Jane Peterson has taken Amtrak to travel from New York to Washington, DC, on six occasions, of which three times the train was late. Therefore, Jane tells her friends that the probability that this train will arrive on time is 0.50. Would you label this probability as empirical or classical? Why would this probability not be accurate?

Answer:

C) 10.63 units.

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the two points (2, -3) and (-6, 4). Let (2, -3) be (x₁, y₁) and let (-6, 4) be (x₂, y₂). Substitute:

[tex]d=\sqrt{(-6-2)^2+(4-(-3))^2}[/tex]

Simplify:

[tex]d=\sqrt{(-8)^2+(7)^2}[/tex]

Evaluate:

[tex]d=\sqrt{64+49}=\sqrt{113}\approx10.63\text{ units}[/tex]

Our answer is C.

Step-by-step explanation:

a)

[tex] \frac{1 + \sin y}{ \cos y} + \frac{ \cos y}{1 + \sin y} = \frac{1 + 2 \sin y + \sin^{2} y + \cos ^{2} y}{ \cos y(1 + \sin y)} [/tex]

[tex] = \frac{2 + 2 \sin y}{ \cos y (1+ \sin y)} = \frac{2}{ \cos y} = 2 \sec y[/tex]

b)

[tex] \frac{ \cot x}{ \tan x + \cot x} = \frac{ \cos x}{ \sin x( \frac{ \sin x}{ \cos x} + \frac{ \cos x}{ \sin x} )} [/tex]

[tex] = \frac{ \cos x}{ \frac{ \sin^{2} }{ \cos x} + \cos x } = \frac{ \cos x}{ \frac{ \sin ^{2} x + \cos^{2} x}{ \cos x} } [/tex]

[tex] = \cos ^{2} x[/tex]

c) Note that cscx = 1/sinx so

[tex] \csc^{2} \theta \tan^{2} \theta - 1= \frac{1}{ \cos^{2} \theta } - 1[/tex]

[tex] = \frac{1 - \cos^{2} \theta }{ \cos \theta} = \frac{ \sin^{2} \theta}{ \cos ^{2} \theta } = \tan^{2} \theta[/tex]

Answer:

13

Step-by-step explanation:

the answer is 13

the answer is 13

the answer is 13

the answer is 13

the answer is 13

The quotient obtained by dividing 4x²+3x+2 will be 4x + 15 hence option (A) will be correct.

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraint.

Given that

dividend  =  4x²+3x+2

divider = x -3

⇒ (x - 3) / 4x²+3x+2

⇒ (x - 3) / 4x²+3x+2

→ First it will goes for 4x time so 4x × (x - 3) = 4x² - 12x

Quotient = 4x

so (4x²+3x+2) - (  4x² - 12x ) = 15x + 2

(x - 3) / 4x²+3x+2

→ Second time it goes for 15 so 15 × (x - 3) = 15x -45

Quotient = 15

so  (15x + 2 ) - (  15x -45 ) = 47

Hence, 47 will be the remainder and the quotient will be (4x + 15).

For more about the equation, here:

brainly.com/question/10413253

#SPJ2

Answer:

slope = -5 equation= y=-5x+100

Step-by-step explanation:

pick the x and y intercepts as your points to find the gradient that is

(20,0) and (0,100)

slope =∆y/∆x

=100/-20

= -5

take point(20,0) and (x,y) to find equation using the slope

equation becomes y= -5x+100

Answer:

3x+60+60=180 (cointerior angle)

3x+120=180

3x=180-120

3x=60

x=20

Answer:

I think is 15 dollars.

Step-by-step explanation:

each pound cost 1.5 multiply it by 10

Answer:

$15

Step-by-step explanation:

4 pounds are $6

10pounds are $?

1 pound would be $1.5, because 6/4 = 3/2= 1.5

If one pound is 1.5 dollars, 10 pounds would be 10*1.5=$15

Answer:

0-7

Step-by-step explanation:

89-0

Answer:

-1

Step-by-step explanation:

f(0) = -5^0 = -1

Answer:

there are 24.14 kilometers in 15 miles

Answer:

might wanna add the picture for an answer

Step-by-step explanation:

Thanks!!

Answer:

3=a(-3-(-2))^2+2

Step-by-step explanation:

Answer:

3=a(-3-(-2))^2+2

Step-by-step explanation:

Answer:

A1 7% = $400 & A2 8% = $16,600

Step-by-step explanation:

A1 * 7% + A2 * 8% = 1356

A1 + A2 = 17000

A1 = 17000 - A2

(17000 - A2) * 0.07 + A2 * 0.08 = 1356

1190 - 0.07 A2 + 0.08 A2 = 1356

1190 + 0.01 A2 = 1356

0.01 A2 = 166

A2 = 16600

A1 = 17000 - A2

A1 = 17000 - 16600

A1 = 400

Answer:

n+6+2n+3+90=180

3n+99=180

3n=81

n=27

33 plus 90+57=180

Answer:

the value of n is 27 degree

Step-by-step explanation:

n+6+2n+3+90=180 degree (being linear pair)

3n+9+90=180

3n=180-99

3n=81

n=81/3

n=27

A linear pair is a pair of adjacent angles formed when two lines intersect.

Answer:

Ssss

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

9514 1404 393

Answer:

  625

Step-by-step explanation:

The ordered pair is an (x, y) pair. You are given the value of x. Put it in the equation and do the arithmetic.

  y = 5^4 = 625

The ordered pair is (4, 625). The missing value is 625.

_____

Additional comment

The exponentiation function on many calculators is done using a key labeled ...

  [tex]\boxed{y^x}[/tex]

You can do it the long way by recognizing that 5^4 = 5·5·5·5 or 25·25.

Answer:

56%

Step-by-step explanation:

because of the 56% it had to be true to be in the question at all.

Answer:  6x - 7y = 21

Step-by-step explanation:

sorry if its wrong

9514 1404 393

Answer:

Step-by-step explanation:

The rhombus has several relevant properties.

The last of these relations can be used to find x:

  7x° = 35°

  x = 35°/7° = 5

The second of the relations can be used to find y:

  3y° = 90°

  y = 90°/3° = 30

The first of the relations can be used to find z:

  10z -8 = 5z +32

  5z = 40 . . . . . . . . . add 8-5z

  z = 40/5 = 8

Answer:

-1

Step-by-step explanation:

See Image below:)

Answer:

-1

Step-by-step explanation:

Answer: 65 kmh

Step-by-step explanation:

70 kmh for 2 hours = 140 km.

63 kmh for 5 hours = 315 km

140 + 315 = 455/7 total hours = 65 kmh

Answer:

( x-3) (x-8)

Step-by-step explanation:

the zeros of a quadratic are the roots of the equation so you could factor as (x-root 1)(x-root2) = ( x-3) (x-8)

(x-3) and (x-8) are the factors

Answer:

2

Step-by-step explanation:

Just substitute in 7 for the n.

30-4(7)

30-28

2

The 7th term in the sequence is 2.

From the graph,

g(2) = 4 ( from the coordinate (2,4))

[ The green line represent the function g(x)]

f(2)= 0

[ The red line represent the function f(x)]

(g + ƒ)(2) = g(2)+f(2) = 4+0 = 4

OPTION A is the correct answer

Step-by-step explanation:

the answer is in the above image

use the app

WOLFRAM ALPHA it helps a lot

Answer:

[tex] \frac{1}{ 2^{1} } + \frac{1}{ {3}^{2} } + \frac{1}{ {4}^{3} } + \frac{1}{ {5}^{4} } + ... \\ \frac{1}{2} + \frac{1}{9} + \frac{1}{64} + \frac{1}{625} + ... \\ = \frac{226201}{360000} \\ = 0.6283..[/tex]

Answer:

4.

Step-by-step explanation:

The orientation of the shape is the same  4 times during 360 degree turn.

Answer:

4

Step-by-step explanation:

Rotational symmetry, also known as radial symmetry in biology, is the property a shape has when it looks the same after some rotation by a partial turn. An object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation.

Answer:

I think its

im not sure

Step-by-step explanation:

Answer:

The best bet would be x=40

Step-by-step explanation:

Answer:76

Step-by-step explanation: