With the number set: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, what is the probability of choosing an even number?

Answer:

[tex]\small \sf \frac{2}{3} = x \\ [/tex]

Step-by-step explanation:

Solve for x;

2x - ( x - 2 ) = 4x

distribute minus sign through parantheses

combine like terms

subtract x from both side

Divide each side by 3

[tex] \small \sf \frac{2}{3} = \frac{3x}{3} \\ [/tex]

[tex]\small \sf \frac{2}{3} = x\: \\ [/tex]

Answer:

76%

Step-by-step explanation:

Number of students=25

Number of girls=6

Number of boys=25-6=19

% of boys=number of boys/number of students x 100

=19/25x100

=19x4=76%

Answer:

3.75

Step-by-step explanation:

r²+9²=(6+r) ²

r²+81 = 36+12r + r²

81=36+12r

=> 12r = 45

r = 45/12 = 3.75

Answer: 11

Step-by-step explanation:

g(x)=(2x+1)

g(x)=5

g(5)=2(5)+1

     =10+1

g(5)     =11

Answer:

The size of your deposit should be $13,023.92.

Step-by-step explanation:

First, the real interest has to be calculated using the following formula:

r = [(1 + i) / (1 + inf)] - 1 ..................... (1)

Where;

i = market interest rate = Interest rate on the account = 12%, or 0.12

r = real interest rate = ?

inf = inflation rate = 10%, or 0.10

Substituting the values into equation (1) and solve for r, we have:

r = [(1 + 0.12) / (1 + 0.10)] - 1 = 0.0181818181818183

Since you will need to pay ksh144,000 at beginning of first in a 4- year program, this implies that the relevant to use in calculating the size of the deposit is the formula for calculating the Future Value (FV) of an Annuity Due as follows:

FV = P * (((1 + r)^n - 1) / r) * (1 + r) ................................. (2)

Where,

FV = Future value or the amount needed to pay on the 20th birthday = ksh144,000

P = Fixed annual payment or size of the deposit = ?

r = real interest rate = 0.0181818181818183

n = number of years = 20 - 10 = 10 (Since you will make a deposit 1 year from today annually and continue to make an identical deposit each year up to and including the year you begin college.)

Substituting the values into equation (2) and solve for P, we have:

144,000 = P * (((1 + 0.0181818181818183)^10 - 1) / 0.0181818181818183) * (1 + 0.0181818181818183)

144,000 = P * 10.8591414092614 * 1.0181818181818183

144,000 = P * 11.0565803439752

P = 144,000 / 11.0565803439752

P = $ 13,023.92

Therefore, the size of your deposit should be $13,023.92.

Answer:

The answer is "Options A, B, and E represent mutually exclusive events".

Step-by-step explanation:

Two occurrences that can happen immediately called mutually incompatible. Let's now glance at our options and figure out where the statements are mutually incompatible events.

In Option A: You could see that landing on an unwanted portion and arriving on 2 are events that are locally incompatible, even as undesirable portion contains 3 and 4, and 2 were shaded.

In Option B: Arriving on a shaded part and falling on 3 are also mutually incompatible because there are 3 on a windows azure.

In Option C: A darkened portion and an increasing amount can land while 2 would be an even number as well as on the shaded portion. That number is very much the same.

In Option D: At the same time as 4 is greater than 3 and it is situated upon an undistressed section, landing and attracting a number larger than 3 can happen.

In Option E: Landing on a shaded part and landing on even a shaded part is an excluding event, since shaders may either be shaded or unlit.

Answer:

first, second and fifth

Step-by-step explanation:

edge 2021

Answer:

104

Step-by-step explanation:

18 for the bottom section, 35 for the middle section, and 51 for the top triangle.

Answer: [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]

Step-by-step explanation:

Given

ABCD is a parallelogram

Side AD is 9 cm more than twice AB i.e.

[tex]AD=9+2AB[/tex]

Also, for parallelogram

[tex]\Rightarrow AB=CD,BC=CD[/tex]

Perimeter is the sum of the sides

[tex]\therefore AB+BC+CD+AD=96\\\Rightarrow AB+AD+AB+AD=96\\\Rightarrow AB+AD=48\\\\\text{Substitute the value of AD}\\\Rightarrow AB+9+2AB=48\\\Rightarrow 3AB=39\\\Rightarrow AB=13[/tex]

So, [tex]AD=35\ cm[/tex]

Thus, [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]

Answer: AB=11

AD=31

BC=31

CD=11

Step-by-step explanation:

Complete Question:

A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE. What is BD?

*The circle is attached below in the attachment

Answer:

BD = 11

Step-by-step explanation:

Given:

AE = x

EC = x + 12

BE = x + 2

ED = x + 5

Required:

Length of BD

Solution:

First, create an equation to find the value of (x + 2)(x + 5) = (x)(x + 12) => intersecting chords theorem

x(x + 5) + 2(x + 5) = x(x + 12)

x² + 5x + 2x + 10 = x² + 12x

Add like terms

x² + 7x + 10 = x² + 12x

Subtract x² from each side

x² + 7x + 10 - x² = x² + 12x - x²

7x + 10 = 12x

10 = 12x - 7x

10 = 5x

10/5 = 5x/5

2 = x

x = 2

Next, find BD:

BD = BE + ED

BD = x + 2 + x + 5

Add like terms

BD = 2x + 7

Plug in the value of x

BD = 2(2) + 7

BD = 4 + 7

BD = 11

Answer:

What is BD?

11  units

Step-by-step explanation:

Answer:

[tex] \frac{1}{ {6}^{8} } [/tex]

Step-by-step explanation:

when the is a base raised to a negative power.....put it under 1 and the negative power now becomes a positive power

Example: 5^-2 = 1/5^2

Step-by-step explanation:

please check the attachment

Answer:

1: 98

2: 82

3: 98

4: 82

Step-by-step explanation:

So 2 is 82deg then the opposite is also 82 so 4 is 82deg

Then 82+82 = 164deg, and we remain with 360deg-164deg which is = 196.

Since the other two angles will be equal (they are opposite each other) we can decide 196/2 = 98

So 3 and 1 are 98deg

Answer:

Step

<2 and <4 are vertically opposite. They are equal

<2 = 82               Given

<4 =  82              Vertically opposite to a given

<3 = 180 - 82       <3 and <4 are supplementary. They are on the same straight line.

<3 = 98

<1 = 98                 Vertically opposite  angles are equal.

First solution :

Say, x = 0

→ 2x + 3y = 4

→ 2(0) + 3y = 4

→ 0 + 3y = 4

→ 3y = 4

→ y = 4/3

Second solution :

Say, x = 1

→ 2x + 3y = 4

→ 2(1) + 3y = 4

→ 2 + 3y = 4

→ 3y = 4 - 2

→ 3y = 2

→ y = 2/3

Third solution :

Say, x = 2

→ 2x + 3y = 4

→ 2(2) + 3y = 4

→ 4 + 3y = 4

→ 3y = 4 - 4

→ 3y = 0

→ y = 0 ÷ 3

→ y = 0

Answer:

<I= 15degrees

Step-by-step explanation:

Using the cosine rule formulae;

j² = i²+k²-2i cos <J

j² = 37²+57² - 2(37)(57)cos <141

j² = 1369+ 3249- 4218cos <141

j² = 4618- 4218cos <141

j² = 4618-(-3,278)

j²= 7,896

j = √7,896

j = 88.86inches

Next is to get <I

i² = j²+k²-2jk cos <I

37² = 88.86²+57² - 2(88.86)(57)cos <I

1369 = 7,896.0996+ 3249- 10,130.04cos <I

1369 = 11,145.0996 - 10,130.04cos <I

1369 - 11,145.0996 = - 10,130.04cos <I

-9,776.0996=- 10,130.04cos <I

cos <I =9,776.0996 /10,130.04

cos<I = 0.96506

<I = 15.19

<I= 15degrees

Answer:

There was no van stated in the question, but if the van was the truck, the answer would be $50.

Step-by-step explanation:

We can split the problem into 2 parts. First, there is a flat fee of $30 to rent the truck.

Now, we can calculate the cost to rent the truck for 80 miles excluding the flat fee by multiplying the values together.

$0.25/mile * 80 miles = $20

Now, we can add the values up.

This will give us: $30 + $20 = $50

Answer:

Choosing five CDs where not all of them are pop.

Step-by-step explanation:

Answer:

B)  choosing five CDs where not all of them are pop

Step-by-step explanation:

E2020

Answer:

Step-by-step explanation:

It's not the correct choice. If a root is given, that is the same thing as the solution. We go backwards from a solution to a factor, which is what you need to do here.

If x = 2i is the solution, then the factor is

(x - 2i). Likewise, with the other one.

If x = 3i is the solution, then the factor is

(x - 3i). The leading coefficient of 1 just sits outside the first set of parenthesis, and because multiplication is commutative, it doesn't matter which set you put first. Thus, the one you want looks like this:

f(x) = (x - 2i)(x - 3i) or

f(x) = (x - 3i)(x - 2i).

Answer:

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression.  

Step-by-step explanation:

Answer:

150 feet2 50 feet I hope this helps!

Step-by-step explanation:

Answer:

19: x=5

20: x=13

21: y= 11

     x= 11

Step-by-step explanation:

Answer:

Decompose each number:

\begin{gathered}6) 90 = 9 \times 10\\\\7) 40 = 4 \times 10\\\\8)890 = 89 \times 10\\\\9) 300 = 3 \times 100\\\\10) 7000 = 7 \times 1000\\\\11)3700 = 37 \times 100\\\\\end{gathered}

6)90=9×10

7)40=4×10

8)890=89×10

9)300=3×100

10)7000=7×1000

11)3700=37×100

Correct the error. Write the correct decomposition:

\begin{gathered}12) 560 = 56 \times 10\\\\13) 4300 = 43 \times 100\\\\14) 6000 = 60 \times 100 \ \ or \ \ 6 \times 1000\end{gathered}

12)560=56×10

13)4300=43×100

14)6000=60×100 or 6×1000

Answer:

(-3,0)

Step-by-step explanation:

Step 1 identify coordinates of A

The coordinate of A is (-6 , 2)

Step 2 apply translation by adding 3 to the x value and subtracting 2 from the y value

(-6 + 3 , 2 - 2)

Simplify

(-3 , 0)

Answer:

Following are the response to the given question:

Step-by-step explanation:

Move b a bit further if the angle between cd and ab changes when you move b if you want to make a perpendicular point to cd The angle BEC is 90 ° for making the AB line perpendicular to the line CD to transfer point B to the angle between the two lines.

Answer:

B. 263 cm²

Step-by-step explanation:

Surface area of the figure represented by the net = area of all parts of the net which consists of 3 rectangles and 2 triangles

✔️Area of the first two equal rectangles = 2(L*W)

L = 12 cm

W = 6 cm

Area of the first two equal rectangles = 2(12*6)

= 144 cm²

✔️Area of the third rectangle = L*W

L = 12 cm

W = 7 cm

Area = 12*7

= 84 cm²

✔️Area of the two equal triangles = 2(½*b*h) = b*h

b = 7 cm

h = 5 cm

Area = 7*5

= 35 cm²

✔️Surface area of the space figure = 144 + 84 + 35

= 263 cm²

Answer:

The tenths place.

Step-by-step explanation:

If you want to buy 2 1/2 lb of cheese, you want to buy 2.5lbs. The tenths place is the first place after the decimal, and the place the scale needs to show to show you 2.5lbs.

Answer:

tenths place

Step-by-step explanation:

Answer:

Equation: 4x+1+75=180

X= 26

105°

Step-by-step explanation:

When added, the two angles would create a flat angle of 180°, so just add the two angles:

4x+1+75=180

4x+76=180

   -76   -76

4x=104

x=26

Input the solved x value into the angle to get the angle measure

4(26)+1 = 105

Step-by-step explanation:

113,1 cm^3

The volume of the sphere is V = 113.097 cm³

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the radius of the sphere be r = 3 cm

Let the volume of the sphere be V

The formula for the volume of a sphere is:

V = (4/3)πr³

where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.

Substituting r = 3 cm into the formula, we get:

V = (4/3)π(3 cm)³

V = (4/3)π(27 cm³)

V = (4/3)(3.14159)(27 cm³)

V = 113.097 cm³

Hence , the volume of the sphere is 113.097 cm³ when the radius is 3 cm.

To learn more about sphere click :

https://brainly.com/question/27933834

#SPJ7

Answer:

D

Step-by-step explanation:

bbbbuujbhhtdddfyuuiiiiiooohhgff

Answer:

D...

Step-by-step explanation:

d is the answer hope it helps

Answer:

(3 [tex]\frac{1}{3}[/tex] , 5 [tex]\frac{2}{3}[/tex] )

Step-by-step explanation:

x + y = -9    --> y = -x -9  

4x + y = -19 --> y = -4x - 19

Graph accordingly.