QUESTION 8
Solve the problem that involves probabilities with events that are not mutually exclusive.
Consider a political discussion group consisting of 8 Democrats, 3 Republicans, and 7 Independents. Suppose that two
group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting
an Independent and then a Democrat.
14/81, 25/153, 7/306/ or 4/153?

Answer:

let the width of the playground be X

length will be (X+15)

area - length * width = 2700

(X+15)* X = 2700

x^2+15x-2700=0

x^2+60x-45x-2700=0

X(X+60)-45(X+60)=0

(X+60)(x-45)=0

x=45 because, the dimensions cannot be in negative

so length = 60 and width = 45

Answer: -5.5

Step-by-step explanation:

(; -2= 7/2

-5+ 7 =12

12/2=5

Answer is : y= -x + 5

Answer:

y=-x+5

Step-by-step explanation:

have a great day :))))

Answer: Mason made $185.00

Step-by-step explanation:

For the first 10 suits he made $12.50 each suit, then he made $20 for the additional 3.  (Just ignore the "suits part ._.)

250*.05=12.50

250*.08=20

12.50*10=125

3*20=60

125+60=185.

Answer: 9/25, Percentage: 36%

Answer:

3 grams

Step-by-step explanation:

We are going to take the mass of a bunch of little strips below the triangle "roof." To do this, we must figure out what formula for the mass we'll use, in this case, we'll use:

Mass of strip = denisty * area = (1+x)*y*deltax grams

now, because the "roof" of the triangle contains two different integrals (it completely changes direction), we will use TWO integrals!

**pretend ∈ is the sum symbol

Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral -1 to 0 of (1+x)*3*(x+1) = 3 * integral -1 to 0 of (x^2 + 2x + 1) = 3 *  1/3 = 1

Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral 0 to 1 of (1+x)*3*(-x+1) = 3 * integral 0 to 1 of (-x^2 + 1) = 3 * 2/3 = 2

Total mass = mass left + mass right = 1 + 2 = 3 grams

Answer:

The third one

Step-by-step explanation:

Answer:

Hey mate......

Step-by-step explanation:

The third option is the correct one....

hope it helps,

mark me as the brainliest.....

follow me.....

Answer:

3  3/4

(Decimal: 3.75)

Step-by-step explanation:

Answer:

7/15

Step-by-step explanation:

3 + 4 / 3 * 5

7 / 15

Answer:

[See Below]

Step-by-step explanation:

[tex]Hey~There![/tex]

_____________________

➜ First we have to turn to into a proper equation:

➜ Now we solve the two parts:

➜ Then we can divide:

_____________________

So your answer would be:

_____________________

[tex]Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane[/tex] ヅ

Answer:

I believe 3 ways based on what I see in the picture.

Answer:

x = (3,4,5,6,7,8)

Step-by-step explanation:

3 <= x <= 8

Answer:

that's easy

Step-by-step explanation:

first we should check the 5 cm in scale .

Then we can easily draw 5 cm in side and diagonal.

hope it's clear to you.

Answer:

I think the answer is B :)

Step-by-step explanation:

The solution is Option B.

The value of x is given from the inequality equation 0 < x < 27

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

From the parallelogram , AB ≈ BC

So , The ( ∠ CBD ) > ( ∠ ABD )

Substituting the values in the equation , we get

( 2x ) < 54°

Divide by 2 on both sides of the equation , we get

x < 54/2

x < 27°

And , ∠ ABD cannot be negative or zero ,

So , 2x < 0

Divide by 2 on both sides of the equation , we get

x < 0

Hence , the inequality equation is 0 < x < 27

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ2

Answer:

14

Step-by-step explanation:

Step 1:

6 - ( 5x - 9 ) 2       Equation

Step 2:

6 - ( 5 ( 1 ) - 9 ) 2     Input x

Step 3:

6 - ( 5 - 9 ) 2      Multiply

Step 4:

6 - ( - 4 ) 2        Subtract

Step 5:

6 - ( - 8 )      Multiply

Answer:

14        Add

Hope This Helps :)

Answer:

14

Step-by-step explanation:

1) 6-(5[1]-9)2

2) 6-(5-9)2

3) 6-(10-18)

4) 6-(-8)

5) 14

Answer: The answer would be $20, because 20% 5 times is 100% and 4 times 5 is 20

Answer:

inner and outer core are the ones that have iron and nickel

Step-by-step explanation:

The answer is inner and outer core

Answer:

Option 3

Step-by-step explanation:

f inverse =

[tex] \frac{3x - 15}{4} [/tex]

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]3x-24=81[/tex]

Collect like terms and simplify

[tex]3x=81+24\\\\3x = 105[/tex]

Divide both sides of the equation by 3

[tex]\frac{3x}{3} = \frac{105}{3} \\\\Simplify\\\\x = 35[/tex]

Answer:

i am pretty sure it's -14.92

Step-by-step explanation:

Answer:

B!!!

Step-by-step explanation:

Answer:

I think its 229

if you take how many yellow marbles he got out of 7 it would be 3/7 and then I divided 400 by 7 and got 57. something so I multiplied 3 times 57 and got 171. So if you take 400-171 you get 229

Answer:

Step-by-step explanation:

Area of a square platform = Length × Length

A = L² (note that all the sides of a square are equal)

Given

A = 16m²

L² = 16

L = √16

L = 4m

Hence the dimension of the square is 4m by 4m (use the dimension when sketching the diagram. Al the sides is the diagram must be the same i.e 4m)

Perimeter of the square = 4L

P = 4(4)

P = 16m

Hence the perimeter of the platform is 16m

Answer:

  24√3 square units

Step-by-step explanation:

The side length of a regular hexagon is 2/√3 times the length of the apothem. For an apothem of 2√3, the side length is ...

  s = (2/√3)(2√3) = 4

The perimeter P of the hexagon is 6 times the side length, so is 6×4 = 24.

The area is given by ...

  A = 1/2Pa

where P is the perimeter and 'a' is the apothem.

  A = 1/2(24)(2√3) = 24√3

The area of the hexagon is 24√3 square units.

_____

A hexagon can be divided into 6 congruent equilateral triangles. The apothem will be the altitude of one of those, so will divide the triangle into two triangles with angles 30°, 60°, and 90°. The ratios of the side lengths of such a triangle is something you might want to remember: 1 : √3 : 2. The altitude corresponds to the "√3" side, and the side length of the equilateral triangle corresponds to the "2" side. That is, we have the proportion ...

  apothem : hexagon side = √3 : 2

Multiplying by 2 gives the actual values in the hexagon of this problem:

  apothem : hexagon side = 2√3 : 4

Answer: 6. 113.398  7.  354.882  8. 4.82803

HOPE THIS HELPS!

Step-by-step explanation:

Answer: m = ½

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

Answer:

n  m

Step-by-step explanation:

mn