Answer:
0 or 6
Step-by-step explanation:
2aa = 12a
2a² = 12a
Subtract 12a from both sides.
2a² - 12a = 0
Factor left side of equation.
2a(a - 6)=0
Set factors equal to 0.
2a = 0
a =
a - 6 = 0
a = 6
2. If Q(-5, 1) is the midpoint of PR and R is located
at (-2.-4), what are the coordinates of P?
\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P(\stackrel{x_1}{x}~,~\stackrel{y_1}{y})\qquad R(\stackrel{x_2}{-2}~,~\stackrel{y_2}{-4}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -2 +x}{2}~~~ ,~~~ \cfrac{ -4 +y}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE Q} }{(-5~~,~~1)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ -2 +x }{2}=-5\implies -2+x=-10\implies \boxed{x=-8} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ -4 +y }{2}=1\implies -4+y=2\implies \boxed{y=6}\)
Answer:
The answer is (-8,6)
Find the measure of the angle indicated in bold.
7)
17x + 11
18x + 4
A) 104°
C) 120°
B) 110°
D) 130°
Answer:
Im assuming you solve 17x plus 11 then add 18x +4.
Step-by-step explanation:
3х + 3 =12
solving multi step
Step-by-step explanation:
3x+3=12
3x=12-3
3x=9
3÷3=1
9÷3=3
x=3.
Answer:
Step-by-step explanation:
Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms. (2 points)log2 (x^9 y^5/8)
We have the following:
as a sum
\(\log _2\frac{x^9y^5}{8}=\log _2x^9+\log _2y^5-\log _28=9\log _2x^{}+5\log _2y^{}-\log _28\)The answer is the option b
Phân tích đa thức thành nhân tử
10xy^2-5by^2+2ax^2-abx
Step-by-step explanation:
10xy^2-5by^2+2ax^2-abx =
5y²(2x -b) + ax(2x -b) =
(5y²+ax) (2x-b)
Answer:
10xy^2
Step-by-step explanation:
10xy ^ 2-5by ^ 2 + 2ax ^ 2-abx
(10xy^2-5by^2)+(2ax^2-abx)
=5y² (2x -b) + ax (2x -b)
=( 5 y ² + ax ()2 x--b
Which of the following are characteristics of a normal distribution?
Select all that apply.
A. Symmetric
B. Unimodal
C. Bimodal
D. Bell-Shaped
E. Mean and Median are equal
F. The Peak is on the left
G. 64% of the data falls within 1 standard deviation of the mean
Answer:
The mean, median and mode are exactly the same.
Step-by-step explanation:
I ( g o o g l e d ) ur answer and gave u it
The characteristics of a normal distribution are Symmetric, Unimodal, Bell-Shaped, Mean and Median are equal.
A. Symmetric: True. A normal distribution is symmetric, meaning the left and right halves of the distribution are mirror images of each other.
B. Unimodal: True. A normal distribution is unimodal, meaning it has a single peak.
C. Bimodal: False. A normal distribution is not bimodal; it has only one mode (peak).
D. Bell-Shaped: True. A normal distribution is bell-shaped, meaning it forms a symmetric, bell-like curve.
E. Mean and Median are equal: True. In a normal distribution, the mean and median are equal, and they both coincide with the highest point of the curve.
F. The Peak is on the left: False. The peak of a normal distribution is at the center; it is not necessarily on the left.
G. 64% of the data falls within 1 standard deviation of the mean: False. In a normal distribution, approximately 68% of the data falls within 1 standard deviation of the mean, not 64%.
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Only need answer A answered please
HEY MATE HERE IS UR ANSWER
The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . ... A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.
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anyone elses gym teacher play its raining tacos like the whole gym class? lol just me?
The number 5/7 can be best described as a(n) _____.
mixed number
improper fraction
proper fraction
Answer:
proper fraction
Step-by-step explanation:
Nope just yours l.ma0.
What is the slope of line p
Think of 5 positive integers that have a
mode of 3, a median of 6, a mean of 6
and a range of 8.
Answer:
Mode of 3 median of 6, mean of 6, range of 8
Step-by-step explanation:
3, 3, 6, 7, 11
which expression is equivalent to 4√8/3√2
Answer:
8/3
Step-by-step explanation:
The square root of 8 can actually be written \(2\sqrt2\), so \(4\sqrt2 = 4 \cdot 2\sqrt2 = 8\sqrt2\)
Now, we are looking for \(\frac{8\sqrt2}{3\sqrt2}\). Both the square root of 2s cancel, so we are left with 8/3
In a typical month, the BBC Corporation receives 30 checks totaling $250,000. These are delayed five (5) days on average What is the average daily float? Assume 30 days per month. 0 $1,250,000 0 $1,500,000 O $41,667
The average daily float for the BBC Corporation, based on receiving 30 checks totaling $250,000 with an average delay of five days, is $41,667.
To calculate the average daily float, we need to determine the total amount of funds in transit and divide it by the average number of days the funds are delayed.
In this case, the BBC Corporation receives 30 checks totaling $250,000 in a typical month. The average delay for these checks is five days.
To calculate the total amount of funds in transit, we multiply the average daily amount by the average delay:
Total funds in transit = Average daily amount × Average delay
= ($250,000 / 30 days) × 5 days
= $8,333.33 × 5
= $41,666.67
Rounding to the nearest whole number, the average daily float is $41,667.
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Un albañil puede construir una barda en 8 días, mientras que su ayudante puede hacerlo en 10 días ¿Cuánto tiempo tardarán en construir la barda juntos?
The wall will be constructed by the mason and his assistant in a total of 4.44 days, or 4 days and 10.5 hours.
To solve the problem, we can use the concept of "work done" as a unit of measurement. If we consider building the wall as a unit of work, then we can say that the mason can complete 1/8 of the work in one day, and the assistant can complete 1/10 of the work in one day. Working together, the mason and his assistant can complete 1/8 + 1/10 of the work in one day. To add these two fractions, we need to find a common denominator:
1/8 + 1/10
= 5/40 + 4/40
= 9/40
So together, the mason and his assistant can complete 9/40 of the work in one day.
To find out how long it will take them to complete the whole wall, we can set up a proportion. Let x be the number of days it will take them to build the wall together:
(9/40) × x = 1
Solving for x, we get:
x = 40/9
Therefore, it will take the mason and his assistant approximately 4.44 days, or about 4 days and 10.5 hours, to build the wall together.
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Complete Question
A mason can build a wall in 8 days, while his assistant can do it in 10 days. How long will it take them to build the wall together?
Solve for x.
y = (5+x}m
Answer?
Answer:
x=ym−4
Step-by-step explanation:
y=(4+x)m
Here we have one equation with three unknowns. This cannot be "solved". We can only express one variable in terms of the other two.
Let's isolate x.
Divide through by m
ym=4+x
x=ym−4
(I really hope this helps)
The illusion at the right is created using squares and straight lines.
b. How are MN and QR related? AB, CD , and OP?
MN and QR are parallel lines in the illusion at the right. the lines AB, CD, and OP contribute to the overall illusion by providing depth and perspective cues.
In the given illusion, it is evident that MN and QR are parallel to each other. This relationship can be observed by examining the arrangement of squares and straight lines. By following the lines and comparing the positions of MN and QR, it becomes clear that they never intersect and remain equidistant throughout the illusion. Hence, we can conclude that MN and QR are indeed parallel lines.
Regarding the other elements, **AB, CD, and OP are diagonal lines** in the illusion. These diagonal lines intersect the parallel lines MN and QR at various points. Each diagonal line intersects the parallel lines at a different angle, creating an optical illusion of depth and perspective. The arrangement of squares and lines in the illusion creates a visual perception that the diagonal lines are either extending towards or receding away from the viewer, enhancing the three-dimensional effect. Therefore,
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what other observations can be made about the sat scores based on the tabular and graphical summaries?
In general, here are some observations that can be made about SAT scores based on tabular and graphical summaries: Distribution, Variation by subgroup, Trends over time, Correlation with other variables,
Summaries:
Distribution: The distribution of SAT scores can be analyzed using measures such as mean, median, mode, and standard deviation. A histogram or box plot can also show the shape of the distribution and any outliers.Variation by subgroup: SAT scores may vary by different subgroups such as gender, race, and socio-economic status. Tables or graphs can be used to compare the average scores of different subgroups.Trends over time: SAT scores may change over time, and tables or line graphs can be used to show trends in average scores over multiple years.Correlation with other variables: Tables or scatterplots can be used to examine the relationship between SAT scores and other variables such as high school GPA, family income, or college admission rates.Overall, tabular and graphical summaries can provide valuable insights into the distribution, variation, trends, and correlations of SAT scores, helping to identify patterns and relationships that may be useful for further analysis or decision-making.
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Find the matrix A' for T relative to the basis B'.
T: R^2 ---> R^2, T(x, y) = 2x-3y, 4x), B' = { (-2,1), (-1,1) }
The matrix A' for the linear transformation T relative to the basis B' is:
A' = \(\left[\begin{array}{ccc}2&-3\\4&0\\\end{array}\right]\)
To find the matrix A' for the linear transformation T relative to the basis B', we need to determine how the transformation T maps the basis vectors of B' onto the standard basis of \(R^2\).
The basis B' = {(-2, 1), (-1, 1)} consists of two vectors.
We apply the transformation T to each basis vector and express the results as linear combinations of the standard basis vectors (1, 0) and (0, 1).
Applying T to the first basis vector, we have:
T(-2, 1) = 2*(-2) - 3*(1), 4*(-2) = (-4, -2)
Similarly, applying T to the second basis vector, we have:
T(-1, 1) = 2*(-1) - 3*(1), 4*(-1) = (-5, -4)
Now, we express these transformed vectors in terms of the standard basis:
(-4, -2) = -4*(1, 0) - 2*(0, 1)
(-5, -4) = -5*(1, 0) - 4*(0, 1)
The coefficients of the standard basis vectors in these expressions form the columns of the matrix A':
A' = \(\left[\begin{array}{ccc}-4&-5\\-2&-4\\\end{array}\right]\)
Therefore, the matrix A' for the linear transformation T relative to the basis B' is:
A' = \(\left[\begin{array}{ccc}2&-3\\4&0\\\end{array}\right]\)
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3w + 4u - 6
Simplify
Step-by-step explanation:
There are many different ways to simplify this. It could be
3(w-2)+4u , 2(2u-3)+3w , or something else.
The price of a stove is s dollars. Pedro makes a 10% down payment for a two-year installment purchase. The monthly payment is m dollars. Express the finance charge algebraically.
Answer:
0.2
Step-by-step explanation:
The process of measuring, analyzing, enhancing, and then controlling processes once they have been brought within the narrow six sigma quality tolerances or standards is referred to as the:______.
The process of measuring, analyzing, enhancing, and then controlling processes once they have been brought within the narrow Six Sigma quality tolerances or standards is referred to as the
Six Sigma process
What is Six Sigma?The phrase "Six Sigma" refers to a collection of quality-control methods that organisations can utilise to get rid of flaws and enhance operations so as to increase productivity and revenues. A scientist created it in the 1980s while he was employed by Motorola.
A statistical and data-driven technique called Six Sigma examines small errors or flaws. It places a focus on cycle-time gains while lowering manufacturing faults to no more than 3.4 incidents per million units or events. The fact that only 3.4 out of a million events along a bell curve will deviate by more than six standard deviations indicates that an error usually occurs with an event that deviates by six standard deviations from the mean.
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ruby company has an annual profit, in billions, that has a normal distribution with variance that is equal to the cube of its mean. the probability of an annual loss is 5%. calculate the company's expected annual profit.
Therefore, the expected annual profit of Ruby Company is 2.703 billion dollars using probability.
Let X be the annual profit of the company. We know that X follows a normal distribution with variance equal to the cube of its mean, i.e., Var(X) = (E[X])^3.
To find the expected annual profit, we need to find the mean of X, denoted as E[X].
We are given that the probability of an annual loss is 5%. This means that the probability of making a profit is 1 - 0.05 = 0.95.
Let Z be a standard normal random variable, then we have:
P(X < 0) = P((X - E[X]) / sqrt(Var(X)) < (0 - E[X]) / sqrt(Var(X)))
= P(Z < -E[X] / (E[X])^(3/2))
Since P(X < 0) = 0.05, we have:
0.05 = P(Z < -E[X] / (E[X])^(3/2))
Using a standard normal table or calculator, we can find that P(Z < -1.645) = 0.05, where -1.645 is the 5th percentile of the standard normal distribution.
Thus, we have:
-E[X] / (E[X])^(3/2) = -1.645
this equation, we get:
E[X]^(1/2) = 1.645
Taking the square of both sides, we get:
E[X] = 2.703
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Solve the equation by graphing the related function:
-x^2-5=0
Answer:
love youre profile it's from Saiki K
Step-by-step explanation:
We use the factoring form becuase our c is zero and it in standard quadratic form so we rather factor than complete the square or quadratic formula since that is longer to do than just factor.
a) what is the probability that the company will make less than $2m? b) what is the probability that the company will make less than $1m or at least $2m?
The probability that the company will make less than $2m is 0.8 and b) the probability that the company will make less than $1m or at least $2m is 0.7
Here we are given respective probabilities of the revenue a company could make in a year.
a) Here we need to find the probability that it makes a revenue less than $ 2 million
This means that we need t find the probability that it makes revenue
less than $1M + greater than $1 M but less than $2M
= P(A₁) + P(A₂)
= 0.5 + 0.3
= 0.8
b)
The probability that the company will make less than $1M or at least $2M is
P(A₁ U A₃)
= P(A₁) + P(A₃) - P(A₁ ∩ A₃)
Since A₁ and A₃ are clearly mutually exclusive events, P(A₁ ∩ A₃) will be 0.
Hence we get
P(A₁ U A₃) = 0.5 + 0.2
= 0.7
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Complete Question
Assume the following in regard to a company’s annual revenue:
A₁ : Revenue < $1M; P(A₁) = 0.5
A₂ : Revenue > $1M but < $2M; P(A₂) = 0.3
A₃ : Revenue > $2M; P(A₃) = 0.2
a)What is the probability that the company will make less than $2M?
b)What is the probability that the company will make less than $1M or at least $2M
What is mean, median and mode?
4 6 7 7 9 11 13 14 15
A. Mean = 9.56 Median = 11 Mode = 7
B. Mean = 9 Median = 86 Mode = 7
C. Mean = 9.56 Median = 9 Mode = 7
D. Mean = 10.75 Median = 9 Mode = 7
Answer: A. Mean = 9.56, Median = 11, Mode = 7
Step-by-step explanation:
The mean, median and the mode for the given data is 9.56, 9, and 7 respectively.
How to find the mean, median, and mode of the data?Given data below:
4, 6, 7, 7, 9, 11, 13, 14, 15.In order to find the mean, it can be calculated by dividing a sum of all the data points with the number of data points in the data set.
The formula is:
\(\bar{M}=\dfrac{\sum M}{N}\)
\(\bar{M}=\dfrac{4+6+7+7+9+11+13+14+15}{9}\)
\(\bar{M}=\dfrac{86}{9}\)
\(\bar{M}=9.56\)
Next, we will find the median.
In order to find the median, we got to place the numbers in value order and find the middle.
So,
\(\text{Median}=9\)
Lastly, we will find the mode.
To find the mode, order the numbers lowest to highest and see which number appears the most often.
So,
\(\text{Mode}=7\)
Thus, the mean, median and the mode for the given data is 9.56, 9, and 7 respectively.
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What is the slope of the function?
Answer:10
Step-by-step explanation:
How much money must be deposited to earn $219 in simple interest in 8 years at an annual rate of 6.2%?
Answer: $1,147.20.
Step-by-step explanation:
The total amount accrued for principal plus interest in the calculation simple interest
= principal * (1+ rate * number of years)
= $800 *(1+ 6.2% * 7)
= $1,147.20.
Hopefully his helped, if not HMU and I will try my best to get u a better answer! :)
A 5-member team is going to run a relay race on Course B. Each person has to run an equal distance in the race. Course B is 212 times as long as Course A. The length of Course A is 214 miles. How many miles should each team member run in the race
Each team member should run 9073.6 miles in the race on Course B.
Let's break down the problem step by step:
1. First, we need to find the length of Course B. We know that Course B is 212 times as long as Course A, and Course A is 214 miles. So, to find the length of Course B, we multiply:
Course B length = 212 × 214 miles
2. Calculate the length of Course B:
Course B length = 45368 miles
3. Now, we need to determine the distance each team member should run. There are 5 members on the team, and they need to run an equal distance on Course B. To find the distance for each member, we divide the total length of Course B by the number of team members:
Distance per member = Course B length / number of members
4. Calculate the distance per team member:
Distance per member = 45368 miles / 5
5. Finally, we find the distance each team member should run:
Distance per member = 9073.6 miles
So, each team member should run 9073.6 miles in the race on Course B.
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HELP!! I only need answers for 9 &10! WILL GIVE BRAINLEST
The monthly expenditure of September for question 9 and 10 are respectively $107.91 and $19892.25
From the question, it is rather easy to figure out. We are given expenditures from May through August, September missing but we are also provided with the average expenditure.
We know that the average expenditure is given as
sum of expenditure of all the months / number of months
So, for number 9, we have
[(112.11 + 97.13 + 106.45 + 121.85 + x) / 5] = 109.09
(437.54 + x) / 5 = 109.09....... if we cross multiply
437.54 + x = 109.09 * 5
437.54 + x = 545.45
x = 545.45 - 437.54
x = 107.91
And for number 10, we have
[(23687.12 + 19871.03 + 20056.90 + 24510.30 + y) / 5] = 21603.52
(88125.35 + y) / 5 = 21603.52......... if we cross multiply
88125.35 + y = 21603.52 * 5
88125.35 + y = 108017.6
y = 108017.6 - 88125.35
y = 19892.25
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A shipment to a warehouse consists of 2,250 MP3 players the manager chooses a random sample of 50 mp3 finds 4 that are defective how many MP3 players in the shipment are likely to be defective
Answer:
There will be 180 mp3s defective
Step-by-step explanation:
Since out of 50, there are 4 defective, so you have to do 2,250 divided by 50, which is 45. Then multiply 45 by 4 to get 180
I need help on this and the person who answer this correctly gets a BRANLIST(answer if you know)