The probability that Roger wins a tennis tournament (event A) is 0.45, and the probability that Stephan wins the tournament (event 8) is
0.40. The probability of Roger winning the tournament, given that Stephan wins, is O. The probability of Stephan winning the tournament.
given that Roger wins, is 0. Given this information, which statement is true?
O A
Events A and Bare not independent because P(AB) # PA)
The true statement is that C. Events A and B are not independent because P(A|B) ≠ P(A).
How to illustrate the information?The probability that Roger wins a tennis tournament (event A) is 0.45 i.e. P(A)=0.45
The probability that Stephan wins the tournament (event B) is 0.40 i.e. P(B)=0.40
It should be noted that if A and are independent events, then P(B|A) = P(B). This isn't possible in this situation.
Therefore, the true statement is that events A and B are not independent because P(A|B) ≠ P(A).
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The probability that Roger wins a tennis tournament (event A) is 0.45, and the probability that Stephan wins the tournament (event B) is 0.40. The probability of Roger winning the tournament, given that Stephan wins, is 0. The probability of Stephan winning the tournament, given that Roger wins, is 0. Given this information, which statement is true?
1.Events A and B are independent because P(A|B) = P(A).
2.Events A and B are independent because P(A|B) ≠ P(A).
3. Events A and B are not independent because P(A|B) ≠ P(A).
4. Events A and B are not independent because P(A|B) = P(A).
(-3, 4) and (2, 1)
Find the slope of the line passing through the given po
Answer:
is it -3/5
hope that can help
Answer:
[tex]\boxed {\boxed {\sf m= - \frac{3}{5} }}[/tex]
Step-by-step explanation:
Slope can be found by dividing the change in y by the change in x.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are the points the line passes through.
The points we are given are:
[tex](-3,4 ) \ and \ (2,1)[/tex]
Therefore,
[tex]x_1=-3 \\y_1= 4 \\x_2= 2\\y_2=1[/tex]
Substitute the values into the formula.
[tex]m=\frac{1-4}{2--3}[/tex]
Solve the numerator.
1-4= -3[tex]m= \frac{-3}{2--3}[/tex]
Solve the denominator.
2--3 (two negatives become a positive) = 2+3=5[tex]m= \frac{-3}{5}[/tex]
This fraction cannot be simplified further, so this is the slope.
The slope of the line is -3/5
i need help on this question someone pls help
Answer:
3.2
Step-by-step explanation:
Find the gcf of the following numbers using continuous division. Write ur answer
1.) 24 and 72
3.) 24,32 and 48
2.) 18,27 and 45
4.) 24 and 36
Pls answer I need it thank you!
Answer:
Step-by-step explanation:
The continuous division method is an effective method to determine the GCF of two or more numbers, aside from the listing method where we are listing down the common factors before determining the greatest among them.
In continuous division, we are just simply dividing the numbers by their common factors until such time that we find no more common factors except for 1 to them to be divided. After which, we will just multiply the common factors that we used to divide them. The result will be our GCF. Let us try the exercise given above:
1. Find the GCF of 24 and 72
2 / 24 72
2 / 12 36
2 / 6 18
3 / 3 9
/ 1 3
Since we keep on dividing the numbers by 2 for 3 repetitions, we arrived at 3 and 9 by which we divide by 3 and we get 1 and 3 which we can no longer divide. So the GCF is: 2x2x2x3 = 24
Therefore, the GCF of 24 and 72 is 24.
2. Find the GCF of 24, 32 and 48
2 / 24 32 48
2 / 12 16 24
2 / 6 8 12
/ 3 4 6
So the GCF is: 2x2x2 = 8
Therefore, the GCF of 24, 32 and 48 is 8.
3. Find the GCF of 18, 27 and 45.
3 / 18 27 45
3 / 6 9 15
/ 2 3 5
So the GCF is: 3x3 = 9
Therefore, the GCF of 18, 27 and 45 is 9.
4. Find the GCF of 24 and 36.
2 / 24 36
2 / 12 18
3 / 6 9
/ 2 3
So the GCF is 2x2x3 = 12
Therefore, the GCF of 24 and 36 is 12.
Help please will give brainliest
8 5/12 divided by 1 3/4
^fractions lesson^
8 5/12 : 1 3/4
step 1:
(8 × 12 + 5)/12
=101/12
step 2:
(1 × 4 + 3)/4
=7/4
ok, enter:
101/12 : 7/4
=101/12 × 4/7
=404/84
=4 68/84
=4 17/21
The perimeter of a rectangle is 86cm.
Its shortest side has a length of 15cm.
State the length of the longest side
Answer:
The length of the longest side is 28cm
Step-by-step explanation:
Rectangles have two pairs of equal sides, this means that if one of the sides is 15cm, there will be another side with 15cm. So to solve the problem we should first add the length of both sides we have, which are 15cm and 15cm, and will equal 30cm. Then we subtract 30cm from the 86cm so we know what the length of the last two sides is equal to when added together, that will be 56cm. Remember, we know that these last two sides have equal lengths. This means all we have to do is divide 56cm by 2 which will equal 28cm. This means that the length of one of the longest sides is 28cm.
Hope this helped!
Absolute value of 7 is
Answer:
7,-7
Step-by-step explanation:
Absolute value means the distance from 0. Distance is not negative, so 7 and -7 are both 7 units from zero.
Triangle ABC is reflected across the x-axis and then translated right 12 units to form triangle A'B'C'
Answer:
T,F,T
Step-by-step explanation:
The length of sides and the angle measurements do not change in a rigid transformation. Reflections and translations are rigid transformation.
A health club down the street has an initial joining fee of $100, and then you pay $5 each time you visit the gym. if Calvin spends $195, how many times did he visit the gym?
Variable: Equation:
Solve (show all steps):
Answer:
19
Step-by-step explan
Multiply by 5 until you get to 95 :)
One week a student exercised 2 hours at school and 2/3 hour at home. If 1/4 of the student's total exercise came from playing basketball, how much time did the student spend playing basketball that week?
Answer:
The student played basketball for 40 minutes.
Step-by-step explanation:
Given that one week a student exercised for 2 hours at school and for 2/3 of an hour at home, it can be stated that the student exercised for 2 hours and 40 minutes (since 60 x 2/3 is equal to 40 ). Thus, in total the boy exercised for 160 minutes (2 x 60 + 40).
Now, since he spent 1/4 of that time playing basketball, the time spent doing this sport is determined through the following calculation:
160/4 = X
40 = X
Thus, the student played basketball for 40 minutes.
Answer: 4/9
Step-by-step explanation:
What is the product of 3/4 and -6/7
well if adding -3/28
if subtracting 1 17/28
if multiplying -19/14
alnd if dividing -7/8
the graph of y=x^2 +4x + 3 is shown
a) what are the coordinates of the turning point
b) what are the coordinates of the roots of the equation x^2+4x+3=0
Answer:
a) -2, -1
b) (-3,0) and (-1,0)
From the graph of the given equation
the coordinates of the turning point is [tex](-2,-1)[/tex]
The coordinates of the roots of the equation [tex]x^2+4x+3=0[/tex] are [tex](-3,0) \; and \;( -1,0)[/tex]
Given :
the graph of y=x^2 +4x + 3 is shown
The graph of [tex]y=x^2 +4x + 3[/tex] is attached below
From the graph we can see that , the vertex is (-2,-1)
The graph changes direction at the point (-2,-1)
so we can say that there is only one turning point at [tex](-2,-1)[/tex]
Now we find out the roots of the equation
roots are the points where the graph crosses or touches x axis
The graph crosses x axis at [tex]-3 \; and \; -1[/tex]
The coordinates of the roots of the equation [tex]x^2+4x+3=0[/tex] are [tex]-3 \; and \; -1[/tex]
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If you add the equations in system A we get 6x+7y=32, If we add the equations in system B we get 8x+8y=40. Explain why (3,2) is still a solution to both of these equations.
Step-by-step explanation:
(3,2) is the solution to both equations because if you substitute the the x and y values you get a true statement for example
6(3) + 7(2) =32
18 + 14 = 32
32=32
that is a true statement
you can do the same with system B
8(3) +8(2)=40
24 + 16 = 40
40 =40
which is a true statement
HELP ME HELP ME HELP ME HELP HELP MEEEE
Answer:
Infinatly many solutions
Step-by-step explanation:
mark me brainlyest
Answer:
i would say a or b but probably b
Step-by-step explanation:
Nicole has evaluation scores of 93, 88, 76. Her fourth evaluation will be averaged with her previous three scores
Answer:
Is there more to the question?
Step-by-step explanation:
Answer:
93
Step-by-step explanation:You need to understand that you're solving for the average, which you already know: 90. Since you know the values of the first three exams, and you know what your final value needs to be, just set up the problem like you would any time you're averaging something.
Which container holds the largest amount of soil
Rectangular prism H=1.5ft W=1.5ft I=3ft
Answer:A rectangular storage container with an open top is to have a volume of 18 cubic meters. The length of it's base is twice the width.: let x = the width of the base then 2x = the length of the base and h = height of the box: 2x^2 = the area of the base 2(2xh) = 4xh = area of the two vertical sides 2xh = area of the two other vertical sides then
Step-by-step explanation:
GIVING BRAINLIEST PLZ HELP !!!!!!!!!!!!!!!!!!!
A group of students wants to build a ramp to move boxes from the floor up to a stage. How can the students reduce the amount of effort needed to push the boxes up the ramp?
by making the ramp as long as possible
by making the ramp’s height and length equal
by building the ramp out of a lightweight material
by covering the ramp’s surface with a soft rubber mat
Answer:
Step-by-step explanation:
A. by making the ramp as long as possible
The students can reduce the effort needed to push the boxes up the ramp by making the ramp as long as possible.
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
The students can reduce the effort needed to push the boxes up the ramp by making the ramp as long as possible.
A longer ramp will have a more gradual slope, which requires less force to push the boxes up.
This is because the longer the ramp, the smaller the angle of inclination, and the easier it is to move objects up the ramp.
While making the ramp out of lightweight material and covering the ramp’s surface with a soft rubber mat may make moving the boxes up the ramp easier, these factors are not as significant as the ramp's length.
Additionally, making the ramp’s height and length equal could make it too steep, requiring more effort to push the boxes up.
Therefore, by making the ramp’s height and length equal, students can reduce the effort.
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Please I need some answers
Answer:
The problem was when the person did (-2-4) and got -4
Step-by-step explanation:
(-2-4) is -6 not -4
Solve the following equation algebraically: 3 x squared = 375 a. x almost-equals 49 b. x almost-equals plus-or-minus 49 c. x almost-equals 11.18 d. x almost-equals 11.18
The correct solution of the equation is,
⇒ x almost-equals 11.18.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The equation is,
⇒ 3x² = 375
Now, We can solve the equation as;
⇒ 3x² = 375
Divide by 3;
⇒ x² = 125
⇒ x = √125
⇒ x = 11.18
Thus, The value of x = 11.18
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When a number is multiplied by four and the
result is decreased by six, the final result is 10, what is this in a math problem???
Answer:
x*4-6=10
is a ecuation
x * 4 - 6 = 10
x * 4 = 16
x = 16/4
x = 4
Answer this question please
Answer:
[-13,∞)
Step-by-step explanation:
x ≥ -13
x ≥ -13
Convert the inequality to interval notation.
[-13,∞)
Help plsssssssssss number 3
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Think of a car. when you are going 15 miles an hour that means that every hour, you are crossing 15 miles. In this situation the dolphin is going 25 km for every hour. one hour would be 25, two hours would be 50 and so on.
What is the inequality
Answer:
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Step-by-step explanation:
7 - (3 + 5) + (- 3 + 6) / 3 x 5
Answer:
4
Step-by-step explanation:
7 - (3 + 5) + (- 3 + 6) / 3 x 5
7 - 8 + (-3 + 6) / 3 x 5
7 - 8 + 3 / 3 x 5
7 - 8 + 1 x 5
7 - 8 + 5
-1 + 5
4
A 10-inch television has a screen that is 6 inches high. How wide is the screen?
Fill in the blanks to find x
The value of x is 42
According to the question,
Given that,
Line AB is a straight line
m<AOB = 180°
a straight line angle is 180 °
All these angles is equal to angle AOB
m<AOE +m <EOF+ m <FOB=m<AOB
Now put the value of all the angles
we get the value of x
x +2x +34 +20 = 180
add x variable
3x + 54 = 180
3x = 126
x = 42
The value of x is 42
The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation. In this way, a pair of the linear equation gets transformed into one linear equation with only one variable, which can then easily be solved. Before moving to solve the linear equations using the substitution method, get an idea on what the algebraic method and graphical method is.
Algebraic Method
An Algebraic method is a collection of several methods, which are used to solve a pair of the linear equations that includes two variables. Generally, the algebraic method can be sub-divided into three categories:
Substitution method
Elimination method
Cross-multiplication method
Graphical Method
The graphical method is also known as the geometric method and is used to solve the system of linear equations. In this method, the equations are designed based on the objective function and constraints. To solve the system of linear equations, this method has undergone different steps to obtain the solutions.
In this article, we will focus mainly on solving the linear equations using the first algebraic method called “Substitution Method” in detail.
Substitution Method Steps
For instance, the system of two equations with two unknown values, the solution can be obtained by using the below steps. Here, the list of steps is provided to solve the linear equation. They are
Simplify the given equation by expanding the parenthesis
Solve one of the equations for either x or y
Substitute the step 2 solution in the other equation
Now solve the new equation obtained using elementary arithmetic operations
Finally, solve the equation to find the value of the second variable
Graphing of Linear Equations
Solving Linear Equations
Linear Equations in Two Variables
Difference Between Linear and Non-Linear Equations
Elimination by Substitution Method
In this method, the elimination of the variable can be performed by substituting the value of another variable in an equation. Hence, this method is called the elimination by substitution method.
Let us assume the system of linear equations
2x+3y = 13 and x-2y = -4
Given:
2x+3y = 13 … (1)
x-2y = -4 …(2)
The equation (2) can be written as
x = 2y-4 … (3)
Now, in equation (1) eliminate the variable x by substituting the equation (3).
Hence, equation (1) becomes
2(2y-4) +3y = 13
Now, apply the distributive property for the above equation,
4y-8+3y = 13
Now, solve the above equation for the variable y
7y – 8 = 13
7y = 13+8
7y = 21
y= 21/7
y= 3
Hence, the value of y is 3.
Now, substituting y=3 in the equation (2), we get
x- 2(3) = -4
x – 6=-4
x = -4+6
x = 2
Therefore, the value of x is 2.
Hence, the solution for the system of linear equations is:
x = 2 and y=3
To check whether the obtained solution is correct or not, substitute the values of x and y in any of the given equations.
Verification:
Use Equation (2) to verify the solution
x-2y = -4
Now, substitute x= 2 and y=3
2-2(3) = -4
2-6= -4
-4=-4
Here, L.H.S = R.H.S
Hence, the obtained solution is correct
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What Is 4x4 For A Muplity Question
Answer:
16
Step-by-step explanation:
4+4+4+4=16
Answer: 4x4 is 16 if need help getting that answer count by fours 4,8,12,16
please help me out here I need it
Step-by-step explanation:
it is the 3rd one I know this as I substituted all values of x into each equation and got the answer for y
Answer:
y=2X2-5x+5
Step-by-step explanation:
A rectangular carpet measures 12m by 5m. Part of the carpet is covered by a square rug of length 2m. What fraction of the carpet is covered by the rug?
Answer:
¹/15
Step-by-step explanation:
Area of the rug = s²
Where s = 2 m
Area of the rug = 2² = 4 m²
Area of the rectangular carpet = length × width
Where,
Length = 12 m
Width = 5 m
Area = 12 × 5 = 60 m²
Fraction of the carpet covered by the rug = area of the rug ÷ area of the carpet = 4/60 = ¹/15