Which expression is equivalent to

Two dice are tossed together. What is the probability of getting an odd number on the second die and a total of five?

wolverine [178]

Probability = (number of ways to succeed) / (total possible outcomes) .

The total possible results of rolling two dice is

(6 on the first cube) x (6 on the second one) = 36 possibilities.

How many are successful ? I need you to clarify something first.
You said that the 'second die' shows an odd number. When a pair
of dice is rolled, the problem usually doesn't distinguish between them.
And in fact, you said that they're "tossed together" (like a spinach and
arugula salad ?) so I would understand that they would lose their identity
unless they were, say, painted different colors, and we wouldn't know
which one is the second one.

Oh well, I'll just work it both ways:

First way:
Two identical dice are tossed.
The total is 5 and ONE cube shows an odd number.

How can that happen ?

1 ... 4
4 ... 1
3 ... 2
2 ... 3

Four possibilities. Probability = 4/36 = 1/9 = 11.1% .

=======================================

Second way:
A black and a white cube are tossed together.
The total is 5 and the white cube shows an odd number.

How can that happen:

B ... W
4 .... 1
2 .... 3

Only two possibilities. Probability = 2/36 = 1/18 = 5.6% .

3 0

4 years ago

Evaluate<br> 10m + n2/4 when m = 5 and n = 4

posledela

Answer:

52 units

Step-by-step explanation:

1) 10m + n2/4

Substitute within the equation

2) 10(5) + (4)2/4
Simplify

3) 50 + (4 x 2/4) = 50 + (4 x 1/2) = 50 + 2 = 52 units

4 0

2 years ago

Read 2 more answers

Help please, i will love you forever

Natali [406]

Answer:

See Below

Step-by-step explanation:

I'm not going to do the homework for you, but I will complete three of the problems to help you understand the process.

We are converting between different units of measurement.

Here are the conversions to know:

12 inches = 1 foot

3 feet = 1 yard

1760 yard = 1 mile

5280 feet = 1 mile

#1

We need to convert 7 feet into inches.

7 feet * 12 inches per foot = 84 inches

Now we know:

84 inches = 7 feet

What's the difference is between 84 inches, and 18 inches?

84 inches - 18 inches = 66 inches

We need 66 more inches to get a length of 7 feet.

#2

We need to convert 2 miles into yards.

2 miles * 1760 yards per mile = 3520 yards.

Now we know:

3520 yards = 2 miles

What's the difference between 3520 yards and 2000 yards?

3520 yards - 2000 yards = 1520 yards

We need 1520 more yards to make 2 miles

#3

We need to convert 108 inches into feet.

108 inches / 12 inches per foot = 9 feet

Since there is no remainder,

9 feet = 108 inches.

Hopefully you can see what is going on here and do the rest yourself.

4 0

4 years ago

Last spring, the drama department at Manchester High School had 12 students audition for the musical. This spring, there were 15

tamaranim1 [39]

Answer:

25%

Step-by-step explanation:

The percent of increase can be calculated using following formula:

$\text{Percent Increase}=\dfrac{\text{Final Amount-Initial Amount}}{\text{Initial Amount}}\cdot 100\%.$

In your case,

Initial amount = 12 students;
Final amount = 15 students,

then

$\text{Percent Increase}=\dfrac{15-12}{12}\cdot 100\%=\dfrac{3}{12}\cdot 100\%=\dfrac{1}{4}\cdot 100\%=25\%.$

3 0

3 years ago

[PLEASE HELP BEEN ON THIS FOR HOURS :(] Betty mixed 1 1/2 gallons of yellow paint with 2 1/2 gallons of blue paint to make green

Ne4ueva [31]

Answer:

3 gallons of Yellow paint hope it helps :)

Step-by-step explanation:

7 0

4 years ago