Updated Probabilities are: P(L1/W) = 0.341 & P(L1/w) = 0.949
Let W be the event that the robot's camera observes a window
It is given that the Probability of observing a window there is no window at its location is given 0.2
P(W/ L1) = 0.2 ( L1 which does not have a window)
Also, probability of observing a window is 0.9
P(W/ L2) = 0.9 ( L2 has window)
Now we have to find updated probabilities for the robot being in L1 i.e:- P(L1/W) & P(L1/w)
w means the camera does not observe a window.
By Bayes Rule,
P(L1/W) = P(L1)P(W/L1)/P(L1)P(W/L1)+P(L2)P(W/L2)
= (0.7x 0.2)/ (0.7x0.2) + (0.3x0.9)
= (0.14)/ 0.14+0.27
≈0.341 (rounded to 3. decimal places)
Thus the probability of being in L1 if the camera observes a window is nearly 0.341.
P(L1/w) = P(L1)P(w/L1)/P(L1)P(w/L1)+P(L2)P(w/L2)
As P(W/L1) = 0.2;
P(w/L1) = 1 - P(w/L1) = 1-0.2 = 0.8
Also P(W/L2) = 0.1;
P(w/L2) = 1 - P(w/L2) = 1-0.9 = 0.1
P(L1/w) = (0.7 X 0.8)/ (0.7X0.8) + (0.3X0.1)
=(0.56)/ (0.56+0.03) = (0.56/ 0.59)
≈ 0.949 (rounded to 3 decimal places).
Thus the probability of being in L1 if observe not the window is nearly 0.949.
Updated Probabilities are: P(L1/W) = 0.341 & P(L1/w) = 0.949
To learn more about Probability click here:
brainly.com/question/11234923
#SPJ4
For the figure below, give the following
Answer:
Step-by-step explanation:
B
A circle passes through (-2, 6) , (2, 8) , and (5, -1) Using the general form of a circle and the points above, fill in missing numbers to create the system of equations. (-2, 6) creates D + E + 1F = (2, 8) creates D + E + 1F = (5, -1) creates D + E + 1F = Solve the system of equations that you created, and write the equation for the circle by filling in the values for D, E, and F.
The equation of the circle passing through points (-2, 6) , (2, 8) , and (5, -1) is given as follows:
(x - 2)² + (y - 3)² = 25.
Equation of a circleThe equation of a circle with center (x*, y*) and radius r is given according to the following rule:
(x - x*)² + (y - y*)² = r².
The circle passes through point (-2,6), hence the first equation of the system is given as follows:
(-2 - x*) + (6 - y*)² = r².
r² = x*² + 4x* + 4 + y*² - 12y* + 36.
The circle also passes through point (2,8), hence the second equation of the system is given as follows:
(2 - x*) + (8 - y*)² = r².
r² = x*² - 4x* + 4 + y*² - 16y* + 64.
The final point is point (5,-1), meaning that the third equation is:
(5 - x*) + (-1 - y*)² = r².
r² = x*² - 10x* + 25 + y*² + 2y* + 1.
The system of equations to find the coordinates of the center and the radius is given as follows:
x*² + y*² + 4x* - 12y* + 40 - r² = 0.x*² + y*² - 4x* - 16y* + 68 - r² = 0.x*² + y*² - 10x* + 2y* + 26 - r² = 0.The solution to the system is given as follows:
x* = 2, y* = 3, r² = 25.
Hence the equation of the circle is:
(x - 2)² + (y - 3)² = 25.
More can be learned about the equation of a circle at https://brainly.com/question/24307696
#SPJ1
Mrs. Frank asks four of her students to measure four different objects. Here are the results.
Which student had the greatest percent error?
The student that has the greatest percent error is Ebony.
How to calculate the percentage error?The percentage error will be calculated as:
= Change in value / Initial values × 100
From the table, we can see that Ebony had the greater difference in values. This will be illustrated as:
= (Measured length - Actual length) / Actual length × 100
= (2.1 - 1.6)/1.6 × 100
= 0.5 / 1.6 × 100
= 31.25%
Ebony had the higher percentage error.
Learn more about percentages on
brainly.com/question/24877689
#SPJ1
You deposit $400 in an account that earns 3. 5% interest compounded annually. What is the account balance after 2 years?
Account balance after 2 years $441.
Based on the given condition, here the details:
P = $400
r = 5 % = 0.05
n = 1
t = 2
Formulate and substitute all above:
F = P · (1 + [tex]\frac{r}{n}[/tex][tex])^{nt}[/tex]
F = 400. 1 + [tex]\frac{0.05}{1}[/tex])²
F = $441
From this as general, account balance is:
A checkbook, a savings account, or an investment account, for example, has a balance that shows how much money is available in the account. This is also called the current account value. The current value of account balances is shown by financial institutions on both paper statements and online tools.
Learn more about account balance here:
https://brainly.com/question/28699225
#SPJ4
Please help ASAP starting to fall behind! This equation really confuses me and if someone could help that would be amazing!
Given the function:
f(x) = x² - 4x - 2
Find the following values.
a) f(2)
f(2)=
b) f(4)
f(4)=
c) f(-3)
f(-3)=
the number of lightning strikes on a square kilometer of open ground in a year has mean 6 and standard deviation 2.4. (these values are typical of much of the united states.) the national lightning detection network uses automatic sensors to watch for lightning in a sample of 25 randomly chosen square kilometers. what are the mean and standard deviation of the mean number of strikes per square kilometer?
The mean and standard deviation are given as 6 and 0.48 respectively.
According to the question The Population Mean number of strikes per square kilometer (μ) = 6 and the Population standard deviation of strikes per square kilometer (σ) = 2.4. The Sample size is equal to (n) = 16. We know that the sample mean number of strikes per square kilometer (m) = mean Number of strikes per square kilometer in the population. From this observation it is clear that the mean will be equal to
μ = m = 6
So, the Sample mean = 5
Now, the Standard deviation = standard error = σ/√n. Now we get
Standard Error = 2.4 / √25
Standard Error = 2.4 / 5
Standard Error = 0.48
Learn more about Standard Deviation at:
brainly.com/question/18881702
#SPJ4
Use identities to find tan, csc, sec, and cot. Where necessary, rationalize denominators
We are given:
[tex]sin\text{ }\theta=\frac{3}{5},cos\text{ }\theta=\frac{4}{5}[/tex]The tangent is defined as the ratio of the sine and the cosine:
[tex]tan\text{ }\theta=\frac{sin\text{ }\theta}{cos\text{ }\theta}[/tex]Calculating:
[tex]\begin{gathered} tan\text{ }\theta=\frac{\frac{3}{5}}{\frac{4}{5}}=\frac{3}{5}\cdot\frac{5}{4} \\ \\ tan\text{ \theta}=\frac{3}{4} \end{gathered}[/tex]The cotangent is the reciprocal of the tangent:
[tex]\begin{gathered} \cot\theta=\frac{1}{\tan\theta} \\ \\ \cot\theta=\frac{1}{\frac{3}{4}}=\frac{4}{3} \end{gathered}[/tex]The secant is the reciprocal of the cosine:
[tex]\begin{gathered} \sec\theta=\frac{1}{\cos\theta}=\frac{1}{\frac{4}{5}} \\ \\ \sec\theta=\frac{5}{4} \end{gathered}[/tex]The cosecant is the reciprocal of the sine:
[tex]\begin{gathered} \csc\theta=\frac{1}{\sin\theta}=\frac{1}{\frac{3}{5}} \\ \\ \csc\theta=\frac{5}{3} \end{gathered}[/tex]Which expression is equivalent to 6(−3.1y − 10.8)?
−18.6y − 64.8
−18.6y − 10.8
2.9y − 4.8
2.9y − 10.8
Answer:
The answer for the question is = -18.6y - 64.8
how many elements are in the union of three pairwise disjoint sets if the sets contain 10, 15, and 25 elements? how many ways are there to select a student whose major is in one of the departments of the school of science if there are seven departments in this school with 31, 88, 19, 11, 41, 22, and 17 students in each? (assume that no student can have more than one major.) how many ways are there to select a person who lives on a street with five houses if the number of people in these houses are 5, 3, 2, 7, and 6?
a) 50 elements are in the union of three pairwise disjoint sets if the sets contain 10, 15, and 25 elements.
b) 229 are there to select a student whose major is in one of the departments of the school of science if there are seven departments in this school with 31, 88, 19, 11, 41, 22, and 17 students in each.
c) 23 are there to select a person who lives on a street with five houses if the number of people in these houses are 5, 3, 2, 7, and 6.
The problem we are dealing with is related to union sets.The union of two sets is a set containing all elements that are in set A and set B or including more sets
For the first problem, the sets contain:
n(A)=10, n(B)=15, n(C)=25, n(A∩B)=0 ,n(B∩C)=0 ,n(C∩A)=0,n(A∩B∩C)=0
So, n(A∪B∪C)=n(A)+n(B)+n(C)−n(A∩B)−n(B∩C)−n(C∩A)+n(A∩B∩C)
= 10 +15+25-0-0-0-0-0
= 50
For the second problem, since no student can have more than one major.
So, (A∪B∪C∪D∪E∪F∪G)=n(A)+n(B)+n(C)+n(D)+n(E)+n(F)+n(G)
As we know : n(A)=31, n(B)=88, n(C)=19, n(D)=11, n(E)=41, n(F)=22, n(G)=17
So , (A∪B∪C∪D∪E∪F∪G) = 31+88+19+11+41+22+17= 229
For the third problem, we have
n(A)=5
n(B)=3
n(C)=2
n(D)=7
n(E)=6
So, the number of elements will be (A∪B∪C∪D∪E) = 5+3+2+7+6 =23
To know more about union sets refer to the link https://brainly.com/question/11427505?referrer=searchResults.
#SPJ4
At a high school, students can choose between three art electives, four history electives, and five computer electives.
Fach student can choose two electives.
Which expression represents the probability that a student chooses an art elective and a history elective?
O
7C2
1202
С
.?
122
O (G) 4401)
12Cz
12P2
Mark this and return
Save and Exit
Next
Submit
Expression represents the probability that a student chooses an art elective and a history elective is equal to (³C₁⁴C₁) / ¹²C₂.
As given in the question,
Number of art electives students = 3
Number of history electives students = 4
Number of computer electives students = 5
Choosing an art electives students = ³C₁
Choosing an history electives students = ⁴C₁
Expression represents the probability that a student chooses an art elective and a history elective
= (³C₁⁴C₁) / ¹²C₂
Therefore, expression represents the probability that a student chooses an art elective and a history elective is equal to (³C₁⁴C₁) / ¹²C₂.
The complete question is:
At a high school, students can choose between three art electives, four history electives, and five computer electives. Each student can choose two electives.
Which expression represents the probability that a student chooses an art elective and a history elective?
a. ⁷C₂ / ¹²C₂
b. ⁷P₂ / ¹²P₂
c. (³C₁⁴C₁) / ¹²C₂
d. (³P₁⁴P₁) / ¹²P₂
Learn more about probability here
brainly.com/question/11234923
#SPJ1
I need help with the question below please:A painter must thin some paint for use in a sprayer. If the recommended rate is 1/9 pint of water per gallon of paint, how many total gallons will there be after thinning 36 gallons of paint?
What is the solution of -8/2y-8 = 5/y+4 - 7y+8/y^2-16?
y = -4
y = -2
y = 4
y = 6
The correct option for the fraction with polynomials is y=6.
Fractions with polynomials.Expressions of more than two algebraic terms that contain different powers of the same variable is a polynomial.
The polynomial fraction is an expression of polynomial divided by another polynomial.
We can solve the fraction to get the value of y as follows;
[-8/(2y-8)]= [5/(y+4)]-[(7y+8)/(y²-16)]
[-8/(2y-8)]= [5/(y+4)]-[(7y+8)/(y+4)(y-4)]
[-8/(2y-8)]= [5(y+4)-(7y+8)]/(y+4)(y-4)] (L.C.M) of the fraction
[-8/(2y-8)]= (5y-20-7y-8)/(y+4)(y-4)
[-8/(2y-8)]= (-2y-28)/(y+4)(y-4)
[-8/2(y-4)]= (-2y-28)/(y+4)(y-4)
[-8/2(y-4)]= [-2(y-14)]/(y+4)(y-4)
[-4/(y-4)]= [-2(y-14)]/(y+4)(y-4)
Multiply both sides of the equation by -(y-4)
4= 2(y-14)/(y+4)
Cross multiply
4(y+4)=2(y+14)
Divide through by 2
2(y+4)=y+14
2y+8=y+14
collect like terms
2y-y=14-8
y=6.
Hence, we can state that the value of y for the polynomial with fraction is 6.
Know more about polynomials here:https://brainly.com/question/4142886
#SPJ1
y=3/5x+3 graph the line
We want to graph the line:
[tex]y=\frac{3}{5}x+3[/tex]For doing so, we will choose two different x-values, and we will find its correspondent y-values. This gives us two different points, and when we trace the line that passes through those points, we will have the line we wanted.
In this exercise, we will choose x=0, and x=5.
For x = 0
[tex]y=\frac{3}{5}(0)+3=0+3=3[/tex]This gives us the point (0,3).
For x = 5
[tex]y=\frac{3}{5}(5)+3=\frac{15}{5}+3=3+3=6[/tex]This gives us the second point: (5,6).
Now, graphing the points on a cartesian plane, and drawing the line between them, we obtain:
The time in seconds that it takes an object to fall d feet can be found
using the expression ((sqrt(d))/(4)) , Suppose aiden drops a tennis ball from a height of 50 feet at the same time masons drops a similar tennis ball from a height of 20 feet . How much longer will it take Aiden's tennis ball to reach the ground than Mason's tennis ball? Round to the nearest hundredth .
Aiden's tennis ball will reach the ground 0.65 seconds than Mason's tennis ball
How to determine the time difference in reaching the groundThe function of time with respect to distance is given as
(sqrt(d)/(4))
Rewrite the function properly
This is represented as follows
√d/4
It can also be written as
t = 1/4√d
From the question, we have
Aiden = 50 meters
Mason = 20 meters
The time difference is then calculated as
T = t₁ - t₂
So, we have
T = 1/4√d₁ - 1/4√d₂
The equation becomes
T = 1/4√50 - 1/4√20
This gives
T = 1/4(√50 - √20)
Evaluate
T = 0.65
Hence, the time difference is 0.65 seconds
Read more about distance at
https://brainly.com/question/16762639
#SPJ1
The latest crime statistics in the united states suggest that eighteen-to-twenty-four-year-olds make up about – percent of the population but account for – percent of criminal arrests, while people sixty-five and older make up more than – percent of the population but account for less than – percent of arrests
Using concepts of statistics, we got 7% people are from age 18-24,and 15% for criminal arrests,65 and older are in 13% population and cover less than 1% crime rate.
The topic of crime in the United States is very large, technically covering any action that is punishable under a state or federal law. Any analysis of the topic requires division into further sub-categories. One common way to do this is by limiting analysis to crimes involving jail time (i.e. misdemeanors and felonies, which generally differ via the length of jail time involved), then differentiate between violent crimes or property crimes. Violent crimes are described as offenses which involve force or the threat of force, while property crime majorly includes offences involving the taking of money or property, but where there is not any force or threat of force against the victims. Property crimes are outnumbering violent crimes in the U.S. in 2020, numbering 6.45 million and 1.31 million respectively. Larceny was the actually most common property crime with 4.6 million incidents, while the aggravated assaults accounted for around two thirds of violent crimes.
Hence, percentage of people whose age is in between 18-24 is 7%,
people from age 18-24 engaged in illegal work=15%,
percentage of people whose age is 65 or more than =13%,
people involved in crime having age more than or equal to 65=1%
To know more about statistics, visit here:
https://brainly.com/question/23091366
#SPJ4
{(7, 3), (4, 8), (-6, -5), (6, 6), (-1, 9) }
Domain:
Range:
Answer:
Domain: -6,-1,4,6,7
Range: -5,3,6,8,9
Step-by-step explanation:
The domain is the first element in each ordered pair. It is the x value. The range is the second element in each ordered pair. It is the y values.
A tree initially measured 18 feet tall. Over the next 3½ years, it grew to a final height of 35½ feet. During those 3½ years, what was the average yearly growth rate of the height of the tree?
Answer:
The average yearly growth o
Explanation:
Given that the tree grew from 18 ft 35 1/2 feet in 3 1/2 years.
The growth within these years is:
35 1/2 - 18
= 35.5 - 18
= 17.5
Now, this averages:
17.5/3.5 (3.5 is the number of years)
= 5
The average is 5 ft per year
As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 62 Second number: 52
We will multiply by 26 / 31 in the first number to get second number for fraction in simplest form.
What is mean by Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Given that;
In the fraction,
The first number = 62
The second number = 52
Let the number which can be multiply by the fraction = x
Since, The given condition is,
Multiply the first number by to get the second number.
So, We can formulate;
⇒ 62 × x = 52
Solve for x, as;
⇒ 62 × x = 52
⇒ 62x = 52
Divide by 62, we get;
⇒ x = 52 / 62
Multiply and divide by 2;
⇒ x = 26 / 31
Therefore,
We will multiply by the number 26 / 31 in the first number to get second number for fraction in simplest form.
Learn more about the fraction visit:
https://brainly.com/question/21428159
#SPJ1
Find an
an equation for the perpendicular bisector of the line segment whose
endpoints are (–4,3) and (−8,—3).
Answer:
y = (-2/3)x + 4
Step-by-step explanation:
22 Olivia has $700 in her bank account at the beginning of the
summer. She wants to have at least $150 in her account at the
end of the summer. Each week she withdraws $40 for food
and entertainment.
a. Write an inequality for this situation. Let x represent
the number of weeks she withdraws money from her
account.
b. What is the maximum whole number of weeks
that Olivia can withdraw money from her account?
Explain how you know your answer is correct.
a. The amount remaining in the account after x week is 700 - 40x
b. Olivia can withdraw can withdraw money from her account money for approx. 13 weeks.
Let x represent the number of weeks. Then the amount of withdrawal in this time is 40x
So, the amount remaining in the account after x weeks is 700 - 40x
Since he needs 150$ in the account for safety net, we must have
700 – 40x ≥ 150
So,
700 - 150 ≥ 40x
550 ≥ 40x
550/40 ≥ x
x ≤ 13.75
Hence, he can withdraw money for approx. 13 weeks.
What is withdraw?Withdrawal involves removing money from a bank account, savings plan, pension or trust. In some cases, conditions must be met for funds to be withdrawn without penalty, and an early withdrawal penalty usually occurs when a condition of the investment agreement is violated. Withdraw money from account: With this account you can withdraw a maximum of $500 per day. withdraw money/money/savings With the financial crisis, people had to withdraw their savings.
To learn more about withdraw, refer;
https://brainly.com/question/19517153
#SPJ13
The cost of entering a carnival and riding rides is given by the linear equation, c(r) = 1.25r + 6.00, where c(r) is the total cost of attending the carnival and r is the number of rides. the slope of the linear equation represents the response area .
Answer: Cost per rides
Step-by-step explanation:
Which graph shows y=3⌊x⌋−4? Responses Graph of the function f open argument x close argument equals greatest integer on a coordinate plane. The horizontal x axis ranges from negative 10 to 10. The vertical f of x axis ranges from negative 10 to 10. The graph is a step function with 7 vertical line segments. Each line segment is one unit long, with a closed point on the left side and an open point on the right side. Moving left to right, each line segment is shifted to the right one unit and up one unit, compared to the line segment before it. The endpoints of the first three line segments are as follows. Segment one. Begin ordered pair negative 2 comma negative 10 end ordered pair and begin ordered pair negative 1 comma negative 10. Segment two. Begin ordered pair negative 1 comma negative 7 end ordered pair and begin ordered pair 0 comma negative 7 end ordered pair. Segment three. Begin ordered pair 0 comma negative 4 end ordered and 1 comma negative 4 end ordered pair. The pattern continues with the last line segment at an endpoint. Image with alt text: Graph of the function f open argument x close argument equals greatest integer on a coordinate plane. The horizontal x axis ranges from negative 10 to 10. The vertical f of x axis ranges from negative 10 to 10. The graph is a step function with 7 vertical line segments. Each line segment is one unit long, with a closed point on the left side and an open point on the right side. Moving left to right, each line segment is shifted to the right one unit and up one unit, compared to the line segment before it. The endpoints of the first three line segments are as follows. Segment one. Begin ordered pair negative 2 comma negative 10 end ordered pair and begin ordered pair negative 1 comma negative 10. Segment two. Begin ordered pair negative 1 comma negative 7 end ordered pair and begin ordered pair 0 comma negative 7 end ordered pair. Segment three. Begin ordered pair 0 comma negative 4 end ordered and 1 comma negative 4 end ordered pair.
The graph for the given equation is plotted below.
The given equation is y=3x-4.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
Put x=0, 1, 2, 3, 4,....in the given equation and solve for y
When x=0, y=-4
When x=1, y=-1
When x=2, y=2
When x=3, y=5
Plot the coordinates (0, -4), (1, -1), (2, 2) and (3, 5) on the graph.
Therefore, the graph for the given equation is plotted below.
To learn more about the graph visit:
brainly.com/question/14375099.
#SPJ1
Pleas help me !!!! Please!!!
The most appropriate choice for domain of a functions will be given by -
What is a domain of a function
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
The set of values for which the function is defined is called domain of the function.
Here, from the graph, the set of values of x axis for which the graph is drawn is [tex]-6\leq x \leq 6[/tex].
And values of x - axis represents the domain.
So domain of function is {x ∈ [tex]\mathbb{R}[/tex], [tex]-6 \leq x \leq 6[/tex]}
Third option is correct.
To learn more about domain of a function, refer to the link:
https://brainly.com/question/1942755
#SPJ13
x+3/5 + x-2/5
as a single fraction
Answer:
x+3/5 + x-2/5
simply add variable
x+x +3/5-2/5
2x+3/5-2/5
taking L.C.M
5*2x+3-2/5
10x+1/5
Hey , I have a quick question about a Homework in math I got confused on how to solve the listed to formula [tex] \frac{x - 3}{2} - 4 \ \textless \ \frac{x}{3} [/tex]
Solution
- The question would like us to solve the following
[tex]\frac{x-3}{2}-4<\frac{x}{3}[/tex]- The solution is outlined below:
[tex]\begin{gathered} \frac{x-3}{2}-4<\frac{x}{3} \\ \\ Collect\text{ like terms:} \\ Add\text{ 4 to both sides and Subtract }\frac{x}{3}\text{ from both sides} \\ \\ \frac{x-3}{2}-\frac{x}{3}<4 \\ \\ We\text{ need the LCM of 2 and 3. } \\ The\text{ LCM is }2\times3=6 \\ \\ Thus,\text{ multiply both sides by 6 in order to remove the denominator} \\ 2\frac{}{} \end{gathered}[/tex][tex]\begin{gathered} 6\left(\frac{x-3}{2}\right?-6\left(\frac{x}{3}\right?<4\times6 \\ \\ 3\left(x-3\right)-2x<24 \\ Expand\text{ the bracket} \\ 3x-9-2x<24 \\ x-9<24 \\ Add\text{ 9 to both sides} \\ x<33 \end{gathered}[/tex]Final Answer
The answer is x < 33
f(x)=6x^2+11 inverse
Answer:
√6(x−11)/6
Step-by-step explanation:
f^−1(x)=√6(x−11)/6
ABCD - FECG B 5 E 6 100° 5 A 60° С 4 120° G w D W = ? 1°
From the figure, draw from D parallel to AB.
Calculate angle D from triangle DWC = 180 - (90+60) = 180 - 150 = 30
Angle D = 30
Angle W = 90 + 30 = 120
Final answer W = 120
5xº35°60°solve for x
In every triangle the addition of all internal angles is always 180 degrees.
So this means we can build this equation
5x + 35 + 60 = 180
now separate x values and numerical values
5x = 180 - 60 - 35
x= (180 - 60 - 35)/ 5 = 85/5 = 17
given the following expressions1. -5/8+3/52. 1/2+ √23. (√5)×(√5)4. 3×(√49)which expression(s) will result in an irrational number.(1) only 2(2) only 3(3) 1,3,4(4) 2,3,4
1) Only 2
1) Examining the expressions we have
1. -5/8+3/5 =-1/40 Rational Expression
2. 1/2+ √2 Irrational Expression
3.(√5)×(√5)= 5 Rational Expression
4. 3×(√49) = 21 Rational Expression
2) Since √2 is an irrational number √2 = 1.4142.... non-periodic and infinite number, and number added to it will yield an irrational number.
3) So the answer is 1) Only 2
Please help!
4|x+7| < 8
3
so this is a
You also will not know precisely how many sentences will appear in the random paragraph. But some piano roll artists made a name with pieces that could not possibly be played by an precise individual. Most of his research deal with difficult meters and polyrhythms. Many include distinct voices enjoying the identical line at different tempos, usually in odd ratios. On top of this, most of the traces themselves tend to be highly dissonant and exhausting to actually play. Someday we might come nose to nose with pure house, that could presumably be a nothingness waiting to be filled.
