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skelet666 [1.2K]

2 years ago

11

Two dice: Find the probability of rolling an odd number on the first die and an even number on the second die.

2 answers:

valkas [14]2 years ago

7 0

Both events happen with probability 1/2: there are 3 even numbers and 3 odd numbers in a die.

Since the two events are also independent (the outcome of the first die doesn't affect the outcome of the second), we have to multiply those probability.

So, you roll an odd number on the first die and an even number on the second die with probability

$\dfrac{1}{2}\cdot\dfrac{1}{2}=\dfrac{1}{4}$

klasskru [66]2 years ago

3 0

Answer:

1/4; 25%

Step-by-step explanation:

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AnnyKZ [126]

Answer:

3%

Step-by-step explanation:

3 0

2 years ago

What are the similarities and differences between the Distance and Midpoint Formulas?

UkoKoshka [18]

The distance formula is used to find the distance between two points in the coordinate plane. The point that is at the same distance from two points A and B on a line is called the midpoint. You calculate the midpoint using the midpoint formula.

4 0

2 years ago

Need to check algrabic anwsers

Svet_ta [14]

Answer:

What are the equations and anwsers?

6 0

2 years ago

Write a function in any form that would match the graph shown below

ella [17]

Answers:

Vertex form: y = -2(x-1)^2 + 8
Standard form: y = -2x^2 + 4x + 6

Pick whichever form you prefer.

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

Explanation:

The vertex is the highest point in this case, which is located at (1,8).

In general, the vertex is (h,k). So we have h = 1 and k = 8.

One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.

Plug those four values mentioned into the equation below. Solve for 'a'.

y = a(x-h)^2 + k

0 = a(-1-1)^2+8

0 = a(-2)^2+8

0 = 4a+8

4a+8 = 0

4a = -8

a = -8/4

a = -2

The vertex form of this parabola is y = -2(x-1)^2+8

Expanding that out gets us the following

y = -2(x-1)^2+8

y = -2(x^2-2x+1)+8

y = -2x^2+4x-2+8

y = -2x^2+4x+6 .... equation in standard form

7 0

1 year ago

Flying against the wind, a jet travels 2160 miles in 3 hours. Flying with the wind, same jet travels 6000 miles in 6 hours. What

marissa [1.9K]

Answer:

The velocity of jet in still air is $860miles/hour$ and velocity of wind is $140miles/hour$ .

Step-by-step explanation:

Let x be the rate of the jet in still air and y be the rate of the wind.

Given:

Velocity against wind, a jet travels 2160 miles in 3 hours.

Velocity against wind $=\frac{2160}{3} = 720 miles/hour$

Flying with the wind, same jet travels 6000 miles in 6 hours.

Flying with the wind $=\frac{6000}{6} = 1000 miles/hour$

As such its velocity against wind is $x-y$

and with wind is $x+y$ therefore

$x-y=720$ ------------(1)

$x+y=1000$ ---------------(2)

Adding equation 1 and 2.

$2x=1720$

$x=\frac{1720}{2}$

$x=860$

Put x value in equation 2

$860+y=1000$

$y=1000-860$

$y=140$

Hence velocity of jet in still air is $860miles/hour$ and velocity of wind is $140miles/hour$ .

8 0

3 years ago