You roll a​ six-sided die. Find the probability of each of the following scenarios.(a) Rolling a
5 or a number greater than 3
​(b) Rolling a number less than
5 or an even number
​(c) Rolling a
6 or an odd number

Answers

Answer 1
Answer: (a) The set of numbers is {4, 5, 6}. The probability is therefore 3/6 = 1/2.
(b) The set of numbers is {1, 2, 3, 4, 6}. The probability is therefore 5/6.
(c) The set of numbers is {1, 3, 5, 6}. The probability is therefore 4/6 = 2/3.

Answer 2
Answer:

The probability of each of the following scenarios :

(a) Rolling a 5 or a number greater than 3  is 1/2

​(b) Rolling a number less than 5 or an even number is  5/6

​(c) Rolling a 6 or an odd number is 2/3

Further explanation

The probability of an event is defined as the possibility of an event occurring against sample space.

Let us tackle the problem.

If you roll the dice, there will be 6 possible results :

{ 1 , 2 , 3 , 4 , 5 , 6 } → sample space

(a) The favorable outcome from rolling a 5 or a number greater than 3  is :

{ 4 , 5 , 6 } , then the probability will be :

P(A) = (3)/(6)

\large {\boxed {P(A) = (1)/(2)} }

(b) The favorable outcome from rolling a number less than 5 or an even number is :

{ 1 , 2 , 3 , 4 , 6 } , then the probability will be :

\large {\boxed {P(B) = (5)/(6)} }

(c) The favorable outcome from rolling a 6 or an odd number is :

{ 1 , 3 , 5 , 6 } , then the probability will be :

P(C) = (4)/(6)

\large {\boxed {P(C) = (2)/(3)} }

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Answer details

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die


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Answers

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PLSSS help me solve this question

Answers

Answer:

(3,-5)

Step-by-step explanation:

The line y=-x is a positively sloped line that when reflected across changes all signs to their opposite counterpart. Positivee to negative, negative to positive.

What is the answer to 701km-523km445m

Answers


You convert it to meters first.
So you get 701000m and 523445mYou subtract the values and get this: 177555

So your answer is 177555

Hope this helps :)

Final answer:

The solution to 701km-523km445m, when you convert everything to meters, is 177,555 meters. The critical step here is ensuring all distances are in the same unit before performing subtraction.

Explanation:

To solve 701km-523km445m, we first need to convert all distances to the same unit. In this case, it is easier to convert everything to meters since that's the smallest unit given. We know from conversions that 1 kilometer (km) equals 1,000 meters (m). So, we have:

  • 701 km equals 701,000 m
  • 523 km equals 523,000 m

Now you have 701,000 m - 523,000 m - 445 m. That subtracts to:

177,555 meters as the final answer. Just remember always to convert all units to the same before doing your calculations!

Learn more about Distance Conversion here:

brainly.com/question/33232617

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How will adding the value 75 affect the mean and median of the data set 1, 5, 7, 9 , 9, 10? A.
The mean increases and the median stays the same.

B.
The median increases less than the mean increases.

C.
The mean and the median increase by the same amount.

D.
The median increases and the mean stays the same.

Answers

B.
The median increases less than the mean increases.

14 1/4 - 10 3/7 Reduce to lowest form....
step by step to see if my answer your answer

Answers

14 (1)/(4)= (14\cdot4+1)/(4)= (57)/(4)

10 (3)/(7)= (10\cdot7+3)/(3)= (73)/(7)

\hbox {So, you have now }  (57)/(4)-(73)/(7)=(57\cdot7)/(4\cdot7)-(73\cdot4)/(7\cdot4)= (399)/(28)-(292)/(28)=\boxed {(107)/(28) }=\boxed { 3(23)/(28) }
make them improper fractions:
14 1/4 would be 57/4
10 3/7 would be 73/7
Make them the same common denominator:
Times 57/4 by 7/7 =399/28
Times 73/7 by 4/4 =292/28
Now subtract them:
107/28 
Now Simplify:
107/28= (3*28+23)/28=3+23/28= 3 23/28
The Answer:
3 23/28

What is the simplified form of the expression? (b/7)^2

Answers

Answer:

The simplified form is \cfrac{b^2}{49}.

Step-by-step explanation:

The goal of the exercise is to apply exponent properties. On this case we need to distribute the exponent to each expression of the fraction, that is to the numerator and to the denominator, using the distribution exponent property.

\[\left( \cfrac{a}{b}\right)^n= \cfrac{a^n}{b^n}\]

In a general way we can always distribute exponents over multiplication or division.

Simplifying using exponent distribution property.

Applying the property to the exercise give us

\left(\cfrac{b}{7}\right)^2 =\cfrac{b^2}{7^2}

Lastly we know that 7^2 =49 so we get

\left(\cfrac{b}{7}\right)^2 =\cfrac{b^2}{49}

And that is the simplified form of the given expression.

(b/7)^2=(b/7)(b/7)=(b^2)/(49)