A railroad inspects 360 railcars. if 95% passed, how many cars passed the inspection?

Ratling [72]

Answer:

Choice number one:

$\displaystyle \frac{5}{10}\cdot \frac{4}{9}$ .

Step-by-step explanation:

Let $A$ be the event that the number on the first card is even.
Let $B$ be the event that the number on the second card is even.

The question is asking for the possibility that event $A$ and $B$ happen at the same time. However, whether $A$ occurs or not will influence the probability of $B$ . In other words, $A$ and $B$ are not independent. The probability that both $A$ and $B$ occur needs to be found as the product of

the probability that event $A$ occurs, and
the probability that event $B$ occurs given that event $A$ occurs.

5 out of the ten numbers are even. The probability that event $A$ occurs is:

$\displaystyle P(A) = \frac{5}{10}$ .

In case A occurs, there will only be four cards with even numbers out of the nine cards that are still in the bag. The conditional probability of getting a second card with an even number on it, given that the first card is even, will be:

$\displaystyle P(B|A) = \frac{4}{9}$ .

The probability that both $A$ and $B$ occurs will be:

$\displaystyle P(A \cap B) = P(B\cap A) = P(A) \cdot P(B|A) = \frac{5}{10}\cdot \frac{4}{9}$ .

6 0

3 years ago

Complete this item. Use the definition of a polygon inscribed in a circle to help you develop a definition for a polygon inscrib

SCORPION-xisa [38]

It should be noted that a polygon that's inscribed in a circle has each vertex on the outer figure.

<h3>What is a polygon?</h3>

It should be noted that a polygon simply means a plane figure that has a finite number of straight line segments.

In this case, a polygon that's inscribed in a circle has each vertex on the outer figure. Also regular polygons can be inscribed in a circle.

Learn more about polygon on:

brainly.com/question/24966296

7 0

2 years ago

work out the total area of triangle ABC. calculate the area of AC. sides are:8.2cm and 13.5cm and angle 81 degrees

umka2103 [35]

Answer:

54.67 cm²

Step-by-step explanation:

Given that the two sides of Δ ABC are 8.2 cm and 13.5 cm and the angle included by those sides is 81°.

Let, b = 8.2 cm and c = 13.5 cm and ∠ A = 81°

Hence, area of triangle ABC, Δ = $\frac{1}{2} bc \sin A$