Answer:
x > 7
Step-by-step explanation:
3x - 5 > 16 Add 5 to both sides
3x - 5 + 5 > 16 + 5
3x > 21 Divide both sides by 3
x > 7
Helping in the name of Jesus.
The average time a unit spends in the waiting line equals
a. Lq divided by λ
b. Lq times μ
c. Lq divided by μ
d. Lq times λ
The correct answer is c. Lq divided by μ.
In queuing theory, Lq represents the average number of units waiting in the queue, and μ represents the service rate or the average rate at which units are served by the system. The average time a unit spends in the waiting line can be calculated by dividing Lq (the average number of units waiting) by μ (the service rate).
The formula for the average time a unit spends in the waiting line is given by:
Average Waiting Time = Lq / μ
Therefore, option c. Lq divided by μ is the correct choice.
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What power of 2 does (2^5)^3 represent
Step-by-step explanation:
They are basically saying that you have to multiply the exponent law cited from exponents laws. this results in 5 times 3 in the exponent. Therefore you get 2^15.
Complete the statement. The ratio of MM'/MM" is x/3
The value of x is 1.
What is a line segment?
A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction.
Here, we have
Given:
The ratio of MM'/MM" is x/3.
We have to find the value of x.
MM' = 3 blocks
MM" = 9 blocks
MM'/MM" = 3/9 = 1/3 = x/3
x = 1
Hence, the value of x is 1.
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Anja has worked at her job for 6-12 years. Each year she
works 48 weeks, and each week she works 37 hours.
How many hours does Anja work each year?
Too much information (explain why
Answer:
Anja's years of experience at her job, which is between 6 and 12 years, is irrelevant to the calculation of how many hours she works each year. The information given about the number of weeks and hours worked per week is sufficient to calculate the total number of hours she works per year. Therefore, the information about her years of experience is unnecessary and does not contribute to answering the question.
my square orchid garden abuts my house so that the house itself forms the northern boundary. the fencing for the southern boundary costs $5 per foot, and the fencing for the east and west sides costs $3 per foot. find the total cost of the fencing as a function of the length (in feet) of a side x.
The total cost of the fencing as a function of the length of the x side is 11x
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
southern = 5$east = 3$west = 3$side = xTotal cost = ?Calculating the total cost:
Total cost = (southern + east + west) * side
Total cost = (5 + 3 + 3)*x
Total cost = 11x
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Which of the following is a pair of equivalent radical expressions?
A
45−−√and315−−√
B
75−−√and35√
C
54−−√and96√
D
180−−−√and320−−√
Answer:
correct answer is D i think so
6) There are 11 marbles in a bag. Two are yellow, five are pink and four are green. Suppose you pull out one
marble, record its color, put it back in the bag and then pull out another marble. Find the probability that
when selecting 3 marbles, you have selected a yellow first, green second and pink last.
The probability is 0.1.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.acc to our question-
total marbles= 11yellow marbles=2pink marbles=5green marbles=30.01 + 0.04 + 0.05Hence,The probability is 0.1.
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abc is a right triangle with ab=ac. bisector of <a meets bc at d. prove that bc = 2ad.
Answer:
Let ac=ab=5
With this, bc= 5√2
Step-by-step explanation:
So to find ad, Let ad be x
5√2=(2)(x)
(5√2/2)= x
This proves that bc=2ad
hello can you help me with this question? 15 points
someone please help.
The completed table with regards to terms of an expression are presented as follows;
Condition \({}\) (6·x + 3) + (5·x - 4) (-4·y - 16) - 8·y + 10 + 2·y
Exactly 3 terms N/A \({}\) N/A
Exactly 5 terms N/A \({}\) N/A
Includes a zero pair No \({}\) No
Uses distributive property No No
Includes a negative factor No
Has no like terms False False
Condition \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\) 0.25·(8·m - 12) - 0.5·(-4·m + 2)
Exactly 3 terms No \({}\) No
Exactly 5 terms Yes \({}\) \({}\) No
Includes a zero pair No \({}\) \({}\) Yes
Uses the distributive property Yes \({}\) Yes
Includes a negative factor Yes \({}\) Yes
Has no like terms No \({}\) No
What is a mathematical expression?A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.
The details of the conditions in the question are as follows;
Terms of an expression
A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction
Zero pair
A zero pair are two numbers that when added together have a zero result
Distributive property
The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend
Negative factor
A negative factor is a factor that has a negative sign prefix
Like terms
Like terms are terms consisting of identical variables with the same powers of the variable
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Three liquids are to be mixed in the ratio of 5:3:1 . If ten liters is to be produced, how much of each of the ingredients should be used ?
Answer:
4,320
Step-by-step explanation:
One gallon = 15,140 drips
One liter = 4,000 drips
The ingredients that should be used will be ( 50 / 9 ), ( 5 / 3 ), and ( 10 / 9 ).
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that three liquids are to be mixed in the ratio of 5:3:1.and their total is ten liters. The quantity of each part will be calculated as:-
Let the ratio is L₁ = 5x, L₂ = 3x and L₃ = x.
5x + 3x + x = 10
9x = 10
x = 10 / 9
The fraction of each part will be calculated as:-
5x = 5 x { 10 / 9 ) = 50 / 9
3x = 3 x ( 10 / 9 ) = 10 / 3
x = 10 / 9
Therefore, the ingredients that should be used will be ( 50 / 9 ), ( 5 / 3 ), and ( 10 / 9 ).
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If the subspace of all solutions of Ax = 0 has a basis consisting of two vectors and if A is a 4 times 6 matrix, what is the rank A?
In this case, The rank of A is 4.
What is the rank A?A subspace of all solutions of Ax = 0 can be defined as the null space of the matrix A. If we know the basis for this subspace, we can use that information to determine the rank of the matrix A
.The rank of A can be calculated using the following formula:
rank(A) = n - dim(N(A)),
where n is the number of columns in A and dim(N(A)) is the dimension of the null space of A.
Since A is a 4 x 6 matrix, we know that n = 6. We also know that the subspace of all solutions of Ax = 0 has a basis consisting of two vectors.
Since the null space is defined as the span of these vectors, we can say that dim(N(A)) = 2.
Therefore,rank(A) = 6 - 2 = 4
The rank of A is 4.
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How do I do compound Interest?
Step-by-step explanation:
Compound interest is calculated by multiplying the initial loan amount, or principal, by the one plus the annual interest rate raised to the number of compound periods minus one. This will leave you with the total sum of the loan including compound interest.
Dominick is planning to take a vacation to either Orlando or Tampa Bay. He wants to go to the city that is warmer, on average. The box plot shows the temperatures from the previous year during the time that Dominick will take his vacation: box plot labeled Orlando with min at 64. 5, Q1 at 65. 5, median at 67. 5, Q3 at 71. 5, max at 72. 5. Box plot labeled Tampa Bay with min at 60, Q1 at 63. 5, median at 66. 25, Q3 at 72. 5, max at 74 Which city should Dominick visit, and why? He should visit Orlando. It has a greater IQR. He should visit Orlando. The median is higher and the range is smaller, so the temperature is higher on average. He should visit Tampa Bay. The highest temperature occurred there. He should visit Tampa Bay. The range is very large, so there is a better chance that any given day will be warm.
Answer:
B. He should visit Orlando. The median is higher and the range is smaller, so the temperature is higher on average
Step-by-step explanation:
i took the test
Find an equation of the line that satisfies the given conditions.Through (-1, -2) and (4, 3)
The equation of the line through the points (-1, -2) and (4, 3) is y = x + 3.
The equation of a line can be found using the point-slope form, where the slope of the line is determined from the two given points and the equation is written in the form y = mx + b, where m is the slope and b is the y-intercept.
Given the points (-1, -2) and (4, 3), the slope of the line can be calculated as (3-(-2))/(4-(-1)) = 5/5 = 1.
Plugging in the coordinates of one of the points and the slope into the point-slope form, we have:
y - -2 = 1(x - -1)
Simplifying, we get:
y = x + 3 is the required equation of the line.
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Brandon and Nestor are participating in a bicycle race on a circular track with a radius of 200 feet.
a. If the race starts at (200,0) and both complete one rotation in 30 seconds, what are their coordinates after 5 seconds?
The coordinates are (100, 173.2) after 5 seconds.
What are examples of coordination?
Being able to move and use your body efficiently as well as several individuals or things operating well together are the definitions of coordination. When a gymnast walks on a tightrope without falling, that's coordination in action. When two people collaborate to arrange or coordinate a party, that is an example of coordination.Let x represent the angle of rotation in 5 seconds.
\(\frac{Irotation }{time} = \frac{current position}{time}\)
360° / 30 = x°/ 5
30x = 1800
x = 60°
To find the coordinates, use sine and cosine ratios.
Sin60 = opposite/ hypotenuse
sin60 = y / 200
y = 200sin60
y ≈ 173.2
cos60 = adjancent/ hypotenuse
cos60 = x / 200
x = 200cos60
x = 100
The coordinates are (100, 173.2).
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A triangle has angles of 30,60,90. it is dilated by a scale factor of 3 give the angle meansures of the dilation of the angle
Answer:
30°, 60°, 90°
Step-by-step explanation:
A dilation creates a similar triangle; therefore the angle measures do not change.
The new triangle also has angles with measures 30°, 60°, 90°.
There are 54 green chairs and 36 red chairs in an auditorium.
There are 9 rows of chairs. Each row has the same number of
green chairs and red chairs.
Explain how the number of green chairs and red chairs in
each row can be used to write an expression that shows
the total number of chairs in the auditorium.
Use the drop-down menus to complete the explanation.
To determine the number of green chairs and red chairs in each
row, Choose... 54 and 36 by 9.
The total number of chairs can be expressed as the product of
9 and the Choose... of the green chairs and red chairs in
each row. This is represented by the expression
Choose...
An expression that shows the total number of chairs in the auditorium is 9(6+4).
Given that, there are 54 green chairs and 36 red chairs in an auditorium.
To determine the number of green chairs and red chairs in each row, divide 54 and 36 by 9. This gives us 6 green chairs and 4 red chairs in each row.
The total number of chairs can be expressed as the product of 9 and the sum of the green chairs and red chairs in each row.
This is represented by the expression 9(6+4), which is equal to 90 chairs.
Therefore, an expression that shows the total number of chairs in the auditorium is 9(6+4).
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Which of the following are assumptions underlying the simple linear regression model y = Bo B1x e? Check all that apply The variance of the error term e varies for differing values of x. The error term is a random variable with an expected value of zero. The error term is normally distributed. The error term E follows a chi-square distribution.
The error term is a random variable with an expected value of zero.2. The error term is normally distributed
The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.
The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.
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5-2*3^2
Also buzz cut for frisk
This one was rushed because I’m finishing with a quiz
Answer:
-13
Step-by-step explanation:
PEMDAS
5-2*3^2
5-2*9
5-18
answer: -13
What is the mean and median of 73 45 88 90 90 81 83
Answer:
Mean = 78.5
Median = 83
find the mean, median and mode of these numbers: 9, 10, 9, 9, 11, 9, 10, 9, 9, 10 round all answers to the hundreth place.
The mean median mode of the data 9,10,9,9,11,9,10,9,9,10 is
Mean =9.5
Median = 11 or 9
Mode is 9
Given that,
The data is 9,10,9,9,11,9,10,9,9,10
The data's mean, median, and mode must be determined.
We know that,
The arithmetic mean of the provided data is another name for mean. If the data are grouped and sorted in ascending order, the median is the value that falls in the middle of the set of grouped data. The value that dominates the data is known as the mode. The Mean, Median, and Mode formulas are described independently for the group of data in the sections that follow.
The data is 9,10,9,9,11,9,10,9,9,10
Mean = 9+10+9+9+11+9+10+9+9+10/10 =95/10=9.5
Median = 11 or 9
Mode is 9
Therefore, The mean median mode of the data 9,10,9,9,11,9,10,9,9,10 is
Mean =9.5
Median = 11 or 9
Mode is 9
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How many powers of 7 are contained in 10?
There is only 1 power of 7 contained in 10.
Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.
Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.
The digit in the tens place is the same.
The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.
The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.
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There is only 1 power of 7 contained in 10.
Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.
Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.
The digit in the tens place is the same.
The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.
The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.
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find the quotient of 6y²-5y-56 and 2y-7.
help.
Answer:
i have made it in above picture
Let C be the circle relation defined on the set of real numbers. For every X. YER,CY x2 + y2 = 1. (a) Is Creflexive justify your answer. Cis reflexive for a very real number x, XCx. By definition of this means that for every real number x, x2 + x? -1. This is falsa Find an examplex and x + x that show this is the case. C%. X2 + x2) = X Since this does not equal1, C is not reflexive (b) is symmetric? Justify your answer. C is symmetric -- for all real numbers x and y, if x Cytheny Cx. By definition of C, this means that for all real numbers x and y, if x2 + y2 - 1 y + x2 - 0 This is true because, by the commutative property of addition, x2 + y2 = you + x2 for all symmetric then real numbers x and y. Thus, C is (c) Is Ctransitive? Justify your answer. C is transitive for all real numbers x, y, and 2, if x C y and y C z then x C 2. By definition of this means that for all real numbers x, y, and 2, if x2 + y2 = 1 and 2 + 2 x2 + - 1. This is also. For example, let x, y, and z be the following numbers entered as a comma-separated list. - 1 then (x, y, z) = = Then x2 + y2 = 2+z? E and x2 + 2 1. Thus, cis not transitive
The circle relation C defined on the set of real numbers is not reflexive and transitive but it is symmetric.
(a) C is not reflexive. To be reflexive, for every real number, xCx must hold true, meaning \(x^{2} + x^{2}\)= 1. This is false. For example, let x=0. In this case, \(x^{2} + x^{2}\) = 0, which does not equal 1. Therefore, C is not reflexive.
(b) C is symmetric. If xCy then yCx, for all real numbers x and y. If we see the definition of C, this means that if \(x^{2} + y^{2}\) = 1, then \(y^{2} + x^{2}\) = 1. This is true due to the commutative property of addition (\(x^{2} + y^{2} = y^{2} + x^{2}\) for all real numbers x and y). Thus, C is symmetric.
(c) C is not transitive. To be transitive, if xCy and yCz, then xCz must hold true for all real numbers x, y, and z. This means that if \(x^{2} + y^{2}\) = 1 and \(y^{2} + z^{2}\) = 1, then \(x^{2} + z^{2}\)must equal 1. This is not always true. Let's take an example (x, y, z) = (1, 0, -1). Then \(x^{2} + y^{2}\) = 1, \(y^{2} + z^{2}\)= 1, but \(x^{2} + z^{2}\) = 2, not 1. Thus, C is not transitive.
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Analysts may use regression analysis to estimate the index model for a stock. When doing so, the intercept of the regression line is an estimate of
In the context of estimating the index model for a stock using regression analysis, the intercept of the regression line represents the estimated excess return of the stock when the market return is zero. This intercept is also known as the alpha or abnormal return.
The index model relates the returns of a particular stock to the returns of the market index, and the intercept provides information on the stock's performance relative to the market.
If the intercept is positive, it suggests that the stock has outperformed the market during the period for which the regression was performed, while a negative intercept indicates underperformance.
However, it is important to note that the intercept alone may not be sufficient to fully assess a stock's performance, and it should be used in conjunction with other metrics such as beta, R-squared, and residual analysis to gain a more complete understanding of the stock's behavior.
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find the area of the square
Answer:
100 sq units
Step-by-step explanation:
hypotenuse of the right triangle is the length of the square and we can find it by using the Pythagorean Theorem:
6² + 8² = c²
c² = 36+64
c² = 100
c = √100
c = 10
Area of square = 10² = 1--
A box of 15 markers cost is $2.40 how much will a box of 40 marker’s cost
Answer:
$6.40
Step-by-step explanation:
Answer:
Step-by-step explanation:
6.4
413/19 and I have to check using multiplication answer fast pls I’ll give 25 points
Please help! Trig!!!!!!!l. Look at the image! And answer the question! Thank u!
Answer:
IF tan(theta) = -8/7 = opposite side/adjacent side, then that means that sin(theta) = -8/(sqr(64+49) = -8/sqr113 = about -0.7526
Step-by-step explanation:
the tangents are negative in the quadrant II or IV
and sines are negative in the quadrant III or IV
so i think that this angle is in quadrant IV to satisfy for the of the both requirements.
but angle 0 seems to try and mean something other than 0 degrees or 0 radians. so It probably just means theta, which is a 0 probably with a line through it
IF tan(theta) = -8/7 = opposite side/adjacent side, then sin(theta) = -8/(sqr(64+49) = -8/sqr113 = about -0.7526
I hope this helps