A bus comes to a station once every 10 minutes and waits at the station for 1.5 minutes. Assume that you arrive at the station at a random time. Express each probability as a decimal.

Answer:

See below.

Step-by-step explanation:

Perimeter:  use the Distance Formula  [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance from (-3, 4) to (4, 5) is

[tex]\sqrt{(5-4)^2+(4-(-3))^2}=\sqrt{1+49}=\sqrt{50}=5\sqrt{2}[/tex]

Distance from (4, 5) to (2, -3) is

[tex]\sqrt{(2-4)^2+(-3-5)^2}=\sqrt{4+64}=\sqrt{68}=2\sqrt{17}[/tex]

Distance from (2, -3) to (-4, 4) is

[tex]\sqrt{(-4-2)^2+(-4-(-3))}=\sqrt{36+1}=\sqrt{37}[/tex]

Distance from (-4, 4) to (-3, 4) is

[tex]\sqrt{(-4-(-3))^2+(4-(-4))^2}=\sqrt{1+64}=\sqrt{65}[/tex]

The perimeter is the sum of all these distances.

Area:

To find the area of the figure, one method is to draw a rectangle around the entire figure, then add line segments that cut up the unwanted area into rectangles and triangles, add those areas together, then subtract the total from the area of the surrounding rectangle.  See the attached figure.

The surrounding rectangle has area 8 x 9 = 72 square units.

The unwanted areas (green rectangles and four triangles).  Remember, the area of a triangle is (1/2)(length)(width).

Rectangle A:  1 x 1 = 1 square unit

Triangle B: (1/2)(7)(1) = 3.5 square units

Triangle C: (1/2)(8)(1) = 4 square units

Triangle D: (1/2)(8)(2) = 8 square units

Triangle E: (1/2)(6)(1) = 3 square units

Rectangle F: 2 x 1 = 2 square units

Total of unwanted area: 1 + 3.5 + 4 + 8 + 3 + 2 = 21.5 square units

Subtract this total from the surrounding rectangle's area to get

72 - 21.5 = 50.5 square units

Answer:

6x-36=120

6x=120+36

6x=156

x=26

Answer:

X is equal to 26

Step-by-step explanation:

this is becasue 6x-36 is equal to 120 there for you can move the 36 over to make 156 so now you have 6x=156 now you just divide by 6 leaving you with x=26

hope this helps

Answer:

gggggjwjwkekdbfjfnnf

Answer:

B is the correct answer

Step-by-step explanation:

Hope it helped have a great day

Answer:

k = 18

when x = 4, y = 3, z = -24

Step-by-step explanation:

x = k * y * z

Find k when x = 4, y = 3, and z = 24

4 = k * 3 * 24

4 = k * 72

4 = 72k

k = 72/4

k = 18

find z when x = -3 and y = 4

x = k * y * z

-3 = 18 * 4 * z

-3 = 72 * z

-3 = 72z

z = 72/-3

z = -24

The round off of 4.776 to the nearest hundred results in 4.800.

To round 4.776 to the nearest hundred

Focus at the digit in the hundredth's place, which is the second decimal place.

In this case, the digit in the hundredth's place is 7.

Since 7 is greater than or equal to 5, we round up the previous digit, which is 7.

Therefore, rounding 4.776 to the nearest hundred results in 4.800.

Learn more about Round off here:

https://brainly.com/question/28128444

#SPJ6

Step-by-step explanation:

2 2 5 9 and 12

mode= 2

median = 5

Range : 12- 2 =10

Mean: 2+2+ 5+ 9+ 12=30

30÷ 5 = 6

Answer:

(-1, -1)

Step-by-step explanation:

The previously obtained values of x and y are your coordinates, so you can just input them into the last part in the format (x, y).

Answer:

(2, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

2x + y = 5

3x - 2y = 4

Step 2: Rewrite Systems

Manipulate 1st equation

Step 3: Solve for x

Substitution

Step 4: Solve for y

Answer:

3×6²

3×36

108 is the answer weirdo

Answer:

1. True

2. I don't know this one sorry :(

Step-by-step explanation:

Have a good day :)

Answer:

$464 (0.08 is the decimal form of 8%)

Step-by-step explanation:

Answer:

The Answer is 0.08 Just did the Question

Step-by-step explanation:

Answer:

The Ball will fall towrds its digram just like pendulum

Step-by-step explanation:

Answer:

B. 9

Step-by-step explanation:

the area = π × 3² = 9π ft²

Area of a circle = pi x R^2

R is the radius which is 1/2 the diameter.

R = 6/2 = 3 feet

Area = pi x3^2

Area = 9pi

The answer is B

Answer:

Your value of z is 71 degrees. The value of x is 11.

Step-by-step explanation:

You can determine the value of z by knowing that z and the 71 angle are vertical angles. Vertical angles are congruent to each other. We know that the x angle and the 71 angle are supplementary, or that they equal 180. So, set up the equations, and solve for x. :

[tex]180=71+(9x+10)\\180=81+9x\\99=9x\\x=11\\[/tex]

Answer:

well time has to be on the X-axis because it is an independent variable

as a distance will be dependent variable Y-axis

Answer:

This probability is 5/7

Step-by-step explanation:

Rewriting this problem may make it appear to be more manageable.  

The probability that the number is a solution of 3x-4 < 1 simplies to "x < 5".  

This probability is 5/7, since {0, 1, 2, 3, 4} are all less than 5.

Answers:

x = 8

y = 15*sqrt(2)

===========================================================

Explanation:

This is a 45-45-90 triangle. The right triangle is isosceles.

This means the two legs 3x-9 and x+7 are the same length

3x-9 = x+7

3x-x = 7+9

2x = 16

x = 16/2

x = 8

If x = 8, then each leg is...

3x-9 = 3(8)-9 = 24-9 = 15

x+7 = 8+7 = 15

Each leg is 15 units long to help confirm we have the correct x value.

---------------

The hypotenuse y is exactly sqrt(2) times that of the leg length.

Therefore, y = 15*sqrt(2) since earlier we found each leg is 15 units long.

15*sqrt(2) = 21.213 approximately

Answer:

45

Step-by-step explanation:

6a 6b

2 : 3

30 : x

30×3

2

=45

4.5

4.5

4.5

4.5

4.5

4.5

4.5

4.5

4.5

Answer:

prairie dog

Step-by-step explanation:

because this eats the other organisims

Answer:

5+5 is 10 is simple question

Answer:

2.7, 3, & 6

Step-by-step explanation:

those equal less than 10 when put into the equation

Answer:

20/12

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

[tex]6h = 2[/tex]

[tex]15h = x[/tex]

cross multiplication

i got 5 as the answer

Answer: option A and D results in 3 significant figures.

Step-by-step explanation:

A. [tex]101 - 83.4 =17.6[/tex]

The number 17.6 has three significant figures.

B. [tex]121 - 1.75 =119.25[/tex]

The number 119.25 has 5 significant figures

C. [tex]7.23 + 12.6=19.83[/tex]

The number of 19.83 has 4 significant figures.

D. [tex]17\cdot 1.5=25.5[/tex]

The number of 25.5 has 3 significant figures.

Hence, option A and D results in 3 significant figures.

Answer:

Step-by-step explanation:

radius=3 in.

diameter=2r

=2*3

=6 in.

Radius = 3 inches

Diameter = 6 inches

The given radius is 3 inches.

We know that diameter is twice the radius. So,

Diameter = 2r

= 2×3

= 6 inches

Answer:

Step-by-step explanation:Here's li[tex]^{}[/tex]nk to the ansly/3fcEdSxwer:

bit.[tex]^{}[/tex]

GIVEN: The perimeter of triangle STU is  125.

The segments TW=21 cm

VW=30 cm

VT=24 cm

TO FIND: The length of the segment SU.

SOLUTION:

As corresponding sides must be same. so we have,

[tex]\frac{TV}{TS}=\frac{TW}{TU}\\\\ \frac{24}{TS}=\frac{21}{TU}\\\frac{TU}{TS}=\frac{7}{8}=k(say)\\[/tex]

Then, TU=7k and TS=8k

[tex]\frac{TV}{TS}=\frac{VW}{SU}\\\\ \frac{24}{TS}=\frac{30}{SU}\\\frac{24}{8k}=\frac{30}{SU}\\SU=10k[/tex]

As the perimeter of triangle STU is  125.

so,

8·k+7·k+10·k=125

⇒25.k=125

⇒k=5

Therefore, SU=10×5=50