1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alja [10]
3 years ago
15

When a pair of six sided dice is rolled , each with faces numbered 1 to 6,is rolled once,what is the probability that the result

is either 3 and 4 or a 5 and a prime number?
Mathematics
1 answer:
77julia77 [94]3 years ago
5 0
In probability, there are hint clues that you must be vigilant of. When it tells you to find the probability of event 1 'or' event 2, you must ADD their individual probabilities. When it tells you to find the probability of event 1 'and' event 2, you must MULTIPLY their individual probabilities. 

Now, you have two dices. You are asked to find the probability of getting a face of 3, 4 or 5. The probability of each face of a dice is 1/6, because there are a total of 6 faces. When you use two dices, it becomes 2/12 or still 1/6. So, the total probability of getting either 3, 4 or 5 is: 1/6 + 1/6 + 1/6 = 1/2. However, you still have to multiply this with the total probability of getting a prime numbers which are 1, 2, 3 and 5. Thus, 1/6 + 1/6 + 1/6 + 1/6 = 2/3

Hence, the total probability would be 1/2 * 2/3 = 1/3 or 33%
You might be interested in
What is 2 hundreds+ 2 tens + 18 ones
3241004551 [841]

When you add them together you get 238.

5 0
3 years ago
The graph below shows the function f(x)=x-3/x^2-2x-3 which statement is true
Ugo [173]

Answer:

The correct option is A.

Step-by-step explanation:

Domain:

The expression in the denominator is x^2-2x-3

x² - 2x-3 ≠0

-3 = +1 -4

(x²-2x+1)-4 ≠0

(x²-2x+1)=(x-1)²

(x-1)² - (2)² ≠0

∴a²-b² =(a-b)(a+b)

(x-1-2)(x-1+2) ≠0

(x-3)(x+1) ≠0

x≠3 for all x≠ -1

So there is a hole at x=3 and an asymptote at x= -1, so Option B is wrong

Asymptote:

x-3/x^2-2x-3

We know that denominator is equal to (x-3)(x+1)

x-3/(x-3)(x+1)

x-3 will be cancelled out by x-3

1/x+1

We have asymptote at x=-1 and hole at x=3, therefore the correct option is A....

4 0
3 years ago
Read 2 more answers
Find the sum of the following infinite geometric series, if it exists. 2 + 6 + 18 + 54 +… Does not exist 23,567 25,982 29,034
Sladkaya [172]

Option A: The sum for the infinite geometric series does not exist

Explanation:

The given series is 2+6+18+54+.......

We need to determine the sum for the infinite geometric series.

<u>Common ratio:</u>

The common difference for the given infinite series is given by

r=\frac{6}{2}=3

Thus, the common difference is r=3

<u>Sum of the infinite series:</u>

The sum of the infinite series can be determined using the formula,

S_{\infty}=\frac{a}{1-r}   where 0

Since, the value of r is 3 and the value of r does not lie in the limit 0

Hence, the sum for the given infinite geometric series does not exist.

Therefore, Option A is the correct answer.

8 0
3 years ago
Could anyone answer this please ​
Ksivusya [100]

Answer:

30-60-90 triangle rule

x=16

Step-by-step explanation:

8 = given  

8\sqrt{3} = y

8*2= 16 = x

(2x)

5 0
3 years ago
What is the inverse of the function f(x)=1/9x+2
Anna35 [415]

Answer:

f^{-1}(x)=9x-18

Step-by-step explanation:

we have

f(x)=\frac{1}{9}x+2

Let

y=f(x)

y=\frac{1}{9}x+2

Exchange variables x for y and y for x

x=\frac{1}{9}y+2

Isolate the variable y

x-2=\frac{1}{9}y

y=9(x-2)

y=9x-18

Let

f^{-1}(x)=y

f^{-1}(x)=9x-18 -------> inverse function

7 0
3 years ago
Read 2 more answers
Other questions:
  • Please help ty! I added extra points.
    14·1 answer
  • Write the following numbers in order from least to greatest.
    9·1 answer
  • The University of Arkansas recently reported that 43% of college students aged 18-24 would spend their spring break relaxing at
    7·1 answer
  • Grant is rolling a standard six-sided number die 8 times. How many outcomes are possible
    9·1 answer
  • Pls help me I need help ASAP and PLS SHOW YOUR WORK because I don’t understand this
    5·1 answer
  • Please help. im stuck on this one ​
    8·1 answer
  • 6+12x2-18 please answer
    9·1 answer
  • PLZ HELP WILL GIVE BRAINLIEST
    5·2 answers
  • Jack Wilson bought a tool chest and tools on the installment plan for a total cost $1600. He paid $200 down and the rest in mont
    13·1 answer
  • After paying 13 dollars for the pie, Sally has 104 dollars left. How much money did she have before buying the pie?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!