Determine the required value of the missing probability to make the distribution a discrete probability distribution
P(4)=____
X P(x)
3 0.25
4 ?
5 0.39
6 0.15

There is a formula for the total interior angles of a polygon:

180(sides−2)=total interior angles

One of the angles is 100 and all the others are 110.

We can rewrite the equation.

Assume there is x number of sides.

There are x−1 number of angles, 110 degrees

180(x−2)=100+110(x−1)

180x−360=100+110x−110

70x−360=100−110

70x−360=−10

70x=3507x=35

x=5

There are 5 sides to the polygon.

We can check our answer:

180(sides−2)=total interior angles

Therefore it is true:

The polygon has 5 sides

I HOPE IT HELPS

HAVE A GREAT DAY

#Liliflim

Step-by-step explanation:

y=sin ^-1(9/14) =44,27 degree

X= by pythegoras) =14 square - 9 square

= root 115

Answer:

The player made one two-point shot and 13 free throws.

Step-by-step explanation:

We can write a system of equations to model the situation.

Let t represent the number of two-point shots and let f represent the number of free throws made.

Since she scored a total of 14 times, the sum of two-pointers and free throws must equal 14. Hence:

[tex]t+f=14[/tex]

And since she scored a total of 15 points and each two-pointers is worth two points and every free throw is worth one:

[tex]2t+f=15[/tex]

Solve the system. We can use elimination. From the first equation, multiply both sides by negative one:

[tex]-t-f=-14[/tex]

We can add this to the second equation:

[tex](2t+f)+(-t-f)=(15)+(-14)[/tex]

Simplify:

[tex]t=1[/tex]

So, the player made only one two-point shot.

Using the first equation again, substitute one for t and solve for f:

[tex](1)+f=14\Rightarrow f=13[/tex]

Therefore, the player made one two-point shot and 13 free throws.

Answer:

Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables are studied under the supposition or demand that they depend, by some law or rule, on the values of other variables.

Step-by-step explanation:

Answer:

1  2/3 ( d is the answer)

Step-by-step explanation:

See image below:) I know it says 5/3 but where it says alternative form it says 1  2/3

Answer:

im not sure about this one but my answer is 0.025.

Step-by-step explanation:

if there is a 1 out of 8 chance of getting a free burger,  convert that into 1/8. divide that by 5 and you get 0.025.

Answer: 2 1/4

Step-by-step explanation:

answer: each slide would be one sixth of the entire area; the entire area is (pi)(72).  

Do not use pi = 22/7 because that's untrue. It's approximately 3.1416; round off later!

hope this helps

Answer:

one solution I think is the answer

Answer and Step-by-step explanation:

First, multiply the parentheses, then add everything together.

-- (5x + 24)(9x +  12)

-- 45[tex]x^2\\[/tex] + 60x + 216x + 288 (Simplify)

-- 45[tex]x^2\\[/tex] + 276x + 288

--- (3x + 9)(8x + 6)

--- 24[tex]x^2\\[/tex] + 18x + 72x + 54 (Simplify)

--- 24[tex]x^2\\[/tex] + 90x + 54

---- (2x + 7)(24[tex]x^2\\[/tex] + 90x + 54)

---- 48[tex]x^{3}[/tex] + 180[tex]x^2\\[/tex] + 108x + 168[tex]x^2\\[/tex] + 630x + 378 (Simplify)

---- 48[tex]x^{3}[/tex] + 348[tex]x^2\\[/tex] + 738x + 378

----- 45[tex]x^2\\[/tex] + 276x + 288 + 48[tex]x^{3}[/tex] + 348[tex]x^2\\[/tex] + 738x + 378

----- 48[tex]x^{3}[/tex] + 393[tex]x^2\\[/tex] + 1014x + 666

48[tex]x^{3}[/tex] + 393[tex]x^2\\[/tex] + 1014x + 666 is the final answer.

#teamtrees #PAW (Plant And Water)

Answer:

[tex] \rm \displaystyle {48x}^{3} + 393 {x}^{2} +1014x + 660[/tex]

Step-by-step explanation:

we would like to simplify the following:

[tex] \rm \displaystyle (5x + 24)(9x + 12) + (3x + 9)(8x + 6)(2x + 7)[/tex]

there're two parts the multiplication the whole part to solve the multiplication part we can consider FOIL and for the whole, PEMDAS which can be represented as

[tex] \rm\displaystyle \rm \displaystyle \underbrace{\underbrace{(5x + 24)(9x + 12) } _{ \text{FOIL - 1}}+ \underbrace{ (3x + 9)(8x + 6)(2x + 7)} _{ \text{FOIL - 2}}} _{ \text{PEMDAS}}[/tex]

let's figure out FOIL-1 part

By FOIL we obtain:

[tex] \displaystyle {45x}^{2} + 60x + 216x + 288[/tex]

simplify addition:

[tex] \displaystyle {45x}^{2} + 276x+ 288[/tex]

let's figure out FOIL-2:

By FOIL and PEMDAS we acquire:

[tex] \rm \displaystyle {48x}^{3 } + {348x}^{2} + 738x + 378[/tex]

finally the whole part

[tex] \rm \displaystyle {45x}^{2} + 60x + 216x + 288+ {48x}^{3 } + {348x}^{2} + 738x + 378[/tex]

combine like terms:

[tex] \rm \displaystyle {48x}^{3} + 393 {x}^{2} +1014x + 660[/tex]

and we are done!

Answer:

Volume = 111.33 in.³

Step-by-step explanation:

The volume of the shape = volume of the rectangular prism part + volume of the triangular prism part

✔️volume of the rectangular prism part:

V = L*W*H

Where,

L = 5.1 in.

W = 3.4 in.

H = 5.9 in.

V = 5.1*3.4*5.9

V = 102.306 in.³

✔️volume of the triangular prism part:

V = ½*b*h*l

b = 6 - 5.1 = 0.9 in.

h = 5.9 in.

l = 3.4 in.

V = ½*0.9*5.9*3.4

V = 9.027 in.³

✅Volume of the shape = 102.306 + 9.027

= 111.333 in.³

≈ 111.33 in.³ (approximated to 2 decimal places)

Answer:

B

Step-by-step explanation:

To find the area of a parallelogram you do A=(b)(h) so 20x8=160. It's 160ft^2 because area is measured in square units.

Answer:

Step-by-step explanation: It could be 8,7, or 2. Because these are all positive

:)

Answer:

36

Step-by-step explanation:

Answer:

the first one goes by 4n-1

the Second sequence goes by 3n + 13

Step-by-step explanation:

using the formula an=a1+d(n-1)

The total combinations are found by multiplying each option by each other.

2 spreads x 3 meats x 4 breads = 24 different combinations.

Answer : 24

Answer:

C.

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] is between 0 and 1

Only 1 point is between 0 and 1

C.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

You know that f(0) = 2^0 = 1, so g(0) = -11 has been shifted down 12 units from f(x). A shift of half as much will be a shift down 6 units from f(x), or up 6 units from g(x).

In the attached, we have named the new function h(x). It is equivalent to g(x)+6. That is, you can add 6 to each of the g(x) table values to get the corresponding values for h(x).

Answer:

r=1/2πhA

Step-by-step explanation:

..................

Therefore, the formula of [tex]r[/tex] is [tex]2A(\pi h)^{-1}[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]A=\frac{1}{2}\pi rh[/tex]

So,

[tex]A=\frac{1}{2}\pi rh\\\\r=2A(\frac{1}{\pi h})\\\\r=2A(\pi h)^{-1}[/tex]

Hence, the formula of [tex]r[/tex] is [tex]2A(\pi h)^{-1}[/tex].

To know more about the equation

https://brainly.com/question/12788590

#SPJ2

Answer:

The total area is 300 ft^2

Step-by-step explanation:

First find  the area of the rectangle

A = l*w = 24*10 = 240

Then find the area of the triangle on the top

A = 1/2 bh

The base is 24 and the height is 15-10 = 5

A = 1/2 (24)*5 = 60

Add them together

240+60 = 300

The total area is 300 ft^2

Answer:

Total area of figure is 300 ft ²

Step-by-step explanation:

Finding the area of rectangle

We know that

Where,

Substitute the values into the formula

Area = 10 ft × 24 ft

multiply ✖ , we get

Area of rectangle = 240 ft ²

Similarly, Finding the area of triangle

We know

Where,

Substitute the values

Area of triangle = 1 /2 × 24 ft × 5 ft

multiply

Area of triangle = 1/2 × 120 ft ².

divide , we get

Area of triangle = 60 ft ².

And Finally, Finding the total area

Total area of figure = Area of rectangle + Area of triangle

Total Area = 240 ft ² + 60 ft ²

➛ Total area of figure = 300 ft ²

Answer:

-28 1/3

Step-by-step explanation:

-8 1/3= -25/3

3 2/5= 17/5

-25/3*17/5= -28 1/3

Answer:

R = (3P-30)/8

Step-by-step explanation:

subtract 30 from each side to get:

P-30 = [tex]\frac{8}{3}[/tex]R

multiply each side by [tex]\frac{3}{8}[/tex] to get:

[tex]\frac{3}{8}[/tex] · P - 30 = R

R = (3P-30)/8

Answer:

i think it is 46

Step-by-step explanation:

Answer:

2.9lbs

Step-by-step explanation:

there are 14oz in a pound so 14/16 is 0.875. Rounded up to .9lbs.

Answer:

x = 10

Step-by-step explanation:

if two prisms are similar then the side lengths are proportional

2/4 = x/20 cross multiply expressions

40 = 4x divide both sides by 4

10 = x

Answer:

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Step-by-step explanation:

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Answer:

4/8

Step-by-step explanation:

d = 2n

n+3 = 7

d-3 = 5

substitute '2n' for 'd' in d-3=5

2n-3 = 5

2n = 8

n = 4

d = 2(4)

4/8

Answer:

x = 3.3

Step-by-step explanation:

Reference angle = 51°

Hypotenuse = x

Adjacent = 5.3

Apply trigonometric function CAH, which is:

Cos 51° = Adj/Hyp

Cos 51° = 5.3/x

x*Cos 51° = 5.3

x = 5.3/Cos 51°

x = 3.3 (nearest tenth)