First, how many ways are there for the 1st poster?
It can be the first, the 2nd, the 3rd, the 4th, or the 5th.
How many ways are there for the 2nd poster?
there are 4 ways, because one of them is occupied by the first poster
There are 3 ways for the 3rd poster, 2 ways for the 4th poster and 1 way for the 5th poster.
Multiply the number of ways together : 120 ways
These are the ways we can arrange the 5 posters ↓
[tex]\boxed{\\\begin{minipage}{2 cm}poster~1 \\ \\ \end{minipage}}[/tex] [tex]\boxed{\\\begin{minipage}{2cm}poster~2 \\ \\ \end{minipage}}[/tex] [tex]\boxed{\\\begin{minipage}{2cm}poster~3 \\ \\ \end{minipage}}[/tex] [tex]\boxed{\\\begin{minipage}{2cm}poster~4 \\ \\ \end{minipage}}[/tex] [tex]\boxed{\\\begin{minipage}{2cm}poster~5 \\ \\ \end{minipage}}[/tex]
We could replace P1 (Poster 1) with any of the 4 posters here, and do the same thing with the other posters...
Overall, believe it or not, there are 120 ways to arrange these 5 posters.
A quick way to calculate this is
5!=5*4*3*2*1
120
Number of ways ↓120
hope helpful ~
There are 120 different ways the posters can be arranged in a row
How many different ways can the posters be arranged in a row?from the question, we have the following parameters that can be used in our computation:
Number of posters = 5
This means that
n = 5
The different ways the posters can be arranged in a row is calculated as
Ways = n!
So, we have
Ways = 5!
Expand
Ways = 5 * 4 *3 * 2 * 1
Evaluate
Ways = 120
Hence, the number of ways is 120
Read mroe about permutation at
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What is the answer
2^12=
Answer:
2^12=2*2*2*2*2*2*2*2*2*2*2*2=4*4*4*4*4*4=16*16*16=256*16=4096
Step-by-step explanation:
Find the mean median mode range for the following data 89 78 91 90 89 97
Answer:
Mean would be 84, Mode would be 89, Range would be 19.
Step-by-step explanation:
Mean- 89 +78 + 91 + 90 + 89 + 97= 534
534 divided by 6= 89
Mode- There are 2 89's so thats your mode. Mode is your most frequent number.
Range- 97-78=19. For range you have to subtract your highest number by your lowest.
Happy to help you :)
Answer:
Mean: 89
median: 89.5
mode: 89
range: 19
Step-by-step explanation:
MeanMean is the total/amount of itemsthe total = 534the amount of items is 6534/6 = 89Medianthe median is the middle numberthe median for odd lists is the middle between the middle two numbersSort the list low to high : 78 89 89 90 91 97the middle numbers are 89 and 90the middle between these is 89.5ModeMode is the most common number89 appears twice, it is the most commonRangerange is the highest - lowest number97 - 78 = 19Find the measure of an angle between 0° and 360° coterminal with the given angle.
-540°
Answer:
Los ángulos coterminales son ángulos que tienen como lado inicial el eje x y tienen el lado terminal común.
Por ejemplo un ángulo de 20º tendría un ángulo cotermiunal en 360º+20º=380º ó en 360º×2+20º= 720º+20º=740º.
a)2560º÷360º =7 ⇒ 7×360º+40º, luego 40º será su ángulo coterminal entre 0º y 360º
b) 3.600º÷360º= 10 ⇒ 10×360º+0, luego 0º será su ángulo coterminal entre 0º y 360º
c) 1.090º÷360º= 3 ⇒ 3×360º+10º, luego 10º será su ángulo coterminal entre 0º y 360º
Step-by-step explanation:
Primero lo que necesitas saber es que los ángulos coterminales son ángulos que tienen como lado inicial el eje x y tienen el lado terminal común.
Por ejemplo: un ángulo de 20º tendría un ángulo coterminal en 360º+20º=380º ó en 360º×2+20º= 720º+20º=740º.
Apartir de lo anterior, aplicamos lo siguiente:
2560º÷360º =7 ⇒ 7×360º+ 40º,
Respuesta: 40º será su ángulo coterminal entre 0º y 360º.
If f(x) = 3(x + 4), find f(2).
Answer:
18
Step-by-step explanation:
f(x) = 3(x + 4)
f(2) = 3(2 + 4)
3 x 2 = 6
3 x 4 = 12
f(2) = 6 + 12
f(2) = 18
Please tell the answer 5*25=
Answer:
5*25=125
Step-by-step explanation:
Answer:
The answer would be 125
Step-by-step explanation:
A bookcase has a mass of 20 kilograms. A book in the bookcase has a mass of 500 grams.
How many books of the same mass would it take to equal the mass of the bookcase?
Enter your answer in the box.
Answer:
Step-by-step explanation:
Remark
You have to convert one of the numbers. It doesn't matter which one, but you can't simply divide one into the other the way the numbers stand.
Conversion
20 kilograms = 20 * 1000 grams / kg
20 kilograms = 20000 grams
Formula
Number of books = mass of bookcase / mass of 1 book
Givens
number of books = ??
mass of bookcase = 20000 grams
mass of one book = 500 grams
Solution
number of books = 20000 / 500
number of books = 40
Answer: 40 books = mass of bookcase
how is a slope triangle and a right triangle related?
Answer:
A slope triangle is an imaginary triangle that helps you find the slope of a line or a line segment
Step-by-step explanation:
hope this helps
pls mark brainliest
I will award brainliest to whoever correctly answers this!
Answer:
To find GCF we need to find what these expressions have in common
30x²=5*3*2x²
45x⁵=5*3*3x²x³
Now we can see, that GCF=5*3*x² = 15x²
Answer :
15x²
Step-by-step explanation:
[tex]30x^{2}=2\times \left( 15x^{2}\right) \\45x^{5}=3x^{3}\times \left( 15x^{2}\right)[/tex]
Then the greatest common factor is 15x²
Which functions are linear?
A. y=x - 2
B. y=3/x + 2
C. y = 1/2x + 8
D. y = 2x - 4
E. y = 8x^2 - 2
Answer:
the linear is letter CStep-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧PLEASE ANSWER!
(true or false statements)
Thanks :)
need some help with the question in the image
cheers
Answer:
the other candidate received 1875 votes
Step-by-step explanation:
if you add 50 and 25 percent you get 75 which leaves only 25 percent and to get the number or votes multiply 7500 by 0.25 or 7500 divided by 4
Find the area of each polygon each square on the grid represents 1 square centimeter the answers are mixed up at the bottom of the page cross out the answers as you complete the problems
Answer:
Step-by-step explanation:
Area of composite shapes:
13) Figure 1:
Figure1 is a rectangle.
l = 4 cm & w = 2 cm
Area of figure1 = l * w
= 4 * 2
= 8 cm²
Figure2:
Figure2 is a parallelogram
base = b = 4 cm
h = 4 cm
Area of figure2 = b * h
= 4 * 4
= 16 cm²
Area of composite shape = 8 + 16
= 24 cm²
14) Figure1:
Figure 1 is a trapezium. a & b are parallel sides and h is the height
a = 4 cm ; b = 6 cm; h = 4 -2 = 2 cm
[tex]\sf Area \ of \ figure1 =\dfrac{(a+b)*h}{2}[/tex]
[tex]= \dfrac{(4 +6)*2}{2}\\\\= 10 \ cm^{2}[/tex]
Figure2:
Figure2 is rectangle. l = 6 cm ; w = 2 cm
Area of figure2 = 6*2
= 12 cm²
Area of composite shape = 10 + 12
= 22 cm²
15) Figure 1 & figure 2:
Figure 1 and figure 2 are congruent triangles
base = b = 3 cm & h= 4 cm
[tex]\sf area \ of \ figure1 \ and \ figure 2 = 2*\dfrac{1}{2}b*h[/tex]
= b *h
= 3 * 4
= 12 cm²
Figure3:
Figure 3 is a square.
side = 3 cm
Area of figure3 = side *side
= 3 * 3
= 9 cm²
Area of composite shape = 12 + 9
= 21 cm²
The image shows Megan's checkbook register without the balance calculated after each transaction.1. What was Megan's balance after her Skate Inc purchase on 4/16?2. What was Megan's lowest balance recorded? What date did it occur?
Answer:
Step-by-step explanation:
This is a horrible credit union they charged $3, just for her to have access to her own money, then they overdraft fee charged her for $20 :/ she spent 62 dollars , that she had, but b/c they charged her 3 dollars to access her money, it made her also get the overdraft fees. This seems like usery to me and this bank should be closed. Fined , and barred from doing business. >:/
so on the 11th she was -23 dollars, she was in debt to her bank 23 dollars,
88-23=65
on the 16th she was 65-43 = 22 postive :)
Laura babysat 8 nights during the month of July. She earned $22, $30, $35, $25, $25, $20, and $27 for seven nights. How much did she earn the eighth time if the mean of the data is $26.50?
Answer:
$28
Step-by-step explanation:
Given:
data = [22,30,35,25,25,20,27]
For eight night, the new list is:
new_data = [22,30,35,25,25,20,27,x]
Mean = 26.50
Mean Formula:
[tex]\displaystyle \large{m=\dfrac{x_1+x_2+x_3+...+x_n}{n} }[/tex]
Therefore:
[tex]\displaystyle \large{26.50=\dfrac{22+30+35+25+25+20+27+x}{8}}[/tex]
Multiply both sides by 8:
[tex]\displaystyle \large{26.50\cdot 8=\dfrac{22+30+35+25+25+20+27+x}{8} \cdot 8}\\\displaystyle \large{212=22+30+35+25+25+20+27+x}[/tex]
Solve for x:
[tex]\displaystyle \large{212=22+30+35+25+25+20+27+x}\\\displaystyle \large{212=184+x}[/tex]
Subtract 184 both sides:
[tex]\displaystyle \large{212-184=184+x-184}\\\displaystyle \large{28=x}[/tex]
Therefore, she will earn $28 in eighth night
The attachment below is the result of combining all eighth data as we get 26.5 through python language with numpy package.
Answer: $28.
Step-by-step explanation: To solve this problem, we should first find the mean of the data with the seven payments that are given already:
22 + 30 + 35 + 25 + 25 + 20 + 27 = 184.
184 / 7 = 26.2857142857.
In order to figure out how much she made the eighth night with the mean of the data being $26.50, we can pick a number and add it to 184 (the total of the seven payments), and divide the total by 8. The number we can try is 28. The work is done below:
184 + 28 = 212.
212 / 8 = $26.50.
Therefore, Laura's payment on the eighth night was $28.
Hope this helps! :)
Which number is a solution of the inequality x less-than negative 4? Use the number line to help answer the question. A number line going from negative 9 to positive 1.
-5
-3
0
2
-5 is the solution to the inequality x < -4 and the interval is the x ∈ (-∞, -4) option first is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have inequality:
x < -4
The solutions to the above inequality will lie in the region (-∞, -4)
x ∈ (-∞, -4)
From the number line, we can mark the region for the above interval (refer attached picture)
Thus, -5 is the solution to the inequality x < -4 and the interval is the x ∈ (-∞, -4) option first is correct.
Learn more about the inequality here:
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Carly purchased 9 1/2 pints of ice cream for her party. If each guest will be served exactly 3/5 pints of ice cream what is the greatest number of guests that Carly can serve?
Answer: 15 guests.
Step-by-step explanation:
As the statement says that Carly has 9 1/2 of ice cream and each guest will be served 3/5 pint of ice cream, to determine the number of guests that she can serve, you have to divide 9 1/2 by 3/5:9 1/2÷3/5. 19/2÷3/5=95/6= 15According to this, the greatest number of guests that Carly can serve is 15 guests.
What is the 15th term of 8,32,128,…
Answer:
2147483648
Step-by-step explanation:
The pattern being used is x4.
8 x 4 = 32
32 x 4 = 128
128 x 4 = 512
512 x 4 = 2048
2048 x 4 = 8192
8192 x 4 = 32768
32768 x 4 = 131072
131072 x 4 = 524288
524288 x 4 = 2097152
2097152 x 4 = 8388608
8388608 x 4 = 33554432
33554432 x 4 = 134217728
134217728 x 4 = 536870912
536870912 x 4 = 2147483648
Can anyone help me with my homework
Step-by-step explanation:
table for y = 3x - 2 and graph
the resulting line.
*
for y = 2x + 2 and
graph the resulting
line.
.
2
- 1
0
1
2
1
-8
--5
-2.
1
Please help it’s due tonight
Answer:
SQR = 118
RQT = 62
Step-by-step explanation:
SQR + RQT = 180
10x - 22 + 3x + 20 = 180
13x - 2 = 180
13x = 182
x = 14
Answer:
m∠RQT=62°
m∠SQR=118°
Step-by-step explanation:
m∠SQT=m∠SQR+m∠RQT
180°=(10x-22°)+3x+20°
180°=13x-2°
180°+2°=13x
182°=13x
x=182÷13=14°
x=14°
So,
m∠RQT=3(14)+20°=62°
And,
m∠SQR=10(14)-22°=140°-22°
m∠SQR=118°
Sophie earned a grade of 72% on her multiple choice history final that had a total of 200 problems. How many problems on the final exam did Sophie get wrong?
Answer:
56 questions.
Step-by-step explanation:
percent got wrong = 100% - percent got correct.
percent got correct = 72%
percent got wrong = 100%-72% = 28% or 0.28
questions got wrong = total questions * percent got wrong.
total questions = 200
questions got wrong = 200*0.28 = 56 questions
Therefore, Sophie got 56 questions wrong.
Hope this helps!
Please mark as brainliest!
Given g(x) = x² - 6x - 16, which statement is true?
The correct choice of this question with the given polynomial is "The zeros are -2 and 8, because the factors of g are (x + 2) and (x - 8)". (Correct choice: H)
How to analyze a second orden polynomial with constant coefficients
In this case we have a second order polynomial of the form x² - (r₁ + r₂) · x + r₁ · r₂, whose solution is (x - r₁) · (x - r₂) and where r₁ and r₂ are the roots of the polynomial, which can be real or complex numbers but never both according the fundamental theorem of algebra.
If we know that g(x) = x² - 6 · x - 16, then the factored form of the expression is g(x) = (x - 8) · (x + 2). Hence, the correct choice of this question with the given polynomial is "The zeros are -2 and 8, because the factors of g are (x + 2) and (x - 8)". [tex]\blacksquare[/tex]
To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/11536910
Lincoln invested $49,000 in an account paying an interest rate of 6\tfrac{1}{8}6
8
1
% compounded daily. Eli invested $49,000 in an account paying an interest rate of 5\tfrac{5}{8}5
8
5
% compounded continuously. After 20 years, how much more money would Lincoln have in his account than Eli, to the nearest dollar?
Using compound interest and continuous compounding, it is found that Lincoln would have $15,856 more in his account than Eli.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.Hence, for Lincoln, we have that the parameters are as follows:
P = 49000, r = 0.06125, n = 365, t = 20.
Hence the amount will be of:
[tex]A_L(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A_L(20) = 49000\left(1 + \frac{0.06125}{365}\right)^{365 \times 20}[/tex]
[tex]A_L(20) = 166787[/tex]
What is continuous compounding?The amount is given by:
[tex]A(t) = Pe^{rt}[/tex]
For Eli, we have that r = 0.05625, hence the amount will be given by:
[tex]A(t) = Pe^{rt}[/tex]
[tex]A_E(20) = 49000e^{0.05625 \times 20} = 150931[/tex]
What is the difference?It is given by:
[tex]D = A_L(20) - A_E(20) = 166787 - 150931 = 15856[/tex]
Lincoln would have $15,856 more in his account than Eli.
More can be learned about compound interest at https://brainly.com/question/25781328
Please please help!!!!! Will mark brainliest if correct!!!!!!!
Find the measure of the arc or angle indicated.
A. 118°
B. 62°
C. 124°
Answer: A
Step-by-step explanation:
Miss Tamika just started an art class. She had 10 children enrolled for the first class. · Before she began the art lesson, she told each of the children to shake hands with ! each of the other children and introduce I themselves. Miss Tamika did not include i herself because she had already met each i of the children. How many handshakes were there between all of the children?
Answer:
45 Handshakes.
Step-by-step explanation:
10 people shake hands.
So, each person will shake hands with 9 other people.
Total number of handshakes = 90/2 = 45
PLS ANSWER FAST!! WILL GIVE BRAINLIEST!!
Answer:
500^1/3
Step-by-step explanation:
Since it is a cube root, the exponent is 1/3.
Which type of data deals with causes and/or relationships?
Determine whether each quadrilateral must be a rectangle. Explain.
Answer:
All squares must be rectangles.
Step-by-step explanation:
This quadrilateral is known as a square. A square is a closed figure with four sides of equal lengths and four right angles. By definition, a rectangle is a closed figure with four straight sides and four right angles. So comparing both of these definitions, a square must be a rectangle. Rectangles sides are not all equal. This about about the only difference.
Write an equation in slope-intercept form for the graph shown. (1,0) (0,-2)
Answer:
y= 2x -2
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is they y-intercept
[tex]\textcolor{violet}{\text{\textcircled{1} Find the slope}}[/tex]
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
[tex]slope = \frac{0 - ( - 2)}{1 - 0} [/tex]
[tex]slope = \frac{0 + 2}{1} [/tex]
slope= 2
[tex]\textcolor{violet}{\text{\textcircled{2} \text{Substitute value of slope into m}}}[/tex]
y= 2x +c
[tex]\textcolor{violet}{\text{\textcircled{3} Find c}}[/tex]
Given that the y-intercept occurs at (0, -2), c= -2.
[tex]\textcolor{violet}{\text{\textcircled{4} Substitute the value of c into the equation}}[/tex]
y= 2x -2
A shipping container is in the form of a right rectangular prism and it can hold 2640 cubic feet of shipped goods when it is full. Its width is 8 ft and its height is 8 ft 3 inches. Find the length of the container in feet. Round your answer to the nearest tenth if necessary.
Answer:
39.76
Step-by-step explanation:
8 x 8.3 = 66.4
2640/66.4 = ( when rounded to the nearest tenth) 39.76
NEED HELP FAST PLEASE
Which statement correctly describes the data shown in the scatter plot?
Question 3 options:
The scatter plot shows a positive association
The point (1,1) is an outlier.
The scatter plot shows a negative association
The scatter plot shows no association.
Answer:
The scatter plot shows a positive association
Step-by-step explanation:
the points show an increasing tendency