Mia is rolling a pair of 666-sided dice. P(n)p(n)p, left parenthesis, n, right parenthesis models the probability of the event that the sum of the dice is nnn. The number type is more appropriate for the domain of ppp is {n | n ∈ N, 2 ≤ n ≤ 12}
A perfect dice has six faces and is exactly cubical in shape. Each face has one of the numerals 1, 2, 3, 4, 5, or 6, and any two faces can have a different digit.
Now that two dice have been rolled, P(n) simulates the likelihood that the total of the two dice's faces will be n.
The domain of P is therefore given by,
{n | n ∈ N, 2 ≤ n ≤ 12}
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Which is a true statement about the transformation?
A.) Triangle ABC was translated 8 units left and 3 units up.
B.) The pre-image is in quadrant II.
C.) The orientation of the figure was changed.
D.) The orientation of the vertices was changed
HELP ASAP
Answer: the answer is B
Step-by-step explanation:
Answer:b
Step-by-step explanation:
this is due tonight and I still can't solve it :( its a test
For 16-19, graph each equation or inequality.
16. 2y – 4x < 8
17. -4y > -x + 12
18. | x + 3 |= y
19. |2x – 6| + 2 = y
The solution is the set of all points (x,y) that satisfy the inequalities:
y < 2x + 4, y < x/4 - 3, x + 3 = y, and 2x - 6 + 2 = y.
What is the graph of a function?
The graph of a function is a visual representation of the relationship between the input values (x-coordinates) and the output values (y-coordinates) of the function. In other words, it is a visual representation of the function's rule.
The graph of a function can take many different forms, depending on the function's rule. Linear functions, for example, will produce a straight line on the graph.
i) 2y - 4x < 8 can be solved by adding 4x to both sides and then dividing by 2, giving:
y < 2x + 4.
ii) -4y > -x + 12 can be solved by adding x to both sides and then dividing by -4, giving: y < x/4 - 3.
iii) | x + 3 | = y, you can split this into two cases:
i. x + 3 = y
ii. -(x + 3) = y
iv) |2x – 6| + 2 = y, you can split this into two cases:
i. 2x - 6 + 2 = y
ii. -(2x - 6) + 2 = y
We can use these equations to plot the graph on a coordinate plane.
Hence, the solution is the set of all points (x,y) that satisfy the inequalities:
y < 2x + 4, y < x/4 - 3, x + 3 = y, and 2x - 6 + 2 = y.
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John was able to assemble 10 bicycles in 8 hours. Considering that he is consistent assembling each bicycle, how many bicycles can John assemble in 1 hour?
Answer:
Step-by-step explanation:
2.25
In 1 hour one cycle and 1/4th of the second cycle can be assembled. or 1.25 cycles can be assembled.
Divisions:The division is a mathematical operation among the 4 fundamental mathematical operations. It is the process of dividing a group of items into smaller groups and used for equal distribution.
Divisions are used very often in our daily life like dividing food items, dividing money for people calculating averages, etc.
Here we have
John was able to assemble 10 bicycles in 8 hours.
Given that he is consistently assembling each bicycle
To find the number of cycles that can be assembled in 1 hr
Divide given number of cycles by the given time
Number cycles can be assembled = 10/8 = 1.25
This means John can assemble 1 cycle and 1/4 of the 2nd cycle.
Therefore,
In 1 hour one cycle and 1/4th of the second cycle can be assembled. or 1.25 cycles can be assembled.
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Is 1 √ 5x a polynomial?
1 - √5x is not a polynomial.
What are polynomials?Algebraic expressions called polynomials include constants and indeterminates.
Polynomials can be thought of as a type of mathematics.
Nearly all branches of mathematics employ them to express numbers, and calculus is one of those branches where they play a crucial role.
A specific kind of expression is a polynomial.
A mathematical statement without the equals symbol (=) is called an expression. Let's examine the definition and usage of polynomials as they are described below.
An algebraic expression known as a polynomial requires that all of its exponents be whole numbers.
Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.
Hence, 1 - √5x is not a polynomial.
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For a trip to the beach Kelly drove for 5/6 hour and Joshua drove 2/5 hour estimate how much longer Kelly drove than Joshua.
Hello! Help me please for points, will give brainliest if you answer correctly, too!
Which of the following tables represent a proportional relationship?
Therefore , the solution of the given problem of proportionality relationship comes out to be it is not proportional relationship.
How does proportionality work?Relationships are regarded to as proportional when they continuously have the same ratio. For instance, the number of trees in an airport and the number of apples in a harvesting of apples depend on the average number of apples produced by each tree. A linear relation between two number or variables is referred to as being proportional in mathematics. If the initial quantity doubles, the other amount also does so. Whenever one of the parameters is reduced to 1/100th of the its previous value, the other decreases as well.
Here,
Given :
x= 1 , y=6
x=2,y=12
So , the equation is :
=> y =2x
The proportional relationship says that the line of the given equation passes through origin ,
=> y =2x
=> y = 2(0)
=> 0 =0
Thus , x =0 and y=0 because this line pass through origin it is proportional relationship.
Therefore , the solution of the given problem of proportional relationship comes out to be it is not proportional relationship.
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Nathan measured the length of his cat. The length was a rational number. Which could be the length of nathan's cat?.
The length of Nathan's cat will be √27 inches.
Logic is the manipulation of all those concepts, whereas algebra is the study of abstract symbols.
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all referred to by the abbreviation PEMDAS. This strategy is utilized to provide an accurate and comprehensive solution to the issue.
A number is referred to as rational if the value of a numerical expression terminates, in which case it is a rational number, and irrational if the value of the expression does not terminate.
5/2, 1/3, 45, 59, 144, and so forth are examples of rational numbers.
The irrational numbers include, e,√27, and so forth.
Nathan's cat will be about √27 inches long.
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x=8-2y,3x+y=6 solving linear equations
Answer:
So the solution is x = -0.57 and y = 30/7.
Step By Step Explanation:
To solve a system of linear equations, such as "x = 8 - 2y" and "3x + y = 6", we can use substitution or elimination method.
Using substitution method:
solve one equation for one variable
substitute the expression obtained in step 1 into the second equation
solve the equation obtained in step 2 to find the value of the variable that was solved for
substitute this value back into the first equation to find the value of the other variable.
x = 8 - 2y;
3x + y = 6;
solve for x in the first equation
x = 8 - 2y
substitute the value of x in the second equation
3(8-2y) + y = 6
solve the second equation obtained for y
24 - 6y + y = 6
25 - 6y = 6
-6y = -19
y = 19/6
substitute the value of y back in the first equation
x = 8 - 2(19/6) = 8 - (38/6) = 8 - (63/6) = 8 - (63/6) = 8 - 10.5 = -2.5
So the solution is x = -2.5 and y = 19/6
Alternatively, using elimination method:
Add or subtract one equation from the other to eliminate one of the variables.
Solve the resulting equation for the remaining variable.
Substitute this value into either of the original equations to find the value of the eliminated variable.
Multiply the first equation by -3
-3x = -24 + 6y;
Add the above equation to the second equation
-3x + y = 6
-24 + 6y + y = 6
-24 + 7y = 6
7y = 30
y = 30/7
substitute the value of y into the first equation
x = 8 - 2(30/7) = 8 - (60/7) = 8 - (60/7) = 8 - 8.57 = -0.57
So the solution is x = -0.57 and y = 30/7.
How are you supposed to solve 50x8=?
Answer: 50x8 = 400 ✅
Step-by-step explanation:
To solve the equation 50x8=, you are supposed to multiply 50 by 8. (or add 50 8 times)
You can perform the multiplication by using mental math, a calculator or a pencil and paper.
So 50 multiplied by 8 equals to 400.
HELP!
i need help!
please
Answer:
729
Step-by-step explanation:
3x3x3=27
27x27=729
Answer:
[tex](3^3)^{2}[/tex] = [tex]729[/tex]
Step-by-step explanation:
To solve this problem, you need to utilize this exponent property:
[tex](a^n)^m = a^{n*m}[/tex]
In this problem,
a = 3
n = 3
m = 2
Substitute these values into the property and compute.
∴ [tex](a^n)^m = a^{n*m}\\(3^3)^2 = 3^{3*2}\\(3^3)^2 = 3^6\\(3^3)^2 = 729[/tex]
mark brainliest please :)
Helppp testtttttt
Answer choices in picture
What is the maximum number of shapes that can be formed by cross sections of a cube?
05
6
7
8
6
if youadd 9 tot he thing you get the answr
PLS HELP 100 POINTS
The function f(x) = 2x2 + 2 represents the rate of a bus traveling in miles per hour. The function g(x) = x + 2 represents the time the bus traveled in hours. Solve (f ⋅ g)(3), and interpret the answer.
(f ⋅ g)(3) = 100, the distance in miles the bus traveled
(f ⋅ g)(3) = 100, the number of buses
(f ⋅ g)(3) = 25, the distance in miles the bus traveled
(f ⋅ g)(3) = 25, the number of buses
Answer:
(f ⋅ g)(3) = 100, the distance in miles the bus traveled
Step-by-step explanation:
The product of (miles/hour) and (hours) is (miles), so only answers with units of distance are applicable. The numbers are ...
f(3) = 2·3² +2 = 20 . . . . miles per hour
g(3) = 3+2 = 5 . . . . hours
so (f·g)(3) = f(3)·g(3) = 20·5 = 100 . . . . miles
Answer:
(f ⋅ g)(3) = 100, the distance in miles the bus traveled.
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=2x^2+2\\g(x)=x+2\end{cases}[/tex]
To calculate the composite function (f ⋅ g)(3), multiply function f(3) by function g(3).
[tex]\begin{aligned}(f \cdot g)(3)&=f(3) \cdot g(3)\\&=(2(3)^2+2)(3+2)\\&=(2(9)+2)(3+2)\\&=(18+2)(3+2)\\&=(20)(5)\\&=100\end{aligned}[/tex]
If function f(x) represents the rate of a bus travelling in miles per hour,
and function g(x) represents the time the bus travelled in hours:
[tex]\implies f(x) \cdot g(x)=\rm miles/hour \cdot hour=\dfrac{miles}{hour} \cdot hours=miles=distance[/tex]
Therefore, (f ⋅ g)(3) = 100 represents the distance in miles the bus traveled.
Assign point_dist with the distance between point (x1, y1) and point (x2, y2). The calculation is: distance = squarerootof( (x2 - x1)2 + (y2 - y1)2 ). Sample output with inputs: 1. 0 2. 0 1. 0 5. 0.
The point_dist with the distance between point (x1, y1) and point (x2, y2): point_dist = math.sqrt((x2 – x1) ** 2.0 + (y2 – y1) ** 2.0).
The program is the illustration of functions. Functions are the collections of defined program statements, which are executed when they are evoked.
In this case, the program in Python, in which comments are used to explain each line is as follows:
#This imports the math module
import math
#This defines the function
def calculate distance (x1, y1, x2, y2):
#This calculates the distance between the point_dist
point_dist = math.sqrt((x2 – x1) ** 2.0 + (y2 – y1) ** 2.0)
#This returns the calculated distance
return dist distance
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Although part of your question is missing, you might be referring to this full question: Assign point_dist with the distance between point (x1, y1) and point (x2, y2). The calculation is: Distance = SquareRootOf( (x2 - x1)2 + (y2 - y1)2 ). Sample output with inputs: 1.0 2.0 1.0 5.0. Points distance: 3.0.
Linday i 5 year younger than Mark. Seven year ago, the um of their age wa 31. Let L be Linday' age and let m be Mark' age
Seven years ago the sum of their ages was 31:
(L - 7) + (M - 7) = 31
Given that:
Lindsay is 5 years younger than Mark. Seven years ago, the sum of their ages was 31.
let L be Lindsay's age and let m be Mark's age.
L −7 = (M−7) + 5
⇒ L + M = 31
⇒ L = M + 5
⇒ (L−7) + (M−7) = 31
Now,
L−7 = (M−7) − 5
⇒ L + M = 31
Now, as we know that:
Lindsay is 5 years younger than Mark.
Therefore,
L = m −5
And,
Seven years ago the sum of their ages was 31:
(L−7) + (m−7) =31
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What is the common ratio for this geometric sequence ? 28,23,18
The common ratio is 18/23.
What is the geometric sequence?
A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a fixed number, called the common ratio. To find the common ratio of a geometric sequence, we can divide each term by the previous term.
It's important to note that in a geometric sequence, the quotient of any two consecutive terms is always constant and that is the common ratio.
A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value. Its general term is.
aₙ= a₁ rⁿ⁻1. The value r is called the common ratio. It is found by taking any term in the sequence and dividing it by its preceding term.
Given the geometric sequence: 28, 23, 18
We can find the common ratio by dividing each term by the previous term:
r = 23/28 = 18/23
Therefore, the common ratio is 18/23.
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Choose the situation below that has a positive rate of change between variables. A A car uses 25 gallons of gas for each mile it is driven. B A skydiver falls an average distance of 12,500 feet during a dive. C The height of a building increases by 10 feet for every story added. D All of the above
The situation below that has a positive rate of change between variables: "The height of a building increases by 10 feet for every story added".
What is positive rate of change?A positive rate of change indicates that the amount under consideration is rising over time, whereas a negative rate of change indicates that it is declining with time. Change rates can be positive or negative. This corresponds to a change in the y -value between the two data points. The term zero rate of change refers to a quantity that does not fluctuate over time. An growing function's average rate of change is positive, whereas a declining function's average rate of change is negative.
Here,
The case below that exhibits a positive rate of change between variables: "The height of a building grows by 10 feet for every floor added".
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A man is climbing down from 250 feet high. He jumps 40 feet down and then descends at a
rate of 30 feet per minute. How many minutes did it take him to reach the ground?
5
7
8
11
It take him to 7 minutes reach the ground. You can calculate the tangent height of an object using the distance and angles
What is the height formula?By multiplying "D * tan (theta)," where "tan" is the tangent of angle theta, you can determine the height of the object of interest. For instance, rounding up, the height is 40 tan 50 = 47.7 metres if theta is 50 degrees and D is 40 metres.
rate of descent=30 feet per minute
Height of climb=250 feet
Since he jumped 40 feet in no time,
hence,
new height=250-40=210
Time taken to reach ground=height/rate of descent
Time taken=210/30
Time taken=7 minutes
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A tire with a 3-foot diameter makes a mark that is approximately 9 feet long after one rotation. A similar tire with a diameter of 2.25 feet makes a mark that is approximately 7 feet long after one rotation. Write an expression that can be used to find the approximate length of a tire mark after one rotation for a tire that has a diameter, d.
Answer: i’m the biggest bird
Step-by-step explanation:
i’m the biggest bird
Kevin needs to buy some wood to build a box 12 inches long, 8 inches wide, and 10 inches high. How much wood is needed to build a box
960 woods
Step-by-step explanation:
lxbxh=12×8×10=960
What are the 3 types of problem solving?
The three different categories of problem-solving techniques are.
Clarifying.Ideating.Developing.What exactly does the term "problem-solving" mean?A problem must be defined, its cause identified, potential solutions located, ranked and selected, and then those solutions must be implemented. the steps taken to resolve problems.
Clarifying:
Making the situation clear is the first step in solving any issue.It simplifies things for you to handle and enables you to proceed.When speaking with clarifyers, salespeople should ask as many questions as possible to get more information.Ideating:
Making sense of the situation is the first step in solving any issue.It helps you to manage it better and enables you to proceed.When dealing with clarifyers, salespeople must ask as many clarification-related questions as they can.Developing:
The best course of action is something that developers are very careful to select.These people are meticulous perfectionists.Salespeople should give customers a few options in order to discover what distinguishes their decision from the alternatives.To know more about the problem-solving, here
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The volume of a can of soup is 37.68 cubic inches and the length of the radius of the base
of the can is 1.5 inches. Use the formula to determine the height of the can of soup.
Use 3.14 for pi.
When the capacity and radius are stated as 37.68 cubic inches and 1.5 inches, respectively, the height of the soup can is 5.34 inches.
what is volume ?It is also known as the object's capacity. The fundamental equation for volume is length, width, and height, as opposed to the fundamental equation for the area of a rectangular shape, which is length, breadth, and height. The math is the same regardless of how you refer to the different dimensions. For example, you can substitute "depth" for "height." Volume is used to describe an object's capacity.Volume can also be used to describe how much space a three-dimensional object occupies.
given
volume of a can of soup = 37 .68 cubic inches
length of radius = 1.5 inches
v = 37 .68 cubic inches
r = 1.5 inches
v = [tex]\pi r^{2} h[/tex]
37.68 = 7.06 * h
h = 5.34 inches
When the capacity and radius are stated as 37.68 cubic inches and 1.5 inches, respectively, the height of the soup can is 5.34 inches.
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What is the sum of the measures of the exterior angles of a quadrilateral? If
necessary, round to the nearest tenth.
The sum of the measures of the interior angles of a quadrilateral is 360°. The sum of the measures of the exterior angles of a quadrilateral is 360°.
What is a quadrilateral?
A quadrilateral is a closed shape that has four sides, four vertices, and four angles. It's made by connecting four non-collinear points. The sum of quadrilateral interior angles is always 360 degrees.
Assume that ABCD is a quadrilateral.
The sum of the interior angle and the corresponding exterior angle is 180°.
The exterior angle of A is E. The exterior angle of B is F. The exterior angle of C is G. The exterior angle of D is H.
Thus ∠A + ∠E = 180° .....(i)
∠B + ∠F = 180° ......(ii)
∠C + ∠G = 180° ......(iii)
∠D + ∠H = 180° ......(iv)
Add equations (i), (ii), (iii), (iv):
∠A + ∠E + ∠B + ∠F + ∠C + ∠G + ∠D + ∠H = 180°+180°+180°+180°
(∠A+∠B + ∠C +∠D) + ∠E +∠F + ∠G + ∠H = 720°
The sum of all interior angles of quadrilateral is ∠A+∠B + ∠C +∠D = 360°.
360°+ ∠E +∠F + ∠G + ∠H = 720°
∠E +∠F + ∠G + ∠H = 720° - 360°
∠E +∠F + ∠G + ∠H = 360°
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compare the ratios 5:12 and 7:9
Answer: 5:12< 7:9
Step-by-step explanation: (5:12) x3= 15:36 < 21:36 (7:9)x3=21:36
Answer:
[tex]\frac{5}{12} < \frac{7}{9}[/tex]
Step-by-step explanation:
[tex]5:12[/tex] [tex]7:9[/tex]
[tex]5*9[/tex] [tex]7*12[/tex] (using cross multiply)
[tex]45 < 84[/tex]
Therefore your answer is [tex]\frac{5}{12} < \frac{7}{9}[/tex]
Extra:
I hope this helped at all.
Note: (Please don't delete this answer moderators.)
Show your work
Determine the perimeter of the triangle.
Round to the nearest hundredth. #8
Upload images
The perimeter of the triangle formed by ABC is 26.56
What is Coordinate Geometry ?A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more integers, or coordinates.In order to make it simple to identify the points, a cartesian plane divides the plane space into two dimensions.
Here,
The coordinate plane is another name for it. The horizontal x-axis and the vertical y-axis are the two axes of the coordinate plane. The origin is the place where these coordinate axes connect, and they split the plane into four quadrants (0, 0). Additionally, each point in the coordinate plane is denoted by the coordinates (x, y), where x represents the point's location in relation to the x-axis and y represents its position in relation to the y-axis.
The points on the plane are
A (1,-2) , B(8,-5) and C (5,5)
The length of AB is
=> (81)2+(-5+1)2 = √72 +42
= √65
The length of BC is
(8-5)2+(-5-5)2 -
= /32+102 =
✓109
And Length of AC is
√(1 − 5)2 + (−2 −5)2 = √42 +72 = √65
The perimeter of the triangle is √65+ √65+√109 = 26.56
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Why is 8 not a perfect number?
8 is not a perfect number as sum of its proper divisors is not equal to 8.
A perfect number is a positive integer that is equal to the sum of its proper divisors, which are the divisors of the number excluding the number itself. In other words, a perfect number is a number that can be written as the sum of its divisors, excluding itself.
For example, the number 6 is a perfect number because its divisors are 1, 2, and 3, and 1+2+3 = 6.
8 is not a perfect number because it is not equal to the sum of its proper divisors. The divisors of 8 are 1, 2, 4, and 8, and 1+2+4 = 7, which is less than 8.
Therefore, 8 is not a perfect number. To this date, only 49 known perfect numbers have been found, they are all even numbers and the largest known perfect number is 2^(74,207,281) − 1, it has over 22 million digits.
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Rebecca can make 180 cupcakes at her bakery each day.
Currently, she has orders for more than 540 cupcakes.
Which inequality represents how many days it will take
Rebecca to complete her orders?
A x ≥ 3
B x≤ 3
C
x> 3
D x<3
option A The inequity x ≥ 3 indicates how many days it will take Rebecca to finish her orders.
what is inequality ?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal symbol (). Different inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
given
180x3=540 is the value.
0x3=0 3x8 =24
Add 1+2 tens and the tens on top of the one to obtain 540.
so option A The inequity x ≥ 3 indicates how many days it will take Rebecca to finish her orders.
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Layla ha a coin that ha a 60% chance of howing head each time it i flipped. What i the probability that he get more than 3 head?
If there were only 5 coin tosses, the answer would be p5, where p= 0.6.
Now,
18 - 5 + 1 = 14 consecutive sequences of 5 flips contained in 18 flips. So it's tempting to say the answer is 14p5 ≈ 1.08, but it's also wrong. This is actually the number of expected 5-sticks, not the probability of at least one 5-stick. The problem is that since these sequences overlap, the events are not mutually exclusive, so we cannot sum them to get the overall probability. We have to subtract out all the possibilities of generating multiple 5 streaks, but calculating that probability is very complicated.
This post on stack swapping suggests an elegant approach that can be adapted to this problem. Let's define a sequence P(n). where P(n) is the probability of at least one consecutive heads after a total of n rollovers. So the answer of the question is P(18).
Clearly, P(0) = P(1) = P(2) = P(3) = P(4) = 0. This is because he can't get 5 heads in a row unless he flips the coin 5 times. P(5) is easy to compute, it only happens if all 5 flips are heads, so P(5) = p5 = 2433125 = 0.07776 .
Well, the length of the discontinuous part is n - 6, so the probability is
(1 −P(n−6)). The T,H,H,H,H,H part is the probability (1−p)p5 =(0,4)(0,6)5, and since these are independent events, the probability of THHHHH [not consecutive first letters] is (1−P( n −6))( 1−p) p5 .
Putting, All together:
P(n) = P(n−1) + (1−P(n−6))(1−p) p5.
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Given that k is any integer, list all of the possible values for x that are in
the specified interval.
(a) π/2+ k· π, −3π ≤x≤ 3π
(b) π/6 + k· 2π, -2π≤x≤2π
(c) 7π/12 + k· π, 0 ≤ x< 2π
(d) 4/π+k• π/4 0 ≤ x< 4π
Where k is an integer, the range of potential values for x is between 90 and 45.
what is integer ?Integers can be zero, a calculation that shows, or a minus integer signified by a minus sign. An additive inverse of a positive integer that it relates to is a negative number. A group of integers is usually denoted in mathematical notation by a bold Z or even a bold "mathbb Z." An integer is a positive, negative, and zero number that is not a fraction (pronounced IN-tuh-jer). Non-integer examples include the numerals 1.43, 1 3/4, 3.14, and more. A collection containing integers and their southern hemisphere is known as an integer set. Fractions and decimals are not included in the integer set.
given
a) π/2 + k * π =
= k = 90
b) π/6 + k· 2π =
k = 45
Where k is an integer, the range of potential values for x is between 90 and 45.
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