Answer:
2c+2
The number that will go in the green box is 2.
Step-by-step explanation:
3c-1-c+3
Combine the like terms.
3c-1-c+3=2c+2
Hope this helps!
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There are 4 quarters and 1 dollar the total number is a function of the number of quarters does this situation represents a linear or nonlinear function
The function of the number of quarters is a linear function.
Given that,
There are 4 quarters and 1 dollar the total number is a function of the number of quarters, to justify this situation represents a linear or nonlinear function.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
In a $1 there are 4 quarters,
And in 1 quarter there are 1/4 dollar,
Implies that the function is linear see,
Let the number of quarters is y and the number of dollars be x,
y = 1/4 x
Thus, the function of the number of quarters is a linear function.
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help me with proving lines parallel please
Answer:
True. A , B are parallel lines.
Step-by-step explanation:
3 and 6 are co interior angles. If co interior angles are congruent, then the line are parallel
what is the answer to this particualar equation...16÷10/11.
Answer:
17.6
Step-by-step explanation:
resolve into factors : a^3 + 35b^3 + (a -b)^3
Step-by-step explanation:
a^3+35b^3+a^3-b^3
2a^3+34b^3
Answer:
2a^3 + 34b^3 - 3a^2b + 3ab^2
By how much could the smallest sample observation, currently 8.5, be increased without affecting the value of the sample median? (enter your answer to one decimal place.)
The smallest sample observation can be increased by any value up to 0.1 without affecting the value of the sample median.
To find the maximum amount by which the smallest sample observation can be increased without affecting the sample median, we need to consider the definition of the median.
The median is the middle value in a sorted dataset. If the dataset has an odd number of observations, the median is the middle value. If the dataset has an even number of observations, the median is the average of the two middle values.
Since the current smallest sample observation is 8.5, increasing it by any value up to 0.1 would still keep it smaller than any other value in the dataset. This means the position of the smallest observation would not change in the sorted dataset, and therefore, it would not affect the value of the sample median.
The smallest sample observation can be increased by any value up to 0.1 without affecting the value of the sample median.
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The graph of y=|X| is transformed as shown in the graph below. Which equation represents the transformed function?
A. y |x-3|+2
B. y=|x+3|-2
C. y=|x-2|+3
D. y=|x+2|-3
Thanks been trying for ages
Answer:
x₁ = 3,29296875
x₂ = 3,276659786
x₃ = 3,279420685
Step-by-step explanation:
This is a recurrent relationship between xₙ₊₁ and xₙ
To get x₁, write the formula with n=0:
\(x_1 = 3+ \frac{3}{x_0^2}\)
Then fill in what you know, x₀=3.2. This gives you x₁.
Repeat for n=1,... and so forth.
Excel can do this effectively, see picture.
how do you write a perpendicular segment
Answer:
How do you write a perpendicular equation?
Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.
Step-by-step explanation:
from google can I have brainliest
When a process is said to be at six sigma level, what does it
mean? (7 points)"
Answer:
Step-by-step explanation: It means a high level of quality, with 3.4 defects per million opportunities. It is this sigma level that leads to the term Six Sigma, which is a philosophy of delivering near perfect products or services by eliminating variabilities that lead to defects.
Determine if the expression 464 +c+ cº is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.
Answer:
I wish I could help but I'm not sure
A sampling technique used when groupsare defined by their geographical locationis:A.clustersampling.B.convenience sampling.C.judgment sampling.
A sampling technique used when groups are defined by their geographical location is cluster sampling. Hence, option A is correct.
Sampling technique refers to the method of selecting or choosing members from the given set of population.
Under cluster sampling method, population is divided or splitted into groups. The key objective is to minimize the cost and time taken.
For example: If a NGO wants to study the rural communities, the state is divided into small groups also known as clusters. Instead of visiting and studying all the locations a random cluster will be choosen and studied. Minimizing time and cost involved. However, it contains more sampling error as it might not represent the entire population accurately.
Therefore, Option A is the correct answer.
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A useful graphical method of constructing the sample space for an experiment is:
a. a tree diagram
b. a pie chart
c. a histogram
d. an ogive
A useful graphical method of constructing the sample space for an experiment is a tree diagram that is option A.
A tree diagram is a useful graphical method of constructing the sample space for an experiment. It is a type of diagram used to represent the possible outcomes of an event. The diagram is structured in a way that each branch of the tree represents an event that can occur, and each level of the tree represents a stage in the experiment. By using a tree diagram, it is easier to visualize and understand all the possible outcomes of an experiment and the probabilities associated with each outcome. Therefore, option A is the correct answer.
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Find a formula an for the nth term of the geometric sequence whose first term is a1=3 such that anan+1=1/10 for n≥1 10. Find an explicit formula for the nth term of the add one to each term.) 11. Find an explicit formula for the nth term of the sequence satisfying a1=0 and an=2an−1+1 for n≥2
To find an explicit formula for the nth term of the sequence satisfying\(\(a_1 = 0\) and \(a_n = 2a_{n-1} + 1\) for \(n \geq 2\),\) we can use recursive formula to generate the terms of the sequence.
Given:
\(\(a_1 = 0\)\\\(a_n = 2a_{n-1} + 1\) for \(n \geq 2\)\)
Using the recursive formula, we can generate the terms of the sequence as follows:
\(\(a_2 = 2a_1 + 1 = 2(0) + 1 = 1\)\\\(a_3 = 2a_2 + 1 = 2(1) + 1 = 3\)\)
\(\(a_4 = 2a_3 + 1 = 2(3) + 1 = 7\)\\\(a_5 = 2a_4 + 1 = 2(7) + 1 = 15\)\)
From the pattern, we observe that the nth term of the sequence is given by \(\(2^{n-2} - 1\).\)
Therefore, the explicit formula for the nth term of the sequence satisfying \(\(a_1 = 0\) and \(a_n = 2a_{n-1} + 1\) for \(n \geq 2\) is: \\\\\a_n = 2^{n-2} - 1.\]\)
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Jim bought a meal in a town that has no sales tax. He tlps 15%. Select all the meals Jim could buy for less than or equal to $30 total.
Jim bought a meal in a town that has no sales tax. He tlps 15%. All the meals Jim could buy for less than or equal to $30 total are $20.54 meal and $26.08 meal.
The number of customers in a grocery store is modeled by the function y -X? + 10x + 50, where y is
the number of customers in the store and x is the number of hours after 7:00 A.M.
a. At what time is the maximum number of customers in the store?
- How many customers are in the store at the time in part (a)?
Using the vertex of the quadratic function, it is found that:
a) The maximum number of customers in the store is at 12 P.M.
b) 75 customers are in the store at this time.
The number of customers in x hours after 7 AM is given by:
\(y = -x^2 + 10x + 50\)
Which is a quadratic equation with coefficients \(a = -1, b = 10, c = 50\)
Item a:
The maximum value, considering that a < 0, happens at:
\(x_v = -\frac{b}{2a}\)
Hence:
\(x_v = -\frac{10}{2(-1)} = 5\)
5 hours after 7 A.M, hence, the maximum number of customers in the store is at 12 P.M.
Item b:
The value is y(5), hence:
\(y(5) = -(5)^2 + 10(5) + 50 = 75\)
75 customers are in the store at this time.
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There is a pile of LEGOS in Gracey's room. Three out of every five LEGO pieces are red How many pieces are red if there are 60 pieces of LEGOS in Gracey's room?
Answer: 36 are red
Step-by-step explanation:
3 out of every 5
5*12 = 60
so do 3*12 which = 36
36/60
hurry what it 86,400 sec.=_______ days
Answer:
1 day
Step-by-step explanation:
(86,400 sec)*(1 minute/60 sec)*(1 hour/60 minutes)(1 day/24 hours) = 1 day
(2^-4)^-3 what is the answer to this math problem i really need help
Step-by-step explanation:
\( = { ({2}^{ - 4}) }^{ - 3} \)
\( = {2}^{ - 4 \times ( - 3)} \)
\( = {2}^{12} \)
\( { ({2}^{ - 4}) }^{ - 3} = {2}^{12} \)
If x and y are any random variables with e(x) = 5, e(y) = 6, e(xy) = 21, v(x) = 9 and v(y) = 10, then the relationship between x and y is a:______.
The relationship between x and y is a strong negative relationship.
For this question, we need to determine the correlation coefficient,
Thus,
The correlation coefficient
= (21 - 5*6)/ \(\sqrt{9 * 10}\)
= -0.948
The above answer is too close to -1. Therefore correlation coefficient is a strong negative.
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Given f(x,y) = x^3 -2xy + xy^3 + 3y^2. Find fxy.
Given f(x,y) = x³ -2xy + xy³ + 3y². We are to find fxy.The function f(x,y) can be represented as, f(x,y) = x³ - 2xy + xy³ + 3y²To find fxy,
we must first differentiate f(x,y) with respect to x and then y. We will obtain fxy by differentiating this result with respect to y. Below is the step-by-step solution:
Step 1: Find fx. f(x,y) = x³ - 2xy + xy³ + 3y² ∂/∂x f(x,y) = 3x² - 2y + y³ ………..(1)
Step 2: Find fy. f(x,y) = x³ - 2xy + xy³ + 3y² ∂/∂y f(x,y) = -2x + 3xy² + 6y………..(2)
Step 3: Find fxy. Differentiating (2) with respect to x, we get ∂/∂x (∂/∂y f(x,y)) = ∂/∂x (-2x + 3xy² + 6y) ∂²f/∂xdy = 3y²Differentiating (1) with respect to y, we get ∂/∂y (∂/∂x f(x,y)) = ∂/∂y (3x² - 2y + y³) ∂²f/∂ydx = 3y²Therefore, fxy = ∂²f/∂xdy = ∂²f/∂ydx = 3y²
In conclusion, we obtained f(x,y) = x³ - 2xy + xy³ + 3y², fx = 3x² - 2y + y³, fy = -2x + 3xy² + 6y, and fxy = 3y². Therefore, the answer is 3y².
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Angad was thinking of a number. Angad doubles it and gets an answer of 46.8.
What was the original number?
Type the equation of the linear function that passes through the two given points:
(2;9) (4,17)
(3; -17) (-3;13 )
plz help
Answer:
Slope-intercept form of the line:
y = mx + bPoint-slope form of the line:
y - y1 = m(x - x1)------------------------------------
Points:
(2;9) (4,17)The slope:
m = (17 - 9)/(4 - 2) = 4The line:
y - 9 = 4(x - 2)y = 4x - 8 + 9y = 4x + 1----------------------------------
Points:
(3; -17) (-3;13 )The slope:
m = (13 - (-17)) / (-3 - 3) = 4/ -6 = -2/3The line:
y - (-17) = -2/3(x - 3)y = -2/3x + 2 - 17y = -2/3x - 15a certain statistic dˆ is being used to estimate a population parameter d. the expected value of dˆ is not equal to d. what property does dˆ exhibit?a. The sampling distribution of d hat is normal.b. The sampling distribution of d hat is binomial.c. The sampling distribution of d hat is uniform.d. d hat is unbiased.e. d hat is biased.
The right answer is: E, according to the Central Limit Theorem for proportionality. The statistic is inaccurate.
In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.
The Central Limit Theorem establishes that for a proportion p in a sample of size n:
The expected value is μ=р
The standard error is s=\(\sqrt{\frac{p(1-p)}{n} }\)
In this problem, the expected value is different of the expected of μ=р , hence, the statistic is biased, and the correct option is E.
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Imagine the nominal interest rate i=0.04 and the expected
inflation is + 1 = 0.03.
Calculate the real interest rate using the approximation
formula.
The real interest rate, using the approximation formula, is 0.01 or 1%. This means that after considering the expected inflation rate, the purchasing power of the money grows at a rate of 1%.
The real interest rate can be calculated using the approximation formula: real interest rate = nominal interest rate - expected inflation rate.
We have:
Nominal interest rate (i) = 0.04
Expected inflation rate (+1) = 0.03
Using the formula, we can substitute the given values:
Real interest rate = 0.04 - 0.03
Calculating the difference:
Real interest rate = 0.01
Therefore, the real interest rate, using the approximation formula, is 0.01 or 1%.
The nominal interest rate represents the rate at which money grows in a bank account or investment without considering inflation. On the other hand, the real interest rate takes into account the effects of inflation, allowing us to understand the true purchasing power of the money.
To calculate the real interest rate, we subtract the expected inflation rate from the nominal interest rate. In this case, the nominal interest rate is 0.04 (4%), and the expected inflation rate is 0.03 (3%).
Substituting the values into the formula, we get:
Real interest rate = 0.04 - 0.03
Real interest rate = 0.01 or 1%
Therefore, the real interest rate, in this scenario, is 0.01 or 1%. This means that after accounting for inflation, the purchasing power of the money grows at a rate of 1%.
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please help me I dont want to do it and I am on a timed thing
Answer:
-1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
-5 -15 = -20
-20+4 = -16
-16+15 = -1
Therefore, -5-15+4+15 = -1
What is the domain of the graph shown below?
Skylar and Riley shared a cash prize in the ratio 3:5. If Riley received $30, how much money did Skylar receive? *
Answer:
50 dollars
Step-by-step explanation:
Answer:
Step-by-step explanation:
s/r=3/5
s/30=3/5
s=30(3)/5
s=90/5
s=$18
What are the three types of derivatives?
Algebraic, exponential and trigonometric are three different types of derivatives.
Define differentiation.A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of change based on one of its variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time.
Name derivative rule.Power rule, product, quotient, chain, are the rules for derivatives.
Algebraic, exponential and trigonometric are three different types of derivatives.
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an island is 1 mi due north of its closest point along a straight shoreline. a visitor is staying at a cabin on the shore that is 15 mi west of that point. the visitor is planning to go from the cabin to the island. suppose the visitor runs at a rate of 6 mph and swims at a rate of 2.5 mph. how far should the visitor run before swimming to minimize the time it takes to reach the island? round your answer to three decimal places and omit units from the answer box.
if the visitor runs at a rate of 6 mph and swims at a rate of 2.5 mph., then the visitor would run 14 .45 miles before swimming to minimize the time it takes to reach the island .
we are given that an island is 1 mi due north of its closest point along a straight shoreline., where the visitor is staying at a cabin on the shore that is 15 mi west of that point, in some point the visitor runs at a rate of 6 mph and swims at a rate of 2.5 mph. Considering x be the distance the visitor runs. so the total time will be :
Time (T)= x/6 + √((15-x)²+1²)/2.5
Differntiating both sides respect to x , we get
dT/dx = 1/6 -(15-x)/√(15-x)²+1)/2.5
=>1/6 = (15-x)/√(15-x)²+1)/2.5
=>6(15-x) = 2.5√(15-x)²+1)
Now considering 15 - x = y, we get
=>6y = 2.5√(y²+1)
=>36y² = 6.25y² + 6.25
=>29.75y² = 6.25
y = √(25/119), therefore ,x = 15 - √(25/119) = 14 .45
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let x1, x2 ..., x100 all be independent bernoulli variables, which take a value of 1 with probability 0.5
Using the normal approximation to the binomial, there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.
What is the missing information?This problem is incomplete, but researching it on a search engine, it asks the probability that the sum of these Bernoulli variables is of less than 60.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with \(\mu = np, \sigma = \sqrt{np(1-p)}\).The binomial distribution is a series of n Bernoulli trials with p probability of a success on each trial, hence the parameters for the binomial distribution are given as follows:
n = 100, p = 0.5.
The mean and the standard deviation are given by:
\(\mu = np = 100(0.5) = 50\).\(\sigma = \sqrt{np(1-p)} = \sqrt{100(0.5)(0.5)} = 5\)Using continuity correction, the probability that the sum is less than 60 is P(X < 59.5), which is the p-value of Z when X = 59.5, hence:
\(Z = \frac{X - \mu}{\sigma}\)
Z = (59.5 - 50)/5
Z = 1.9
Z = 1.9 has a p-value of 0.9713.
Hence there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.
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