There are 2 ways by which four men and four women can be seated in a row such that no two men sit next to each other.
OrganizationTo determine in how many ways can four men and four women can be seat in a row such that no two men sit next to each other, the following organizational chart must be made:
M - W - M - W - M - W - M - W = 1W - M - W - M - W - M - W - M = 2Any other mode of organization will assume the presence of two men sitting next to each other.Therefore, there are 2 ways by which four men and four women can be seated in a row such that no two men sit next to each other.
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Find the volume of a sphere, whose diameter is 8 mm.(Take n = 3.14) (Round your answer to the nearest tenth).
[tex] \\ [/tex]
Diameter sphere = 8mm[tex]\small \pi = 3.14[/tex][tex] \\ [/tex]
To find:-Volume of sphere[tex] \\ [/tex]
Solution:To find volume of sphere first we have to convert Diameter into radius .
Diameter = 2 radius
So:-
⇢Diameter = 2 radius
[tex]\\[/tex]
⇢Radius = Diameter/2
[tex]\\[/tex]
⇢Radius = 8/2
[tex]\\[/tex]
⇢Radius = 2 × 2 × 2/2
[tex]\\[/tex]
⇢Radius = 2 × 2/1
[tex]\\[/tex]
⇢Radius = 4/1
[tex]\\[/tex]
⇢Radius = 4 mm.
[tex]\\[/tex]
Now Finally Let's find volume of sphere.
We know:-
[tex]\\[/tex]
[tex]\star\boxed{\rm Volume~of~sphere=\frac{4}{3}\pi r^3}[/tex]
so:-
[tex]\\\\[/tex]
[tex]\dashrightarrow \sf Volume~of~sphere=\frac{4}{3}\times 3.14 \times 4^3\\[/tex]
[tex]\\\\[/tex]
[tex]\dashrightarrow \sf Volume~of~sphere=\dfrac{4}{3}\times \dfrac{314}{100} \times 4^3\\[/tex]
[tex]\\\\[/tex]
[tex]\dashrightarrow \sf Volume~of~sphere=\dfrac{4}{3}\times \dfrac{314}{100} \times 4\times 4\times 4\\[/tex]
[tex]\\\\[/tex]
[tex]\dashrightarrow \sf Volume~of~sphere=\dfrac{4}{3}\times \dfrac{314}{100} \times 64\\[/tex]
[tex]\\\\[/tex]
[tex]\dashrightarrow \sf Volume~of~sphere=1.33\times \dfrac{314}{100} \times 64\\[/tex]
[tex]\\\\[/tex]
[tex]\dashrightarrow \sf Volume~of~sphere= \dfrac{1.33\times314 \times 64}{100}\\[/tex]
[tex]\\\\[/tex]
[tex]\dashrightarrow \sf Volume~of~sphere= \dfrac{26,727.68}{100}\\[/tex]
[tex]\\\\[/tex]
[tex]\dashrightarrow \sf Volume~of~sphere=26,7.28 (approx)\\[/tex]
[tex]\\\\[/tex]
[tex] \therefore \underline{ \textbf{ \textsf{Volume~of~sphere = \red{26,7.28(approx)}}}}[/tex]
Emily has some marbles. After Mrs. Kim gave her another 21 marbles, the number of marbles became four times the number of marbles at first. How many marbles does Emily have now?
Answer:
Emily has 84 marbles now
Step-by-step explanation:
21×4
=84
In-n-Out sells their cheeseburger for 4.50 but they charge .50 for extra patties. Carls Jr. sells a cheeseburger for 4.25 and will charge .75 cents for an extra patty. When will the burgers cost the same amount? How many extra patties do they have to order? Solve using tables.
Answer:
just add 0.75 on the bottom
Step-by-step explanation:
JADA, DIEGO, AND ELENA EACH USE THE SAME SPINNER THAT HAS FOUR (NOT NECESSARILY EQUAL SIZED) SECTIONS MARKED A, B, C, AND D.
JADA SAYS, "THE PROBABILITY OF SPINNING B IS 0.3 BECAUSE I SPUN 10 TIMES, AND IT LANDED ON B 3 TIMES."
DIEGO SAYS, "THE PROBABILITY OF SPINNING B IS 20% BECAUSE I SPUN 5 TIMES, AND IT LANDED ON B ONCE."
ELENA SAYS, "THE PROBABILITY OF SPINNING B IS 2/7 BECAUSE I SPUN 7 TIMES, AND IT LANDED ON B TWICE."
Based on their methods, which probability do you think is most accurate? Explain your reasoning.
im stumped on this question. someone help me plss
Answer:
One of the answers could be linear
Step-by-step explanation:A linear graph is always a straight line, and this looks to demonstrate that. Sorry if this is incorrect, just my understanding.
A plane has traveled 26 miles on a course heading 48º east of north. How far north (x) has the plane traveled at this point, to the nearest tenth of a mile?
Answer:
17.39
Step-by-step explanation:
48+a = 90
x= 42
sin 42 = x / 26
x = 17.39
x y
−1 −10
3 14
y= ?x + (?)
Answer:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
18. 3
+
11
17
3
4
co
loo
8
Step-by-step explanation:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
The quotient of 10 and a
Answer:
The answer I believe is 10? Sorry if i am wrong
Step-by-step explanation:
in algebra, if there is a variable without a coefficient, then it just means 1. So a = 1, and 10 ÷ 1 = 10
(4k3 +3k3) - (5k3 + 2k4)
Answer:
-2k
Step-by-step explanation:
Answer: You combine like terms
2k^3-2k^4
Which of these is a service industry?
A. a textile plant
B. an oil refinery
C. an aircraft manufacturer
D. a dry-cleaning store
I think its either c or b but more but not so sure.... help......
Its D i hope that helped
A bag contains 7 yellow marbles and 35 red marbles. If a representative sample contains 2 yellow marbles, then how many red marbles would you expect it to contain? Explain.
30 maybe, not to sure, sorry if its wrong
This is with tangents I have already figured out one portion of the problems please help
Answer:
-5
Step-by-step explanation:
negative times negative is positive so squared can be negative or positive
Answer:
x = -5, x = 5
Step-by-step explanation:
Tangents to a circle drawn to a point outside the circle are equal in length. Therefore, AB = AC.
Given:
AB = x² + 8AC = 33AB = AC
⇒ x² + 8 = 33
Subtract 8 from both sides: x² = 25
Square root both sides: x = ±5
Therefore, x = -5, x = 5
How do you do this problem and show work
Answer
the answer is 16 but i cant tell if there is anything after that is there?
Step-by-step explanation:
Answer:
1/x^8
Step-by-step explanation:
x^3*x^2 = x^5
x*x*x*x*x*x*x = x^7
x^5 / x^7 = 1/x^2
(1 / x^2)^4 = 1^4 / x^2*4 = 1/x^8
What is the measure of angle Y in this figure
Y=____ degrees
Answer:
163
Step-by-step explanation:
What's great about these problems is that when there is a line that is divided by another line, causing 2 angles, the 2 angles must equal 180 degrees. That means the 163-degree angle + either the x or the z angle would equal 180 degrees. The second best part about this is that if it is separated how yours is, with 2 lines, opposite angles are equal. That means that angle x and angle z are equal, as well as the 163 angle is equal to the y angle. Hope this helps with more than just this problem!
In the table to the right, the P(0) is blank so we can assume P(O) = 0 What does a probability equal to zero mean?
Answer:
It means there is no chance this will happen or in other words a 0% chance
Step-by-step explanation:
The answer need help fast please
Answer:
D.) Equation (4)
Step-by-step explanation:
1. y= (2)+6 =8
2. y=2(2)+4 =8
3. y= 3(2)+2 =8
4. y=5(2)-4 =6
Which decimal is less than 2.87? 2.859 C. 2.971 b. 2.8711 d. 2.88 Please select the best answer from the choices provided
Answer:
Step-by-step explanation:
2.859 is less than the rest
Answer:
2.859 is ur answer.
..............
ANSWER PLS FREE BRAINLIEST
Answer:
[tex]x = \frac{-1}{4}[/tex]
Step-by-step explanation:
[tex]\frac{2}{x} = -8[/tex]
[tex]2 = -8x[/tex]
[tex]x = \frac{-2}{8}[/tex]
[tex]x = \frac{-1}{4}[/tex]
Answer:
[tex]\sf x=-\cfrac{1}{4}[/tex]
Step-by-step explanation:
[tex]\sf \cfrac{2}{x}=-8[/tex]
[tex]\sf \cfrac{2}{x}x=-8x[/tex]
[tex]\sf 2=-8x[/tex]
[tex]\sf \cfrac{-8x}{-8}=\cfrac{2}{-8}[/tex]
[tex]\sf x=-\cfrac{1}{4}[/tex]
(6,5) and (3, 7.5)
slope:
Step-by-step explanation:
Slope formula:
[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]
m = slope
Substitute the points into the formula format:
[tex] \frac{7.5}{3} - \frac{5}{6} = m[/tex]
Solve:
[tex] \frac{ 7.5}{3} - \frac{5}{6} = \frac{2.5}{ - 3} [/tex]
[tex] \frac{ 2.5}{ - 3} = - \frac{5}{6} [/tex]
The slope equals -5/6.
100 points for user sweet Jennifer Whenever we observe a distant planet, star or galaxy, we are seeing it as it was hours, centuries or even millennia ago. This is because light travels at a finite speed (the speed of light) and given the large distances in the Universe, we do not see objects as they are now, but as they were when the light was emitted.
Find the value of x.
Step by Step
Answer:
sorryi dont know
Step-by-step explanation:
The soccer team is selling bags of popcorn for $3 each and cups of lemonade for $2 each. To make a profit, they must collect a total of more than $120. Solutions can be represented by coordinates (p,c), where p represents the number of bags of popcorn sold and c represents the number of cups of lemonade sold. Is the coordinate (10,45) a solution to the inequality? Explain your reasoning or show your work.
3x + 2y ≥ 120
you are asking me to confirm whether the below statement is true
10 * 3 + 45 *2 ≥ 120 ?
30 + 90 = 120
120 ≥ 120
its not greater but its equal which means it is a possible solution
Complete the function operation.
For the function [tex]\frac{32}{x+3}[/tex], find [tex](g^{-1} * g)(5)[/tex]
Answer:
5
Step-by-step explanation:
[tex]g(x)=\frac{32}{x+3}\\\\\implies g^{-1}(x)=\frac{32}{x}-3\\\\g^{-1}o \ g=[g(g^{-1}(x))]=\frac{32}{\frac{32}{x}-3+3}=x\\\\\implies (g^{-1}o \ g)(5)=5[/tex]
Joel borrowed 518,000 for 6 years at simple interest to purchase a vehicle. If Joel repaid a
total of $20,953.80, at what rate did he borrow the money?
Answer:
2.735%
Step-by-step explanation:
The amount due on principal P after t years at rate r is ...
A = P(1 +rt)
Filling in the given values, we can solve for r:
20,953.80 = 18000(1 +6r)
20953.80/18000 -1 = 6r = 0.1641
r = 0.1641/6 = 0.02735 = 2.735%
Joel's interest rate was 2.735%.
Find the measure of x
Answer:
x=3.24
Step-by-step explanation:
cos(29)=x/3.7
x=3.7 cos(29)
x=3.24
Hope it helps!
Bella needs 15 quarters of paint for one wall in her cellar she has 2 1/4 gallons left over from painting the other walls she has another 5 quarts that her neighbor gave her is that enough paint
0.0455 quarters of paints is not enough to paint the wall. she needs 15 quarters.
She needs 15 quarters of paint for one wall .
She has 2 1 / 4 gallons left over from painting the other walls and she also has another 5 quarts that her neighbour gave her.
Therefore,
Conversion of measurement units4 quarts = 1 gallon
5 quarts = 5 / 4 gallons
Then,
total gallon = 9 / 4 + 5 / 4 = 14 / 4 = 7 / 2 gallons
Therefore,
1 gallons = 0.01301053418982 quarters
7 / 2 gallons = ?
cross multiply
number of quarters = 3.5 × 0.01301053418982
number of quarters = 0.0455 quarters
Therefore, 0.0455 quarters of paints is not enough to paint the wall. she needs 15 quarters.
learn more on algebra here; https://brainly.com/question/821377
Of the following transformations, which of the following is not one that maintains congruence?
a. A dilation with a scale factor of 0.5
b. A reflection over the x-axis
c. A translation 1 unit left
d. A dilation with a scale factor of 1
Answer:
A because its not the one that maintains congruence
Step-by-step explanation:
^^^^^
How many kilograms is a rice packet that weighs 750 g?
(Please answer quick!)
Answer:
0.750 kg
Step-by-step explanation:
Hi there ,
As you know 1 kg = 1000g
So when we convert g to kg then we divide the given value of grams by 1000.
So in this case we have 750 grams, changing it we have :
[tex]\frac{750}{1000}[/tex]
Since there are 3 zeroes in 1000 we move the decimal point by 3 places to the left leaving the answer as : 0.750 kg or [tex]\frac{750}{1000}[/tex] kg
Please mark me as brainliest if you found the above answer helpful
How to Calculate discount rate
Answer:
[tex]\frac{i\times d}{100}[/tex]
Step-by-step explanation:
To calculate the discount, we multiply the initial amount (i) to the discount (d) and then divide that answer by 100. After we find that answer we then subtract it from the initial price.
For example:
A computer costs $695 and it has a 7% discount. Calculate the total costs of the computer after the 7% discount.
[tex]\frac{695\times7}{100} =695\times7=4865\div100=48.65[/tex]
[tex]695-48.65=646.35[/tex]
[tex]c=646.35[/tex]
The computer (after a 7% discount) costs "$646.35 dollars."
Hope this helps.
Plsss someone helpppp find the apothem
Answer:
Step-by-step explanation:
53. A=6.
54.we use the Pythagorean theorem =>
8^2=(8:2)^2+x^2
64=16+x^2
x^2=64-16=48
=> A=sqrt(48)= 4*sqrt(3).
You can also visit this site,I think it will be helpful for you to understand the solution better: https://www.wikihow.com/Calculate-the-Apothem-of-a-Hexagon