If three angles of a triangle are "(3x - 2) degrees, (8x - 5) degrees, and (7x+7) degrees", then what does "x" equal?

Using the hypergeometric distribution, it is found that the probabilities are given as follows:

a) 0.2059 = 20.59%.

b) 0.5294 = 52.94%.

c) 0.2647 = 26.47%.

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, the parameters are as follows: N = 17, k = 8, n = 2.

Item a:

This probbility is P(X = 2), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,17,2,2) = \frac{C_{8,2}C_{9,0}}{C_{17,2}} = 0.2059[/tex]

Item b:

This probbility is P(X = 1), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 1) = h(1,17,2,2) = \frac{C_{8,1}C_{9,1}}{C_{17,2}} = 0.5294[/tex]

Item c:

This probbility is P(X = 0), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,17,2,2) = \frac{C_{8,0}C_{9,2}}{C_{17,2}} = 0.2647[/tex]

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I like marshmallows and weird fives eat food

Step-by-step explanation:

here

radius of circle(h,k)=(-7,11)

so ,h=-7

and k=11

r=8

we know that,

(x-h)^2+(y-k)^2=r^2

(X+7)^2 + (y-11)^2= 8^2

X^2+14x+49 +y^2-22y+121= 64

x^2+y^2+14x-22y+106=o is the equation of circle .

Answer:

he bouyancy Force of the hippo using the bouyancy force relation is 24107.1 N.

Given the Parameters :

Density of water = 1 kg/m³

Mass of hippo = 2500 kg

Volume = 2.46 m³

The bouyancy Force is defined as,  :

Density of hippo =

Substituting values into the relation :

Therefore, the bouyancy Force is 24107.1 N

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Step-by-step explanation:

Answer:

anything before -1 is lower than -1.  -1 = -1

Step-by-step explanation:

-10, -9, -8, -7, -6, -5, -4, -3, -2 etc. are in a sense before -1 on a time line and they are all less than -1

Set B represents the set of all the natural numbers less than or equal to -1

[tex]\rm B=\{-\infty ...........-4,-3,-2,-1\}[/tex]

if we include all the numbers the range of set includes every number from

[tex]\rm -\infty \; to -1[/tex] so the set is represented by K

[tex]\rm K = \{ -\infty ,.....-1\}[/tex]

In Mathematics a set is  a collection of objects/elements that are constrained by some particular condition.

Let us consider a situation where "S" is the set and the elements are represented by "x"

A set is always denoted in curly braces. Expression (1) represents the set

[tex]\rm S =[/tex] { [tex]\rm x_1.x_2,x_3, x_4,x_5........x_n[/tex]}...........(1)

Set S  has elements that are represented as [tex]\rm x_1[/tex][tex]\rm\\where \; i \; represents\; the\; index\; of \; the \; element\\n = number\; of \; elements \; in \; the \; set \; x[/tex]

The set of all the natural numbers less than or equal to -1 is the set of all the negative integers including  -1.

So let us say B represents the set of all the natural numbers less than or equal to -1 . Then we can write it as follows

[tex]\rm B=\{-\infty ...........-4,-3,-2,-1\}[/tex]

Set B represents the set of all the natural numbers less than or equal to -1

if we include all the numbers the range of set includes every number from

[tex]\rm -\infty \; to -1[/tex] so the set becomes  

[tex]\rm K = \{ -\infty ,.....-1\}[/tex]

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Answer:

17=n<

Step-by-step explanation:

17

Answer:

Step-by-step explanation:

17+ n/5=33

17+33-n/5

N= 50..

50/5

Explanation:

Basically a line goes on forever in both directions. A ray only goes off forever in one direction. If we glue together two rays that point in complete opposite directions (eg 1 points north, the other points south) then we form a line.

A line segment is a piece of a line. It doesn't go on forever in either direction. It has 2 endpoints and has a set fixed length. If you know the coordinates of each endpoint, you can use the distance formula to find that length.

Answer:

C) 196 cu. units

Step-by-step explanation:

Volume = lwh/3

             = 7 x 7 x 12 / 3

              =  588/3

              = 196

The volume of a square pyramid is 196 cubic units.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

From the given figure, side of square base is 7 units and height is 12 units.

We know that, the volume of square based pyramid =a²h/3.

Now, volume of a pyramid = 1/3 ×7²×12

= 49×4

= 196 cubic units

Therefore, the volume of a square pyramid is 196 cubic units.

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Answer:

sin(kx) has period 2π/k so, you want 2 + 5sin(16π/7 x)

Step-by-step explanation:

Answer:

(a-10)^2 = 10^2

Step-by-step explanation:

a^2-20a=0

a^2-20a+100=100

(a-10)^2=100

12 tickets --

120/10= 12

Answer:

$12

Step-by-step explanation:

well 12 * 10 = 120 so 12 is 1 ticket

Answer:

15 hours

Step-by-step explanation:

Step 1. $250-$100=$150

Step 2. $150÷$10=15 hours

To check answer:

$10x15(hours)=$150

$150+$100=$250

Answer:

15 hours

Explanation:

So start by taking 100 away from 250, to get 150. now divide 150 by 10. 15

Answer:

300 dollars

Step-by-step explanation:

$1.8=£1/x dollars=£200

cross multiplying

x=200×1.8

x=$360

Answer:

218.26

Step-by-step explanation:

1 [tex]\frac{913}{10000}[/tex]  USD = 1 EURO.

I calculated it on E to USD calculator.

Answer:

✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️

Answer:

C

Step-by-step explanation:

The square root should be about half of that number so half of 7 is 3.5.

Answer: 2/9, 11/18, 2/3, 5/6

Step-by-step explanation:

2/3 = 0.6666...

2/9 = 0.2222...

5/6 = 0.8333...

11/18 = 0.61111...

Answer:

1.  y=-3x+7

2.  y=3/4x+10

3. y=-5x-2

4. y=12x-6

5. y=1/2x+9

Step-by-step explanation:

for numbers 2, 4, 3, and 5 all you have to do is look at the slope they give you. in a linear equation (y=mx+b) the m is the slope. because there is only one equation with the slope they give you, that is the corresponding answer. but for 1, its a bit more complicated. because they give you a point you have to plug the x value into your equation. for exaple for 1. they give you 0 as the x value so you plug it into one of the equations. and if that equation gives you 7 as the y, then you have your answer.

Answer:

3 cis(43)

Step-by-step explanation:

When we divide number in polar form, we divide the modulus, and subtract the degrees.

36/12=3

45-2=43

3 cis(43)

Answer:

100.5309649cm

Step-by-step explanation:

The formula for the circumference of a circle is:

2πr

if the radius is 16cm, we just need to substitute 16 for r:

2π(16)

= 32π

= 100.5309649cm

You can round this however you like, however I would recommend doing either 3 significant figures either 2 or 3 decimals places :)

Answer:

B

Step-by-step explanation:

solve for W

subtract 8/5 from both sides

then multiply by 5

hope this was helpful

Answer:

1/4*2/5=(1*2)/(4*5)

= 2/ 20

= 1/10

So 1/4* 2/5=1/10

Answer:

1/10

Step-by-step explanation:

1)Draw the fractions.

2) Since you are basically dividing, divide 2

into 4 and your answer should be 2, cross

out 2 and put I because 2 into 2 goes one time,

and cross out 4 and put 2 because 2 into 4 goes 2 times

3) Multiply from across and you will get your answer

Answer:

1. Rate needed 9/6; Unit rate is 1.5/1; 1.5 cans of white paint are needed for each can of blue.

2. rate needed = 12/6; unit rate = 2/1;  Need 2 cups of water for every scoop of fruit mix.

3. 70 minutes

Step-by-step explanation:

1.  Set up a ratio

3white/2blue = xwhite/6blue

3/2 = x/6

cross multiply 2x = 18; x = 9

rate needed = 9/6

Unit rate is 1.5/1 (divide 3 by 2 or 9 by 6 to get unit rate_

2. 3/1.5 = x/6

1.5x = 18; x = 12

rate needed = 12/6

unit rate = 2/1

3. Set up a ratio.

3.5/.25 ( 1/4=.25)

3.5/.25 = x/5

.25x = 3.5(5)

.25x = 17.5

x = 70 minutes

Answer:

1) Rate: 3/2

  Unit Rate: 1.5/1

  Interpretation: Every 1 can of blue paint used requires 1.5 cans of white    

                           paint

 Solution: 9

Answer:

the dimensions are for in plus two in is equal to 6n

Hey there!

--› Initial deposit: 1600

--› rate = 3.75%

a) First, convert R as a percent to r as a decimal

r = R/100

r = 3.75/100

r = 0.0375 rate per year,

Substitute into formula

= A = P(1 + r/n)nt

A = P(1 + 0.0375/4)^4t

A = 1,600.00(1 + 0.009375)^4t

b)

A = 1,600.00(1 + 0.009375)^4t

A = 1,600.00(1 + 0.009375)^4(5)

A = 1,600.00(1 + 0.009375)^(20)

A = $1,928.28

The amount of money that will be present in the account in 5 years is P(5) = $1923.36

The standard exponential equations is expressed as:

p(t) = p0(1+r)^t

where:

Substitute

P(t) =1600(1+ 0.0375)^t
P(t) = 1600 (1.0375)^t

Hence the equation to represent the aount of money in the account as a function of time in years is P(t) = 1600 (1.0375)^t

If t =5 years

P(t) = 1600 (1.0375)^t

P(t) = 1600 (1.0375)^5
P(5) = $1923.36

Hence the amount of money that will be present in the account in 5 years is P(5) = $1923.36

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answer:

B and C are correct.

explanation:

[tex]\hookrightarrow \sf x^2-5x+5[/tex]  where ax² + bx + c

\\ Thus we can determine a = 1, b = -5, c = 5 \\

using quadratic equation:

[tex]\rightarrow \sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0[/tex]

[tex]\hookrightarrow \sf x_{1,\:2}=\dfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\cdot \:5}}{2\cdot \:1}[/tex]

[tex]\hookrightarrow \sf x=\dfrac{5+\sqrt{5}}{2},\:x=\dfrac{5-\sqrt{5}}{2}[/tex]

Answer:

B and C

Step-by-step explanation:

[tex]x^2-5x+5=0[/tex]

⇒ a = 1, b = -5, c = 5

Using quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\implies x=\dfrac{5\pm\sqrt{(-5)^2-4\cdot 1 \cdot 5} }{2\cdot 1}[/tex]

[tex]\implies x=\dfrac{5\pm\sqrt{5}}{2}[/tex]

Answer:

12.56

Step-by-step explanation:

2x2=4

4×3.14=12.56

area = 12.56

Answer:

Y=mx+b Is a linear equasion because if you plot the x and y on a graph it always shows a straight line.

Step-by-step explanation:

For example, y=7x+9,

When x is 1 y is 16, and

when x is 2 y is 23.

When you put those two points on a graph and connect the dots with a ruler, you get a straight line, and you will automatically find that when x is 3 y is 30.

Step-by-step explanation:

Hey there!

Reason:

You can simply define linear equation as the equation which has two variables with 1 exponent.

So, you can graph out that why it is called linear equation. It have two variables with 1 exponent.

Hope it helps..

Divide rulers by rooms:

672/21 = 32

Each room gets 32 rulers

Answer:

32 rulers per classroom

Step-by-step explanation:

672rulers ÷ 21 classroom

=32 rulers per classroom

Answer:

9

Step-by-step explanation:

The correct answer would be 9