All categories

2 years ago

Which inequality statement best describes the probability of event (P) ?

Mathematics

1 answer:

Black_prince [1.1K]2 years ago

6 0

Answer:

$0\le P\le 1$

Step-by-step explanation:

The probability of an event is a number describing the chance that the event will happen.

Definition: The probability of an evant is

$P=\dfrac{\text{Number of favorable outcomes}}{\text{Number of all possible outcomes}}$

1. An event that is certain to happen (Number of favorable outcomes = Number of all possible outcomes) has a probability of 1.

2. An event that cannot possibly happen (Number of favorable outcomes = 0) has a probability of 0.

3. If there is a chance that an event will happen, then its probability is between 0 and 1.

Thus,

$0\le P\le 1$

You might be interested in

You begin your first day as a police officer earning $30,000/yr. Assuming that you obtain a full 5% increase each year, what wil

spayn [35]

Answer:

The equation for the amount of salary after x number of years is given by:

$y = a(1+r)^x$

where

a is the initial amount

x represents the number of years and

r represents the growth rate( in decimal)

As per the statement:

You begin your first day as a police officer earning $30,000/yr

⇒ a= 30,000

It is also given that you obtain a full 5% increase each year,

⇒ $r = 5\% = 0.05$

then;

$y = 30,000(1+0.05)^x$

$y = 30,000(1.05)^x$ ....[1]

we have to find the salary in three years.

⇒ $x = 3$

Substitute this value in [1] we have

$y = 30,000(1.05)^3$

Simplify:

$y = \$ 34,4728.75$

therefore, your salary be in three years will be $34,4728.75

3 0

2 years ago

Read 2 more answers

Terrence walks at a pace of 2mi/h to the theater and watches a movie for 2 h and 15 min. He rides back home, taking the same rou

Liono4ka [1.6K]

Answer:

The answer to your question is the theater is 6.7 mi from home

Step-by-step explanation:

Data

speed 1 = 2 mi/h

time in theater = 2h 15 min

speed 2 = 40 mi/h

time = 3.5 h

Process

1.- Write the formula to calculate speed

speed = distance / time

-Solve for time

time = speed x time

2.- Write and equation to solve this problem

total time = time from home to theater + time from theater to home

3.- Substitution

3.5 = d/2 + d/40

4.- Solve for d

3.5 = (20d + d) / 40

140 = 21d

d = 140 / 21

d = 6.7 mi

4 0

2 years ago

Ronnie surveyed students to find out which school sport they participated in. Below are the results from the first ten people he

yan [13]

Answer: you need to have a line graph

stay safe

7 0

2 years ago

Jesse has a storage container in the shape of a right rectangular prism. The volume of the container is 43.875 cubic meters, the

AVprozaik [17]

All you have to do is divide the volume of the container (43.875) by 5 (length) and 3.9 (width) because the formula for the volume of a rectangular prism is V=lwh. So the answer/height of the storage container is 2.25 meters

8 0

2 years ago

Read 2 more answers

A graph represents the perimeter ,y, in units for an equilateral triangle with the side lengths x units. The slope of the line i

kicyunya [14]

Answer:

see the explanation

The graph in the attached figure

Step-by-step explanation:

The correct question is

Explain what the slope and intercept mean in each situation.

A graph represents the perimeter,y, in units, for an equilateral triangle with side length x units. The slope of the line is 3 and the y-intercept is 0

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

In this problem

y is the perimeter in units

x is the side length of a equilateral triangle

we have

$m=3\\b=0$

substitute

The linear equation is

$y=3x$ ---> Is a proportional relationship because the line passes through the origin

see the attached figure to better understand the problem

Explanation

The slope is ---> $m=\frac{3}{1}\frac{units}{unit}$

That means

The ratio of perimeter of triangle to side length of triangle is 3:1

The y-intercept is 0

Remember that

The y-intercept is the value of y when the value of x is equal to zero

In this context

The y-intercept is the value of the perimeter when the value of the side length is equal to zero

The value of the perimeter is 0 when the value of side length is 0

3 0

2 years ago