Probability is simply the likelihood of something occurring. When we are uncertain about the outcome of an event, we can discuss the probabilities of various outcomes—how likely they are.
Statistics is the study of events governed by probability.

The formula for finding the probability is;

Probability(event) = favourable outcome/total outcome

Total red marbles in the bag = 3.

Total blue marbles in the bag = 4.

Total marbles = 7.

As, the case is with replacement total marble will remain same after the drawn of first marble.

The probability that first marble be red = 3/7

The probability that first marble be red = 3/7

The combine probability getting red marble = 3/7 × 3/7 = 9/49

The probability that first marble be blue = 4/7

The probability that first marble be blue = 4/7

The combine probability getting blue marble = 4/7 × 4/7 = 16/49.

The condition for OR either red or blue marble be drawn.

Thus,

The combine probability getting marble of same colour = 9/49 + 16/49.

Therefore, the combine probability getting marble of same colour = 25/49.

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5 0

2 years ago

Urgently need help step by step explanation needed

Goryan [66]

Answer:

p=8

Step-by-step explanation:

-5log(p+1)+2=-8

-5log(p+1)=-10

log(p+1)=2

p+1=9, p=8

6 0

3 years ago

Give at least five problems solving about area of a sector of a circle.

Katyanochek1 [597]

See below for the examples of sectors and arcs of a circle

<h3>Area of sector of a circle</h3>

The area of a sector is calculated as:

$A = \frac{\theta}{360} * \pi r^2$ ---- when the angle is in degrees

$A = \frac{\theta}{2} *r^2$ ---- when the angle is in radians

Take for instance, we have the following problems involving sector areas

Calculate the area of a sector where the radius of the circle is 7, and

The central angle is 30 degrees
The central angle is π/12 rad
The central angle is 90 degrees
The central angle is π/4 rad
The central angle is 180 degrees

Using the above formulas, the sector areas are:

1. $A = \frac{30}{360}* \frac{22}{7} * 7^2 = 12.83$

2. $A = \frac{\pi}{12} * 7^2 = 12.83$

3. $A = \frac{90}{360}* \frac{22}{7} * 7^2 = 38.5$

4. $A = \frac{\pi}{2} * 7^2 = 38.5$

5. $A = \frac{180}{360}* \frac{22}{7} * 7^2 = 77$

<h3>Examples of arc length</h3>

The length of an arc is calculated as:

$L= \frac{\theta}{360} * 2\pi r$ ---- when the angle is in degrees

$L = r\theta$ ---- when the angle is in radians

Take for instance, we have the following problems involving arc lengths

Calculate the length of an arc where the radius of the circle is 7, and

The central angle is 30 degrees
The central angle is π/12 rad
The central angle is 90 degrees
The central angle is π/4 rad
The central angle is 180 degrees

Using the above formulas, the arc lengths are:

1. $L = \frac{30}{360}* 2 * \frac{22}{7} * 7 = 3.7$

2. $L = \frac{\pi}{12} * 7 = 3.7$

3. $L = \frac{90}{360}*2 * \frac{22}{7} * 7 = 11.0$

4. $L = \frac{\pi}{4} * 7 = 11$

5. $L = \frac{180}{360}*2 * \frac{22}{7} * 7 = 22$

<h3>Examples of the arcs of a circle</h3>

The examples include:

A parabolic path
Distance in a curve
Curved bridges
Pizza
Bows