Using the Fundamental Counting Theorem, it is found that the flags can be displayed in 518,400 ways.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, we have that odd positions get South American countries, hence:
[tex]n_1 = 6, n_3 = 5, n_4 = 3, \cdots, n_11 = 1[/tex]
Even positions get European countries, hence:
[tex]n_2 = 6, n_4 = 5, \cdots, n_12 = 1[/tex]
Hence, since the number of ways for both the South American and European countries is the factorial of 6, we have that:
N = 6! x 6! = 518,400
The flags can be displayed in 518,400 ways.
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-2·-9
please show work
Answer:
18
Step-by-step explanation:
-2 · -9 = 18
The two negatives cancel each other out.
It is the same as multiplying 2 · 9 = 18
Hope I helped :)
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Answer:
subtract 9 from negative 2 and you will get -11 i hope this was what you were looking for
Step-by-step explanation:
If Michael had 20 questions on his test and he got 95% as his grade, how many questions did he get wrong?
Answer:
He got one wrong.
Step-by-step explanation:
I did the same thing recently.
circle the greater number.
G. 4
— 0.56
5
Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
4/5 = 0.8
0.8 is greater than 0.56
50 POINTS FOR CORRECT AWNSER
Take 2 points
(-7,0)(0,-2)Slope:-
[tex]\\ \sf\longmapsto \dfrac{-2}{7}=\dfrac{-2}{7}=m[/tex]
Now find equation of line in point slope form
[tex]\\ \sf\longmapsto y=-2/7(x+7)[/tex]
[tex]\\ \sf\longmapsto y=-2/7x-2[/tex]
Put (0,0)
[tex]\\ \tt\Rrightarrow 0=0-2[/tex]
[tex]\\ \tt\Rrightarrow 0\neq -2[/tex]
shaded region is away from origin .
So the inequality is
[tex]\\ \sf\longmapsto y\leqslant -2/7x-2[/tex]
Answer:
Take 2 points
(-7,0)
(0,-2)
Slope:-
Now find equation of line in point slope form
Put (0,0)
shaded region is away from origin .
So the inequality is
this answer is correct i got it right when i used it.
GUY'S I need HELP PLEASE!!!!
Which polynomial is factored completely?
O 4(4x4-1)
موت پر رائے - تو )2
O
3x9x2+1
O 5x2-17%+14
A bakery sells rolls in units of a dozen. The demand X (in 1000 units) for rolls has a gamma distribution with parameters α = 3, θ = 0.5, where θ is in units of days per 1000 units of rolls. It costs $ 2 to make a unit that sells for $ 5 on the first day when the rolls are fresh. Any leftover units are sold on the second day for $ 1. How many units should be made to maximize the expected value of the profit?
Answer:
The value is [tex]E(X) = \$ 1.7067 [/tex]
Step-by-step explanation:
From the question we are told that
The parameters are α = 3, θ = 0.5
The cost of making a unit on the first day is c = $2
The selling price of a unit on the first day is s = $5
The selling price of a leftover unit on the second day is v = $ 1
Generally the profit of a unit on the first day is
[tex]p_1 = 5 - 2[/tex]
[tex]p_1 = \$3 [/tex]
The profit of a unit on the second day is
[tex]p_2 = 1 - 2[/tex]
=> [tex]p_2 = - \$1 [/tex]
Generally the probability of making profit greater than $ 1 is mathematically represented as
[tex]P(X > 1 ) = Gamma (X ,\alpha , \theta)[/tex]
=> [tex]P(X > 1 ) = Gamma (1 ,3 , 0.5)[/tex]
Now from the gamma distribution table we have that
[tex]P(X > 1 ) = 0.67668[/tex]
Generally the probability of making profit less than or equal to $ 1 is mathematically represented as
[tex] P(X \le 1 ) = 1 - P(X > 1 )[/tex]
=> [tex] P(X \le 1 ) = 1 - 0.67668[/tex]
=> [tex] P(X \le 1 ) = 0.32332[/tex]
So the probability of making $3 is [tex]P(X > 1 ) = 0.67668[/tex]
and the probability of making -$1 is [tex] P(X \le 1 ) = 0.32332[/tex]
Generally the value of profit per day is mathematically represented as
[tex]E(X) = 3 * P(X > 1 ) + (-1 * P(X \le 1 ) )[/tex]
=> [tex]E(X) = 3 * 0.67668 + (-1 * 0.32332 )[/tex]
=> [tex]E(X) = \$ 1.7067 [/tex]
find the value of X and y
Answer:
x=24cm
y=20,78cm
Step-by-step explanation:
sen(30)=[tex]\frac{12}{x}[/tex] -> x*sen(30)=12 -> x=[tex]\frac{12}{sen(30)}[/tex]= 24cm
cos(30)=y/x -> cos(30)= y/24 -> y=24*cos(30)= 20,78cm
100 POINTS!!!
What is the slope of f(x) and g(x)
f(×) = 5x - 2
A. The slope of f(x) is 5 and the slope of g(x) is 2.
B. The slope of f(x) is 2 and the slope of g(x) is 5.
C. The slope of f(x) is -2 and the slope of g(x) is - 3.
D. The slope of f(x) is -3 and the slope of g(x) is -2.
EXPLAIN
Answer:
A.
Step-by-step explanation:
the slope of a line is behind the x in a linear equation.
f(x)=5x-2 is a linear equation
So, the slope of f(x) is 5.
Since A is the only choice with this answer, A is correct.
evaluating expressions (4.6*10^9)+(1.7*10^7)
if anyone knows this helppp!!!111
Answer:
Step-by-step explanation:
let x be the unknown the number
x
x/4
x/4-3
hope this helps
Answer:
x/4 - 3
Step-by-step explanation:
The question tells us to use x for unknowns. Let's do that:
x
then we divide by 4:
x/4
and finally subtract 3:
x/4 - 3
That's it!
I hope this helps :)
Which of the following products is negative?
Select all that apply.
A. (–4)(–9)
B. (–4)(9)
C. (6)(6)
D. (–6)(–6)
E. (6)(–6)
Answer:
b and e
Step-by-step explanation:
trust '
The orbital period, p, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula p = a superscript three-halves. if saturn’s orbital period is 29.5 years, what is its distance from the sun? 9.5 au 19.7 au 44.3 au 160.2 au
The distance of Saturn from the sun is 9.5 astronomical units.
Orbital period p of a planet and the planet’s distance from the sun, a in astronomical units are related by:
[tex]p = a^{3/2}[/tex]
What is the orbital period?The orbital period is the time a given astronomical object takes to complete one orbit around the sun.
Given that Saturn's orbital period is 29.5 years.
So, [tex]29.5 = a^{3/2}[/tex]
[tex]a = 29.5^{2/3}[/tex]
a = 9.5 au
Therefore, the distance of Saturn from the sun is 9.5 astronomical units.
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HELP DUE ASAP!!!! TY
Answer:
factor = x^3-5x+3
Step-by-step explanation:
you need to use long division to solve it.
Find the value of 5% of RS 680?
Answer:
34
Step-by-step explanation:
jasmine has all nickels x and dimes y in her coin jar. if she has 36 coins in all, and four more dimes than. nickels find how much money she has in her coin jar
Answer:
She has 18 nickels and 36-18= 18 dimesSolving steps:
Question: jasmine has all nickels x and dimes y in her coin jar. if she has 36 coins in all, and four more dimes than. nickels find how much money she has in her coin jar
Find: how much money she has in her coin jar
Solution: let's make an equation for this problem
She has 4 more dimes than nikels:y= x+4 Let's use this value for y in the next equation:
x+x+4= 362x= 36x= 18
she has 18 nickels and 36-18= 18 dimes
The required Jasmine has 16 nickles and 20 dimes which constitute $2.80 in her coin jar.
Let's use the given information to set up a system of equations to solve for the number of nickels (x) and dimes (y) in Jasmine's coin jar.
We are given that Jasmine has a total of 36 coins in her jar, so we have the equation:
x + y = 36 -- Equation 1
We are also given that Jasmine has four more dimes than nickels, which can be expressed as:
y = x + 4 -- Equation 2
Now, let's solve this system of equations. We can substitute Equation 2 into Equation 1 to eliminate y:
x + (x + 4) = 36
2x = 36 - 4
x = 16
Now that we have the value of x, we can substitute it back into Equation 2 to find y:
y = x + 4
y = 16 + 4
y = 20
Therefore, Jasmine has 16 nickels (x) and 20 dimes (y) in her coin jar.
To find the total amount of money she has, we need to calculate the value of the nickels and dimes separately:
Value of nickels = 0.05 * 16 = $0.80
Value of dimes = 0.10 * 20 = $2.00
The total amount of money in her coin jar is:
$0.80 + $2.00 = $2.80
Jasmine has $2.80 in her coin jar.
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i need help with please
Answer:
c
Step-by-step explanation:
Emma's sister is nine years older than Emma. Their combined ages add up to 49. How old is Emma?
Is it zero or u defined?
Answer:
0 slope as it is a horizontal line when you graph it
Step-by-step explanation:
on a family vacation, Amy's dad drove the car at a constant speed and traveled 585 miles in 13 hours. At this rate how long would it taken the family to travel 810 miles? What was the car's rate of speed
Answer: 18 hours (Plz mark me brainlest)
Step-by-step explanation:
we know that
Amy's dad drove the car at a constant speed and travel 585 miles in 13 hours
so
using proportion
Find out how long would it have taken the family to travel 810 miles
Let
x -----> the time in hours to travel 810 miles
Answer:
18 hours; rate of speed 45 miles per hour
Step-by-step explanation:
585 miles/13 hours= 45 miles per hour
810 miles/45 miles per hour = 18 hours
HELP ME PLEASE I AM DESPERATE LOTS OF POINTS!!!!! BRAINIEST IF CORRECT PLEASE!!!!
Is this angle supplementary or congruent?
Answer
Step-by-step explanation:
the answer is supplementary because congruent are slant angles
2/3y = 1/4. y = ___?
3/8
5/12
11/12
2 2/3
Answer:
First option
Step-by-step explanation:
Given the following question:
[tex]\frac{2}{3} y=\frac{1}{4}[/tex]
To find the answer we need to isolate the variable, in order to do that we need to use inverse of operations on this problem.
[tex]\frac{2}{3} y=\frac{1}{4}[/tex]
[tex]3\times\frac{2}{3} =2[/tex]
[tex]\frac{1\times3}{4} =\frac{3}{4}[/tex]
[tex]\frac{2y}{2} =y[/tex]
[tex]\frac{3}{4} \div2=\frac{3}{8}[/tex]
[tex]y=\frac{3}{8}[/tex]
Your answer is "y = 3/8" or the first option.
Hope this helps.
$52,500,000 is what percent of $70,000,000?
Answer: 75%
Step-by-step explanation:
Part = 52,500,000
Whole = 70,000,000
[tex]\frac{52,500,000}{70,000,000} =\frac{x}{100} \\[/tex]
Solve for x.
[tex]x=\frac{52,500,000*100}{70,000,000}[/tex]
[tex]x=\frac{5,250,000,000}{70,000,000}[/tex]
[tex]x=75[/tex]
please help me do it now guys
Answer:
(all in index form)
1. 2 x 5 x 3^2
2. 2^2 x 3^4
3. 2^2 x 3 x 11
Step-by-step explanation:
90 = 2, 45 - 5, 9 - 3, 3
324 = 2, 162 - 2, 81 - 9, 9 = 3, 3, 3, 3
132 = 2, 66 - 2, 33 - 3, 11
Answer:
1. 2x3x3x5 or 2 x 3^2 x 5
2. 2^2 x 3^4 or 22x34
3. 2x2x3x11 or 11x12 or 11 2^2x3
Good luck!
Write the equation of the line, in slope-intercept form, with the
following information:
-1
slope:
3
y-intercept: (0, -3)
Answer:
y=3x-3
Step-by-step explanation:
since the line must pass through (0,-3), you must have the second number (or y intercept) in the equation be -3. since the slope must be 3 then it will be shown as 3x. put it all together to get y=3x-3. not sure what the -1 is doing there but y=3x-3 passes through (0,-3)
5x - 7 =3 what’s x
Please help
Answer:
x=2
Step-by-step explanation:
move the 7 with the 3, now is 7+3=10
5x=10
the five cancel with the five, simplify 10 with 5 and is 2
I need this ASAP you need to do it for y
Answer:
Step-by-step explanation:
What is the solution of
X=2+ x-2?
EOF
x = 2
x= 3
x = 2 or x = 3
no solution
Answer:
No solution
Step-by-step explanation:
x = 2 + x - 2
x - x = 2 - 2
0 = 0
=》x has no solution.
________
Hope it helps ⚜
Lisa owes $500 for a car payment. She's a bit short on cash this month, so she asks her mother and sister if they would be willing split the car payment evenly and pay it for her. In the discussion box, answer these questions: How much money will Lisa's mother and sister each pay towards the car payment? What key word/phrase helped you solve this problem?
Answer:
Lisa's mother and sister each pay towards car payment is $250 each.
The key used is "Evenly"
Step-by-step explanation:
Lisa owes $500 for a car payment.
Her mother and sister would be willing to split the car payment Evenly and pay it for her.
So, they each pay towards the payment = [tex]\frac{500}{2}[/tex] =250
So, each pay $250.
Here the key helped is "Evenly" to solve this problem. Evenly means they split the amount equally.
A business breaks even when the production costs are equal to the revenue. The expression 120 + 4x represents the cost of producing z items. The selling price is $5 for each item. Write an expression for the revenue generated by selling x items. How many items would you need to sell to break even? Write an equation and solve it. Enter the coIrect answers in the boxes. Hint Expression for revenue: Equation: Items needed to sell to break
Step-by-step explanation:
We know that revenue= production=break even point
given that the expression for cost of production is
z=120+4x---------------1 cost of production
where x is the number of items produced
also the selling price per item is $5
The revenue generated from the production of x items is(let the revenue be y)
y=5x------------2 revenue equation
break-even is when y=z
120+4x=5x
solving for x we have
120=5x-4x
120=x
x=120items