As three people are asked to throw a fair die. Then, the probability that they all get the same number is 1/36.
Probability:
Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).
According to the Question:
Theoretical, Probability is based on the probability that something will happen. Probability justification serves as the main basis for theoretical probability.
Given that,
There is a 1 in 6 chance that the dice will match.
The number of throwers is 3.
That way everyone has a chance to get the same number.
And the probability is:
The total outcome is 3 dice = ( 6 × 6 × 6 = 216 ).
Therefore,
probability of getting the same number = 6 × 1/6 × 1/6 × 1/6
= 6 × 1/6 × 1 × 1/6 × 6
= 6/6 × 1/36
= 1 × 1/36
Therefore,
Probability of all three thrown is 1/36.
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!Help! Can someone help me solve for the variables?
I know the sum is 360 but i don't know where to start.
The measure of a° is 144°.
The measure of b° is 67°.
What is a trapezium?A trapezium is a quadrilateral where 1 pair of sides are parallel and the sum of angle pairs between parallel lines is 180 degrees.
We have,
Two parallel lines.
The sum of the angle pairs between parallel lines = 180°
This means,
a + 36 = 180
a = 180 - 36
a = 144
b + 113 = 180
b = 180 - 113
b = 67
Thus,
The value of a° is 144°.
The value of b° is 67°.
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The ratio of accessible parking spots to general parking spots is 2:75. If a parking lot is designed to hold 385 parking spots, how many more general parking spots than accessible parking spots will there be?
There are 365 more general parking spots than accessible parking spots.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, the ratio of accessible parking spots to general parking spots is 2:75.
A parking lot is designed to hold 385 parking spots.
So, 2+75=77
Number of general parking spots
= 75/77 ×385
= 75×5
= 375
Number of accessible parking spots
=2/77 ×385
= 10
Now, difference =375-10
= 365
Therefore, the number general parking spots than accessible parking spots are 365.
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Where is the function increasing?
The function increases when x > 0
The function increases when x > 1
The function increases when x > 2
The function increases when x > -3
According to the given image, the given function is increasing at (C) x > 2.
What are functions?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.
The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
The relationship between the input or domain and the output or range is known as the function rule.
If and only if there is a single value in the range for each domain value, a relation is a function.
A function is denoted by the notation f x, where x is the input value.
A function has the general form y = f x.
So, let's consider the given image:
The function is increased from the point +2 on the x-axis.
Which can be the point x > 2.
Therefore, according to the given image, the given function is increasing at (C) x > 2.
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Complete question:
Where is the function increasing?
a. The function increases when x > 0
b. The function increases when x > 1
c. The function increases when x > 2
d. The function increases when x > -3
To find the unit rate for StartFraction 182 dollars Over 14 feet EndFraction,
a. divide both 182 and 14 by 14.
b. multiply both 182 and 14 by 14.
c. divide both 182 and 14 by 182.
d. multiply both 14 and 182 by 182.
To find the unit rate for Start Fraction 182 dollars Over 14 feet End Fraction,
c. divide both 182 and 14 by 182.
A fraction is a mathematical concept that refers to a component of a whole or, more broadly, any number of equal parts.
An element of the whole is a fraction. The number is shown as a quotient in mathematics, where the numerator and denominator are split.Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction.
Step 1: Divide 182 by 182
182 / 182 = 1
Step 2: Divide 14 by 182
14 / 182 = 0.07660818713450292
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we are asked to test for independence between age (i.e., adult and teen) and drink preferences. the test statistic for this test of independence is
The value of test statistic for test of independence is 62.5
The Chi-square test of independence checks that two variables are related or not. We have to count for two nominal variables. We also believe that the two variables are unrelated. The test allows us to determine whether or not our idea is plausible.
The sections that follow go over what we need for the test, how to perform it, understanding the results, statistical details, and p-values.
Given,
the table shows the beverage preferences for random samples of teens and adults.
For calculating the test statistics,
First wee need to calculate the expected values of every observed values.
Expected values for teens,
[tex]E(50)=\frac{250*400}{1000}=100\\\\E(100=)\frac{250*400}{1000}=100\\\\E(200)=\frac{400*400}{1000}=160\\\\E(50)=\frac{100*400}{1000}=40[/tex]
Expected values for adults,
[tex]E(200)=250-100=150\\\\E(150)=250-100=150\\\\E(200)=400-160=240\\\\E(50)=100-40=60[/tex]
Now, the test statistic is given by:
[tex]X^2=\frac{\sum\limits^n_{i=1}(O_i-E_i)^2}{E_i}[/tex]
Where, Ei=expected value and Oi = observed value
[tex]X^2=\frac{(50-100)^2}{100}+\frac{(100-100)^2}{100}+...\frac{(200-240)^2}{240}+\frac{(50-60)^2}{60}=62.5[/tex]
So, the value of test statistic for this test independence is 62.5.
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Your question is incomplete, here is the complete question
The table below gives beverage preferences for random samples of teens and adults.
teens adults total
coffee 50 200 250
tea 100 150 250
soft drink 200 200 400
other 50 50 100
400 600 1000
we are asked to test for independence between age (i.e., adult and teen) and drink preferences. the test statistic for this test of independence is ?
(-1,-10)(−1,−10)left parenthesis, minus, 1, comma, minus, 10, right parenthesis and (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis.
Answer: 4
Step-by-step explanation:
-1+-10 is -11
5+2 is 7
-11+7 is 4
someone help please asap
Answer:
[tex]x= -\sqrt19 -4\\x=\sqrt19-4[/tex]
Decimal version: [tex]x= 8.3589 \\x=0.358899[/tex]
Step-by-step explanation:
1. Move the terms
[tex]x^{2} +10x-2x=5-2[/tex]
2. Collect like terms
[tex]x^{2} +8x=5-2\\x^{2} +8x=3[/tex]
3. Complete the square, you should get
[tex]x^{2} +8x+16=3+16\\(x+4)^{2} =19[/tex]
4. Solve for X
This is the Fraction Operations Please solve all these:
1. 3/8 + 2/3= ?
2. 3 1/4 - 1 1/8=?
3. 2 1/2 divided by 2= ?
Please explain how you got it. Thanks!
The required simplified solution of the given numerals is 1. 25/24, 2. -7/8, and 3. 5/4.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
1.
3/8 + 2/3 = 9 + 16 / 24
= 25 / 24
2.
3 1/4 - 1 1/8 = 1/4 - 9 / 8
= -7/8
3.
[2 + 1 /2] / 2 = [5 / 2] / 2 = 5 / 4
Thus, the mandated simplified solution of the assigned numerals is 1. 25/24, 2. -7/8, and 3. 5/4.
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How much pure (100\%100%100, percent concentration) alcohol should they include in a 600\,\text{mL}600mL600, start text, m, L, end text bottle to make a 68\%68%68, percent mixture?
Using the percentage by volume of the solutions, we can calculate that we require 216 mL of 100% alcohol and 384 mL of 50% alcohol.
What is the percentage by volume?Volume/volume percentage is a unit used to represent how much of a substance is present in a solution.
It is sometimes referred to as v/v percent or %v/v.
It is calculated by dividing the volume of the solute by the total volume of the solution, then multiplying the result by 100.
So, we are aware of:
A + B = 600 mL
We also know that the total alcohol concentration of the final solution must be equal to:
0.68 * 600 mL = 408 mL
Therefore, it follows that:
0.50 * A + B = 408 mL
The first equation leads to the following conclusion:
A = 600 mL - B
Using that A in the second equation, we arrive at:
0.50 * (600 mL - B) + B = 408 mL
300 mL - 0.50 B + B = 408 mL
If we rewrite this equation as follows:
B - 0.50 * B = 408 mL - 300 mL
0.50 * B = 108 mL
B = 108 mL / 0.50
B = 216 mL
A = 600 mL - 216 mL = 384 mL
Therefore, using the percentage by volume of the solutions, we can calculate that we require 216 mL of 100% alcohol and 384 mL of 50% alcohol.
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Complete question:
A factory has a batch of hand sanitizer with 50\%50%50, percent alcohol content. How much pure (100\%100%100, percent concentration) alcohol should they include in a 600\,\text{mL}600mL600, start text, m, L, end text bottle to make a 68\%68%68, percent mixture?
Circle all statements that MUST be true
a. Diagonals of parallelograms bisect each other
b. Parallelograms have four congruent sides
c. Isosceles triangles have 3 congruent angles
d.
If the endpoints of a line segment are equidistant from a third point, that third point lies on the
perpendicular bisector of the line segment.
7. Find the value of X, Y. Show your work
Answer:
6) True, False, False, True;7) x = 135, y = 45.--------------------
Question 6a. Diagonals of parallelograms bisect each other
TRUEb. Parallelograms have four congruent sides
FALSE, it is true for rhombusc. Isosceles triangles have 3 congruent angles
FALSE, it has 2 congruent angles as two sides are congruent.d. If the endpoints of a line segment are equidistant from a third point, that third point lies on the perpendicular bisector of the line segment.
TrueQuestion 7Adjacent angles of a parallelogram are supplementary and opposite angles are congruent.
x + y = 180 and y = 45Find x:
x + 45 = 180x = 180 - 45x = 135Help with question 14
Answer:
Step-by-step explanation: I think its the second one
Luis eats 4 pieces of a pizza divided into 6 equal-sized parts.
Omar eats 2 of the pieces.
46+26 models the total amount of pizza Luis and Omar ate.
Which expression is equivalent to 46+26?
CLEAR CHECK
(16+16+16+16)+(16+16)
46+26
(46+46+46+46)+(26+26)
4+6+2+6
Answer:
i think its just 46+26
Step-by-step explanation:
sorry if im wrong
Please help me if I don’t do it I will fail my class
I think that's about right...
Just copy the image down onto your paper
Why has she decided to stop mentioning the wallpaper to others?
The lines are taken from the short story 'The Yellow Wallpaper'. The woman stops mentioning the wallpaper to others because she feels suspicious about it.
The short story summarizes a woman who is suffering from nervous depression and what happens when she comes in contact with wallpaper in her new house which she thinks is alive. Throughout the entire story, the narrator expresses how the woman feels, how she thinks the wallpaper is alive and that it can cause harm to her.
At first glance, she feels that it is ugly, and to get better she describes the entire house. She feels very disturbed when she sees the wallpaper in her bedroom and it makes her feel strange. She becomes so obsessed with the wallpaper to such an extent that she feels like it is the shape of a woman who is alive.
She becomes possessive and feels that the woman in the wallpaper is moving through the entire house so she starts biting and tearing the wallpaper to free the women trapped inside. The entire story mentions the mental health of the women.
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Find b: 11/4 = -1/4 + b
Answer:
b=3 (PLEASE GIVE BRAINLIYEST)
Step-by-step explanation:
11/4=-1/4+b
12/4=b
b=12/4
b=3/1
b=3
need help fast what is the equation
The equation is 128 + 2x = 180.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
The sum of the same-side interior angles between two parallel lines is supplementary
This means,
128 + 2x = 180
2x = 180 - 128
2x = 52
x = 26
Thus,
The value of x is 26.
The equation is 128 + 2x = 180.
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a regression model in which more than one independent variable is used to predict the dependent variable is called
A regression model in which more than one independent variable is used to predict the dependent variable is called multiple linear regression.
Multiple linear regression refers to a statistical technique used to predict the outcome of one variable based on the values of two or more variables. Sometimes simply called multiple regression, it is an extension of linear regression. The variable we want to predict is called the dependent variable, and the variables we use to predict the value of the dependent variable are called the independent or explanatory variables.
Multiple Linear Regression - Formula
Yi + β0 + β1xi1 + β2xi2 + βpxip + ∈
Where:
Yi is the dependent or predicted variable
β0 is the y-intercept, i.e., the value of y when both xi and x2 are 0.
β1 and β2 are the regression coefficients representing the change in y relative to a one-unit change in xi1 and xi2, respectively.
βp is the slope coefficient for each independent variable.
∈ is the model’s random error (residual) term.
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Please help !!!!!!!!! Meeee
Answer:
B: 25
Step-by-step explanation:
We want to find 1875/75. 1875=1800+75
So, 1875/75=(1800+75)/75=24+1=25
Write a cubic function with x-intercepts -3/2, 0, 2 and passes through the point (1,3)
write the factors out with reverses signs like this
y = (x+3/2)(x)(x-2)
solve for x = 1
y = -2.5
what can we add to this to get 3
5.5
so
y = (x+3/2)(x)(x-2) + 5.5
at x = 1, y = 3
Hope this helps :)
If you need any more explanation, feel free to ask. If this really helps, consider marking brainliest.
- Jeron
using substitution to solve the system below, what expression should be substituted into the first equation?
The expression should be substituted into the first equation is "x = 8 -2y" and also the value of x = 3 and y = 2.5
What do you mean by substitution?
The substitution method is an algebraic strategy for resolving simultaneous linear equations. This approach, as the name suggests, involves substituting the value of one variable from one equation into the second equation. This makes it easier to answer a pair of linear equations by combining them into a single equation with a single variable.
The equations given in the question,
2x - 4y = -4
x + 2y = 8
Let these two equation be named as 1 and 2 respectively.
Taking equation 2 and making x stay one side and all others on other side of the equation. We get,
x = 8 -2y
Substituting this value of x in equation 1.
2x - 4y = -4
2(8 - 2y) - 4y = -4
y = 2.5
substituting this value of y in equation 2,
x + 2y = 8
x = 8 - 5
x = 3
Therefore, The expression should be substituted into the first equation is "x = 8 -2y" and also the value of x = 3 and y = 2.5
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Complete Question
Using substitution to solve the system below, what expression should be substituted into the first equation? 2x-4y=-4 and x+2y=8
1)
(2x - 3) + 9 ≥ 3 + 4x
4 3
Answer:
The answer will be x ≤ 3/2
an elevator starts at the basement with 10 people and discharges them all by the time it reaches the top ??oor, number 6. in how many ways could have the people get o?? the elevator if it only ma??ers the number of people that le?? on each ??oor?
Answer:
I am so sorry I'm doing this for the 'Help other's' task
How do you find the domain?
The domain of a function is the set of numbers that can go into a given function.
The set of input values (x) for which a function generates an output value is known as the domain of the function (y).
we can write [tex]y = f(x).[/tex]
domain is the full set of x-values that can be plugged into a function to produce a y-value.
The most effective approach to finding a domain will depend on the type of function.
The domain is expressed using an open bracket or parenthesis, the domain's two endpoints separated by a comma, and then a closed bracket or parenthesis.
To find domain of function we should know the property of that function like what the function can take inside it.
Like if we consider square root function [tex]\sqrt{x}[/tex] so inside root negative numbers are not allowed so value of x should be positive means x>=0
So domain of square root function [0, ∞).
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which racing organization saw its television ratings increase 28% over 2021 to a season average of 1.2 million viewers?
Formula 1 (F1) is the racing organization which saw its television rating increase 28% over 2021 to a season average of 1.2milion viewers.
Formula 1 (F1) season US Television viewership records,season race audience average is 1.21 million up 28% over record sets in 2021.Formula 1 (F1) breaks record for tv audience size in USA,Twelve of 22 races set in USA in which race more females and youngers viewers,As television viewership record fell by the wayside all year in 2022 the formula 1 world championship season ended as the most viewed over USA television,in addition more females and youngers viewers F1 races on USA television than ever before.
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A jar contains 4 blue marbles, 6 red marbles, 10 purple marbles, and 5 green marbles. If you choose one marble, what is the probability that it won't be green?.
Answer: 4/5
Step-by-step explanation:
Let's start with what we know:
4 blue
6 red
10 purple
5 green
So, we have 25 total and 5 green. But we are trying to find the probability it won't be green, in which we have 20 marbles. So the probability it won't be green is 20/25 = 4/5.
Lydia picked some flowers. She said she picked more than 20 flowers, but less than 40 flowers. The number of flowers Lydia picked is a multiple of 3. List at least 3 numbers that could be the number of flowers Lydia picked.
Answer: The numbers of flowers she could have picked are 21, 24, 27, 30, 33, and 36.
Why?: These are all multiples of 3 between 20-40.
Determine which equation is false, based on the solution set S:{2}.
7 = 6p − 5
4t = 8
3(3c + 1) = 21
5m + 8 = 16
pls help ill give 45 points
Answer:
[tex]5m+8=16[/tex]
Step-by-step explanation:
[tex]5m+8=16 \\ \\ 5m=8 \\ \\ m=1.6 \neq 2[/tex]
Helpppppppppppppppppppppppp
Answer:
Christianity bc its the earliest for everything
What is the LCM of 3 and 4 and 5 and 6?
The LCM of 3 and 4 and 5 and 6 is 12 and 30.
The abbreviation LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.
LCM can be found by different methods like the Listing method, Prime Factorization method, and Division method.
To find LCM using the listing method follow the below steps,
Let A be one number and B be another number. First, list the first few multiples of them.Select the common multiples from multiples of both A and B.Choose the lowest common multiples of both A and B. This is the LCM.For numbers 3 and 4, LCM is
Multiples of 3 are written as 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, …..etc.
Multiples of 4 are written as 4, 8, 12, 16, 20, 24, 28, 32, 36, 40,...etc.
Common multiples of 3 and 4 are 12, 24, 36..etc.
The LCM is 12.
For numbers 5 and 6, LCM is
Multiples of 5 are written as 5, 10, 15, 20, 25, 30, 35, 40, 45, 50,..etc.
Multiples of 6 are written as 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...etc.
The common multiple of 5 and 6 is found to be 30.
The LCM is 30.
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Melinda can paint 14 of a wall in the same time that desiree can paint 25 of a wall. How much of a wall will melinda have painted when desiree has finished painting 1 wall?.
Melinda will have painted 56 percentage of a wall for the time taken by Desiree, when she has finished painting 1 wall.
The computation of the difference between the time taken by Desiree and Melinda to paint walls at their respective speeds can be shown using the generalized calculations, as expressed hereunder,
Desiree will take 4x the time for painting 1 wall completely (25x4=100%). Thus, the amount of time taken by Melinda will also be 4x of her actual time, as below,
14×4= 56%
Therefore, Melinda will have covered 56 percent of the wall in the time when Desiree completes painting the entire wall.
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