What is 3/4 divided 5/16 in its simplest form?
Step-by-step explanation:
3/4÷5/16
3/4×16/5
=12/5(2 2/5)
(3/4) divided by (5/16) in its simplest form is 12/5.
To divide two fractions, you can multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping the numerator and the denominator. So, to divide (3/4) by (5/16), you can multiply (3/4) by the reciprocal of (5/16):
(3/4) ÷ (5/16) = (3/4) * (16/5)
Now, multiply the numerators and denominators:
Numerator: 3 * 16 = 48
Denominator: 4 * 5 = 20
3/4) ÷ (5/16) = 48/20
To simplify this fraction, find the greatest common divisor (GCD) of the numerator and the denominator, and then divide both by the GCD:
GCD of 48 and 20 is 4.
(48/4) ÷ (20/4) = 12/5.
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A school is holding a carnival and hopes to raise $500. Child ticket cost $3 and adult tickets cost $5. If the school sells x child tickets and y adult tickets, then the equation 3x + 5y = 500 expresses the fact that the school raised exactly $500 from ticket sales.
1. Solve the equation for x.
2. Explain when it might be helpful to rewrite the equation this way.
Answer:
To solve the equation 3x + 5y = 500 for x, we need to isolate x on one side of the equation. First, we can subtract 5y from both sides to get 3x = 500 - 5y. Then, we can divide both sides by 3 to get x = (500 - 5y) / 3.
It might be helpful to rewrite the equation in terms of one variable if we want to solve for one unknown quantity in terms of another. In this case, rewriting the equation in terms of x allows us to see how many child tickets the school needs to sell to raise exactly $500, given any number of adult tickets sold. This can be useful in planning and budgeting for the carnival.
Step-by-step explanation:
What is the length of the missing side?
(Will mark brainliest)
Answer: 9.7ft
Step-by-step explanation:
Answer:
9.7
Step-by-step explanation:
8.9+9.7+18.6=37.2
37.2-27.5=9.7
Can I get Brainliest!
Find the value of x.answer choicesA. 70B. 65C. 30D. 40
ANSWER
\(70\)EXPLANATION
In the given diagram;
The third angle on the triangle is calculated thus;
Let the third angle of the triangle be y;
\(\begin{gathered} y+15+20=180 \\ y=180-(15+20) \\ y=180-35 \\ y=145 \end{gathered}\)Now, the inscribed angle and angle y are on a straight line
Let the inscribed angle be denoted by z, hence;
By sum of angles on a straight line
\(\begin{gathered} z+145=180 \\ z=180-145 \\ =35 \end{gathered}\)Recall that intercepted arc is twice of inscribed angle, hence;
\(\begin{gathered} x=2z \\ =2\times35 \\ =70 \end{gathered}\)Which expression represents the correct form of the partial fraction decomposition of StartFraction 19 x + 20 Over x squared minus 64 EndFraction? StartFraction A x + B Over x squared minus 64 EndFraction StartFraction A Over x minus 8 EndFraction + StartFraction B Over x + 8 EndFraction StartFraction A x + B Over x squared minus 64 EndFraction + StartFraction C over x minus 8 EndFraction StartFraction A Over x minus 8 EndFraction + StartFraction B x + C Over (x minus 8) squared EndFraction
Answer:
A
Step-by-step explanation:
I got it right, Edg2020
Answer:
It's B!
Right On Edge
Step-by-step explanation:
Why are statistical calculations like random variable, variance, expected value, probability distributions and standard deviation important to risk management and insurance
statistical calculations are important in risk management and insurance because they help to quantify and model risk, predict future outcomes, and manage risk effectively.
Variance is important in risk management and insurance because it helps to assess the volatility or fluctuation of returns, which is important in determining how much risk an individual or company is willing to take. Random Variable :Random variables are essential in risk management because they help to determine the probability of specific outcomes. This is particularly important for insurance companies that need to calculate premiums and manage risk on behalf of policyholders .Expected Value: Expected value is critical to risk management because it helps to calculate the average outcome of an event over a large number of trials. This helps to predict future outcomes and manage risk. Probability Distributions :Probability distributions are important in insurance and risk management because they help to quantify and model the likelihood of different outcomes and events. This is critical in assessing and managing risk. Standard Deviation :Standard deviation is important in risk management because it helps to measure the amount of variability or dispersion of data around the mean or expected value. This is important in determining the level of risk associated with an investment or policy decision .
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pLeAsE hElP
Show workingssssssss
Thankssssssssssss
Answer:
i dont think you would wanna sin cause sin is the ordinary sense of the word and consists of evil acts, whether of thought, word, or deed and yh
Step-by-step explanation:
how does your empirical probability (results from experiment, including central tendency- range, mean, median, and mode) compare to the theoretical probability (likelihood of rolling each sum) of rolling a pair of dice? why do you think?
Rolling a pair of dice, the theoretical probability of rolling each sum can be determined by dividing the number of possible outcomes for each sum by the total number of possible outcomes (36).
Empirical probability, which is based on actual results from an experiment, can differ from theoretical probability, which is the expected probability based on mathematical calculations. In the case of rolling a pair of dice, the theoretical probability of rolling each sum can be determined by dividing the number of possible outcomes for each sum by the total number of possible outcomes (36). For example, the theoretical probability of rolling a sum of 7 is 6/36 or 1/6.
However, the empirical probability of rolling each sum may differ from the theoretical probability due to the random nature of the experiment. In other words, the actual results may not perfectly match the expected results due to chance variations. Additionally, factors such as the condition of the dice and the manner in which they are rolled can also affect the outcomes.
To compare the empirical and theoretical probabilities of rolling a pair of dice, we can calculate the range, mean, median, and mode of the results from the experiment. The range is the difference between the highest and lowest values observed, the mean is the average of all the results, the median is the middle value in the set, and the mode is the most frequently observed value.
Overall, the empirical probabilities may vary from the theoretical probabilities due to chance variations and other factors, but by analyzing the central tendency of the results, we can gain a better understanding of the overall outcomes of the experiment.
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X = Y + 4
2x - 3y = -2
2) What is the solution to the system of equations?
A) (6, 10)
B) (9.5)
(10.6)
D) (14.10)
Answer:
D) (14.10)
Step-by-step explanation:
x-y=42x -3y= -2
2. (x-y=4)2
(2x -3y= -2) 1
3. 2x-2y=8 (equation 1)
2x-3y =-2 (equation 2)
4.subtract equation 2 from equation 1 to eliminate x
5. y= 10
6. use either of the initial equations to find x eg.
x-y = 4
x- 10= 4
x = 10 + 4
x= 14
therefore x,y = 14,10
5/14 + -14/5
Can someone please help me I need it quick
Answer:
-171/70Step-by-step explanation:
5/14 + (-14/5) =
5/14 - 14/5 =
(25 - 196)/70 =
-171/70
Let X1, X2, X3 be independentlifetimes of memory chips. Suppose that each Xi has anormal distribution with mean 300 hours and standard deviation 10hours. Compute the probability that at least one of the three chipslasts at least 290 hours.
My attempt :
Using linear combination of normally distributedvariables
Since independent
the sum X1 + X2 + X3
has mean μ = 900
and std dev σ = √300
using the standard normal distribution
Z= (X-μ)/σ
student submitted image, transcription available below
student submitted image, transcription available below
There is no value in the normal distribution this large.
Thanks for any help.
We conclude that the probability of at least one of the three chips lasting at least 290 hours is 1, as there is no value in the normal distribution smaller than this threshold.
Since the lifetimes of the memory chips are independent and each chip follows a normal distribution with a mean of 300 hours and a standard deviation of 10 hours, we can consider the sum of the lifetimes, X1 + X2 + X3.
To find the probability that at least one chip lasts at least 290 hours, we can find the probability that all three chips last less than 290 hours and then subtract it from 1.
To calculate this probability, we need to standardize the value 290 hours using the mean and standard deviation of the sum of the lifetimes. The mean of the sum is 900 hours (3 chips * 300 hours), and the standard deviation is the square root of 300 hours (sqrt(3) * 10 hours).
However, in this case, the resulting z-score is significantly smaller than any value on the standard normal distribution table. This indicates that the probability cannot be determined using conventional methods.
Therefore, we conclude that the probability of at least one of the three chips lasting at least 290 hours is 1, as there is no value in the normal distribution smaller than this threshold.
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Yes or No pick come on and answer
Answer:
The answer is yes to both!
Hope that helps - we're studying the Pythagorean theorem right now! :)
Step-by-step explanation:
Answer:
please give the picture so only I can able to answer
Let f x be odd and g(x) is an even function if f(3)=2 and g(-1)=-3 find f(g(1))
the value of the given function f(g(1)) is 2 , fog is an even function
A function f is even if the equation f(x)=f(x) f (x) = f ( x) holds for every x and x in the domain of f. An even function has a graph that is geometrically symmetric with respect to the y-axis, which means that even after reflection about the y-axis, the graph does not change.
f is even (given)
∴f(−x)=f(x)
g is odd (given)
∴g(−x)=−g(x)
So,
According to question,
fog=f[g(x)]=f(y) Let [g(x)]=y
and also,
fog=f[g(−x)] ∵g(x) is odd
=f[−g(x)]
=f(−y)
=f(y)
⇒fog(x)=fog(−x)
∴fog is an even function
f(g(1)) = f(g(1)) = f(3) = 2
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ANSWER FOR BRAINLIEST AND 60 POINTS!!
Answer:
shift all the points L,M,N, and K to the right by one point then move points L,M,N, and K down two points
hope this helps :P
Three boys step on together from the same spot . Their step measure 30 cm ,27 cm, and 21 cm respectively . What is the minimum distance each should cover so that all can cover the distance in complete steps .
Each boy should cover a minimum distance of 630 cm (or 6.3 meters) so that they can all cover the distance in complete steps.
To find the minimum distance each boy should cover so that all can cover the distance in complete steps, we need to find the least common multiple (LCM) of their step measurements.
The LCM is the smallest multiple that is divisible by all the given numbers.
The step measurements are 30 cm, 27 cm, and 21 cm. To find the LCM, we can start by listing the multiples of each number until we find a common multiple.
Multiples of 30: 30, 60, 90, 120, 150, 180, 210, ...
Multiples of 27: 27, 54, 81, 108, 135, 162, 189, ...
Multiples of 21: 21, 42, 63, 84, 105, 126, 147, ...
By examining the multiples, we find that the LCM of 30, 27, and 21 is 630. Therefore, each boy should cover a minimum distance of 630 cm (or 6.3 meters) so that they can all cover the distance in complete steps.
By doing so, the first boy would take 630 cm / 30 cm = 21 steps, the second boy would take 630 cm / 27 cm ≈ 23.33 steps (which can be rounded down to 23 steps), and the third boy would take 630 cm / 21 cm = 30 steps.
Hence, by covering a distance of 630 cm, each boy can take complete steps and reach the destination together.
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whats the median, range, mode, IQR, minimum and maximum for 7, 8, 9, 9, 11, 11, 12, 15, 19
The mean, median, mode and IQR of the data are 11.2, 11, (9, 11) and 5 respectively.
What is measures of central tendenciesA measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data. As such, measures of central tendency are sometimes called measures of central location. They are also classed as summary statistics. The mean (often called the average) is most likely the measure of central tendency that you are most familiar with, but there are others, such as the median and the mode.
1. The mean of the data;
mean = 7 + 8 + 9 + 9 + 11 + 11 + 12 + 15 + 19 / 9 = 42/10 = 11.2
2. The median of the data = 11
3. The mode of the data is = 9, 11
4. The range of the data = 12
5. The minimum of the data = 7
6. The maximum of the data - 19
7. The IQR = 5
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- Use the remainder thrm to determine if (x-2) is a
factor of f(x) = (3x4-3x³-9x² + 5x - 2) what is the remainder?
(x-2) is not a factor of f(\(x\)) = \(3x^{4}-3x^{3}-9x^{2} +5x-2\).
What is a remainder theorem?Remainder Theorem is an approach of Euclidean division of polynomials. According to this theorem, if we divide a polynomial P(x) by a factor ( x – a) that isn't essentially an element of the polynomial, you will find a smaller polynomial along with a remainder.
The Remainder Theorem: If (x-a) is a factor of the f(x) then f(a) = 0
Here,
f(\(x\)) = \(3x^{4}-3x^{3}-9x^{2} +5x-2\)
substitute a = 2
\(f(2)=3(2^{4}) -3(2) ^{3}-9(2)^{2}+5(2)-2\)
= 48-24-36+10-2
= 32-36
f(2) = -4
f(2) \(\neq 0\)
Hence, (x-2) is not a factor of f(\(x\)) = \(3x^{4}-3x^{3}-9x^{2} +5x-2\).
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Find the measure of b
Answer:
b = 76°
Step-by-step explanation:
According to the inscribed angles proposition, the measure of an inscribed angle in a semicircle is said to be 90°.
Therefore, in the figure given, m<a = 90°
b = 180° - (90° + 14°) => sum of angles in a triangle.
b = 180° - 104°
b = 76°
Two students in Ms. Romean's class are working on
finding the mean for the following set of numbers: 2,
12, 16, 4, 18, 24, 32. Susan states that the answer is
15.4 when rounded to the nearest tenth. She added all
of the numbers and divided by 7. Sam disagrees and
thinks the answer is 54. She added all of the numbers
and divided by 2. Which student is correct? How do
you know? Explain your thinking!
Answer:
susan is correct
Step-by-step explanation:
2+12+4+18+24+32=108
108 divided by 7=54
my reasoning is that the formula is add all and divide by how many numbers you added
Classify the states of the following Markov chain and select all correct statements. [1 0 0 0 0 0 0 ]
[7/8 1/8 0 0 0 ]
[0001/3 1/2 1/6]
[0 0 1/3 2/3 0]
a)State 1 is absorbing b) States 4 and 5 are periodic c) State 1 is transient d) State 1 is recurrent e) States 3, 4 and 5 are recurrent f) Only state 3 is recurrent
In the given Markov chain, State 1 is absorbing, State 4 is periodic, State 1 is recurrent, and States 3, 4, and 5 are recurrent.
A Markov chain is a stochastic model that represents a sequence of states where the probability of transitioning from one state to another depends only on the current state. Let's analyze the given Markov chain to determine the properties of each state.
State 1: This state has a probability of 1 in the first row, indicating that it is an absorbing state. An absorbing state is one from which there is no possibility of leaving once it is reached. Therefore, statement a) is correct, and State 1 is absorbing.
State 2: There are no transitions from State 2 to any other state, which means it is an absorbing state as well. However, since it is not explicitly mentioned in the question, we cannot determine its status based on the given information.
State 3: This state has non-zero probabilities to transition to other states, indicating that it is not absorbing. Furthermore, it has a loop back to itself with a probability of 1/6, making it recurrent. Hence, statements c) and e) are incorrect, while statement f) is correct. State 3 is recurrent.
State 4: State 4 has a transition probability of 1/3 to State 3, which means there is a possibility of leaving this state. However, there are no outgoing transitions from State 4, making it an absorbing state. Moreover, since there is a loop back to itself with a probability of 2/3, it is also recurrent. Therefore, statement b) is correct, and State 4 is periodic and recurrent.
State 5: Similar to State 4, State 5 has a transition probability of 2/3 to State 3 and no outgoing transitions. Hence, State 5 is also an absorbing and recurrent state. Consequently, statement e) is correct.
To summarize, State 1 is absorbing and recurrent, State 4 is periodic and recurrent, and States 3 and 5 are recurrent.
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What is the area of the parallelogram shown below?
Answer:
135 units square
Step-by-step explanation:
The area of a parallelogram is calculated by multplying height and base
The height of the given shape is 15 units and the base is 9 units
15 × 9 = 135 units square.
what is -5x - 10 > -85
Answer:
x>15
Step-by-step explanation:
-5x-10>-85
-5x>-75
x>15
Write an assembly program that calculates the value of the following given polynomial, assuming signed integers x and y are stored in register r2 and r3, respectively. y = 2x4 + 3x² - 5x - 11.
The following is an assembly program that calculates the value of the given polynomial, assuming signed integers x and y are stored in register r2 and r3, respectively.
\(```.LIST.ALIGN 4 .GLOBAL _start_start: PUSH {R4, R5, LR}\)
\(MOV R4, R2 // R4 < - x MOV R5, #2 // R5 < - 2\)\(MUL R4, R4, R4 // R4 < - x^2 MUL R4, R4, R5 // R4 < - 2x^2 MOV R5, #3 // R5 < - 3\)
\(ADD R4, R4, R5, LSL #16 // R4 < - 2x^2 + 3x^2 MOV R5, #5 // R5 < - 5 MUL R5, R5, R2 // R5 < - 5x\)
\(SUB R4, R4, R5, LSL #16 // R4 < - 2x^2 + 3x^2 - 5x MOV R5, #11 // R5 < - 11 SUB R4, R4, R5, LSL #16 // R4 < - 2x^2 + 3x^2 - 5x - 11\)
\(MOV R3, R4 // R3 < - y POP {R4, R5, PC}.END```\)
Explanation: The polynomial is given as
\(`y = 2x^4 + 3x^2 - 5x - 11`.\)
To calculate this polynomial in assembly language, we need to perform the following steps:
Load the value of `x` into a register. We assume that `x` is stored in register `r2`.
Calculate \(`2x^2`\) and add \(`3x^2`\) to it. We first square the value of `x` by multiplying it with itself and then multiply it with `2`. We then add \(`3x^2`\) to this result. We store this result in register `r4`.
Calculate `5x` and subtract it from the result of step 2. We first multiply the value of `x` with `5` and then subtract it from the result of step 2. We store this result in register `r4`.
Subtract `11` from the result of step 3. We subtract `11` from the result of step 3 and store this result in register `r4`.
Load the value of `y` into a register. We assume that `y` is stored in register `r3`.
Return from the subroutine. We pop the registers from the stack and return from the subroutine.
The assembly program that is used to calculate the value of a given polynomial assuming signed integers x and y are stored in registers r2 and r3, respectively. The polynomial given is\(y = 2x4 + 3x² - 5x - 11\). In this assembly program, we load the value of x into a register, calculate 2x^2, add 3x^2 to it, subtract 5x from the result, and subtract 11 from the final result. The value of y is then stored in a register, and we return from the subroutine.
This assembly program is designed for 32-bit ARM architecture, and it can be run on any ARM processor. The program is written in ARM assembly language, which is a low-level programming language used to write programs that run on ARM processors. It is a complex language that requires a deep understanding of the processor architecture and instruction set.
In conclusion, the assembly program presented here can be used to calculate the value of a given polynomial using signed integers x and y stored in registers r2 and r3, respectively. This program can be adapted to calculate other polynomials or perform other arithmetic operations on ARM processors. It is a powerful tool for low-level programming and optimization, but it requires a significant amount of expertise to write and debug.
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1. What are the 3 conditions for a function to be continuous at xa? 2. the below. Discuss the continuity of function defined by graph 3. Does the functionf(x) = { ***
The three conditions for a function to be continuous at a point x=a are:
a) The function is defined at x=a.
b) The limit of the function as x approaches a exists.
c) The limit of the function as x approaches a is equal to the value of the function at x=a.
The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.
The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.
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Help needed ASAP
I will give 100 points and Brainly
Answer:
D) (8,-22)
Step-by-step explanation:
I used my graphing calculator.
Answer:
D
Step-by-step explanation:
A ship sailed out of Baltimore on its way to Bermuda, which is 820 miles away after 425 miles of smooth sailing, the captain decided to veer 35 degrees to the left to avoid a storm. After sailing on that bearing for 167 miles, the captain turned the ship back on a direct line to Bermuda. How far must the ship travel to reach Bermuda?
What are the three types of solutions to a system of linear equations in two variables?
A system of linear equations in two variables can have a unique solution, infinitely many solutions, or no solution.
There are three types of solutions to a system of linear equations in two variables:
Consistent and independent: A system of linear equations is said to be consistent and independent when it has a unique solution. It means that there is only one point of intersection between the two lines represented by the two equations.Consistent and dependent: A system of linear equations is said to be consistent and dependent when it has infinitely many solutions. It means that the two lines are the same and they coincide with each other.Inconsistent: A system of linear equations is said to be inconsistent when there is no solution. It means that the two lines are parallel and do not intersect.To learn more about linear equations at
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Solve this equation for
ab – ac = 1 for b
Answer:
a= 1/b-c
Step-by-step explanation:
The locations of student desks are mapped using a coordinate plane where the origin represents the center of the classroom. Maria's desk is located at (1 −1), and Monique's desk is located at (−4, 5). If each unit represents 1 foot, what is the distance from Maria's desk to Monique's desk? square root of 7 feet square root of 14 feet square root of 85 feet square root of 61 feet
The distance from Maria's desk to Monique's desk is √61 feet.
According to the question,
We have the following information:
Maria's desk is located at (1 −1), and Monique's desk is located at (−4, 5). And each unit represents 1 foot.
Now, we know that the following formula is used to find distance between two points:
Distance = \(\sqrt{(y2-y1)^{2} +(x2-x1)^{2} }\)
In this case, we have x1 = 1, y1 = -1, x2 = -4 and y2 = 5.
D = \(\sqrt{(5+1)^{2} +(-4-1)^{2} }\)
(We have converted -1 of y1 directly to 1 because the multiplication of two negative integers give positive results.)
D = \(\sqrt{(6)^{2} +(5)^{2} }\)
D = \(\sqrt{36+25}\)
D = \(\sqrt{61}\) feet
Hence, the correct option is D (the last one).
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Answer:
The solution to this question is (D) - Square root of (61) feet
Step-by-step explanation:
What is the sales tax on a $17,500 truck if the tax rate is 6%?
Answer:
$1050
Step-by-step explanation:
The sales tax on a $17,500 truck when the tax rate is 6% is $1050.
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