how many distinguishable arrangements are there of 1 brown tile, 1 purple tile, 2 green tiles, and 3 yellow tiles in a row from left to right? (tiles of the same color are indistinguishable.)
Answers
Using combinations, we know that 420 distinguishable arrangements are there of 1 brown tile, 1 purple tile, 2 green tiles, and 3 yellow tiles in a row from left to right.
What are combinations?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.So, in order to divide the possibilities we overcounted, let's first determine how many there would be if they were all distinct.
7! things can be ordered in 7 different ways.
However, since there are 2!=2 ways to arrange the green tiles and 3!=6 ways to arrange the yellow tiles without changing anything (as they are identical), we must divide these options.
7!/3! × 2
420
Therefore, using combinations, we know that 420 distinguishable arrangements are there of 1 brown tile, 1 purple tile, 2 green tiles, and 3 yellow tiles in a row from left to right.
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Related Questions
Write an equation for the graph below in terms of x
Answers
Explanation: Slope= rise/run = -1, the y-intercept is -3. Plug the numbers into the y=mx+b equation
Find the measure of angle h
Answers
Answer:
62 degrees
Step-by-step explanation:
Since we know 3 sides of the triangle, we can use law of cosines.
\( {gk}^{2} = {gh}^{2} + {kh}^{2} - 2(gh)(kh) \times \cos(h) \)
\( {8}^{2} = {17}^{2} + {15}^{2} - 2(17(15) \times \cos(h) \)
\(64 = 289 + 225 - 510 \times \cos(h) \)
\(64 = 314 - 510 \times \cos(h) \)
\( - 250 = - 510 \times \cos(h) \)
\( \frac{250}{510} = \cos(h) \)
\( \frac{25}{53} = \cos(h) \)
Take the arcos or cosine inverse
\( \cos {}^{ - 1} = \frac{25}{53} \)
Which is about 62 degrees.
in regression and correlation analysis, if sse and sst are known, then with this information the group of answer choices coefficient of determination can be computed slope of the line can be computed y intercept can be computed x intercept can be computed
Answers
SSE and SST alone is not sufficient to compute the slope of the regression line, y-intercept, or x-intercept.
The coefficient of determination, also known as R-squared, can be computed if SSE (sum of squared errors) and SST (total sum of squares) are known. R-squared is a measure of the proportion of variation in the dependent variable (y) that can be explained by the independent variable (x). It ranges between 0 and 1, with higher values indicating a better fit of the regression line to the data.
The formula for R-squared is: R-squared = 1 - (SSE / SST)
However, knowing SSE and SST alone is not sufficient to compute the slope of the regression line, y-intercept, or x-intercept. These require additional information such as the mean values of x and y, or the values of individual data points.
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16=5/4(6x+20)
what's it's simplest form
Answers
Answer:
-6/5
Step-by-step explanation:
Answer: x=0 or 6/5
Step-by-step explanation:
learning task 1 identify if the if the given equation is a polynomial equation or not
Answers
Answer:
In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.
Step-by-step explanation:
show that a pair x,p is equilibrium if and only if x and p are optimal solutions to the standard form problem under consideration and its dual respectively
Answers
A pair (x, p) is an equilibrium, if and only if x and p are optimal solutions to the standard form problem and its dual, respectively.
To show that a pair (x, p) is an equilibrium if and only if x and p are optimal solutions to the standard form problem and its dual, we need to demonstrate both directions of the equivalence.
First, let's assume that (x, p) is an equilibrium. An equilibrium occurs when the primal problem and its dual problem satisfy certain conditions. In this case, we have:
1. Primal problem:
- Objective function: maximize \(c^T * x\) (where c is the cost vector and x is the decision variable)
- Subject to: Ax = b (where A is the constraint matrix and b is the right-hand side vector)
2. Dual problem:
- Objective function: minimize \(b^T * p\) (where p is the dual variable)
- Subject to: \(A^T * p \geq c\) (where \(A^T\) is the transpose of A)
Now, if (x, p) is an equilibrium, it means that both the primal and dual problems are feasible, and their objective functions are equal. This implies that x and p are optimal solutions to their respective problems.
Conversely, let's assume that x and p are optimal solutions to the standard form problem and its dual, respectively. This means that x and p satisfy the feasibility conditions and optimize the objective functions of their respective problems.
Since x and p are optimal solutions, the objective functions of the primal and dual problems are equal. This condition ensures that (x, p) is an equilibrium.
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A pair (x, p) is an equilibrium if and only if x is an optimal solution to the standard form problem and p is an optimal solution to its dual. Both conditions must be satisfied for equilibrium.
To show that a pair (x, p) is an equilibrium, we need to prove two conditions: (1) x is an optimal solution to the standard form problem, and (2) p is an optimal solution to its dual.
First, assume that (x, p) is an equilibrium. This means that x is feasible and satisfies the constraints of the standard form problem. We can also assume that p is feasible and satisfies the constraints of the dual problem.
To prove condition (1), we can use contradiction. Suppose x is not an optimal solution. Then there exists another feasible solution x' that yields a better objective function value. However, this contradicts the definition of an equilibrium, so x must be an optimal solution.
Similarly, to prove condition (2), we can assume that p is not an optimal solution. Then there exists another feasible solution p' to the dual problem that yields a better objective function value. Again, this contradicts the definition of an equilibrium, so p must be an optimal solution.
Conversely, if x is an optimal solution to the standard form problem and p is an optimal solution to its dual, we can conclude that (x, p) is an equilibrium. This is because both x and p satisfy the necessary conditions for optimality.
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Suppose you have $1100 deposited at 4.5% compounded monthly. About long will it take your balance toincrease to $2700? Round your answer to the nearest tenth of a year.years
Answers
Recall the formula for compound interest
\(\begin{gathered} A=P\Big(1+\frac{r}{n}\Big)^{nt} \\ \text{where} \\ A\text{ is the accrued amount} \\ P\text{ is the principal amount} \\ r\text{ is the rate as a decimal} \\ n\text{ is the number of compounding period per year} \\ t\text{ is the time in years} \end{gathered}\)Using the formula, rearrange the equation and solve in terms of time t
\(\begin{gathered} A=P\Big{(}1+\frac{r}{n}\Big{)}^{nt} \\ \frac{A}{P}=\frac{\cancel{P}\Big{(}1+\frac{r}{n}\Big{)}^{nt}}{\cancel{P}} \\ \frac{A}{P}=\Big{(}1+\frac{r}{n}\Big{)}^{nt} \\ \ln \Big(\frac{A}{P}\Big)=\ln \Big(1+\frac{r}{n}\Big)^{nt} \\ \frac{\ln \Big{(}\frac{A}{P}\Big{)}}{n\ln \Big{(}1+\frac{r}{n}\Big{)}}=\frac{nt\ln \Big{(}1+\frac{r}{n}\Big{)}}{n\ln \Big{(}1+\frac{r}{n}\Big{)}} \\ t=\frac{\ln \Big{(}\frac{A}{P}\Big{)}}{n\ln \Big{(}1+\frac{r}{n}\Big{)}} \end{gathered}\)Substitute the given values and we get
A = $2700, P = $1100, n = 12 (12 months in a year), r = 0.045 (from 4.5%)
\(\begin{gathered} t=\frac{\ln\Big{(}\frac{A}{P}\Big{)}}{n\ln\Big{(}1+\frac{r}{n}\Big{)}} \\ t=\frac{\ln \Big{(}\frac{2700}{1100}\Big{)}}{(12)\ln \Big{(}1+\frac{0.045}{12}\Big{)}} \\ t=19.99 \end{gathered}\)Rounding the answer to the nearest tenth, the time it takes is 20 years.
Please help me I would really appreciate it, If you can't that is okay but please try
Answers
Answer:
(3p+10q)
Step-by-step explanation:
9p^2 - 100q^2
Rewriting
(3p)^2 - (10q)^2
This is the difference of squares
a^2 - b^2 = (a-b)(a+b)
(3p-10q) (3p+10q)
Answer:
( 3p + 10 q)
Step-by-step explanation:
9 p ² - l00 q ²
(3p)² - ( 10 q) ²
( a ² - b ² = ( a + b) ( a - b) )
( 3p - 10 q) ( 3 p + 10 q)
What is the relationship between angle 3 and angle 7?
Group of answer choices
Supplementary
Complementary
Congruent
Adjacent
Answers
Answer:
Congruent
Step-by-step explanation:
∠3 and ∠7 are Complementary Angles. This means that they are congruent angles.
Answer:
congruent
Step-by-step explanation:
Whatever measure you get for 3 is the same for measure 7
can some help me out with this?
Answers
s - 5 > -1
To solve for s, add 5 to both sides of the inequality:
s > 4
Answer:
s > 4
Step-by-step explanation:
you add 5 both both sides
-1+5 is 4
therefore you get s > 4
help pls hurry
find the volume
Answers
Step-by-step explanation:
hope it helps you
here is ur answer
A dealer buys a wrist watch for $225 and spends $15 on its repairs. If he
sells the same for $300. find his profit percentage.
Answers
Answer:
he earns a 18 percent increase
solve the equation 0.6(X+2)=0.55(2x+3)
Answers
Answer:
I think it's 0.9
Step-by-step explanation:
please and thank you
Answers
Answer:
D
Step-by-step explanation:
your welcome
Write two number so that the value of the digit 9 in the second number is 10 times the value of digit 9 in the first number ?
Answers
The two numbers with the value of 9 in the first digit being 10 times the value of 9 in the second digit are 98 and 9.
Given that the value of the digit 9 in the second number is 10 times the value of digit 9 in the first number .
The first number will be 9 and the second number will be 98.
In the second number, the 9 is in the tens position which means that it has the value of 90.
In the first number, the value of 9 is simply 9.
90 is 10 times the value of 9 which means that 9 and 98 satisfy the requirements.
The first number will be 9 and the second number will be 98.
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By convention, we often reject the null hypothesis if the probability of our result, given that the null hypothesis were true, is a) greater than .95 b) less than .05 c) greater than .05 d) either b or c
Answers
By convention, we often reject the null hypothesis if the probability of our result, given that the null hypothesis were true, is less than .05
By convention, we often reject the null hypothesis if the probability of our result, given that the null hypothesis were true, is considered statistically significant, which is typically set at a level of alpha = .05.
This means that if there's less than a 5% chance of obtaining our result when the null hypothesis is true, we consider the result statistically significant and reject the null hypothesis in favor of the alternative hypothesis.
Therefore, option B is the correct answer.
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A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?
Answers
Answer: 26 inches is equivalent to 660.4 millimeters.
Step-by-step explanation:
You will multiply the inches by the conversion.
\(26in*25.4mm=660.4mm\)
Therefore, the answer is 660.4 millimeters.
I hope this helps!! Pls mark brainliest :)
Which is the solution to the inequality?
25 <0-
8
15
O b<2
15
o b>216
b <3 77
o b<
06-377
Answers
Answer:
cccccccc ccccccccccccc
2(4z - 2) = 44 er: Sub
Answers
we have
2(4z - 2) = 44
Solve for z
that means
isolate the variable z
step 1
apply distributive property left side
8z-4=44
step 2
Adds 4 both sides
8z-4+4=44+4
simplify
8z=48
step 3
Divide by 8 both sides
8z/8=48/8
z=6i am herePlease, Do you understand all the steps so far?a painter wants to mix 2 litres of blue paint with 3 litres of yellow paint to obtain 5 litres of green paint. he accidentally uses 3 litres of blue paint and 2 litres of yellow paint and thus produces the wrong shade of green. what is the minimum amount of this green paint he has to throw away so that he can use the rest to add blue or yellow paint in order to get exactly 5 litres of the correct shade of green?
Answers
The minimum amount of green paint he has to throw away so he can use rest to add blue or yellow paint in order to get exactly 5 liters of correct shade of green is 5/3 liter.
We know that "original-shade" of green color requires "2-liters" of blue paint and "3-liters" of yellow paint.
So, the original-ratio of "yellow-paint" to "total-paint" is = 3 : 5,
He mixes 3-litres of "blue" and 2-litres of "yellow" for 5 liters of paint,
So, he has more blue-paint in mixture than it is required to make green color,
He needs to throw some of green-paint and add yellow-paint to get required shade-of-green.
Let the painter throw away "x-liters" of paint from his mixture and adds "x-liters" of yellow-paint into mixture.
So, New mixture will have same ratio as 3:5,
So, the equation in x is,
⇒ (2/5)×(5 - x) + x = (3/5)×5,
⇒ 2 - (2/5)x + x = 3,
⇒ (3/5)x = 1,
⇒ x = 5/3.
Therefore, the painter needs to throw away 5/3 liters of paint.
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Please help. Explanation would help :)
Answers
Answer:
Step-by-step explanation:
- 50 + (5 / 13)p this says negative 50 plus 5/13 times p
if p = -26 what does this epression evaluate to?
- 50 + (5 / 13) × p p = -26 substitute the value of p into the expression
- 50 + (5 / 13) × (-26)
- 50 + (5 (-26) / 13) I just rewrote the expression to make it clearer
that the -26 in -26/1 and the 5 in 5 / 13 are
both in the numerator over denominator 13
- 50 + (5 (-26) / 13) -26 / 13 evaluates to -2
-50 + (5)(-2)
-50 + (-10)
-50 - 10
-60
how to count to 20 in spanish?
Answers
Counting to 20 in Spanish is a relatively straightforward process. The first step is to learn the numbers from 1 to 10, which are:
1 - uno
2 - dos
3 - tres
4 - cuatro
5 - cinco
6 - seis
7 - siete
8 - ocho
9 - nueve
10 - diez
Once you have these numbers memorized, it's easy to continue counting up to 20. Simply add the numbers from 11 to 19 to the base number, diez.
11 - once (diez + uno)
12 - doce (diez + dos)
13 - trece (diez + tres)
14 - catorce (diez + cuatro)
15 - quince (diez + cinco)
16 - dieciséis (diez + seis)
17 - diecisiete (diez + siete)
18 - dieciocho (diez + ocho)
19 - diecinueve (diez + nueve)
20 - veinte
As you can see, the only exception is the number 15, which has its own unique word, "quince." Other than that, all of the numbers from 11 to 19 follow the same pattern of adding "diez" to the appropriate digit. And once you reach 20, you're done! It's important to note that Spanish has gendered nouns, so when counting objects, you will need to use the appropriate article and adjective to match the gender of the noun. For example, if you are counting "dogs," you would say "uno perro," but if you were counting "cats," you would say "una gata."
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Answer:
1 uno
2 dos
3 tres
4 cuatro
5 cinco
6 seis
7 siete
8 ocho
9 nueve
10 diez
11 once
12 doce
13 trece
14 catorce
15 quince
16 dieciséis
17 diecisiete
18 dieciocho
19 diecinueve
20 veinte
Step-by-step explanation:
the radius of a scooter wheel is 14cm. How many revolutions does the wheel make if the scooter travels 4.4km? take π=22/7
Please help my bro solve this.. i don't have time thanks
Answers
Answer:
5000
Step-by-step explanation:
in order to find how many revolutions, you need to find the circumference of the circle which is 2pi r.
thus, you will get this working out:
circum= 2 times 22/7 times 14
= 88cm
4.4 km = 440000cm
Then, 440000cm divide 88 cm =5000.
Thus, 5000 revolutions.
the calves you want to buy are 15 weeks old. what does the least-squares line predict for a healthy weight? (round your answer to two decimal places.) kg
Answers
The least-squares line predicts the healthy weight of the 15-week-old calves.
What is the predicted healthy weight of the 15-week-old calves?The least-squares line is a linear regression model that determines the best-fit line through a set of data points.
In this case, it is used to predict the healthy weight of the 15-week-old calves.
The line is based on a statistical analysis of historical data and aims to minimize the sum of the squared differences between the predicted and actual weights.
To calculate the predicted weight, we would need additional information such as the specific equation of the least-squares line and any relevant coefficients or parameters.
Using this equation, we can input the age of 15 weeks to obtain the estimated healthy weight.
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2x-15=3(2x+3)
It’s multi step equations
Answers
Answer:
x = -6
Step-by-step explanation:
Hello!
2x - 15 = 3(2x + 3)
Distribute the 3
3 * 2x = 6x
3 * 3 = 9
2x - 15 = 6x + 9
Subtract 2x from both sides
-15 = 4x + 9
Subtract 9 from both sides
-24 = 4x
Divide both sides by 4
-6 = x
Hope this helps!
PLEASE HELPPPPP im struggling
Answers
Answer: $2,750
Step-by-step explanation:
Can you have a triangle with 2cm 3cm 5cm Class 7?
Answers
No , we cannot have a triangle with 2cm , 3cm and 5cm , because the sum of two sides is not greater than the other sides .
What is a Triangle ?
A triangle can be defined as the closed figure , that is made up of three line segments .
The Condition for any three sides to form a triangle : the sum of any two sides of triangle should be greater than the third side .
The sides of triangle are given to be : 2cm , 3cm and 5cm ;
on adding the two sides ,
we get ;
⇒ 2 + 3 = 5 > 5 ; False
⇒ 3 + 5 = 8 > 2 ; True
⇒ 2 + 5 = 7 > 3 ; True
All the conditions are not met ,
Therefore , the given sides cannot form a triangle .
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Find the value of y.
148°
y
x
y = [?]°
![Find the value of y.148yxy = [?]](https://i5t5.c14.e2-1.dev/c-qa-images/contents/attachments/wypnyTl7qtcloD5K5APssJ1mBYaWwhr3.png)
Answers
Answer:
y=90 degree
Step-by-step explanation:
bcz this triangle is drawn in the semi-circle and the greatest angle of triangle in a semi-circle is always right angle.
evaluate the six trigonometric functions of the angle θ
Answers
There are basically 6 ratios used for finding the elements in Trigonometry. They are called trigonometric functions. The six trigonometric functions are sine, cosine, secant, cosecant, tangent and cotangent.
By using a right-angled triangle as a reference, the trigonometric functions and identities are derived:
sin Î= Opposite Side/Hypotenuse
cos Î= Adjacent Side/Hypotenuse
tan Î= Opposite Side/Adjacent Side
sec Î= Hypotenuse/Adjacent Side
cosec Î= Hypotenuse/Opposite Side
cot Î= Adjacent Side/Opposite Side
All these are taken from a right-angled triangle.
When the height and base side of the right triangle are known, we can find out the sine, cosine, tangent, secant, cosecant, and cotangent values using trigonometric formulas.
The reciprocal trigonometric identities are also derived by using the trigonometric functions.
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In interpreting effect size, what is the meaning of effect size at 0.3?
a. small effect size
b. medium effect size
c. large effect size
d. weak effect size
Answers
In interpreting effect size, the meaning of effect size at 0.3 is small effect size. So, the correct answer is A).
In interpreting effect size, an effect size of 0.3 is typically considered to be a small effect size. This means that there is a small but still measurable difference or relationship between two variables.
The interpretation of effect size can vary depending on the context and the discipline in which it is being used, but as a general rule, effect sizes of 0.2 or smaller are considered small, effect sizes of 0.5 are considered medium, and effect sizes of 0.8 or larger are considered large. Therefore, an effect size of 0.3 falls in the small effect size range. So, the correct option is A).
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