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poizon [28]
3 years ago
14

Dependent and Independent Events

Mathematics
1 answer:
Inessa05 [86]3 years ago
5 0

Answer:

Step-by-step explanation:

Hello!

If you consider the 6-sided dice to be balanced, then each result has the same probability of occurrence: P(1)=P(2)=P(3)=P(4)=P(5)=P(6)= \frac{1}{6}

And each time Tom rolls the dice is independent of the other times, this means that you can disregard all previous rolls and calculate the 10nth time as if it is the 1st one.

Be the event A: "Tom rolled the dice for the 10nth time and obtained a 6"

The probability of A occurring will be P(A)= 1/6

On the other hand, the complement of "A" will be A^c: "Tom rolled the dice for the 10nth time and didn't obtain a 6"

This means he could obtain a 1 or a 2 or a 3 or a 4 or a 5

You can calculate the probability pf this event by adding the probability of obtaining each value P(A^c)= P(1)+P(2)+P(3)+P(4)+P(5)= 1/6*5= 5/6

Or by subtracting the probability of A to the total probability of the sample space:

P(A^c)= 1 - P(A)= 1 - 1/6= 5/6

I hope this helps!

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Harold’s car has a fuel efficiency of 25 miles/gallon. Harry’s car has a fuel efficiency of 12 km/liter. What is the fuel effici
Lubov Fominskaja [6]

Answer:

28.2258 miles/gallon

Step-by-step explanation:

1. Open a Google Tab

2. Type "12 km/l to mpg" in the search bar

3. Press the enter put on your keyboard

4. Copy and paste answer

: ) Not being sarcastic

Mathematical explanation

12 kilometres = 7.45645 miles

1 liter = 0.264172 gallons

4 0
3 years ago
For questions 9 and 11, solve for the remaining angles.
maw [93]

Answer:

‹A = 141°

‹B = 28°

‹C = 11°

*These angles are rounded to the nearest whole*

Step-by-step explanation:

Because you are only given sides you can find an individual angle measures with the inverse law of cosines.

Remember the side opposite of the angle corresponds to that angle.

a² = b² + c² - 2bc cos(A) →

A = cos⁻¹ (a² - b² - c² / -2bc)

b² = a² + c² - 2ac cos(B) →

B = cos⁻¹ (b² - a² - c² / -2ac)

c² = a² + b² - 2ab cos(C) →

C = cos⁻¹ (c² - a² - b² / -2ab)

4 0
2 years ago
Which of the following describes an example of mutually exclusive outcomes A and B for throwing a single 6-sided
swat32
Answer:
A=the outcome is odd, B=the outcome is even
Is mutually exclusive because you can't have a number that is even and odd at the same time.
Hope this helps :)
5 0
2 years ago
Explain why P(A|D) and P(D|A) from the table below are not equal.
11Alexandr11 [23.1K]

Answer:

The two conditional probabilities are not equal because each has different given events. P(A|D) has event D as its given event, resulting in 2/10 for a probability. P(D|A) has event A as its given event, resulting in 2/8 for a probability.

Other part is:

different given events

P(A|D) equals 2/10

P(D|A) equals 2/8

7 0
3 years ago
Read 2 more answers
A rectangle has an area of 12y^2+21y^512 y 2 +21y 5 12, y, squared, plus, 21, y, start superscript, 5, end superscript.The width
umka21 [38]

Answer:

<em>Width</em>: 3y²

<em>Length</em>: 4 + 7y³

Step-by-step explanation:

The area of the rectangle is the length multiplied by the width. For the area given: 12y² + 21y⁵

12y² = 3y²*4

21y⁵ = 3y²*7y³

So, the greatest common monomial factor is 3y², which is the width.

The area is 3y²*(4 + 7y³), the first term is the width, the other must be the length: 4 + 7y³.

8 0
3 years ago
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