Two triangles are similar if they have the same ratio of corresponding sides and equal pairs of corresponding angles.
If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures. Consider a hula hoop and the wheel of a cycle, the shapes of both these objects are similar to each other as their shapes are the same.
Triangle is a three-sided polygon. The condition for the similarity of triangles is;
i) Corresponding angles of both the triangles are equal, and
ii) Corresponding sides of both the triangles are in proportion to each other.
Properties of the triangle:
1-Both have the same shape but sizes may be different
2-Each pair of corresponding angles are equal
3-The ratio of corresponding sides is the same
To know more about triangles visit: brainly.com/question/2773823
#SPJ4
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = - 0.4x -6
Step-by-step explanation:
The slope-intercept form of a line equation is
y = mx + b
where m is the slope and b the y-intercept where the line crosses the y axis.
From the figure it is clear that the line passes through (0, -6) and therefore the y-intercept is -6
To compute the slope, find another convenient point on the line. Compute the ratio of change in y values(called rise) to the change in x values(called run). This will be the slope
We see that point (10, -10) has been identified on the graph.(Any of the 4 identified points will do, I just chose this)
So two points to consider are (0, -6) and (10, -10)
Change in y values = rise = -10 - (-6) = 1- + 6 = -4
Change in x values = run = 10 - 0 = 10
So slope m = -4/10 = -0.4
Equation of line is y = -0.4x -6
Problems 14 and 15 pertain to the following situation: a woman buys 20 one-dollar lottery tickets per month. The probability of any ticket being a winning ticket is 0.10 or 10%.
14. The probability that in any one month at least three of the tickets that the woman buys are winning tickets is about?
15. The average number of winning tickets that the woman buys each month is about?
The required probability is P(X≥3) =0.3234
The average number of winning tickets that the woman buys each month is 2.
The binomial probability distribution is a discrete type of probability distribution with two parameters, n, and p. The probability mass function of the distribution is used to get the required probability. The average value of the winning number is the expected value of the binomial distribution.
The probability mass function of the binomial distribution is defined as:
[tex]P(X=x)=\frac{n}{x} p^{x} (1-p)^{n-x} , x =0,1,2,3,....,n.[/tex]
Given that,
n = 20
p = 0.10
The required probability is P(X≥3)
P(X≥3) = 1-P(X<3)
P(X≥3)= 1-P(X=0)-P(X=1)-P(X=2)
P(X≥3)= 1- 0.1216- 0.270- 0.285
P(X≥3) = 0.3234
The mean of the distribution is defined as μ=n*p= 20*0.10= 2
The average number of winning tickets that the woman buys each month is 2.
To know more about binomial probability distribution visit: brainly.com/question/14565246
#SPJ4
NO LINKS!! Please help me with this problem. Part 2gg
Answer:
Answer please see analysis
(I am not sure)Answer:
See attachment.
Step-by-step explanation:
The double brackets [[x]] denote the function is a floor function.
It also (more commonly) written as ⌊x⌋.
The definition of a floor function is "the greatest integer that is less than or equal to x".
Parent floor function
f(x) = ⌊x⌋
The graph of the parent floor function has closed dots at (x, x) and open dots at (x, x-1). Each segment is joined with a horizontal line (step).
The closed dot means the value is included, whereas the open dot means the value is not included.
Given floor function:
g(x) = -[[x]] = -⌊x⌋
As the given floor function is negative, it is a reflection of the parent floor function in the x-axis.
Therefore, the graph of the given function has closed dots at (x, -x) and open dots at (x, -(x-1)). Each segment is joined with a horizontal line (step).
To draw the graph with the restricted domain [0, 5):
Place closed dots at (0, 0), (1, -1), (2, -2), (3, -3) and (4, -4).Place open dots at (1, 0), (2, -1), (3, -2), (4, -3) and (5, -4).Join each pair of closed and open dots (with the same y-value) with a horizontal line (step).Note
The first attachment (green graph) is the graph of the given function g(x).
The second attachment (black graph) is the graph of the parent floor function for information purposes only.
A survey shows that the probability that an employee gets placed in a suitable job is 0.65. A psychometric test consultant claims that he could help place any employee in a suitable job based on the result of a psychometric test. The test has an accuracy rate of 70%. An employee working in a particular company takes the test. The probability that the employee is in the right job and the test predicts that he is in the wrong job is . The probability that the employee is in the wrong job and the test predicts that he is in the right job is
The probability that someone is in the right job and the test is then wrong is 0.195.
The probability that the employee is in the wrong job and the test predicts that he is in the right job is 0.105.
How to calculate the probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In
The probability that he is in the right job is 0.65, so the probability he is in the wrong job is 0.35, and similarly, the probability that the test is inaccurate is 0.3. Thus, the probability that someone is in the right job and the test is then wrong is:
= 0.65*0.3
= 0.195
The probability that someone is in the wrong job and the test is right is:
= 0.35 × 0.3
= 0.105.
Learn more about probability on
https://brainly.com/question/24756209
#SPJ1
What is the range of f(x) = |x| − 5?
−∞ < y ≤ −5
−5 ≤ y < ∞
0 ≤ y < ∞
5 ≤ y < ∞
Answer:
-5 ≤ y < ∞.
Step-by-step explanation:
The range of a function is the set of all possible output values (y-values) of the function. To find the range of f(x) = |x| − 5, we can first consider what happens when x is positive. In this case, the absolute value of x is just x, so the function becomes f(x) = x − 5. For example, if x = 6, then f(x) = 6 - 5 = 1. We can do this for any positive value of x to find the y-values that the function produces when x is positive.
Next, we can consider what happens when x is negative. In this case, the absolute value of x is -x, so the function becomes f(x) = -x - 5. For example, if x = -6, then f(x) = -6 - 5 = -11. We can do this for any negative value of x to find the y-values that the function produces when x is negative.
We can then combine the y-values that the function produces when x is positive and negative to find the range of the function. Since the function produces all y-values greater than or equal to -5 when x is positive and all y-values less than or equal to -5 when x is negative, the range of the function is -5 ≤ y ≤ ∞.
Therefore, the correct answer is -5 ≤ y < ∞.
What is the actual length of the school?
? ft
Answer:
48 ft
Step-by-step explanation:
The height i the scale drawing is 4 in and the length is 8 in which is twice the height
The actual school has a height of 24 ft so the length is twice the height here = 24 x 2 = 48 ft
At your college, there is a school-sponsored website that matches people looking for roommates. The school claims that 36% of students will find a match their first time using the site. You are a writer for the school newspaper and are suspicious of the claim. To test it, you decide to perform a hypothesis test. To do so, you choose a random sample of 160 students who visited the site looking for a roommate. Of the students surveyed, 48 said they found a match their first time using the site. You confirm that it is appropriate to perform a Z-test. Why is a Z-test appropriate? Find z, the value of the test statistic for your Z-test. Round your answer to three or more decimal places. ZE = 0 5 ?
A Z-test is any statistical test for which the distribution of the test statistic under the null hypothesis can be approximated by a normal distribution and he value of the test statistic for your Z-test is 3.1111
Given :
You are a writer for the school newspaper and are suspicious of the claim. To test it, you decide to perform a hypothesis test. To do so, you choose a random sample of 160 students who visited the site looking for a roommate. Of the students surveyed, 48 said they found a match their first time using the site.
we know that ,
z = x - μ / σ
= 160 - 48 / 36
= 112 / 36
= 3.1111
Learn more about the hypothesis here:
https://brainly.com/question/29576929
#SPJ4
Jocelyn estimate that a piece of wood measure 5.5 cm . If it actually measure 5.62 cm, what is the percent error of Jocelyn's estimate
The Jocelyn estimate's percent error is 2.181 centimeters..
What is percent error ?
Percent error calculates the difference between an estimate and a right number and expresses it as a percentage. Analysts can use this statistic to determine how big the mistake is in relation to the actual number. It is also referred to as % error and percentage error.
There are three steps to determining the % error:
1. Determine the error, which is the estimated value minus the actual value.
2. Multiply by the accurate value.
3. In order to create a percentage, multiply by 100.
Given information:
The size of a piece of wood (Exact value)= 5.5 cm
if it really does measure(Approximate value)=5.62 cm
percentage error={(approximate value-exact value)/exact value}×100
percentage error = ((5.62-5.5)/5.5)×100
percentage error = 2.181cm
Consequently, 2.181cm is the Jocelyn estimate's percent error.
For more details please refer the link:
brainly.com/question/18074661
#SPJ1
Your class council determined that its profit from the upcoming homecoming dance is directly
related to the ticket price for the dance. Looking at past dances, the council determined that the
profit p can be modeled by the function p(t) = -1212 + 480t + 30, where t represents the price of
each ticket. What should be the price of a ticket to the homecoming dance to maximize the
council's profit?
The price of a ticket to the homecoming dance to maximize the council's profit is 4830.
Define vertex?A vertex is a location in geometry where two or more curves, lines, or edges converge. As a result of this definition, vertices are the intersection of two lines that create an angle as well as the corners of polygons and polyhedra.A vertex is a point on a polygon where two rays or line segments meet, the sides, or the edges of the object come together. Vertex is the plural form of vertices.The vertex of an angle is the point around which it is measured, and the vertex angle is the angle that corresponds to a particular vertex.A face is a flat surface, an edge is a straight line connecting two faces, and a vertex is the corner of the shape.Given: a= -12, b = 480Vertex t= -b/2at= -480/2(-12) = 20Therefore, $20 per ticket.p(20) = -12(20) pow 2 + 480(20) + 30= 4830To learn more about vertex refer to:
https://brainly.com/question/28351231
#SPJ1
Answer:
$2 each ticket
Step-by-step explanation:
I don't really know how it's 2, but it's in the vertex of the graph. I just got my test back which the answer was 2. I'm sorry if you expected reasoning but I only got an answer. You can make a table for the equation and then see that 2 results in the highest profit though. 2 being substituted for t equates to the greatest profit.
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
In a line When the line is parallel to the x-axis, the slope is zero. The first set of coordinates' slope will be 0.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,where (x₂,y₂) and (x₁,y₁) are the coordinates of any point on the line of slope.
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
1. For the first slope, the given coordinates are;
(-3,2), (-1,2), (1,2) and (3,2).
Now, if we take the first and the last point to calculate the slope of the line, we will get,
m = (y₂- y₁) / (x₂ - x₁)
m = (2-2) / (3+3) = 0
Thus, the slope of the line is 0.
2. For the second slope, the given coordinates are;
(-3,3), (-1,1), (1,-1) and (3,-3).
Now, if we take the first and the last point to calculate the slope of the line, we will get,
m = (y₂- y₁) / (x₂ - x₁)
m = (-3-3) / (3+3) = -1
Thus, the slope of the line is -1.
3. For the third slope, the given coordinates are
(-5,-5), (0,0) and (5,5).
Now, if we take the first and the last point to calculate the slope of the line, we will get,
m = (y₂- y₁) / (x₂ - x₁)
m = (5+5) / (5+5) = 1
Thus, the slope of the line is 1.
4. For the fourth slope, the given coordinates are
(-2,5), (-2,0) and (-2,5)
Now, if we take the first and the last point to calculate the slope of the line, we will get,
m = (y₂- y₁) / (x₂ - x₁)
m = (-2+2) / (5-5) = ∞
Thus, the slope of the line is undefined.
Therefore, the slope of the first pair of coordinates will have no slope or zero slopes.
To learn more about the slope;
brainly.com/question/3605446
#SPJ1
Say that we have three voters deciding among seven candidates, a, b, c, d, e, f, g. Their preference orderings are as follows.
1 2 3
(Best) c f g
a b b
e c c
g g d
b a e
d d f
(W orst) f e a
a. Find the top cycle.
b. For each candidate in the top cycle, write down an agenda (a sequence of majority rule
votes) that makes that candidate win (you can write the agenda as a tree).
c. Say that the voters use the Borda count system (each voter gives 6 points to their first
choice, 5 points to their second choice, and so on) to decide among the candidates. Which
candidate wins?
d. Is the Borda count winner also the Condorcet winner?
e. Which candidate does the worst in the Borda count?
f. Say that the person who does worst in the Borda count (your answer in part e. above) is
embarrassed about their poor performance, and tries to convince another candidate to drop
out so that they are no longer the worst person. If a candidate drops out, there would be
six candidates, and hence in the Borda count system, each voter gives 5 points to their first
choice, 4 to their second choice, and so forth. If a candidate drops out, is it possible for the
person who was originally the worst to no longer be the worst? If so, which candidate should
drop out? If not, please explain why not.
A. The top cycle in this case is a -> b -> c -> a.
B. The agenda that wins the candidate is:
First vote:
a vs b -> a wins
Second voice:
versus. c -> a wins
The agenda that Candidate B wins is:
First vote:
b vs c -> b wins
Second Voice:
b vs a -> b wins
The agenda that Candidate C wins is:
First vote:
c vs a -> c wins
Second Voice:
c vs b -> c wins
C. Using the Borda count system, the candidates' scores are as follows:
a:
18 points (6 points from voter 1, 4 points from voter 2, and 8 points from voter 3)
b:
18 points (4 points from voter 1, 6 points from voter 2, and 8 points from voter 3)
c:
18 points (6 points from voter 1, 8 points from voter 2, and 4 points from voter 3)
d:
12 points (8 points from voter 1, 4 points from voter 2, and 0 points from voter 3)
e:
12 points (4 points from voter 1, 8 points from voter 2, and 0 points from voter 3)
f:
12 points (8 points from voter 1, 0 points from voter 2, and 4 points from voter 3)
g:
6 points (4 points from voter 1, 0 points from voter 2, and 2 points from voter 3)
Therefore, candidates a, b, and c tie for first place with 18 points each.
D. No, the Borda count winner is not the Condorcet winner, because the Condorcet winner is the candidate who would win in a majority rule vote against every other candidate. In this case, candidate c is the Condorcet winner, because c beats a and b in majority rule votes.
E. The candidate with the worst score in the Borda count is g of 6 points.
F. If a candidate fails, the original worst candidate may no longer be the worst. In this case, if candidate g fails, the remaining candidates will have the following results:
a:
15 points (Voters 1 to 5 points, Voters 2 to 4 points, Voters 3 to 6 points)
b:
15 points (Voters 1 to 4 points, Voters 2 to 5 points, Voters 3 to 6 points)
c:
15 points (Voters 1 to 5 points, Voters 2 to 6 points, Voters 3 to 4 points)
Day:
10 points (voters 1 to 6 points, voters 2 to 4 points, voters 3 to 0 points)
e:
10 points (voters 1 to 4 points, voters 2 to 6 points, voters 3 to 0 points)
f:
10 points (voters 1 to 6 points, voters 2 to 0 points, voters 3 to 4 points)
In this case, g's 6-point score is not included in the calculation, so candidate g is no longer last.
Read more about this on brainly.com/question/26003959
#SPJ4
Conrad Savings Bank has a $50 overdraft fee. On Friday, Mr. McQuire deposited his paycheck of $332 for a total
account balance of $750. The next morning, his wife wrote a check for $1,183.15 for a new refrigerator and stove.
The check cleared the bank by the end of the day. What is the current balance in the McQuire's account?
Answer: -433.15
Step-by-step explanation:
he's id debt and has to pay off the 433.15 later on.
Answer:
The McQuires' account is currently overdrawn by $483.15.
Step-by-step explanation:
If the McQuires' account balance was $750 on Friday and they wrote a check for $1,183.15 on Saturday, then the balance would be 750 - 1,183.15 = -$433.15 after the check cleared. Since the bank charges a $50 overdraft fee, the final balance in the McQuires' account would be -$433.15 - $50 = -$483.15. The McQuires' account is currently overdrawn by $483.15.
the number of violent crimes committed in a city on a given day in a random sample of 90 days is a random variable.
The number of violent crimes committed in a city on a given day in a random sample of 90 days is a discrete random variable.
A random variable refers to a numerical quantity that is obtained by a random experiment. A random variable is known as discrete if it has either a finite or a countable number of possible values while it is called continuous if its possible values contain a whole interval of numbers. Hence, a discrete random variable refers to a variable that can take any whole number values as outcomes of a random experiment. It is a variable whose value is obtained by counting. Probability distributions are used to illustrate the values of discrete random variables. A discrete random variable is also known as a stochastic variable. Examples of a discrete random variable are a binomial random variable and a Poisson random variable. As the number of crimes committed in a city can only take discrete values such as 40 crimes, 50 crimes and cannot be 40.5 crimes, it is a discrete random variable.
Learn more about Discrete random variable:
https://brainly.com/question/22004433
#SPJ4
I need help with this please help me
Answer:
A and B
Step-by-step explanation:
It is transformed fro a to a' by shift left of 7 and down 3 T(-7,-3)
A truck going at a rate of 20 miles an hour will reach a town 40 miles away in how many hours ?
Answer:
2 hrs
Step-by-step explanation:
d / r = time
40 mi / 20 m/hr = 2 hrs
which graph represents the equation y =1/3 x + 2
The graph of the equation y = (1/3)x + 2 is passing through points
(3, 3) and ( -3, 1).
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Given, A linear equation y = (1/3)x + 2.
Now to graph the equation we'll simply put some arbitrary values of x which will correspond to some values of y and plot them then we'll join them with a straightedge.
When x = 3, y = 3 ⇒ (3, 3).
When x = - 3, y = 1 ⇒( -3, 1).
learn more about graphs here :
https://brainly.com/question/2288321
#SPJ1
1. Which property justifies the second line in the following solution?
(1) Multiplicative Property of Equality
(3) Distributive
(2) Associative
(4) Additive Property of Equality
3x+2=8
3x+2-2=8-2
Additive Property of Equality justifies the second line in the 3x + 2 = 8
3x+ 2 - 2 = 8 - 2 solution.
What is Multiplicative Property of Equality?
When we multiply on both sides of an equation then the equation is remain same.
Distributive property: a(b + c) = ab + ac in other words the product of a number with sum of two numbers is equal to the sum of product first two numbers and "first and third" numbers.
Associative property: (a + b) + c = a + (b + c): If we shift the parenthesis then the result will remain the same.
Given equation is
3x+2=8
The second step is 3x + 2 - 2 = 8 - 2.
The additive inverse of 2 is -2.
-2 is added in second step. Thus Additive Property of Equality is used.
To learn more about Additive Property of Equality, click on below link:
https://brainly.com/question/10617252
#SPJ1
The mass of a cube,
M
(kg), is proportional to the cube of the length of its edge,
L
(m).
The mass of the cube is 90 kg when the length of its edge is 20 cm.
Work out
L
(to 2 DP) when
M
=
1700
kg
Answer:
Below
Step-by-step explanation:
m = k l^3 <=======given
when m = 90 kg and l = 20 cm
90 = k (20^3) shows k = .01125 kg/cm^3
sooooo : m = .01125 l^3
when m = 1700:
1700 = .01125 l^3
l = cubrt ( 1700/.01125) = 53.26 cm
What is 0.6 divided by 10
Answer: 0.06
Step-by-step explanation:
Find the slope of the line graphed below.
The slope of the line determined by the points (-3,2) and (2,-2) is -0.8. The slope of a line is a measure of the steepness of the line.
What is slope of line ?It is defined as the change in the y-coordinate divided by the change in the x-coordinate between two points on the line. The slope of a line is a measure of the steepness of the line. It is defined as the change in the y-coordinate (vertical change) divided by the change in the x-coordinate (horizontal change) between two points on the line.The slope is often represented by the letter "m" in the slope-intercept form of a line's equation: y = mx + b. In this form, "m" is the slope and "b" is the y-intercept (the point where the line crosses the y-axis).To find the slope of a line given two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
Plugging in the coordinates of the two points given, we get:
slope = (-2 - 2) / (2 - (-3))
= -4 / 5
= -0.8
So, the slope of the line determined by the points (-3,2) and (2,-2) is -0.8.
To learn more about Slope of line refer :
https://brainly.com/question/16949303
#SPJ1
Write an integral that represents the area of the shaded region of the figure. Do not evaluate the integral. r = cos(2θ)
The area of the shaded region - [tex]\int\limits^\frac{5\pi }{4} _\frac{3\pi }{4}[/tex] [tex]cos^{2}[/tex] 2θ dθ
Determine α, β and f(θ).
To determine α and β, imagine a clock dial that turns counter-clockwise around the origin. The shaded area must be passed over by the dial. Place the dial in its starting position, and find the angle it makes with the horizontal axis, this angle is α. Do the same for the dial's end position, this angle [tex]\beta[/tex] .
To find f(θ), this equals r.
α= [tex]\frac{3\pi }{4}[/tex]
β= [tex]\frac{5\pi }{4}[/tex]
f(θ)=r=cos2θ
we know the integration formula,
A = [tex]\int\limits^\alpha _\beta[/tex] f (θ )² dθ
Hence, the area of the shaded region:
A = [tex]\int\limits^\frac{5\pi }{4} _\frac{3\pi} {4} \,[/tex] [tex]cos^{2}[/tex] 2θ dθ
Read more about integration :
https://brainly.com/question/22008756
#SPJ4
making several trays of her famous lasagna. She finds the mozzarella cheese on sale for $4.89 per pound at her local grocery store. How much will she pay for four pounds of cheese?
Answer:
$19.56
Step-by-step explanation:
$4.89 per pound times the number of pounds to be purchased (4).
so 4(4.89)=19.56
Integers Plot -2 1/2 on a number line.
A number line is plotted below:
What is meant by number line?A number line, used to represent the real numbers visually in early mathematics, is a drawing of a graduated straight line. It is presumptively true that each real number and each point on a number line relate to one another. A line with carefully marked, equally spaced-out points on it is frequently used to represent integers. Despite the fact that the image only displays the integers from -3 to 3, the line contains all real numbers, going on forever in both directions, as well as numbers that fall in between the integers. Especially when negative numbers are involved, it is frequently used as a teaching tool for basic addition and subtraction.
The number line is properly known as the real number line in advanced mathematics and can also be referred to as a real line.
A number line is plotted below:
To know more about number line, visit:
https://brainly.com/question/13425491
#SPJ1
Wei Jing has between 70 and 150 baseball
cards in his collection. When he arranges them
in groups of 10, he has 3 left over. When he
arranges them in groups of 9, he has 5 left
over. If he arranges them in groups of 8, how
many will he have left over?
Answer:
117$.
Step-by-step explanation:
Let $x$ represent the number of cards in Wei Jing's collection. We are given that $70 \leq x \leq 150$. We are also given that $x \equiv 3 \pmod{10}$ and $x \equiv 5 \pmod{9}$. Since $x \equiv 3 \pmod{10}$, $x - 3$ is divisible by 10. Since $x \equiv 5 \pmod{9}$, $x - 5$ is divisible by 9. The least common multiple of 10 and 9 is $90$, so $(x - 3) - 90$ is divisible by 90 and $(x - 5) - 90$ is divisible by 90. Adding these equations gives us $2x - 98$ is divisible by 90. Dividing both sides by 2 gives us $x - 49$ is divisible by 45. Since $70 \leq x \leq 150$, the only solution for $x$ is $x = 117$.
Suppose that the relation G is defined as follows G={(-6, -4), (5, -4), (1, 5) give the domain and range of G Write your answers using set notation
Suppose that the relation G is defined as follows G={(-6, -4), (5, -4), (1, 5) give the domain and range of G in set notation
domain {-6, 5, 1}
range {-4, -4, 1}
What is set notation?In mathematics, set notation is essentially a list of numbers, things, or results. Curly brackets, often known as braces, are used for set notation.
The items included between brackets are referred to as elements of a set and are not required to be in any particular order.
How to find the domain and the rangeAll of a function's x-values, or inputs, make up the domain, and all of a function's y-values, or outputs, make up the range.
in the given relation, G={(-6, -4), (5, -4), (1, 5)}
the first figure in the parenthesis is the domai whilel the next is the range
hence domain = -6, 5, and 1 while range is -4, -4, and 5
Learn more about range and domain at:
brainly.com/question/1942755
#SPJ1
solve for the missing angle, must show all your work
help pleasee
Answer:
Step-by-step explanation:
cos x = 7/10
x= cos^-1 7/10
x=45.57
Bag A contains 2 black marbles and 3 white marbles. Bag B contains 5 black marbles and 8 white marbles. Sarah adds some marbles to bag B, the probability of picking a black marble at random from either bag is now the same. Work out the smallest number of black marbles and white marbles he adds to bag B
Answer:
add one black and one white marble
Step-by-step explanation:
you have to make bag b equivalent to a 2:3 ratio.
add 1 to 5 to make it divisible by 2
divide 6 by 2
=3
multiply 3 by 3 to get a 2:3 ratio
=9
subtract initial marbles
9-8=1
Solve for S
3/ -s + 1 = 6/ s + 4
Consider the sample space given below. A die is a cube with six sides and each side contains one to six dots. Suppose a blue die and a gray die are rolled together, and the numbers of dots that occur face up on each are recorded. The possible outcomes of the sample space S are listed as follows, where in each case the die on the left is blue and the one on the right is gray.S = {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66)a) Let E be the event that the sum of the numbers showing face up is equal to 6. Write E as a set. (Write your answer in set-roster notation.) b) What is the probability of e? c) Let F be the event that the sum of the numbers showing face up is at most 4. Write Fas a set. (Write your answer in set-roster notation. ) d) What is the probability of F? Show all work in either the answer box shown or upload your answer with a file - can be PDF or jpeg only.
a) The event E, that the sum of the numbers showing face up is equal to 6, can be written as the set:
E = {11, 15, 24, 33, 42, 51}
b) The probability of E is 6/36 = 1/6.
c) The event F, that the sum of the numbers showing face up is at most 4, can be written as the set:
F = {11, 15, 22, 31, 33, 42, 44, 51}
d) The probability of F is 2/9.
Probability is a measure of the likelihood of an event occurring in a statistical experiment. It is a number between 0 and 1, where 0 indicates that the event will never happen and 1 indicates that the event will always happen. Probability can be used to make predictions about the outcome of statistical experiments, and it is a useful tool in many fields, including economics, finance, and science. It is also used in gambling and games of chance to determine the odds of winning.
The probability of event E is the number of outcomes in the event divided by the total number of outcomes in the sample space. There are 6 outcomes in the event E and 36 outcomes in the sample space.
So, the probability of E is 6/36 = 1/6.
The probability of event F is the number of outcomes in the event divided by the total number of outcomes in the sample space. There are 8 outcomes in the event F and 36 outcomes in the sample space.
So, the probability of F is 8/36 = 2/9.
Learn more about probability, here https://brainly.com/question/11234923
#SPJ4
If 1+3+5+7+…+49 =625, what is 2+4+6+8+…+50?
If 1+3+5+7+…+49 =625, then the value of 2+4+6+8+…+50 = 650.
What is arithmetic series?
A series of numbers called an arithmetic progression or sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.
Here, we have
Given: 1+3+5+7+…+49 =625
We have to find the value of 2+4+6+8+…+50.
Here, we calculate the sum of all even numbers and we get
2+4+6+8+…+50 = 650
Hence, if 1+3+5+7+…+49 =625, the value of 2+4+6+8+…+50 = 650.
To learn more about the arithmetic series from the given link
https://brainly.com/question/6561461
#SPJ1
