The number of different lottery tickets that can be chosen in a 5/43 lottery is 8,145,060.
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
The number of different lottery tickets that can be chosen in a 5/43 lottery is 8,145,060. This can be calculated using the combination formula, which is:
[tex]nCr = n / (r(n-r))[/tex]
where n is the total number of options (43) and r is the number of choices (5).
so, [tex]43C5 = 43 / (5(43-5)) = 8,145,060.[/tex]
Lottery tickets that can be chosen in a 5/43 lottery is 8,145,060.
To know more about probability visit:
brainly.com/question/11234923
#SPJ4
The longer base of a trapezoid is 8 ft. The longer base of a similar trapezoid is 13 ft. The area of the smaller trapezoid is 240 ft2. What is the area of the larger trapezoid?
Answer:
390 ft²
Step-by-step explanation:
The longer base of a trapezoid is 8 ft. The longer base of a similar trapezoid is 13 ft. The area of the smaller trapezoid is 240 ft² What is the area of the larger trapezoid?
We solve the above question using proportion
(Longer base/Area of trapezoid) smaller trapezoid = (Longer base/Area of trapezoid) bigger trapezoid
Let the the Area of the bigger trapezoid = x
Hence,
= 8ft/240ft = 13ft/x ft
Cross Multiply
8ft × x = 240ft × 13ft
x = 240ft² × 12 ft/8 ft
x = 390 ft²
If the sum of n term of an ap is sn = 3n^2+5n writ its common difference
In the given arithmetic progression Common difference is 14.
what is an arithmetic progression?An arithmetic progression is a set of integers with a fixed difference between any two succeeding numbers (A.P.).
Given, the n term of ap is Sₙ = 3n² + 5n
Where n is the number of terms
S₁ = 3* 1 + 5*1
S₁ = 8
S₂ = 3 * 4 + 5*2
S₂ = 22
common difference = 22-8
Common difference = 14
therefore, the Common difference in the given AP is 14.
Learn more about arithmetic progression here:
https://brainly.com/question/14320206
#SPJ1
Which transformation produces another triangle that has the same area as the one shown
A reflection in the line y = -2 and then translation of 2 units right will create the same area so option (C) will be correct.
How to plot a graph?f we shift the triangle anywhere then there will be no change in the area but if we apply the scale factor then since the dimension changes so its area will also change.
In all options, there is a scale factor so it will change area but in option C
A reflection in the line y = -2 reflection gives a mirror image about y = -2 but no changes in area then translation of 2 units right will shift triangle 2 units right but no effect in the area.
Hence "A reflection in the line y = -2 and then translation of 2 units right will create the same area".
To know more about graph of function, check out:
https://brainly.com/question/24335034
#SPJ1
PLEASE HELP ANSWER PLEASE
Answer:
c. 7i
Step-by-step explanation:
it has to be an imaginary number
What is the coefficient of y2 in 9xy2z?
The coefficient of y2 in 9xy2z is 9xy.
In mathematics, a coefficient is any integer or symbol that multiplies the variable of a single term or the terms of a polynomial to represent a constant value. It is typically a number, however, in other expressions, a letter might be used instead. In the formula: ax2 + bx + c, for instance, x is the variable and a and b are the coefficients.
A coefficient is what?
A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it. It is assumed that the variables with no associated number have a coefficient of 1.
coefficient of y 2 in 9x(y 2 )z is 9xy.
To know more about Coefficient at:
brainly.com/question/27481600
#SPJ4
How do you find Y1 and y2 on a graph?
The formula for finding slope from two points (x₁, y₁) and (x₂, y₂) on a line is m = (y₂ - y₁) / (x₂ - x₁).
Now, According to the question:
Finding Slope From Two Points Formula
The formula for finding slope from two points (x₁, y₁) and (x₂, y₂) on a line is m = (y₂ - y₁) / (x₂ - x₁). Here,
m = slope of the line
x₁ = the x-coordinate of the first point
y₁ = the y-coordinate of the first point
x₂ = the x-coordinate of the second point
y₂ = the x-coordinate of the second point
Then rise from A to B = y₂ - y₁
Run from A to B = x₂ - x₁
Then the slope, m = rise/run = (y₂ - y₁) / (x₂ - x₁)
Hence, we derived the slope formula.
Here are the steps to find the slope of a line given two points on it.
In the first point, denote the x coordinate with x₁ and denote the y-coordinate with y₁.In the second point, denote the x coordinate with x₂ and denote the y-coordinate with y₂.Find the differences y₂ - y₁ and x₂ - x₁.Divide the difference of y-coordinates by the difference of x-coordinates to find the slope (m). i.e., m = (y₂ - y₁) / (x₂ - x₁).Learn more about Slope at:
https://brainly.com/question/3605446
#SPJ4
PLEASE HELP ME 3 friends are camping in the woods, Bert, Ernie and Elmo. They each have their own
tent and the tents are set up in a Triangle. Bert and Ernie are 1 Om apart. The angle
formed at Bert is 30°. The angle formed at Elmo is 105º. How far apart are Ernie and
Elmo?
A.)4 m
B.)5 m
C.)8 m
D.)7 m
The distance between Ernie and Elmo is 20.38 feet.
Consider the distance between Ernie and Elmo be x
What is a law of sine?Law of sines is a formula relating the length of the sides of a triangle to the angles of the triangle.
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]
The Sine rule is used to solve angles and sides of triangle.
If a triangle ABC has angles A, B and C at the vertices of the triangles with the sides facing each of these angles tagged a, b and c respectively, the sine rule is;
Given parameters;
A = 30°
a = x = ?
B = 105°
b = 12 m
Therefore, [tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b}[/tex]
0.5/ x = 0.9659 / 12
Cross multiplication;
0.9659x = (12) (0.5)
0.9659x = 6
Divide both sides by 0.9659;
(0.9659x/0.9659) = (6/0.9659)
x = 6.21 m
Since 1 m = 3.281 ft
Then;
6.21 m = (6.21) (3.281) = 20.38 ft
Hence, the distance between Ernie and Elmo is 20.38 feet.
Learn more about law of sines here:
https://brainly.com/question/17289163
#SPJ2
Four people each roll a fair die once. Quantity A: The probability that at least two people will roll the same number Quantity B: 70%
How likely something is to occur is known as its probability.Probability when die rolled 1st time is 6C1 i.e. (1,2,3,4,5,6).
Find the probability ?How likely something is to occur is known as its probability.We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out. Statistics describes the examination of events subject to probability.
Probability when die rolled 1st time=6C1 i.e. (1,2,3,4,5,6) suppose 1 comes, then 2nd time it should not be .as it is given that no 2 people will roll same number.
so 2nd time probability=5C1 i.e. (2,3,4,5,6). same way 3rd and 4th time probability=4C1 and 3C1 respectively.Probability that no one rolls the same no. = 6*5*4*3and total possibility =6^4
p(same number)= 6*5*4*3/ 6^4
= 5/18
p(no same number will roll)=1-5/18
=13/18
To learn more about probability refer
https://brainly.com/question/25870256
#SPJ4
Dev has a rectangular garden in his backyard. The length is 2 feet greater than twice the width.
A. Write an equation to determine the perimeter of the garden.
B. What is the perimeter of Dev’s garden if the width is 5 feet?
Answer:
Step-by-step explanation:
L = 2W + 2 (length is 2 ft greater than twice the width)
A. The perimeter of the garden is P = 2L + 2W, which here is:
P = 2(2W + 2) + 2W, or P = 4W + 4 + 2W, or P = 6W + 4
B. If W = 5 ft, then P = 6(5 ft) + 4 ft = 34 ft
For the coordinate (0,-3) the translation would be down 3.
A: True
B: False
Determine the vertical distance and the horizontal distance of point P and point Q. (a) P=4m Q=6m.
if you dog like something
If x = 3 and y = -4, evaluate:2x2 – 5xy + y
Remember to show your work separately to be submitted in dropbox.
Answer:
[tex]74[/tex]
Step-by-step explanation:
[tex]2 {x}^{2} - 5xy + y \\ 2 \times {3}^{2} - 5 \times 3 \times - 4 + ( - 4) \\ 2 \times 9 - 15 \times - 4 - 4 \\ 18 + 60 - 4 \\ 78 - 4 \\ = 74[/tex]
Hope this helps you.
Can I have the brainliest please?
have a nice day!
Answer:
74
Step-by-step explanation:
2x² - 5xy + y
Substitute x and y into the equation.
2(3)² - 5(3)(-4) + (-4)
Square the three.
2(9) - 5(3)(-4) + (-4)
Multiply the 2 and the 9.
18 - 5(3)(-4) + (-4)
Multiply 3 and -4.
18 - 5(-12) + (-4)
Multiply -5 and -12.
18 + 60 + (-4)
Add 18 and 60.
78 + (-4)
or
78 - 4
Subtract
74
Imagine you have a wood block that is 4 cm wide, 4 cm long, and 8 cm high. It
weights 200 grams.
What is the volume of the block? Be sure to include the units.
Then, imagine that you are cutting the block into 2 exactly equal halves. What is the
volume of one of the pieces (including the units)? How does its volume compare to
that of the original block?
The way that the new volume compares to the original volume of the block is that the new volume is half of the original volume.
How to find the volume of the block?The volume of a rectangular block is gotten from the formula;
Volume = length * width * height
Now, we are given;
Width = 4 cm
Length = 4 cm
Height = 8 cm
Thus;
Volume of block = 4 * 4 * 8
= 128 cm³
Now, if you are cutting the block into 2 exactly equal halves, then you can say that;
New length = 4/2 = 2cm
Thus;
Volume of cut block = 2 * 4 * 8
= 64 cm²
This is concluded to be half of the original block.
Read more about Volume of block at; https://brainly.com/question/1271885
#SPJ1
On a coordinate plane, a line is drawn from point R to point Q. Point R is at (4, negative 1), and point Q is at (negative 5, 3). What are the coordinates of point P on the directed line segment from R to Q such that P is the length of the line segment from R to Q
The coordinate points of the point P is (-3.5, 2.3).
What is a coordinate plane?
Two number lines combine to form a two-dimensional surface known as a coordinate plane. It is created when the origin, a point where the X- and Y-axes coincide, is crossed by a horizontal line.
The ratio in which the point 'P' divides the line segment RQ is -
a:b = 5:1
The coordinates of the end-points of line segment RQ are -
R(4, -1) and Q(-5, 3).
The coordinates of the point H are obtained when a point H divides a line segment with end points (p, q) and (s, t) in the ratio a:b -
H = [(as + bp)/(a + b)], [(at + bq)/(a + b)]
H = [(5*-5 + 1*4)/(5 + 1)], [(5*3 + 1*-1)/(5 + 1)]
H = (-21/6, 14/6)
H = (-3.5, 2.3)
Therefore, the coordinate points are obtained as H = (-3.5, 2.3).
To learn more about coordinate plane from the given link
https://brainly.com/question/13854649
#SPJ4
What is $2.63 in cents
Answer:
263 cents
Step-by-step explanation:
Answer:
263¢
Step-by-step explanation:
7. Plumber A charges $60 an hour. Plumber B charges $40 to visit your home plus $55 for each
hour. For how many hours will the total cost for each plumber be the same? How much will that
cost be? If a customer thinks they will need a plumber for 5 hours, which plumber should the
customer hire? Explain.
The total cost will be $480.
What is an Equations?
Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) symbol. It demonstrates how the expressions written on the left and right sides are equivalent. Equations can be solved to find the value of a variable that represents an unknown quantity. If there is no "equal to" symbol in a sentence, it is not an equation. It will be viewed as a phrase.
There should be two equations
For Plumber A = 60x
For Plumber B = 40 + 55x
Now in order to consider the cost to be the same we equate these two equations
60x = 40 + 55x
5x = 40
x = 8 hours
And, the total cost for plumber B is
= 40 + 55(8)
= 480
Hence, The total cost will be $480.
Learn more about equations, by the following link
brainly.com/question/2972832
#SPJ4
*I WILL GIVE BRAINLIEST
A circle has a circumference of 5 meters. What is the circle's radius?
Use 3.14 for pi and round your answer to the nearest tenth.
Answer:
31.4
Step-by-step explanation:
5 x 2 x 3.14 (pi) = 31.4 rounded.
A submarine must descend at an average rate of at least 12 feet per minute for 5 minutes. The table shows how many feet the submarine descends
in the first 4 minutes. How many feet must the submarine descend in the fifth minute?
Answer:
Submarine must descend by 12 feet in the fifth minute.Average of the data:Average of a data set is calculated by dividing the sum of terms by the number of the terms of the set.From the table given in picture,Let the distance descended by submarine in 5th minute = x feetAverage distance descended by the submarine = = = feet per minuteStatement given in the question → "Submarine must descend at an average rate of at least 10 feet per minute"So the inequality for the statement will be,38 + x ≥ 50x ≥ 50 - 38x ≥ 12 Therefore, submarine must descend 12 feet in the 5th minute.
Step-by-step explanation:
Please help!! I have 10 minutes left!!
1. 110
2. 20
3. 15? IM NOT SURE
Select the correct answer from the drop-down menu. A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number. From the set {13, 14, 15, 16, 17}, the values of x for which the inequality holds true are .
Answer:
[tex]x = \{13,14\}[/tex]
Step-by-step explanation:
Given
[tex]x + 2x + 6 < 50[/tex]
Required
True values of x
We have:
[tex]x + 2x + 6 < 50\\[/tex]
[tex]3x + 6 < 50[/tex]
Collect like terms
[tex]3x < 50-6[/tex]
[tex]3x < 44[/tex]
Divide both sides by 3
[tex]x < 44/3[/tex]
[tex]x < 14.67[/tex]
This means that x has a value lesser than 14.67.
Hence, the valid values are:
[tex]x = \{13,14\}[/tex]
Answer: (13,14)
Step-by-step explanation:
whats 9- 3x=1+x
i need help
Answer:
9-2x=1
-2x=-8
x=4
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
-3x-x=1-9
-4x=-8
x=-8/-4
x=2
plz mark as brainliest
Make t the subject of n*2
After making the subject of [tex]$n^2=4 \mathrm{~d}+t^3 / t^3$[/tex] could be [tex]$\mathrm{t}=\sqrt[3]{4 d / n 2-1}$[/tex]
What is expression ?An expression is a combination of symbols, such as numbers and operators, that represent a computation or a value. Expressions can be used to perform calculations, assign values to variables, and control the flow of a program. They are a fundamental concept in computer programming.
What is simplification?Simplification is the process of making an expression or equation simpler, while still maintaining its meaning or function. This can be done by combining like terms, combining or removing unnecessary elements, or applying mathematical rules or identities.
For example, in algebra, simplifying an expression might involve combining the coefficients of similar terms (such as 2x + 3x = 5x), or factoring out a common factor from multiple terms (such as 2x^2 + 4x = 2x(x+2)).
Glven expression,
[tex]$$\begin{aligned}& n^2=4 \mathrm{~d}+t^3 / t^3 \\& n^2=4 \mathrm{~d} / t^3+t^3 / t^3 \\& n^2=4 \mathrm{~d} / t^3+1 \\& n^2-1=4 \mathrm{~d} / t^3 \\& t^3=4 \mathrm{~d} / n^2-1 \\& \mathbf{t}=\sqrt[3]{4 d / n 2-1}\end{aligned}$$[/tex]
Hence after making [tex]$\mathbf{t}$[/tex] the subject of[tex]$n^2=4 \mathrm{~d}+t^3 / t^3$[/tex] could be
[tex]$$\mathrm{t}=\sqrt[3]{4 d / n 2-1}$$[/tex]
To learn more about expression visit:
https://brainly.com/question/14083225
#SPJ1
Help please
Determine the sum of the measures of the interior angles of a dodecagon (12-sided polygon).
540°
360°
1,800°
2,160°
Answer:
Below
Step-by-step explanation:
Formula for sum of interior angles of a n - gon
(n-2) * 180
for this 12 sided 'gon
(12-2) * 180 = 1800°
( and for a 'regular' dodecagon each would be 1800/12 = 150°
Answer:
Option C) 1,800°
Step-by-step explanation:
To Find : Interior Angles of a Decagon
In order to find interior angles of any polygon we usually use the formula
(n-2)x180
Over Here it is a 12 sided polygon
So,
(12-2)x180
10x180
1800
Hence the interior angles of a decagon is 1800°
Solve the system. 3x+y = 10 y = 6x+1 Enter your answer by filling in the blanks. The solution is (/,/)
The estimated solution of the system 3x + y = 10 and y = 6x + 1 is (1, 7)
What is an equation?An equation is used to show the relationship between numbers and variables.
The standard form of a linear equation graph is:
y = mx + b
Where m is the slope of the line and b is the y intercept.
Given the linear equation:
3x + y = 10
y = -3x + 10 (1)
y = 6x + 1 (2)
Subtracting equation 2 from 1 to solve using elimination method gives:
0 = -9x + 9
9x = 9
x = 1
put x = 1 in eqn 2:
y = 6(1) + 1
y = 7
The solution is (1, 7)
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
The UTM coordinates of Enchanted Rock State Natural Area in Fredericksburg, Texas, are 517266.07 E, 3374884.58 N, Zone 14R. How far is it from the zone's central meridian
Enchanted Rock State Natural Area is located at latitude 30.506130 and longitude -98.820064. The geographic coordinates of Enchanted Rock State Natural Area in Fredericksburg, United States, are 30° 30' 22.068" N and 98° 49' 12.2304" W. Enchanted Rock State Natural Area falls under the Mysterious Sites category.
Where can measurements be made using the WGS84 datum?The standard datum used by default for GPS devices used for commercial and recreational purposes is WGS84. GPS users are advised to always verify the datum of the maps they are utilising.
What datum does US Navstar GPS employ?WGS 84, also known as the datum, is now in use by US forces.
To know more about latitude visit:-
brainly.com/question/12180926
#SPJ4
Gloria bought a coat through a payment plan. The coat was $75 and her payments were $15 each. What percent of the totalcost are the payments?
A. 15%
B. 20%
C. 25%
D.30%
please help with this!! (No links will be reported)
Answer:
9
Step-by-step explanation:
9 is the only number that is far away from the rest of the number of cakes sold
The temperature of a heat-producing chemical reaction is directly proportional to the square of the time elapsed. The reaction started at 0 degrees
If there is a 50-50 chance of the Sneakers winning today's game, what are the chances that they win their next gam~
Solving the question asked, we can say: If you win tonight, your odds of winning the next game are [tex]$58.33\%$[/tex]. After that, if you lose, you have a [tex]$38.88 \%$[/tex] chance of winning the game.
What is probability?Probability theory is a branch of mathematics that measures the probability that an event or statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating that the event is unlikely and 1 indicating that it is certain. Probability is a numerical representation of the disease that a particular event will occur. Another way to express probability is as a percentage from 0% to 100% or 0 to 1. Proportion of occurrences in the complete set of equally likely possibilities leading to a particular occurrence compared to the total number of outcomes.
[tex]$$\begin{aligned}& (2 / 3+1 / 2) / 2=X \\& 1,666 / 2=X \\& 0.58333=X \\& ((2 / 3+1 / 2 / 2) x 2 / 3=X \\& 0.58333 x 0.666=X .3888=X\end{aligned}$$[/tex]
To know more about probability visit:
brainly.com/question/11234923
#SPJ4
What is the ratio of sin t?
Sine of an angle is defined as the ratio of the side opposite (perpendicular side) to that angle divided by hypotenuse of the triangle.
sin is a trigonometric ratio.
If θ is one of the acute angles in a triangle, then the sine of theta is the ratio of the opposite side to the hypotenuse.
sin Q = perpendicular / hypotenuse.
sin Q is the base of the trigonometry ratios and it is one of the ratio.
sine is an acute angle.
some formula of sine angle are ,
1- sine Q = 1/ cosec Q .
2- sin ^2 Q = 1- cos^2 Q .
Learn more about Trigonometry here:-
brainly.com/question/29002217
#SPJ4