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2 years ago

Probability of rolling exactly 2 odd numbers when a 6 sided die is rolled three times

Mathematics

1 answer:

Dmitrij [34]2 years ago

3 0

Answer:

3/8

Step-by-step explanation:

Probability = Favorable Outcomes / Total Outcomes

There are 3 even numbers and e odd numbers.

P(Even Number) = 3/6 = 1/2

P(Odd Number) = 3/6 = 1/2

Probability it lands twice on an even number and once on an odd number = 1/2 * 1/2 * 1/2 = 1/8

What we must remember here is that the question does not say that the first 2 rolls are even and the 3rd roll is odd.

We must find the number of ways of getting Even, Odd Combinations which are 3!/2! = 3 (EEO, EOE, OEE)

The Required probability = 3 * 1/8 = 3/8

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Eric and Linda are paid 52.25 for they're work. Eric worked 3.5 hours, and Linda worked 2 hours. They split the money according

Ne4ueva [31]

Answer:

$33.25

Step-by-step explanation:

Taking Eric's hours as a ratio to the total hours :

3.5 : 3.5 + 2
3.5 : 5.5
3.5 x 2 = : 5.5 x 2
7 : 11

Multiply the ratio into the amount paid :

52.25 x 7/11
4.75 x 7
$33.25

Eric's share of the money is $33.25

4 0

2 years ago

Read 2 more answers

16x+14y=8 -63x-14y=133

artcher [175]

Answer:

(-3, 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define Systems

16x + 14y = 8

-63x - 14y = 133

Step 2: Solve for x

Elimination

Combine 2 equations: -47x = 141
Divide -47 on both sides: x = -3

Step 3: Solve for y

Define original equation: 16x + 14y = 8
Substitute in x: 16(-3) + 14y = 8
Evaluate multiplication: -48 + 14y = 8
Add 48 on both sides: 14y = 56
Divide 14 on both sides: y = 4

Step 4: Graph Systems

Check the solution set.

4 0

2 years ago

andres has 10 more goldfish than todd. Together,they have 50 goldfish.How many goldfish does each boy have?

Dmitry [639]

Let's go ahead and construct an equation to show this. Together, they have 50 goldfish. This can be represented as =50.

Since we don't know how many Todd has, we're going to make a variable. We'll name it T, for Todd.

What about Andres? How many does he have? 10 more than Todd. Well, if Todd's amount is T, and Andres has 10 more, we can express that as T+10.

Now, just put the two pieces together! T+10=50.

The next step is inverse operations. You want to find out how many T is, so you need to get rid of the 10. To take 10 away from something is doing what? Subtraction! Be warned, though; whatever you do to one side of the problem, you have to do to the other. 10-10 is 0, and 50-10 is 40. Since we took the 10 away and 50 is now 40, what you're left with is T=40.

Wait a second.. wasn't "T" Todd's amount? Yep! That means that Todd has 40 goldfish. And we already know that Andres has 10, so there's your answer!

3 0

3 years ago

Read 2 more answers

If you borrow $675 for 6 years at an interest rate of 10% how much interest will you pay

Artist 52 [7]

40.5 so 715.5 in all

8 0

3 years ago

Read 2 more answers

Solve the following system of equations.

vodomira [7]

Answer:

a = 6/5

b = 7/8

c = 1/5

Step-by-step explanation:

We want to make two of these equations be in terms of the same variable, so let's solve the first and third in terms of b.

5a-24b=-15 -> -3 + 24b/5 = a

48b+35c = 49 -> 49/35 - 48b/35 = 7/5 - 48b/35 = c

Now we can replace the a and c in the second equation and solve for b.

10a+45c=21

10(-3+24b/5)+45(7/5 - 48b/35) = 21

-30 + 48b + 63 - 432b/7 = 21 -> -12 = -96b/7 -> b=7/8

Now we can plug b back into the other two to solve for a and c. I will leave that to you unless you would like the steps there.

7 0

3 years ago