Using the combination formula, it is found that the probability that the ticket i hold has the winning numbers is:
[tex]p = \frac{1}{29,322,216}[/tex].
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
For the winnerballs, 5 balls are taken from a set of 44, hence:
[tex]C_{44,5} = \frac{44!}{5!39!} = 1086008[/tex]
Considering the numbered balls, the number of outcomes is given by:
N = 27 x 1086008 = 29,322,216.
Hence the probability is given by:
[tex]p = \frac{1}{29,322,216}[/tex].
More can be learned about the combination formula at https://brainly.com/question/25821700
#SPJ1
Given: AC and BD are parallel. BX and CY are parallel. AX = DY.
Prove: AYC is congruent to DXB
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Using the ASA congruency the triangles are congruent.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
For the two of the given triangles ΔACY and ΔDXB,
∠A = ∠D {Alternate Interior Angles}∠DXB = ∠ACY {Alternate Interior Angles}AY = YD ⇒ (AX + XY) = (DY + XY) {Given AX=DY}Since the measure of the two angles and one side of the two triangles are equal, therefore, using the ASA congruency the triangles are congruent.
Learn more about Triangle:
https://brainly.com/question/2773823
#SPJ1
Write down seven multiplications with an answer of -20
Answer:
-10 x 2
10 x -2
5 x -4
4 x -5
20 x -1
-20 x 1
2 x 2 x -5
Step-by-step explanation:
Answer:
-1 x 20= -20
-20 x 1 = -20
-5 x 4= -20
-4 x 5= -20
-2 x 10= -20
-10 x 2= -20
-2 x 2 x 5 = -20
Step-by-step explanation:
use factors of 20
hope this hepled :)
been having this question for a while and this app wont help
The answer is B
When there is a solid point that means it is included in the graph, so you'd use a greater/less than or equal to symbol (the one with a line under). If it's an unfilled point then it means that it is not included in the graph, so you'd use a greater/less than sign.
The x² equation is less than 2 while the linear equation is greater than or equal to 2.
We know it's the x² equation that is less than two because it has a curve in it.
if the area of an isosceles triangle 56 units squared and the base is one third of the height what is the perimeter
The perimeter of the given isosceles triangle is; 725.77 units
How to find the area of a Triangle?We are given;
Area of Isosceles Triangle = 56 units squared
Base of Isosceles Triangle = ¹/₃h where h is height
Formula for area of triangle is;
A = ¹/₂bh
A = ¹/₂ * ¹/₃h * h
A = ¹/₆h²
Thus;
¹/₆h² = 56
h² = 56 * 6
h = √336 = 18.33
Thus, base = ¹/₃√336
Length of hypotenuse = √((√336)² + (¹/₃√336)²)
Length of hypotenuse = √(336 + (336/9))
Length of hypotenuse = 373.33
Thus, Perimeter of Triangle = 2(373.33) + ¹/₃(√336)
Perimeter = 725.77 units
Read more about Triangle Area at; https://brainly.com/question/17335144
#SPJ1
Please help me asap 5/11
By applying concepts related to matrices and their dimensions, the element of the matrix that belongs to the 2nd row and 3rd column is 6.
How to determine the content associated to the index of a matrix
Matrices are constructions studied by linear algebra, are a particular case of tensors. This kind of constructions are characterized by two dimensions: (i) Number of rows - Horizontal rows, (ii) Number of columns - Vertical rows.
Each element of an matrix A has an associated index with the following form:
[tex]a_{i,j}[/tex]
Whose meaning is "element of the matrix A that belongs to the i-th row and j-th column".
In this case, we find that the element of the matrix that belongs to the 2nd row and 3rd column is 6.
To learn more on matrices: https://brainly.com/question/11367104
#SPJ1
Which phrase best describes the relationship indicated by the scatter plot?
OA constant correlation
B. negative correlation
C. positive correlation
D. no correlation
Phrase D best describes the relationship indicated by the scatter plot. There is no correlation.
What is a scatter plot?In an effort to demonstrate how much one variable is influenced by another, scatter plots are used to depict data points on a horizontal and vertical axis.
When there is no connection between two variables, it is called a zero correlation. For instance, there is no correlation between IQ level and the quantity of tea consumed.
Phrase D best describes the relationship indicated by the scatter plot. There is no correlation.
Hence option D is correct.
To learn more about the scatterplot refer to:
https://brainly.com/question/13984412
#SPJ1
Answer:
no correlation
Step-by-step explanation:
Split 120 into the ratio
2:3
Answer:
48 : 72
Step-by-step explanation:
The school basketball team has 15 players. Seven players are more than 74 inches tall, 6 players are taking honors classes, and 5 players are
both more than 74 Inches tall and taking honors classes.
If 2 players are randomly selected from the team, what is the probability that both players are more than 74 Inches tall or taking honors classes?
O A.
64
225
O B.
Oc.
O D
169
225
Answer:
A
Step-by-step explanation:
64
The radius of a circle is 7 kilometres. What is the length of a 90° arc?
Answer:
Step-by-step explanation:
What IS the slope of a line that is perpendicular to the line y= --x + 5?
• -2
-1/2
1/2
• 2
Let k: y = a₁x + b₁ and l: y = a₂x + b₂. Then
k ║ l ⇔ a₁ = a₂k ⊥ l ⇔ a₁ · a₂ = -1We have the line y = -x + 5 ⇒ a₁ = -1.
Therefore
a₂ · (-1) = -1
-a₂ = -1 Ichange the signs
a₂ = 1Select the correct answer.
Which expression is equivalent to √48x5, if x > 0?
OA. 12x³√3x
B. 4x³√3
OC. 4x²√3x
OD. 12x²√
Answer: C
Step-by-step explanation:
[tex]\sqrt{48x^{5}}=\sqrt{16x^{4}} \sqrt{3x}=\boxed{4x^{2}\sqrt{3x}}[/tex]
In the Fig., if ABCD is a parallelogram, then the value of x is
Answer:
Value of x is 20.
Step-by-step explanation:
The angle opposite to 4x is also 4x.
Similarly, the angle opposite to 5x is also 5x.
So, 4x+4x+5x+5x=360
18x=360
x=360/18
x=20
Please give me brainlist.
I forgot what multiples are bc I was on vacation and I forgot lots of things I learned
I'm usually smarter
Answer:
C. 6
Step-by-step explanation:
6*1=6
6*3=18
6*4=24
6*7=42
Hope this helps!
If not, I am sorry.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answer:
c = 37 mi
Step-by-step explanation:
Pythagorean theorem:To find 'c' use Pythagorean theorem.
[tex]\sf \boxed{\bf hypotenuse^2 = base^2 + altitude^2}[/tex]
c² = 35² + 12²
=1225 + 144
= 1369
[tex]\sf c = \sqrt{1369}\\\\ c = \sqrt{37*37}\\\\ \boxed{\bf c = 37 \ mi}[/tex]
The speed of the current in a certain stream is 6 mph. If a boat travels 94 miles
downstream in the same time that it takes to travel 47 miles upstream, which best
describes the speed of the boat in still water?
The speed of the boat in still water is 18 mph.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
We know distance = speed×time.
Therefore, time = distance/speed.
Let, The speed of the boat at still water be 'x'.
Therefore, From the information,
94/(x + 6) = 47/(x - 6).
94(x - 6) = 47(x + 6).
94x - 564 = 47x 282.
47x = 846.
x = 18.
So, The speed of the boat is 18 mph in still water.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
Explain what the result of your proof tells you about angles a and b. Specifically, if you measured one angle, what would you know about the other? (2 points)
If the measure of one of the angles ∠a or ∠b is known, then the other angle is given by subtracting the known angle from 180°
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
The required two-column proof is presented as follows;
Statement Reason
∠1 and ∠a are linear pair angles Given
∠1 + ∠a = 180° Linear pair ∠s are supplementary
∠2 and ∠b are linear pair angles Given
∠2 + ∠b = 180° Linear pair ∠s are supplementary
∠a and ∠b are consecutive interior ∠s Definition
x║y Given
∠1 and ∠b are corresponding angles Definition
∠1 ≅ ∠b Corr. ∠s formed between║ lines
∠1 = ∠b Definition of congruency
∠a + ∠b = 180° Substitution property
∠a and ∠b are supplementary Definition
We can conclude from the proof that given ∠1 and ∠b are located in corresponding locations relative to the common transversal of the parallel lines, they (∠1 and ∠b) are equal.
Therefore, the sum of ∠a and ∠b is 180°, given that the sum of ∠1 and ∠a is 180° by substitution property of equality. So, ∠a and ∠b are supplementary angles.
Therefore, If the measure of one of the angles ∠a or ∠b is known, then the other angle is given by subtracting the known angle from 180°
Learn more about supplementary angles here:
https://brainly.com/question/2882938
#SPJ1
© On Wednesday, Simran walked from home to the train station.
On Thursday, Simran took the bus from home to the train station.
The distance-time graphs show Simran's journey on Wednesday and Thursday.
How many minutes less was her total journey time on Thursday than on Wednesday? Need answer ASAP!
Simran's Journey was 35 minutes less on Thursday as compared to Wednesday
What is a Distance - Time Graph ?Distance Time graph is the relationship between the distance travelled in the respective time on the x axis.
Two distance time graph is given
The Wednesday graph shows the time taken by Simran is
Total Time = 40 minutes
and
The Thursday graph shows the time taken by Simran is
Total Time = 5 minutes
Therefore Simran's Journey was 40-5 , 35 minutes less on Thursday as compared to Wednesday
To know more about Distance - Time Graph
https://brainly.com/question/13269893
#SPJ1
If the line segment joining the points A(4, − 5) and B(4, 5) is divided by the point P such that AP/PB = 2/5. find the co-ordinates of P.
Answer:
Step-by-step explanation:
0P=OA+AP
=OA+2/5(AB)
=(4,-5)+2/5(0,10)
=(4,-5)+(0,4)
=(4,-1)
therefore P(4,-1)
Complete the flow chart to prove 3 is congruent to 4
The flow chart is complete and the answers are given below.
What is meaning of Congruent Figures ?Those figures that have same shape and size are called Congruent Figures.
The flow diagram will be completed as follows
∠2 ≅ ∠4 ( vertical angle theorem )
∠1 ≅ ∠2 ( Given )
∠1 ≅ ∠ 3 ( Vertical Angle Theorem)
∠3 ≅ ∠4 ( Transitive Property of congruence)
To know more about Congruent Figures
https://brainly.com/question/12132062
#SPJ1
what is the product of (3a^2b^7)(5a^3b^8)
Answer:
when multiply with exponents you add so
(3a^2b^7)(5a^3b^8)=15a^5b^13
Hope This Helps!!!
Use the scatter plot to answer the question. The points in the scatter plot generally increase upward to the right. © 2018 StrongMind. Created using GeoGebra.
Which type of linear correlation is present in the scatter plot?
positive
neutral
negative
strong
The positive linear correlation is present in the scatter plot option first “positive” is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\[/tex]
[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have given a scatter plot in the picture.
As we can see in the scatter plot the dots are not so close that the correlation between x and y will be weak.
If we draw a line of best fit the slope of the line will be positive, the correlation will be positive.
Thus, the positive linear correlation is present in the scatter plot option first “positive” is correct.
Learn more about the line of best fit here:
brainly.com/question/14279419
#SPJ1
solve this question - one half x - 18 = 2
Answer:
x=10
Step-by-step explanation:
Use a Maclaurin series derived in this section to obtain the Maclaurin series for the given functions. Enter the first 3 non-zero terms only.
f(x) = cos(5x2) =______+...
f(x) = sin(-pix) =______+...
f(x) = xtan-1(5x) =_____+...
f(x) = x2e-x/2 =______+...
1. Due Now: Brittany's Builders has 20 leftover bricks. Some are red and some are white. For
each white brick, Brittany has 3 red bricks. How many of the bricks are red and how
many are white?
88
Not sure how to explain
its 5 white and 15 red
to collect data about the amont of time spent
Answer:
Probably the first one because the other two questions would be un-reliable
Step-by-step explanation:
Jim began a 145 mile bicycle trip to build up stamina for a triathlon competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 7 hours. If Jim walks at a rate of 4 miles per hour and rides at 30 miles per hour, find the amount of time he spent on the bicycle.
Answer:
The amount of time he spent on the bicycle using substitution method is 4.5 hours .
Step-by-step explanation:
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
A linear equation is defined as an equation that is written in the form of Ax+By=C. It is the combination of two variables and a constant value present in them.
The first step in the substitution method is to find the value of any one of the variables from one equation in terms of the other variable.
Let the total time taken to complete the race by bicycle be x
Let the total time taken to complete the race by walking be y
We know,
Speed=Distance/Time
4y+30x=145
x+y=7
Using the substitution method ,
x=7-y
4y+30(7-y)=145
4y+210-30y=145
210-145=26y
y=65/26
y=2.5
So, the amount of time he spent on bicycle is x
x=7-y
x=7-2.5
x=4.5 hours
Learn more about substitution method : https://brainly.com/question/22340165
#SPJ10
The cost of the toy is expressed by the function y = 3x + 5, where x is the number of toys. If Peter bought 8 toys, find the cost of the toys.
Answer:
$29
Step-by-step explanation:
Substitute x with 8.
3(8) + 5 = 24+5 = 29
Answer: $29
Step-by-step explanation:
x = # toys
if the number of toys is 8
substitute 8 into x
y = 3(8) + 5
y = 24 + 5
y = 29
if point (4, 5) is on the graph of a function, which equation must be true?
f(5)=4
f(5,4)=9
f(4)=5
f(5,4)=1
Answer:
f(4) = 5
Step-by-step explanation:
The notation used for a point is (x,y). The first number is the x and the second number is the y.
In function notation, you have f(x) = y.
The input number, x, is in the parenthesis beside the f. The output, y is all by itself on the other side of the equal sign.
For the point (4,5), 4 is the x so it goes by the f. 5 is the y so it goes by itself on the other side of the equal sign.
f(4) = 5
The solution is : f(4) = 5, the equation must be true.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
The notation used for a point is (x,y).
The first number is the x and the second number is the y.
In function notation, you have f(x) = y.
The input number, x, is in the parenthesis beside the f. The output, y is all by itself on the other side of the equal sign.
For the point (4,5), 4 is the x so it goes by the f.
5 is the y so it goes by itself on the other side of the equal sign.
f(4) = 5
Hence, The solution is : f(4) = 5, the equation must be true.
To learn more on equation click:
brainly.com/question/24169758
#SPJ5
help please ive tried with my friends and no luck
Answer:
[tex]a=5 \sqrt{7}[/tex]
Step-by-step explanation:
Pythagoras Theorem explains the relationship between the three sides of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the legs of a right triangle:
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangleGiven:
b = 9c = 16Substitute the given values into the formula and solve for a:
[tex]\begin{aligned}a^2+b^2 & = c^2 \\\implies a^2+9^2 & =16^2\\a^2+81 & =256\\a^2+81-81 & =256-81\\a^2 & =175\\\sqrt{a^2} & =\sqrt{175}\\a & =\sqrt{25 \cdot 7}\\& = \sqrt{25}\sqrt{7}\\& =5\sqrt{7}\end{aligned}[/tex]
Therefore, the measure of the third side of the given right triangle is [tex]5 \sqrt{7}[/tex]
Learn more about Pythagoras Theorem here:
https://brainly.com/question/26954703
https://brainly.com/question/27707750
The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown.
What is the greatest possible whole-number value of the congruent side lengths?
The unknown side length will be 14 cm if the longest side of an isosceles obtuse triangle measures 20 centimeters option third 14 is correct.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
The question is incomplete.
The complete question is:
The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown. What is the greatest possible whole-number value of the congruent side lengths?
9 cm
10 cm
14 cm
15 cm
We have:
The longest side of an isosceles obtuse triangle measures 20 centimeters.
Let's assume the unknown side length is x:
In the isosceles obtuse triangle, two sides are congruent.
As we know the sum of the two sides in a triangle is greater than the third side length:
x + x > 20
2x > 20
x > 10
a² + b² < c²
14 will satisfy the above two inequaility.
Thus, the unknown side length will be 14 cm if the longest side of an isosceles obtuse triangle measures 20 centimeters option third 14 is correct.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ1
