Answer:8a<8b
Step-by-step explanation:
8a<8b
Ill mark u as brainliest if u answer this!!!
Answer:
min=28
lower=34
median=39
upper=46.5
max=55
inter range=12.5
Step-by-step explanation:
Nice that the numbers are in order for you
The min is your smallest number = 28
To find the next part separate into 4 equal parts so you have 3 lines
The first line is between 34 and 34 the average of the 2 numbers is your lower quartile
lower quartile =34
middle line is your median between 39 and 39
median = 39
upper quartile is that 3rd line between 42 and 51 average is upper
upper quartile = (42+51)/2 = 46.5
max is the highest number = 55
Interquartile range is the difference between upper and lower = 12.5
Answer:
Step-by-step explanation:
The distance traveled can be calculated using the formula D=s.t where s is the speed
and t is the total time. If a bus traveled 45 km/h for 5 hours, how far did the bus travel?
Answer:
225 km
Step-by-step explanation:
D=S*T
D=45*5=225
Have a nice Day , Hope this helped you I would appreciate it if you could mark my answer brainliest
Simplify the following expressions:
a) (√3 +√7)^2
b) (√5 -√3)^2
c) (2√5 + 3√2)^2
1.) 10+2√21
2.) 8-2√15
3.) 38+2√10
solution to all the answers:
NUMBER 1:
=> use (a + b)^2 + 2ab + b^2 to expand the expression (√3 +√7)^2, then it should look like this: 3 + 2√21 + 7.
=> add the numbers: 10 + 2√21.
NUMBER 2:
=> use (a + b)^2 + 2ab + b^2 to expand the expression (√5 -√3)^2, then it should look like this: 5 - 2√15 + 3.
=> add the numbers: 8 - 2√15.
NUMBER 3:
=> use (a + b)^2 + 2ab + b^2 to expand the expression (2√5 + 3√2)^2, then it should look like this: 20 + 12√10 + 18.
=> add the numbers: 38 + 12√10.
I HOPE THIS HELPED!!
what is 7.5cm = to in mm?
Answer:
75mm
Step-by-step explanation:
1cm = 10mm
u multiply 7.5 by 10
Answer:75
Step-by-step explanation:
Contradiction Club holds a yearly proof competition, with special unique prizes for first, second, third, and fourth place. If 16 students enter the competition this year, how many ways can these prizes be distributed among the students
A proof competition is held annually by Contradiction Club, with special prizes awarded for first, second, third, and fourth place. If 16 students participate in the competition this year, the awards can be allocated among the students in 120 different ways.
How many ways can five different prizes be distributed among five people?120 ways, The first person has a choice from 5 prizes, the second has a choice from 4 prizes, and so on. The awards can be awarded in 5 different ways, or 5 × 4 × 3 × 2 × 1 = 120 different ways. When each student is qualified for each reward, the number of ways that 5 prizes can be distributed to 8 students is. \(5^(8)``8^(5)``8xx5!``5 xx 8!`\) You may clear your doubts and achieve good exam results with the help of step-by-step solutions provided by specialists.For the first reward, there are 8 options. There are then 7 options for the second prize. Furthermore, there are 6 options for the third prize. As a result, there are 336 ways: 8 × 7 × 6. ∴ Total ways = 4× 3 ×2 = 24 ways = 4!To learn more about Contradiction Club refer to :
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Dale made $273 dollars for 13 hours of work. At the same rate how much would he make for 8 hours of work.
Answer:
$168
Step-by-step explanation:
273 dollars for 13 hours of work is a unit rate of 273/13=21 dollars per hour. Multiplying this by 8 hours of work, you get 168 dollars. Hope this helps!
Solve the application problem. Round to the nearest percent.
Last month, Jones Used Car Lot sold $150,000.00 worth of cars. This month their car sales reached $450,000.00. What was their percent increase in car sales?
Answer:
200%
Step-by-step explanation:
\(\boxed{\begin{minipage}{8 cm}\underline{Percent change formula}\\\\$\rm Percent\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100$\\ \end{minipage}}\)
Given values:
Initial value = $150,000Final value = $450,000Substitute the values into the percent change formula to find the percent increase in car sales:
\(\begin{aligned} \implies \textsf{percent change}&=\dfrac{450000-150000}{150000}\times 100\\\\&=\dfrac{300000}{150000}\times 100\\\\ &=2\times 100\\\\&=200\%\end{aligned}\)
Therefore, the percent increase in car sales was 200%.
What is the slope of the line that passes through the points (6,−10) and (3, -13) ?
Answer:
1
Step-by-step explanation:
\(m = \frac{ - 13 \: - ( - 10)} {3 - 6} \)
\(m = \frac{ - 13 + 10}{3 - 6} \)
\(m = \frac{ - 3}{ - 3} \)
\(m = 1\)
John owed his brother $25.75, but was able to pay him back $19.45. How much does John owe brother owe now?
Answer:
$6.30
Step-by-step explanation:
So we are going to subtract what is owed by what is payed back to find out how much John owes his brother
$25.75 - $19.45 = $6.30
John owes his brother $6.30
is the distribution of adjusted number of nursing home residents symmetric or skewed? are there any states that could be considered outliers?
The distribution is symmetric or skewed, and if there are any outliers among the states.
The distribution of adjusted number of nursing home residents can be determined by analyzing the data. To check if it is symmetric or skewed, follow these steps:
1. Obtain the data on the adjusted number of nursing home residents for each state.
2. Create a frequency distribution or histogram of the data.
3. Analyze the shape of the histogram.
If the histogram has a roughly symmetrical shape, then the distribution is symmetric. If it is not symmetrical and shows a longer tail on one side, then the distribution is skewed (either positively or negatively).
To identify potential outliers:
1. Calculate the mean and standard deviation of the data.
2. For each state, calculate the z-score (the number of standard deviations away from the mean).
3. States with z-scores greater than +2 or less than -2 may be considered outliers.
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At age 45 when the deferred payments from his current contract ends, all-star shortstop Alex Rodriguez plans to have $230 million in savings from his baseball playing days. He wants two things from his savings: a 40-year ordinary annuity and $500 million at age 60 in order to purchase majority ownership in his native Miami's Florida Marlins. How large can his annual annuity payment be based on this information and assuming his savings can earn 8% annually after age 45 ? $6,069,727 $5,620,118 $6,906,832 $6,395,215
Therefore, the annual annuity payment can be approximately $6,069,727.
To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:
PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]
Where:
PMT = Annual annuity payment
PV = Present value of the annuity
r = Annual interest rate
n = Number of periods
Given:
PV = $230 million
r = 8% = 0.08
n = 40 years
Using the formula, we can calculate the annual annuity payment:
PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]
PMT ≈ $6,069,727
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Arrange the following numbers in order from least to greatest.
7, 7.1, 7.2, √51
Answer:
7, 7.1, √51, 7.2
Step-by-step explanation:
√51 is 7.14
Determine the following. (a) Find the 7th term in the expansion of (2x/3+y)^11 in descending powers of x (b) Find the ratio of the 3rd term and 4th term in the expansion of (3x+4y)^9 in descending powers of x
a) The 7th term is given by: (11 * 10 * 9 * 8) / (4 * 3 * 2 * 1) * (2/3)^4 * x^4 * y^7, b)The ratio of the 3rd term and 4th term is given by: (C(9, 3) * 3^6 * 4^3) / (C(9, 4) * 3^5 * 4^4).
(a) To find the 7th term in the expansion of (2x/3 + y)^11 in descending powers of x, we can use the binomial theorem. The general term in the expansion is given by:
T(k) = C(11, k) * (2x/3)^(11-k) * y^k.
To find the 7th term, we substitute k = 7 into the general term:
T(7) = C(11, 7) * (2x/3)^(11-7) * y^7
= C(11, 7) * (2/3)^4 * x^4 * y^7.
Using the binomial coefficient formula C(n, r) = n! / (r! * (n-r)!), we have:
C(11, 7) = 11! / (7! * (11-7)!)
= 11! / (7! * 4!).
Simplifying the expression further, we have:
T(7) = (11 * 10 * 9 * 8) / (4 * 3 * 2 * 1) * (2/3)^4 * x^4 * y^7.
Thus, The 7th term is given by: (11 * 10 * 9 * 8) / (4 * 3 * 2 * 1) * (2/3)^4 * x^4 * y^7.
(b) To find the ratio of the 3rd term and 4th term in the expansion of (3x + 4y)^9 in descending powers of x, we can apply the binomial theorem again. The general term in the expansion is given by:
T(k) = C(9, k) * (3x)^(9-k) * (4y)^k.
To find the ratio, we substitute k = 3 and k = 4 into the general terms:
Ratio = T(3) / T(4)
= C(9, 3) * (3x)^(9-3) * (4y)^3 / (C(9, 4) * (3x)^(9-4) * (4y)^4)
= C(9, 3) * 3^6 * 4^3 / (C(9, 4) * 3^5 * 4^4).
Using the binomial coefficient formula, we calculate:
C(9, 3) = 9! / (3! * (9-3)!)
= 9! / (3! * 6!).
C(9, 4) = 9! / (4! * (9-4)!)
= 9! / (4! * 5!).
Simplifying the expression further, we have:
Ratio = (C(9, 3) * 3^6 * 4^3) / (C(9, 4) * 3^5 * 4^4).
Thus, The ratio of the 3rd term and 4th term is given by: (C(9, 3) * 3^6 * 4^3) / (C(9, 4) * 3^5 * 4^4).
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In a card game each player is dealt a hand of 7 cards from a deck of 52 playing cards. Which expression red presents the number of hands possible
Answer:
That is just 13 C 4. So for the cards that are not hearts we have 52-13 = 39. So we need any 4 of those that are not hearts so its just 39 C 13. The total number of ways to pick any 7 cards is 52 C 7. ig...
Step-by-step explanation:
ig...
have a good day...
i don't think this answered ur question...srry if it didn't...
One third of -3. Answer gets Brainlyest
Answer:
negative one
Step-by-step explanation:
Solve this system of linear equations without graphing: 3y + 7 = 5x 7x-3y = 1
Answer:
x = -3
Step-by-step explanation:
3y + 7 = 5x
3y = 5x - 7
y = 5x/3 - 7/3 (Isolate y.)
7x - 3y = 1
-3y = 1 - 7x
y = -1/3 + 7x/3 (Isolate y.)
5x/3 - 7/3 = -1/3 + 7x/3 (Set the equations equal to each other. Simplify.)
5x/3 - 2 = 7x/3
-2 = 2x/3
-6 = 2x
-3 = x
Match each expression on its left to its product
Answer:
there is no expression to look at. you forgot to put a picture
Step-by-step explanation:
add a picture next time!
E.7. For which of the following integrals is u-substitution appropriate? Possible Answers 1 1. S -dx 2x + 1 6 1 S · Sæe=², 1 2. 3. 4. 5. x + 1 reda dx sin x cos x dx 0 3x² + 1 S dx X Option 1 Opti
Out of the given options, u-substitution is appropriate for the integrals involving sin(x), cos(x), and x^2 + 1.
The u-substitution method is commonly used to simplify integrals by substituting a new variable, u, which helps to transform the integral into a simpler form. This method is particularly useful when the integrand contains a function and its derivative, or when it can be rewritten in terms of a basic function.
1. ∫sin(x)cos(x)dx: This integral involves the product of sin(x) and cos(x), which can be simplified using u-substitution. Let u = sin(x), then du = cos(x)dx, and the integral becomes ∫udu, which is straightforward to evaluate.
2. ∫(x^2 + 1)dx: Here, the integral involves a polynomial function, x^2 + 1, which is a basic function. Although u-substitution is not necessary for this integral, it can still be used to simplify the evaluation if desired. Let u = x^2 + 1, then du = 2xdx, and the integral becomes ∫du/2x.
3. ∫e^(2x)dx: This integral does not require u-substitution. It is a straightforward integral that can be solved using basic integration techniques.
4. ∫(2x + 1)dx: This integral involves a linear function, 2x + 1, which is a basic function. It does not require u-substitution and can be directly integrated.
5. ∫dx/x: This integral involves the natural logarithm function, ln(x), which does not have a simple antiderivative. It requires a different integration technique, such as logarithmic integration or applying specific integration rules.
In summary, u-substitution is appropriate for integrals involving sin(x), cos(x), and x^2 + 1, while other integrals can be solved using different integration techniques.
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Suppose that E and F are two events and that P(E and F)=0.1 and P(E)=0.2. What is P(F/E)
From the given information provided, the probability of event F given that event E has occurred is 0.5.
Conditional probability is probability of an event A occurring with given that event B has occurred. It is denoted as P(A|B) and is calculated as follows:
P(A|B) = P(A and B) / P(B)
To find P(F/E), we use the conditional probability formula:
P(F/E) = P(E and F) / P(E)
We are given that P(E and F) = 0.1 and P(E) = 0.2. Substituting the given values in the formula, we get:
P(F/E) = 0.1 / 0.2
Simplifying this expression, we get:
P(F/E) = 0.5
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Suppose a quadratic function has factors (2x - 5) and (x + 3). What are its zeros?
3, 12 , 48 Whats the 11th term ??
Given:-
\(3,12,48,\ldots\)To find:-
The 11th term.
So observing the pattern its clear that the term is increasing by multiplying with 4. so we get the fourth term as,
\(48\times4=192\)So the fifth term is,
\(192\times4=768\)So the sixth term is,
\(768\times4=3072\)So the seventh term is,
\(3072\times4=12288\)So the eigthth term is,
\(12288\times4=49152\)So the ninth term is,
\(49152\times4=196608\)So the tenth term is,
\(196608\times4=786432\)So the eleventh term is,
\(786432\times4=3145728\)So the required 11th term is 3145728.
Write as an exponential equation. log₆ 1/36 = -2 The logarithm log₆ 1/36 = -2 written as an exponential equation is (Type an equation. Type your answer using exponential notation. Use integers or fractions for any numbers in the equation.)
Answer:
\( {6}^{ - 2} = \frac{1}{36} \)
Vocabulary Choose the example of an inverse relationship.
Multiplying by 4 is the inverse of multiplying by –4.
Multiplying by 4 is the inverse of adding by 4.
Dividing by 4 is the inverse of multiplying by 4.
Dividing by 4 is the inverse of multiplying by –4.
Answer:Dividing by 4 is the inverse of multiplying by 4.
Step-by-step explanation:
F(a, b, c, d) = m(0,2,3,10,15) +d(7,9,11)
F(a, b, c, d) is a function defined as the sum of the product of the elements in sets {0, 2, 3, 10, 15} and the elements in set {7, 9, 11}.
The function F(a, b, c, d) represents a mathematical expression where a, b, c, and d are variables. The function calculates the sum of two terms. The first term, m(0,2,3,10,15), represents the product of the elements in the set {0, 2, 3, 10, 15} multiplied by an unknown coefficient m. The second term, d(7,9,11), represents the product of the elements in the set {7, 9, 11} multiplied by the variable d.
To evaluate the function, you would substitute specific values for a, b, c, and d. For example, if a = 1, b = 2, c = 3, and d = 4, the function would become F(1, 2, 3, 4) = m(0,2,3,10,15) + 4(7,9,11).
The function F(a, b, c, d) can be considered as a mathematical expression that combines two terms to obtain a result. The first term, m(0,2,3,10,15), involves an unknown coefficient m and the product of the elements in the set {0, 2, 3, 10, 15}. This means that each element in the set is multiplied by m and then added together. The second term, d(7,9,11), involves the variable d and the product of the elements in the set {7, 9, 11}. Similarly, each element in this set is multiplied by d and then added together.
The function F(a, b, c, d) is a general expression that can be evaluated by substituting specific values for a, b, c, and d. For instance, if a = 1, b = 2, c = 3, and d = 4, the function becomes F(1, 2, 3, 4) = m(0,2,3,10,15) + 4(7,9,11). This means that the elements in the first set are multiplied by m, while the elements in the second set are multiplied by 4. The resulting products are then summed to obtain the final value of the function.
In summary, F(a, b, c, d) is a mathematical function that involves the multiplication and addition of elements from two sets, with coefficients m and d, respectively. By substituting specific values, the function can be evaluated to obtain a numerical result.
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If 50 bicycles cost $100.50, then how many bicycles could you get for $45?
Please give details, thank you :)
Answer:
22 bicycles
Step-by-step explanation:
50 bicycles = $100.50
therefore 1 bicycle = $100.50 ÷ 50
= $2.01
so $45÷ $2.01 = 22 bicycles
because $2.01× 22= $44.22
$45.00- $44.22= $0.78
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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if you are going to receive $2,000 in six years from now, how much is that worth today, assuming 5 nnual simple interest? review later $1,538.46 $1,780.32 $1,904.76 $2,600.00
The initial amount is worth $ 1538.46
Simple interest:Simple interest is a type of interest that is calculated only on the principal amount of a loan or investment, without taking into account any additional interest that may be added over time.
Simple interest is calculated as a percentage of the principal amount and is usually expressed as an annual rate.
The formula to calculate simple interest is:
Simple Interest = Principal x Rate x Time/ 100
Here we have
You are going to receive $2,000 in 6 years from now
The annual simple interest rate is 5%
Let 'P' be the initial or principal amount
Using the formula, I = PTR/100
Simple interest will gain on 'P' at 5% for 6 years
=> I = P(6)(5)/100
=> I = 0.3P
And total amount = P + 0.3P = 1.3P
It is given that after 6 years we get $ 2000
=> 1.3P = 2000
=> P = 1538.46
Therefore,
The initial amount is worth $ 1538.46
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Please help Math answers
Answer:
on example 1, both are right triangles.
Please help me.
2. Use three digits to write a number equal to 3 hundreds, 4 tens, and 8 ones.
Answer:
348
Step-by-step explanation:
If we are asking for 3 digits, we are looking for hundreds, tens, and ones. The hundreds go first, so we have 3*100=300. Then the tens, so 4*10=40. Last the ones. 8*1=8. Finally, we add everything together. 300+40+8=34+8=348
Te invitamos a acceder al recurso "¿Cómo deducir información implícita para opinar?", que te ayudará a elaborar ideas propias u opiniones en tu investigación.
si lo resuelves te doy corona
La información implícita se deduce a partir de la información explícita y por medio de procesos de razonamiento, sea por reglas de inferencia, sea por modelos formales o fenomenológicos, cuyos resultados pueden ser contraintuitivos.
En esta pregunta nos piden explicar los medios para deducir información implícita, útil para razonamientos ulteriores.
La obtención de la información implícita, al igual que la explícita , obedecen a la necesidad de definir y enfrentar un problema concreto.
La información se refiere a cualquier dato relevante asociado a un problema, cuya naturaleza puede ser cardinal (i.e. números) o ordinales (i.e. proposiciones).
La información explícita es aquella información que puede obtenerse por simple inspección directa. Este tipo de dato es reconocido de manera consciente por los actores que viven el problema.
La información implícita es aquella información que solo puede obtenerse a partir de información explícita y procesos de razonamiento, los cuales pueden ser obtenidos en forma intuitiva o mediante reglas de inferencia o modelos formales o fenomenológicos, los cuales pueden ser contraintuitivos. Este tipo de dato no es reconocido en forma consciente por los actores que viven el problema, sino que es seminconsciente o inconsciente.
En síntesis, la información implícita se deduce a partir de la información explícita y por medio de procesos de razonamiento, sea por reglas de inferencia, sea por modelos formales o fenomenológicos, cuyos resultados pueden ser contraintuitivos.
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