
\(\overrightarrow{LA}\) = q - (1/2)·p
ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)
\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)
\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)
\(\overrightarrow{AN}\) = (2/7) × (p - q)
b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)
\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)
\(\overrightarrow{LA}\) = q - (1/2)·p
\(\overrightarrow{AN}\) = (2/7) × (p - q)
Therefore;
\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)
\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)
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An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly cost for x movie rentals? 2.95 x + 39.95 39.95 x + 2.95 2.95 x minus 39.95 (12) 2.95 x + 39.95 (12)
Answer:
\(2.95 x + 39.95 (12)\)
Step-by-step explanation:
Given data
Charge per movie= $2.95
monthly fee= $39.95
let the number of movies be x
Hence the expression for the total is given as
\(Total= 2.95(x)+39.95(12)\)
Answer:
Step-by-step explanation:
Given data
Charge per movie= $2.95
monthly fee= $39.95
let the number of movies be x
Hence the expression for the total is given as
Step-by-step explanation:
geometric? what does it mean and plz give a example
Answer:
of, relating to, or according to the methods or principles of geometry
increasing in a geometric progression.
the study of properties of given elements that remain invariant under specified transformations
explanation:
Hope this helps?
Please mark me as brainliest answerer?
I need it.
Show the work! Ill mark Brainliest!
2x - 3y = 12
Answer:
here is explanation by graph
write an equation in slope intercept form with the given information. slope=-1; passes through the point (-4,10)
Answer:
y-10 = -1 * x+ (-4)
Step-by-step explanation:
in a certain company 120 of the employees are men. what is the total number of employees if 5 out of every 8 employees are men?
Answer:
There are 192 employees in the company.
Step-by-step explanation:
Let x be the total number of employees
Use ratio and proportion
\(\frac{120}{x} =\frac{5}{8} \\5x = 120(8)\\5x = 960\\\frac{5x}{5} = \frac{960}{5} \\x = 192\)
x = 192
What is the balance after 5 years in a savings account that earns 6% interest compounded monthly when the initial deposit is $10000?
ASAP 20 POINTS 5. Tiana and Shana are training for a mile swim. Each time they tried to get better times. The first week the best time for each of them was 70 minutes. Then Tiana had a best time of 66 minutes the second week, 67 the third week, 63 the fourth week and 64 the fifth week. Shana had a best time of 69 minutes the second week, 67 the third week, 66 the fourth week, and 64 the fifth week. If they continued at this rate, who would have the best time after 12 weeks of training? What would that time be? Show all work.
Answer:
Step-by-step explanation:
Pattern for Tiana is: {-4} {+1}
If we continue this pattern, we can project her times for the next 7 weeks as follows:
Week 6: 64 - 4 = 60 minutes
Week 7: 60 + 1 = 61 minutes
Week 8: 61 - 4 = 57 minutes
Week 9: 57 + 1 = 58 minutes
Week 10: 58 - 4 = 54 minutes
Week 11: 54 + 1 = 55 minutes
Week 12: 55 - 4 = 51 minutes
Pattern for Shana is : {-1} {-2}
Week 6: 64 - 1 = 63 minutes
Week 7: 63 - 2 = 61 minutes
Week 8: 61 - 1 = 60 minutes
Week 9: 60 - 2 = 58 minutes
Week 10: 58 - 1 = 57 minutes
Week 11: 57 - 2 = 55 minutes
Week 12: 55 - 1 = 54 minutes
We see that Tiana has less time than Shana after 12 weeks.
In conclusion, Tiana will have the best time after 12 weeks of training, the time would be 51 minutes
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $4500 to rent trucks plus an additional fee of $100.25 for each ton of sugar. The second company charges $3443 to rent trucks plus an additional fee of $175.72 for each ton of sugar
Answer:
First we make an equation for each company
4500 + 100.25t
t is going to be tons
the second company
3443 + 175.72t
Step-by-step explanation:
Find the sum of the first 6 terms of the given sequence. The sequence is either arithmetic or geometric.
-1, 7, -49, ...
The Sum of the first six terms of the progression is 14706
What is Geometric Progression?
A geometric progression, also known as a geometric sequence, is a non-zero numerical series in which each term after the first is determined by multiplying the preceding one by a fixed, non-zero value known as the common ratio.
Solution:
On carefully observing
We can state that, the Common Ratio is -7
Sum(n) = a(\(r^{n}\) - 1) / r - 1
Sum(6) = -1 (-7^6 - 1) / -7-1
Sum(6) = -1(117648)/-8
Sum(6) = 14706
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The Safari Restaurant is giving away gift bags. They have 24 magnets and 36 pencils. They want all the bags to be the same so that each bag has the same number of magnets and the same number of pencils. What is the greatest number of gift bags that the restaurant can make using all of the supplies?
Answer: 18
Step-by-step explanation:
Remove 2 from 36 and remove 1 from 24 until you get to 0.
Determine the geometric mean of 45 and 15
The solution is, The geometric mean of 45 and 15 is 25.98.
What is geometric mean?The Geometric Mean (GM) in mathematics is the average value or mean that, by calculating the product of the values of the set of numbers, denotes the central tendency of the numbers. In essence, we multiply the numbers together and calculate their nth root, where n is the total number of data values.
here, we have,
We are given two numbers as 45 and 15.
Formula for geometric mean is
G.M = √x₁ × ... × xₐ
So, using this we get
⇒G.M = √45 × 15
⇒G.M = √675
⇒G.M = 25.98
Hence, the geometric mean of 45 and 15 is 25.98.
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Adam plans to choose a video game from a section of the store where everything is 75% off. He writes the expression d−0.75d to find the sale price of the game if the original price is d dollars. Rena correctly writes another expression, 0.25d , that will also find the sale price of the game if the original price is d dollars. Drag each description to explain each part of both expressions.
In 1st part expression there is a subtraction of 75% of 0.75d from orignal price and in 2nd expression the discount of 75% of the orignal price.
What do you mean by an expression?In mathematics, an expression is a combination of symbols, numbers, and operators (such as +, −, ×, ÷, etc.) that represent a quantity or a mathematical operation.
Expressions can be simple or complex, and they can involve variables, constants, and functions. Expressions can be evaluated or simplified to obtain a numerical or symbolic result.
d: This represents the original price of the video game in dollars.
0.75d: This represents the price of the video game after the 75% discount has been applied. It is equivalent to subtracting 75% of the original price (0.75 times d) from the original price (d).
0.25d: This represents the amount of the original price that is discounted by 75%. It is equivalent to subtracting the sale price (d - 0.75d) from the original price (d), since the discount is 75% or 0.75 of the original price (d).
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