You can calculate the number of ways to arrange the flags using the formula for permutations of multi-sets. We substitute the quantities of each flag color into the formula, which yields our answer of 1260 ways to arrange the flags.
Explanation:The question is asking about permutations of different objects— in this case, flags of multiple colors. For such problem, you can use the formula for permutations of multiset:
P(n1, n2, ..., nk) = (n1 + n2 + ... + nk)! / (n1! * n2! * ... * nk!)
Where n1, n2, ..., nk represent the counts of each distinct item (in this case, flag colors).
For our flags, you would substitute n1=4 (blue flags), n2=3 (green flags), and n3=2 (red flags). Applying the formula gives us (4+3+2)! / (4!*3!*2!) = 9! / (4!*3!*2!) = 1260.
So, "there are 1260 ways to arrange 4 blue flags, 3 green flags and 2 red flags that the student has".
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The population of a major U.S. city is 8,550,405. The land area of the city is 1213.4 square kilometers. What is the best approximate population density of the city? 7047 peoplekm2 7124 peoplekm2 7167 peoplekm2 7500 peoplekm2
The population of a major U.S. city = 8,550,405
Area of the city = 1213.4 sq.km
Density = [tex] \frac{Population}{area} [/tex]
Density = [tex] \frac{8,550,405}{1213.4} [/tex]
Density = 7046.6499 [tex] \frac{People}{km^{2}} [/tex]
As the density here will not be in decimal so after rounding the density in whole number,
Density = 7047 [tex] \frac{People}{km^{2}} [/tex]
Option A is the answer
The english alphabet contains 21 consonants and five vowels. how many strings of six letters, each of which is drawn from the english alphabet, contain (a) exactly one vowel?
If sinA/sinB=p,cosA/cosB=q,find tanA and tanB
A counterexample for the expression sin(x)+cos(x)=1 is 45°
True or False?
Answer:
true
Step-by-step explanation:
Last week christi spent 2 3/4 hours playing piano this week she spent 3 2/4 hours playing the piano how much more time did she play the piano this week
It’s 3/4 hours which is 40 mins how I did this was I did that then I finished BOOM DONE KID
PLEASE HELP !! URGENT!! ILL MARK THE BRAINLIEST FOR THE CORRECT ANSWER
add or subtract
\frac{x}{x^2-36} -\frac{6}{x^2-36}
Answer:
x + 6; where x ≠ -6, +6
Step-by-step explanation:
What is the equation of the line whose y-intercept is 3 and slope is 1?
y=x-3
y=x+3
y=3x+1
The figure below is the two-dimensional net of a rectangular prism. What is the surface area of the prism it can be folded to form.
(Please see attached picture)
8 square units
20 square units
24 square units
28 square units
If you divided 26 objects into sets of 6, how many sets of 6 could you make, and how many are left over?
14) Jillian has $50 that she plans on investing in an account that will double her money every week. This can be represented by the equation M = 50(2)x where M represents the amount of money she has and x represents the number of weeks that have passed. Her uncle Charlie gives her a gift of $400 so she decides to start her investement with that money plus the $50 she already had. What should be changed in the equation M = 50(2)x to represent the new situation?
If A(-1,3), B(4,4), C(8,1) , then classify ABC as scalene, isosceles, or equilateral.
Jenny has a rope that is 7 1/2 She wants to cut it into pieces that are 3/4of a foot long.
How many pieces of rope will Jenny get?
5 5/8
8
10
1/10
Jenny will get 5 pieces of rope.
What is the ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
To find out how many pieces of rope Jenny will get, we need to divide the total length of the rope by the length of each piece:
Total length of the rope = 7 1/2 = 15/2
Length of each piece = 3/4
Number of pieces = (15/2) ÷ (3/4)
We can simplify this expression by dividing the numerator and denominator of the left-hand side by 2:
Number of pieces = (15/2) × (4/3)
Number of pieces = 30/6
Number of pieces = 5
Therefore, Jenny will get 5 pieces of rope.
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NEED HELP PLEASE I BEG!!!!!!
The results of a survey indicate that between 76% and 84% of the season ticket holders are satisfied with their seat locations.
What is the survey’s margin of error?
Enter your answer in the box. ± ___ %
The answer goes on the underscores
Final answer:
The margin of error for the survey, given a range between 76% and 84% satisfaction for seat locations, is calculated to be ±4%.
Explanation:
The margin of error in a survey indicates how much the survey results might differ from the actual opinions of the total population.
In this case, the survey indicates a satisfaction range between 76% and 84% for seat locations among season ticket holders.
The margin of error is half of the width of the range, which is the difference between the upper and lower percentage bounds of the confidence interval divided by two.
To calculate the margin of error, subtract the lower percentage (76%) from the upper percentage (84%) and then divide by 2. That is, (84 - 76) / 2 = 8 / 2 = 4.
Thus, the margin of error for the survey is ±4%.
please help asap 45 pts
Suppose y varies directly with x and y=-25 when x=5. find y when x=3
Final answer:
To solve for y when x = 3, we first determined the constant of proportionality (k) using the given values (y = -25 when x = 5). With k found to be -5, we then calculated y for x = 3 to find that y = -15.
Explanation:
The question asks us to find the value of y when x = 3 given that y varies directly with x and that y = -25 when x = 5. Because y is directly proportional to x, we can write the relationship as y = kx, where k is the constant of proportionality.
First, we solve for k:
Set up the equation based on the given information: y = kx
Substitute the known values: -25 = k(5)
Solve for k: k = -25 / 5 = -5.
Now that we have found k, we can use it to find y when x = 3:
Use the determined value of k: y = -5(3)
Multiply to find y: y = -15.
Therefore, when x = 3, y is -15.
Use 3.14 for pi. Round your answer to the nearest hundredth.
The calculated area of the shape is 50.24 square units
Finding the area of the shape.
From the question, we have the following parameters that can be used in our computation:
The shape
The area of the shape is calculated as
Area = 1/4πr²
Where
Radius, r = 8
Substitute the known values into the equation
Area = 1/4π * 8²
Evaluate
Area = 16π
So, we have
Area = 16 * 3.14
Evaluate
Area = 50.24
Hence, the area of the shape is 50.24 square units
Question
Find the area of the shape.
Use 3.14 for pi. Round your answer to the nearest hundredth.
Solve the equation. 20 = –d + 16
A. 4
B. –10
C. –6
D. –4
Expenses that are bi-weekly are paid twice a week twice a month every two weeks every two months
Answer:
Expenses that are bi-weekly are paid every two weeks.
Step-by-step explanation:
Expenses that are bi-weekly are paid every two weeks.
A bi-weekly pay schedule is the most commonly used pay period by employers. It is also called every other week pay period.
This payment method results in 26 paychecks in a year.
Three different bags of pretzels are sold at the store. which bag of pretzels is the best buy? bag a:10 ounces for $1.10 bag b:12 ounces for $1.38 bag
c.6 ounces for $0.84
Using the sample results, estimate the proportion of the entire population that would like to take a cruise to Bermuda.
Complete the area model to identify the factored form of the quadratic expression it represents. A) (x + 2)(x + 5) B) (x − 2)(x + 5) C) (x + 2)(x − 5) D) (x − 2)(x − 5)
The correct answer is D (x - 5)(x - 2)
You can tell this because in the picture, we are looking for all of the cross sections to multiply to their appropriate boxes. In the bottom right corner, we see the number 10. This means that the bottom number and the right number must multiply to 10. This only happens in A and D, whereas in B and C those equal -10.
To determine between A and D, you must find the ones that have negatives, since the two x values are both negatives. D is the only one with negative numbers out of the ones we are left working with. Therefore, D is the correct answer.
Answer:
its C i just did that question
Step-by-step explanation:
I need help please help me!!
8.Find the value of c that makes the expression be a perfect square trinomial p^2-30p+c
9.Use quadratic formula to solve. 4x^2+7x-15=0
10.Find the number of real number solutions using the discrimination. x^2+4x-32=0
Please help these are my final questions and I need help with them
2/5x = -3/15 + 1/x
x=0
x=15
x=5
x=3
Answer:
x = 3
Step-by-step explanation:
[tex]\dfrac{2}{5x}=-\dfrac{3}{15}+\dfrac{1}{x}\\\\\dfrac{1}{5}=\dfrac{5-2}{5x}\qquad\text{add $\frac{3}{15}-\frac{2}{5x}$}\\\\x=3\qquad\text{multiply by 5x}[/tex]
2. A cube-shaped aquarium has edges that are 3 ft long. The aquarium is filled with water that has a density of 62 lb/ft^3
(a) Should the aquarium be placed on a table that can support a maximum weight of 200 lb? Explain why or why not.
(b) Would the density of the water change if the aquarium was only half full? Explain. Answer:
(a)
3*3*3=27
27*62=1674
Your answer: 1674
(b)
No, no matter how much water there is, the density will never change.
How to find the third side of a triangle if two sides are known?
Final answer:
To find the third side of a triangle when two sides are known, you can use the Triangle Inequality Theorem or the Law of Cosines.
Explanation:
To find the third side of a triangle when two sides are known, you can use the Triangle Inequality Theorem or the Law of Cosines.
Triangle Inequality Theorem:
Take the two known sides of the triangle.
Add the lengths of the two sides together.
Subtract the sum from the total perimeter of the triangle.
Law of Cosines:
Label the two known sides as 'a' and 'b', and the angle between them as 'C'.
Use the formula c² = a² + b² - 2abcos(C) to find the square of the third side.
Take the square root of the result to find the length of the third side.
I NEED ANSWER ASAP!!! TEST DUE IN 30 MINUTES!!
What is the volume of the composite figure?
1,024 cm^3
896 cm^3
832 cm^3
64 cm^3
Answer:
896 cm^3
Step-by-step explanation:
formula for the triangle prism is
V= 1/3 Bh
V = 1/3 (8 x 3) (8) The base is 8 seen the base of the rectangel prism is 8 to its consider as base to.
V= 1/3 (24 x 8)
V= 1/3 (192)
V = 64
Now we need to find the volume so the rectangle formula is
V= lwh
V= (13x 8) (8)
V= 832cm
Add your two answers and u get
832 + 64 = 896 cm^3
The solution is : 896 cm^3 is the volume of the composite figure.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
Here, we have,
Volume formula for the triangle prism is
V= 1/3 Bh
V = 1/3 (8 x 3) (8)
The base is 8 seen the base of the rectangle prism is 8 to its consider as base to.
V= 1/3 (24 x 8)
V= 1/3 (192)
V = 64
Now we need to find the volume so the rectangle formula is
V= lwh
V= (13x 8) (8)
V= 832cm
Add your two answers and u get
832 + 64 = 896 cm^3
Hence, The solution is : 896 cm^3 is the volume of the composite figure.
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An old adage states that "You can't fit a square peg in a round hole." Actually, you can, it just won't fill the hole. If a hole is 4 inches in diameter, what is the approximate width of the largest square peg that fits in the round hole?
HELPP ILL GIVE MAD POINTS!!
Which series has a sum of 5?
Answer:
C
Step-by-step explanation:
The formula is S=a1/1-r
The series third has a sum of 5 option (C) is correct because the sequence represents the sum of the infinite terms.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a series shown in the picture.
The geometric sequence is shown in the options.
As we know, in the geometric sequence there is a first term and common difference
In the first sequence:
First term a = 2
Common difference = 2(0.1)/2
Common difference d = 0.1
The sum of the infinite series is:
S = a/(1 - r)
S = 2/(1 - 0.1)
S = 2.22
In the second sequence:
First term a = 15
Common difference = 15(0.3)/15
Common difference d = 0.3
The sum of the infinite series is:
S = a/(1 - r)
S = 15/(1 - 0.3)
S = 21.42
In the third sequence:
First term a = 4
Common difference = 4(0.2)/4
Common difference d = 0.2
The sum of the infinite series is:
S = a/(1 - r)
S = 4/(1 - 0.2)
S = 5
Thus, the series third has a sum of 5 option (C) is correct because the sequence represents the sum of the infinite terms.
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In a circle, a 225 degrees sector has area 490pi in2. What is the radius of the circle?