The product of (px + qy)(ax − by) is
Answer:
The product of (px + qy)(ax − by) is pax^2 + qaxby - pbx^2 - qby^2.
Step-by-step explanation:
Answer: apx^2-bpxy+aqxy-bqy^2
Step-by-step explanation: (px+qy)x(ax-by) Multiply each term in the first parenthesis by each term in the second parenthesis (FOIL). That would give you pxax-bpxy+aqxy-qyby. Then calculate the product pxax which would give you apx^2-bpxy+aqxy-qyby. Calculate the other product qyby which would give you apx^2-bpxy+aqxy-bqy^2.
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A family just removed a big tree from their backyard. The diameter of the circular hole left behind is 7 feet across. Approximately how many square feet of grass will the family need if they want to cover the area where the tree once was?
A
22 ft²
B
39 ft²
C
44 ft²
D
154 ft²
The family needs to cover 39ft² area of grass.
What is Area of Circle?The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle.
Here, Diameter = 7 ft.
Radius = 7/2 ft. = 3.5 ft.
The Area of Circle = πr²
A = 3.14 X (3.5)²
A = 3.14 X 3.5 X 3.5
A = 38.465 ft² ≈ 39 ft²
Thus, the family needs to cover 39ft² area of grass.
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Is -10/3 greater or less that the square root of -9
Step-by-step explanation:
The square root of -9 is greater than that
A. p(x) = (2x - 1)^3(x - 2)^2
B. p(x) = (2x - 1)^2(x - 2)^2
C. p(x) = (2x - 1)^3(x - 2)^3
D. p(x) = (2x - 1)^2(x - 2)^3
Answer:
THE ANSWER IS
C. p(x) = (2x - 1)^3(x - 2)^3
Step-by-step explanation:
PLEASE FOLLOW
AND MAKE IT BRAINLIEST...
A cable provider wants to contact customers in a particular telephone exchange to see how satisfied they are with the new digital TV service the company has provided. All numbers are in the 452 exchange, so there are 10 000 possible numbers from 452-0000 to 452-9999. Assume they select the numbers with equal probability.
) What distribution would they use to model the selection.
b) The new business "incubator" was assigned the
500
numbers between 452-2000 and
452 dash 2499
,
but these new businesses don't subscribe to digital TV. What is the probability that the randomly selected
a) The cable provider would use a discrete uniform distribution to model the selection of customers in the telephone exchange b) The probability that a randomly selected number from the 452 exchange belongs to a new business that does not subscribe to digital TV is 1
To model the selection of customers in a particular telephone exchange, the cable provider would use a uniform distribution. This is because they are selecting numbers with equal probability from a set of 10,000 possible numbers. In a uniform distribution, each value has an equal chance of being selected, making it suitable for this scenario
Second, we are given that the new business incubator was assigned the 500 numbers between 452-2000 and 452-2499, and these businesses don't subscribe to digital TV. To find the probability of randomly selecting a number from this range that doesn't subscribe to digital TV, we need to determine the proportion of numbers in that range that meet the condition.
In this case, there are 500 numbers in the range 452-2000 to 452-2499, and all of them don't subscribe to digital TV. Since we are selecting from a specific range, the probability of selecting a number that doesn't subscribe to digital TV is 100% or 1.
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Please help me I really really need help
Answer:
\(B) \sqrt{2}\) ÷ \(2\sqrt{5}\)
Step-by-step explanation:
\(A\)→ \(2\sqrt{5}\) ÷ \(\sqrt{5}\)
\(= \frac{2\sqrt{5} }{\sqrt{5} }\)
→ 2 is a rational number
\(B)\) → \(\sqrt{2}\) ÷ \(2\sqrt{5}\)
\(=\frac{\sqrt{2} }{2\sqrt{5} }\)
\(=\frac{\sqrt{2} }{\sqrt{2}*\sqrt{2}*\sqrt{5} }\)
\(= \frac{1}{\sqrt{10} }\)
↑ is irrational number
\(C)\) \(\frac{\pi }{2}\)÷ \(\pi\)
\(= \frac{\pi }{2} *\frac{1}{\pi }\)
\(=\frac{1}{2}\)
↑ is a rational number
\(D)\)\(5\pi\) ÷ \(\pi\)
\(= 5\)
↑ is a rational number
So, Option B is your answer
\(-----------------\)
hope it helps..
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Rob owns 3/5 of the stock in a local bread company. His sister Tailia owns half as much stock as Rob. What part of the stock is owned by neither Rob or Tailia?
Let 'x' and 'y' denote the part of stock owned by Rob and Tailia, respectively.
Give that Rob owns 3/5 of the stock,
\(x=\frac{3}{5}\)Also it is given that Tailia owns half as much stock as Rob,
\(\begin{gathered} y=\frac{x}{2} \\ y=\frac{3}{2\times5} \\ y=\frac{3}{10} \end{gathered}\)So, Tailia owns 3/10 of the stock.
Now, it is known that the total stock must be unity,
\(\text{Total Stock}=1\)Total stock must be the sum of stock holdings of Rob, Tailia, and other.
Then, the remaining part of stock which is neither owned by Rob, nor by Tailia, is calculated as,
\(\begin{gathered} =\text{Total}-(x+y) \\ =1-(\frac{3}{5}+\frac{3}{10}) \\ =1-\frac{9}{10} \\ =\frac{1}{10} \end{gathered}\)Thus, 1/10 of the stock is neither
canadian radio stations are required to have at least 35% of their content be canadian in origin. a listener sampled his favorite station's content to test whether it is falling short of the quota. in his sample of 100 time intervals, canadian content was playing for 33 of them. what is the test statistic for this test?
The test statistic for this hypothesis test is -0.3886.
In statistical hypothesis testing, a test statistic is a numerical value that is calculated from a sample of data and used to determine whether to accept or reject the null hypothesis.
To calculate the test statistic for this hypothesis test, we need to use the formula for the proportion test
z = (p - P) / sqrt(P(1-P) / n)
Where
p is the proportion of Canadian content in the sample (33/100 = 0.33)
P is the hypothesized proportion (35% = 0.35)
n is the sample size (100)
Substituting the values, we get
z = (0.33 - 0.35) / sqrt(0.35(1-0.35) / 100)
z = -0.02 / 0.0516
z = -0.3886
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Given the following Venn diagram, which regions make up ( Ac ∩ Bc ) ?
U
A
IV
II
III
I
a) II only.
b) I, II and IV only.
c) I only.
d) ∅
e) III and IV only.
f) None of the above.
In the given Venn diagram, we have sets A and B, as well as the universal set U. The regions in the diagram represent different combinations of elements belonging to A, B, and their complements (Ac and Bc).
The intersection (Ac ∩ Bc) represents the elements that are both in the complement of A and the complement of B. In other words, it includes the elements that do not belong to A and also do not belong to B.
Region I: This region is part of the complement of A and also part of the complement of B. Therefore, it belongs to (Ac ∩ Bc).Region II: Similarly, this region is part of the complement of A and part of the complement of B. It also belongs to (Ac ∩ Bc).Region III: This region is part of set A, but it is not part of the complement of B. Hence, it does not belong to (Ac ∩ Bc).Region IV: This region is part of set B, but it is not part of the complement of A. Therefore, it does not belong to (Ac ∩ Bc).Region U: This region represents the universal set and is not part of any intersection. It includes elements that belong to A, B, and their complements.From the analysis, we can conclude that regions I and II are the ones that make up (Ac ∩ Bc). Therefore, the correct answer is e) III and IV only.Learn more about Venn diagram here : brainly.com/question/17041038
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one way to display formulas is by pressing this key combination. [CTRL][ ]
To display formulas, one way is to press the key combination [Ctrl]+[] (grave accent).
What key combination can be used to display formulas?The key combination [Ctrl]+[] is used to display formulas.
This is a useful feature for checking and editing formulas without altering the calculated values.
By pressing [Ctrl]+[], users can easily view the underlying formulas and ensure their accuracy.
This key combination provides a convenient way to switch between the formula view and the results view, enabling efficient editing and troubleshooting of complex calculations.
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What are the two lines of reflections that map captial H onto itself?
Answer:
The H has two lines of reflection - the vertical line through its center and the horizontal line through its center are both lines of reflection, so H has both a horizontal and a vertical line of symmetry.
Step-by-step explanation:
Answer all sub-questions:
a) Compare and contrast the "Monte Carlo" and "Historical" simulation as tools for measuring the risk. [11 grades]
b) Why in risk analysis the right choice of the probability distribution that describes the risk factor's values it is of paramount importance? Discuss [11 grades] [11 grades]
c) Describe how statistics are used in risk management.
Monte Carlo and Historical simulation are widely used tools for risk measurement, generating random inputs based on probability distribution functions. Proper probability distributions are crucial for risk analysis, while statistics aids in risk management by obtaining probabilities and assessing results.
a) Monte Carlo and Historical simulation are the most extensively used tools for measuring risk. The significant difference between these two tools lies in their inputs. Monte Carlo simulation is based on generating random inputs based on a set of probability distribution functions. While Historical simulation, on the other hand, simulates based on the prior actual data inputs.\
b) In risk analysis, the right choice of probability distribution that explains the risk factor's values is of paramount importance as it can give rise to critical decision making and management of financial risks. Probability distributions such as the Normal distribution are used when modeling the return of an asset, or its log-returns. Normal distribution in financial modeling is essential because it best describes the distribution of price movements of liquid and high-frequency assets. Nonetheless, selecting the wrong distribution can lead to wrong decisions, which can be quite catastrophic for the organization.
c) Statistics are used in Risk Management to assist in decision-making by helping to obtain the probabilities of potential risks and assessing the results. Statistics can provide valuable insights and an objective evaluation of risks and help us quantify risks by considering the variability and uncertainty in all situations. With statistics, risks can be easily identified and properly evaluated, and it assists in making better decisions.
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find the least common multiple of 7 and 9
Answer:
63
Step-by-step explanation:
Answer:
63
Step-by-step explanation:
the hawaii visitors bureau collects data on visitors to hawaii. the following questions were among 16 asked in a questionnaire handed out to passengers during incoming airline flights.
Using sampling concepts, the population being studied is all visitors that are flying to the state of Hawaii.
What is the missing information?The problem is incomplete, but researching it on a search engine, it asks for us to identify who is the population of this study.
What is population and sample?Population: Collection or set of individuals or objects or events whose properties will be studied.Sample: The sample is a subset of the population, and a well chosen sample, that is, a representative sample will contain most of the information about the population parameter. A representative sample means that all groups of the population are inserted into the sample.In this problem, a set of visitors traveling to Hawaii were sampled, hence the population being studied is all visitors that are flying to the state of Hawaii.
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Let u = (-1,3), v=(2,4) , and w= ( 2,-5) . Find the component forms of the following vectors. 2u
Given u = (-1,3), v=(2,4) , and w= ( 2,-5), then, by applying scalar multiplication on vector, 2u = (–2, 6)
In the two-dimensional coordinate system, vectors can be split into x-component and y-component.
We can write, for example, a vector q = (1,–5), which means:
x-component = 1
y-component = –5
Operations on vectors:
Addition / subtraction of vectors: Just add or subtract the corresponding components.In the given problem:
u = (-1,3), v = ( 2,4) , and w = (2,-5)
Then,
2u = 2 (-1,3)
= (2 . (-1), 2. 3) = (–2, 6)
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subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of .5 inches. 20% of sandwiches are less than inches. (the cumulative standardized normal distribution table indicates a z value of -.84 for 20%) 11.500 11.42 10.58 cannot be determined from the information given
using standard z value, 20% of sandwiches are less than 10.58 inches.
In the given question,
Subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of 0.5 inches.
20% of sandwiches are less than...............inches.
The cumulative standardized normal distribution table indicates a z value of -0.84 for 20%.
From the question we know that
Mean(μ) = 11 inches
Standard Deviation(σ) = 0.5 inches
We have to find less than of 20% of sandwiches for z value of -0.84
P(ƶ<z) = 20%
We can write it as
P(ƶ<-0.84) = 20/100
P(ƶ<-0.84) = 0.20
Since z = -0.84
X-μ/σ = -0.84
Now putting the value
X-11/0.5 = -0.84
Multiply by 0.5 on both side
X-11/0.5 *0.5= -0.84*0.5
X-11= -0.42
Add 11 on both side
X-11+11= -0.42+11
X = 10.58
Hence, 20% of sandwiches are less than 10.58 inches.
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Right question is here
Subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of 0.5 inches. 20% of sandwiches are less than ................. inches. (The cumulative standardized normal distribution table indicates a z value of -.84 for 20%)
(a) 11.500
(b) 11.42
(c) 10.58
(d) cannot be determined from the information given
the midpoint of \overline{\text{ab}} ab is m(0, -3)m(0,−3). if the coordinates of aa are (2, 1)(2,1), what are the coordinates of bb?
If the coordinates of the point a is (2,1) and midpoint is (0.-3), then the coordinates of b is (-2,-7).
Midpoint:
Midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.
The formula for midpoint is,
\((x_{m},y_{m})= (\frac{x_{1}+x_{2} }{2} ,\frac{y_{1}+y_{2} }{2} )\)
Where
(x₁,y₁) is the coordinates of the first point and
(x₂,y₂) is the coordinates of the second point
and
\((x_m,y_m)\) is the mid point of the first and second points.
Given,
Mid point = (0,-3)
Point a = (2,1)
Here we need to find the point b.
Let (x,y) be the point of b.
Now,
Apply the values on the formula,
Then we get,
\((0,-3)=(\frac{2+x}{2},\frac{1+y}{2})\)
Compare the values in order to solve it,
=> 0 = (2 +x)/ 2
=> 0 = 2 + x
=> x = -2
Similarly,
=> -3 = (1 + y)/2
=> -3 x 2 = 1 + y
=> -6 = 1 + y
=> y = -6 - 1
=> y = -7
Therefore, the coordinates of b is (-2,-7).
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12x-7<8+9x for x
please help
Answer:
X < 5
Step-by-step explanation:
12x - 7 < 8 + 9x
3x - 7 < 8
3x < 15
x < 5
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Which expression would you use to solve this problem? Four less than the quotient of 16 and 2. *
4 - 16 ÷ 2
16 ÷ 2 - 4
4 - 16 x 2
16 x 2 - 4
Manuel the trainer has two solo workout plans that he offers his clients: plan a and plan b. each client does either one or the other (not both). on monday there were 3 clients who did plan a and 8 who did plan b. manuel trained his monday clients for a total of 7 hours and his tuesday clients for a total of 6 hours. how long does each workout plans last?
Plan a lasts 1/5 of an hour (or 12 minutes) and plan b lasts 29/5 hours (or 5 hours and 48 minutes).
Let's denote the length of plan a by 'a' and the length of plan b by 'b' (measured in hours).
From the problem, we know that:
- On Monday, 3 clients did plan a and 8 clients did plan b. Therefore, the total time spent on plan a on Monday was 3a and the total time spent on plan b on Monday was 8b.
- On Tuesday, we don't know how many clients did each plan, but we do know that the total time spent on both plans was 6 hours.
Putting these together, we can create a system of two equations:
3a + 8b = 7 (total time spent on Monday)
a + b = 6 (total time spent on Tuesday)
We can solve this system by using substitution. Rearranging the second equation, we get:
b = 6 - a
Substituting this expression for b into the first equation, we get:
3a + 8(6 - a) = 7
Simplifying and solving for a, we get: a = 1/5
Substituting this value back into the expression for b, we get:
b = 6 - a = 29/5
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Explain why three angle measures do not determine a unique triangle. How many triangles are determined by three angles measures?
You can either form no triangles or an endless number of triangles when you are given three angles.
For Example -
How many distinct triangles can you construct using angles of 30, 60, and 90 degrees?
Use a protractor to create one of the angles needed to form a triangle. You can adjust the side lengths to your desired length. Make another angle at the end of one of the sides, then link the sides together. You've constructed a triangle.
You should note that you chose the side lengths. This implies that you might choose differently. This allowed you to create an infinite number of distinct triangles using the same angles.
Hence, we can form infinite number of triangles when only the measurements of three angles is given
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Statistically meaningful results that make it possible for researchers to feel confident that they have confirmed their hypotheses is known as a
Statistically meaningful results that make it possible for researchers to feel confident that they have confirmed their hypotheses is known as a statistically significant outcome.
statistically meaningful results that make it possible for researchers to feel confident that they have confirmed their hypotheses is known as statistical significance.
This means that the results are unlikely to be explained solely by chance or random factors. The p value, or probability value, tells you the statistical significance of a finding.
In most studies, a p value of 0.05 or less is considered statistically significant, but this threshold can also be set higher or lower depending on the context.
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Someone please tell me the answers to this please I beg you
Consider a population of wildflowers in which the frequency of the red allele cr is p = 0.7.
The wildflowers in this population, the white allele is present in about 30% of the individuals, while the red allele is present in about 70% of the individuals.
The frequency of the white allele (CW) in the population can be determined by subtracting the frequency of the red allele (CR) from 1, since the frequencies of all alleles in a population must add up to 1.
So, the frequency of the white allele (CW) can be calculated as follows:
CW = 1 - CR
Given that the frequency of the red allele (CR) is p = 0.7, we can substitute this value into the equation:
CW = 1 - 0.7
= 0.3
Therefore, the frequency of the white allele (CW) in this population is 0.3.
In genetic terms, alleles are alternative forms of a gene, and the frequencies of different alleles within a population can be used to study genetic variations. In this case, we are considering a population of wildflowers and examining the frequencies of the red allele (CR) and white allele (CW).
The total frequency of alleles in a population is always 1 since each individual carries two alleles (one from each parent). Therefore, the frequency of the white allele can be obtained by subtracting the frequency of the red allele (0.7 or 70%) from 1. This is because the sum of the frequencies of all alleles must equal 1.
By performing the calculation, we find that the frequency of the white allele in this population is 0.3 or 30%.
This means that among the wildflowers in this population, the white allele is present in about 30% of the individuals, while the red allele is present in about 70% of the individuals.
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Complete Question
Consider a population of wildflowers in which the frequency of the red allele CR is p = 0.7.
What is the frequency of the white allele (CW ) in this population?
if the coefficient of determination is 0.94, what can we say about the relationship between two variables? multiple choice the direction of the relationship is negative. ninety-four percent of the total variation of the dependent variable is explained by the independent variable. the direction of the relationship is positive. the strength of the relationship is 0.94.
If the coefficient of determination is 0.94, we can say that ninety-four percent of the total variation of the dependent variable is explained by the independent variable. The correct answer is: ninety-four percent of the total variation of the dependent variable is explained by the independent variable.
This means that there is a strong positive relationship between the two variables. The coefficient of determination, represented as R², measures the proportion of the total variation in the dependent variable that is explained by the independent variable. In this case, an R² of 0.94 indicates that 94% of the total variation in the dependent variable can be explained by the independent variable. The coefficient of determination does not provide information about the direction or strength of the relationship. The correct answer therefore is ninety-four percent of the total variation of the dependent variable is explained by the independent variable.
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Can you help me with this question pls
Answer:
1/5^12
Step-by-step explanation:
Need help please will give you 5 stars and good rating
Answer:
two complex solutions
Step-by-step explanation:
2x^2 + 4x+4
Factor out 2
2( x^2+2x+2)
Using the discriminant on the inner term
b^2 -4ac where a=1 b=2 c=2
2^2 -4 (1) (2)
4 - 8
-4
Since the discriminant is negative, we will have 2 complex solutions
Answer:
2 complex solutions
Step-by-step explanation:
Given the standard form quadratic ...
ax^2 +bx +c
The expression b^2-4ac is called the "discriminant." Its value can be used to predict the type of solutions. Here, we have ...
a=2, b=4, c=4
so the discriminant is ...
d = b^2 -4ac = 4^2 -4(2)(4) = -16
Because the discriminant is negative, we can predict there are 2 complex solutions.
__
The graph has no x-intercepts, confirming there are 2 complex solutions.
The weights of 11 1111 different babies are recorded on the line plot below. Each weight was rounded to the nearest 1 8 8 1 start fraction, 1, divided by, 8, end fraction pound. 6 6 6 4 8 6 8 4 7 7 7 4 8 7 8 4 8 8 8 4 8 8 8 4 9 9 9 4 8 9 8 4 10 10 A line plot labeled 6 to 10 with tick marks every one-eighth unit. Above the tick mark at six and six-eighths is one dot. Above the tick mark at seven and one-eighth is a column of three dots. Above the tick mark at seven and two-eighths is a column of two dots. Above the tick mark at eight and three-eighths there is a column of three dots. Above the tick mark at eight and four-eighths there is one dot. Above the tick mark at nine and two-eighths is one dot. What is the difference, in weight, between the two heaviest babies? pounds pounds start text, space, p, o, u, n, d, s, end text
Answer:
6/8
Step-by-step explanation:
Answer: The answer is 6/8 ☻
Step-by-step explanation: I took the quiz and got it corrected. ヾ(^▽^*)))
Find the size of unknown angle.
soln,
2x+3x+x=180[Being angle on a line]
or,6x=180
or,x=180/6
or,x=30
Please give me brainliest answer
Urgent, pls help me!!!
Answer:
Radius: 2
Center: (-3, 1)