Answer:
1. 792 2. 20. 3. 126. 4.1995840
Step-by-step explanation:
Use the formula C(n,r)= n!/ r/ (n-r)! where n is total quantity of varieties and r is the quantity uou should choose.
1) n=12 (total quantity); r= 7
C(12,7)= 12!/(7! *(12-7)!)= 8*9*10*11*12/ (5*4*3*2)= 8*9*11= 72*11= 792
2) n=6 r=3
C(6,3)= 6!/ (3! * (6-3)!)= 6!/ (3!)^2= 4*5*6/ 3*2= 20.
3) C(9,5)= 9!/ (5!*4!)= 6*7*8*9/ (4*3*2*1)= 2*63= 126
4) You need to choose the whole set which consists of three components that has been defined. Multiply previous results
792*20*126= 1995840.
Any help is appreciated (:
Answer: True
Step-by-step explanation:
The number is going down in a way that cannot be written as a straight line so it is a nonlinear.
Find the volume of this cone.
Use 3 for T.
3ft
17 ft.
V = Tr2h
3
V
V ~ [?]ft?
Enter
your answer in decimal form.
Answer:
15.75 ft^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h where r is the radius and h is the height
We know the diameter is 3 so the radius is 1/2 the diameter or 3/2
The height is 7 and we will use 3 for pi
V = 1/3 (3) (3/2)^2 *7
V = 15.75 ft^3
which one of the following has a terminating decimal expansion?
a.5/64
b.8/9
c.14/15
d.1/12
Answer:
b. 8/9
Step-by-step explanation:
step by step explanation
Answer:
A
Step-by-step explanation:
Because if you were to out each fraction into a calculator you see that b,c, and d have a never ending decimal. The only fraction that does end in option A, therefore ur answer is option a
A prepaid phone card has a balance of $22.40 remaining. If calls are $0.035 per minute, which equation represents the number of minutes, m, you may talk using the card?
m/.035 = 22.40
22.40m = 0.035
m/22.40 = 0.035
0.035m = 22.40
Answer:
0.035m = 22.40
HCF of algebraic expression x square minus y square and x y minus y square.
Answer:
(x-y+z)(x-y-z)
Given (x²-2xy+y²) - z²
= (x-y)² - z²
/* By algebraic identity
a²-2ab+b² = (a-b)² */
=[(x-y)+z][(x-y)-z]
/* a²-b² = (a+b)(a-b) */
= (x-y+z)(x-y-z)
Therefore,
(x²-2xy+y²)-z² =(x-y+z)(x-y-z)
Step-by-step explanation:
x
2
y
2
=x×x×y×y
xy
2
=x×y×y
h.c.f=xy
2
1. What is the basic economic problem that societies must solve?
A Who will consume the goods and services?
B How will the goods and services be produced?
C What goods and services should be produced?
D How to allocate resources in order to best satisfy the needs and wants of people.
2.
In which economic system are price signals, resulting from supply and demand forces, the only determining factor for the goods and services that the economy produces?
A a market economy
B a traditional economy
C a mixed economy
D a command economy
3.
How do property rights influence the exchange of goods and services in the market?
A Property rights determine ownership of resources among businesses, individuals, and governments.
B Property rights prevent market failures from arising in an economy.
C Property rights allow consumers' wants and needs to control the output of producers.
D Property rights prevent producers from exhibiting profit-seeking behavior.
4.A traditional economy is an economy where ____________
A economic decisions are based on price signals from supply and demand forces.
B economic decisions are based on traditions, culture, and beliefs.
C economic decisions are made by the government.
D economic decisions are made by the government for some resources and are based on supply and demand forces for others.
5. Which economy has the highest level of consumer sovereignty?
A command economy
B market economy
C mixed economy
D traditional economy
Answers
Step-by-step explanation:
1.D
2.A
3. A
4. B
5. B
Answers!
- What is the basic economic problem that societies must solve?
- How to allocate resources in order to best satisfy the needs and wants of people.
- In which economic system are price signals, resulting from supply and demand forces, the only determining factor for the goods and services that the economy produces?
- a market economy
- How do property rights influence the exchange of goods and services in the market?
- Property rights determine ownership of resources among businesses, individuals, and governments.
- A traditional economy is an economy where ____________
- economic decisions are based on traditions, culture, and beliefs.
- Which economy has the highest level of consumer sovereignty?
- market economy
Hope this helps! :)
When x + y = 30 and x < 13, which of the following must be true?
y = 30
y > 17
y = 17
y < 17
y > 30
Answer:
y>17
Step-by-step explanation:
[tex]x + y = 30 \\ 13 + y = 30 \\ y = 17 \\ for \: x < 13 \\ y > 17[/tex]
Answer:
y>17
Step-by-step explanation:
x+y=30
x<13
What + 13 is 30?
17. So if x+y=30. Because x will be less than 13, y must make up the differnce by being greater than 17.
Ex: x=12
y+12=30
y=18
18 is greater than 17.
This is a great way to check because if your not sure, it elimates the other options!
Hope this helps!
prove that the line x-y=0 bisect the line segment joining the point (1,6) and (4, -1)
Step-by-step explanation:
x-y=0(l.6)-(4.-1)(6-4)-(1--1)2--2=0The quotient of 3 and a number x
Answer:
3/x
Step-by-step explanation:
Quotient is a division.
3/x
How many solutions does the system have?
⎪
⎪
⎨
⎪
⎪
⎧
x+y=3
5x+5y=15
Circle the correct term to complete the sentence: When you dilute a solution, the resulting solution has a concentration that is (increased/decreased) and the volume is (increased/decreased).
Answer:
1st option is decreased 2nd is increased
Step-by-step explanation:
Because you add a liquid to dilute a solution, it makes the solution weaker (less concentrated) you also added more liquid which would increase the volume
Answer:
decreased; increased
Step-by-step explanation:
when you dilute something you make it less concentrated by adding something else (usually water i think). so the concentration decreases while the volume increases
The closed form sum of
$$12 \left[ 1^2 \cdot 2 + 2^2 \cdot 3 + \ldots + n^2 (n+1) \right]$$
for $n \geq 1$ is $n(n+1)(n+2)(an+b).$ Find $an + b.$
Perhaps you know that
[tex]S_2 = \displaystyle\sum_{k=1}^n k^2 = \frac{n(n+1)(2n+1)}6[/tex]
and
[tex]S_3 = \displaystyle\sum_{k=1}^n k^3 = \frac{n^2(n+1)^2}4[/tex]
Then the problem is trivial, since
[tex]\displaystyle\sum_{k=1}^n k^2(k+1) = S_2 + S_3 \\\\ = \frac{2n(n+1)(2n+1)+3n^2(n+1)^2}{12} \\\\ = \frac{n(n+1)\big((2(2n+1)+3n(n+1)\big)}{12} \\\\ = \frac{n(n+1)\big(4n+2+3n^2+3n\big)}{12} \\\\ = \frac{n(n+1)(3n^2+7n+2)}{12} \\\\ = \frac{n(n+1)(3n+1)(n+2)}{12}[/tex]
Then
[tex]12\bigg(1^2\cdot2+2^2\cdot3+3^2\cdot4+\cdots+n^2(n+1)\bigg) = n(n+1)(n+2)(3n+1)[/tex]
so that a = 3 and b = 1.
142°
3xº + 22°
X=
degrees.
Answer:
x = 40°
Step-by-step explanation:
The 2 angles are vertical angles and are congruent , then
3x + 22 = 142 ( subtract 22 from both sides )
3x = 120 ( divide both sides by 3 )
x = 40°
Answer:
10000+1241222+24122+907979+153647612232
1
PLEASE HELP ASAP THANK YOU!!! LOVE U
The fish population is decreasing at a rate of 3% per year. In 2002 there were about 1200 fish. Find the fish population in 2010. Round to the nearest whole number.
Answer:
912 lil fishies
Step-by-step explanation:
since its 3% per year, and 8 years, that's 24%. 1200 x 24% is 288, and 1200-288 is 912 lil fishies :)
hope this helps!!
brainliest is very appreciated!
Classify the polynomial 5x3 + 4x - 2 by degree.
Answer:
3
Step-by-step explanation:
3 would be the degree of the polynomial since it has the highest degree.
Which of the following statements best describes the relationship between
any point on an ellipse and each of its two foci?
A. The quotient of the distances to each focus equals a certain
constant.
B. The difference of the distances to each focus equals a certain
constant.
C. The sum of the distances to each focus equals a certain constant.
D. The product of the distances to each focus equals a certain
constant.
Answer:
C
Step-by-step explanation:
The sum of distances from any point on the ellipse to each foci equals a certain amount, no matter what point on the ellipse it starts from. The foci are on the major radius of the ellipse (the longer length of horizontal/vertical). The foci are of equal distance from the center, with one on each side.
If you wanted to find where the foci are using the major and minor radius, we can find that, representing the distance between the center and any foci as g,
g² = major radius² - minor radius². Then, the distance between the center and the foci is equal to g
Which is more likely when tossing two dice: a sum of 3 or a sum of 5?
Answer:
In my opinion, I think a sum of 5.
Step-by-step explanation:
Since you are tossing two dice, you will likely get a higher value than 3.
How many ways can a 3 come up ?
1 - 2
2 - 1
How many ways can a 5 come up ?
1 - 4
2 - 3
3 - 2
4 - 1
There are four ways to roll a 5, but only two ways to roll a 3.
So a sum of 5 is more likely.
3x°
30°
x =
degrees dhdjdjdjdjfj
Answer:
x=10
Step-by-step explanation:
since the angles seem similar they're most likely to be the same but since its 3x and you have to find the value of x then we will do 3 x ?=30, which is 10. if you want to check there is one way, since the angle on a straight line is 180 you can do 180 - 30 =150 which will be the unknown value next to the given angle. Since the unknown angle is on the line with the 150 degree angle we can do 180 - 50 to get the unknown angle (3x) which is 30. So in conclusion x will be 10
Answer: x = 10
Step-by-step explanation:
The angles are voa which means vertically opposite angles which means they are conguerent and also equal
ATQ
⇒3x = 30
⇒x = 30/3
⇒x = 10
Therefore x = 10 degrees
please click thanks and mark brainliest if you like :)
Estimate 2371 x1.84 divide 36.92
Answer:
Step-by-step explanation:
2371 x1.84 = 4362
4362 ÷ 36.92 = 118
the answer would be 118.1646804 but since the lowest sig fig in the question is 3 (1.84), we would have to round the answer to 3 SIG figs.
Final answer: 118
BRAINLIST!! 20 POINTS! PLEASE HELP ILL FAIL IF I DONT PASS THIS TEST!!!
What type of counting problem is this?
How many different sums of money exist if we can choose 4 coins from any number of pennies, nickels, dimes, and quarters?
Combination without repetition
Permutation with repetition
Combination with repetition
Permutation without repetition
Answer:
the third one: Combination with repetition
Step-by-step explanation:
it says there are any number of pennies, nickels, dimes, and quarters, so there is repetition. the order doesn't matter because it asks for the different sums, so it's a combination with repetition
"How many different sums of money exist if we can choose 4 coins from any number of pennies, nickels, dimes, and quarters?" is a Combination with repetition problem.
What is combination with repetition?A combination with repetition involves a multiset. A multiset allows elements to be repeated unlike an ordinary set.
Number of ways to select r things from n possibilities: C (n + r − 1, r)
Since he can choose any coin any number of time, repetition is there. Also, order in which coins are chosen is not important, thus it is a combination.
Therefore, the third option is correct. This is a combination with repetition problem.
Learn more about combination with repetition here
https://brainly.com/question/20401258
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help pls How do you write 0.0000000080 in scientific notation? x 10
Answer:
0.000000008 written as scientific notation is 8 × 10-9.
Answer:
8x10^-9
0.0000000080 is -9 integers from 0
(2 + 6i)(8 – 9i)
Divide and simp
Answer:
70+30i
Step-by-step explanation:
What percent of 17 is 85?
I'm not sure if 85 is a whole number or a percentage...
Answer: 85 is 500% of 17
Step-by-step explanation:
The question means what percent is 85 of 17
= 85/17×100
= 8500/17
= 500%
please click thanks and mark brainliest if you like :)
Which property does the following statement illustrate? (a+b)c = (b+a)c
A: associative
B: Commutative
C: Identity
D: None
simplify the following
Answer:
1) 11[tex]\sqrt{3}[/tex]
2) 2[tex]\sqrt{2}[/tex]
3) [tex]20\sqrt{3} + 15\sqrt{2}[/tex]
4) [tex]53 + 12\sqrt{10}[/tex]
5) -2
6) [tex]7\sqrt{2} - 5\sqrt{3}[/tex]
Step-by-step explanation:
1) 2[tex]\sqrt{12}[/tex] + 3[tex]\sqrt{48}[/tex] - [tex]\sqrt{75}[/tex]
=(2 × 2[tex]\sqrt{3}[/tex] )+ (3 × 4[tex]\sqrt{3}[/tex]) - 5[tex]\sqrt{3}[/tex]
= 4[tex]\sqrt{3}[/tex] + 12[tex]\sqrt{3}[/tex] - 5[tex]\sqrt{3}[/tex]
= 11[tex]\sqrt{3}[/tex]
2) 4[tex]\sqrt{8}[/tex] -2[tex]\sqrt{98}[/tex] + [tex]\sqrt{128}[/tex]
= (4 × 2[tex]\sqrt{2}[/tex]) - (2 × 7[tex]\sqrt{2}[/tex]) + 8[tex]\sqrt{2}[/tex]
= 8[tex]\sqrt{2}[/tex] - 14[tex]\sqrt{2}[/tex] +8[tex]\sqrt{2}[/tex]
= 2[tex]\sqrt{2}[/tex]
3) 5[tex]\sqrt{12\\}[/tex] - 3[tex]\sqrt{18} + 4 \sqrt{72} +2\sqrt{75}[/tex]
= 5× [tex]2\sqrt{3}[/tex] - 3×[tex]3\sqrt{2}[/tex] + 4×[tex]6\sqrt{2}[/tex] + 2×[tex]5\sqrt{3}[/tex]
= [tex]10\sqrt{3} - 9\sqrt{2} +24\sqrt{2} +10\sqrt{3}[/tex]
= [tex]20\sqrt{3} + 15\sqrt{2}[/tex]
4) [tex](2\sqrt{2} + 3\sqrt{5} )^{2}[/tex]
= [tex]8 + 12\sqrt{10} + 45[/tex]
= [tex]53 + 12\sqrt{10}[/tex]
5) [tex](1+\sqrt{3} ) (1-\sqrt{3} )[/tex]
= [tex]1 - 3[/tex]
= -2
6) [tex](2\sqrt{6} -1) (\sqrt{3} -\sqrt{2} )[/tex]
= [tex]2\sqrt{18}-2\sqrt{12} -\sqrt{3} +\sqrt{2}[/tex]
= 2×[tex]3\sqrt{2}[/tex] - 2×[tex]2\sqrt{3}[/tex] - [tex]\sqrt{3} + \sqrt{2}[/tex]
= [tex]6\sqrt{2} - 4\sqrt{3} -\sqrt{3} +\sqrt{2}[/tex]
= [tex]7\sqrt{2} - 5\sqrt{3}[/tex]
Hope the working out is clear and will help you. :)
Step-by-step explanation:
please I solved the question in the diagram above
Find the value of b.
Answer:
B
Step-by-step explanation:
The secant- tangent angle b is half the difference of the measures of the intercepted arcs , then
b = [tex]\frac{1}{2}[/tex] ( 180 - 35) = [tex]\frac{1}{2}[/tex] × 145° = 72.5° → B
please help with problem !!!
Answer:
Step-by-step explanation:
y = 2x^2 - 12x +19 Put brackets around the 1st 2 terms. Take 2
y = 2(x^2 - 6x ) + 19 Take 1/2 of the 6 square it and add inside the brackets
y = 2(x^2 - 6 + (6/2)^2) +19 Subtract 2 *9 from the 19. Express 1st 3 terms as ( )^2
y = 2(x- 3)^2 + 19 - 18
y = 2(x - 3)^2 + 1
Answers
y intercept when x = 0 is y = 19
axis of symmetry x = 3
vertex: (3,1)
Graph
graph: red
axis of symmetry: blue
y intercept, vertex: green
looking for the equation, slope, and y-intercept of: (1,-3) and (0,-1)
Answer:
Equation: y = -2x - 1
Slope: -2
Y intercept: -1
Step-by-step explanation:
First, find the slope using rise over run, (y2 - y1) / (x2 - x1):
(y2 - y1) / (x2 - x1)
(-1 + 3) / (0 - 1)
2 / -1
= -2
So, the slope is -2. Plug this and a point into slope intercept form, y = mx + b, and solve for b:
y = mx + b
-1 = -2(0) + b
-1 = 0 + b
-1 = b
So, the y intercept is -1. Create the equation by plugging in the slope and b into y = mx + b:
y = mx + b
y = -2x - 1
The equation of the line is y = -2x - 1.
Answer: y=-2x-1. Slope is -2 and y int. is -1.
Step-by-step explanation:
First, you need to find the slope by using the slope formula y2-y1/x2-x1. Plug in the x and y coordinates, which simplifies as -1-(-3)/0-1, and furthermore to 2/-1, or -2. The y intercept can be found by the second point, (0,-1). Therefore, the y int. is -1.
the ratio of boys and girls in a 4:3.If there are 20 boys, find the number of girls.
Answer:
There are 15 girls.
Step-by-step explanation:
The ratio is 4:3, meaning there are 7 parts.
4 parts= 20 (Boys)
This means 1 part is 20 divided by 4.
1 part= 5
3 parts= Amount of girls.
3 x 5 = 15.
There are 15 girls.
Answer:
15
Step-by-step explanation:
Add:
boys : girls
4 : 3 = 7
20: ? = ?
Divide:
20 / 4 = 5
5 × 3 = 15
20: 15
So, there are 15 girls.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Data should be analyzed using each of the following except:
A. measures of central tendency
B. shape
C. population size
D. spread
