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
Dvinal [7]
3 years ago
6

Donna and Kaia are playing a game involving two fair number cubes with faces labeled 1 through 6. If Donna tosses a sum of 8 on

her next turn, she wins the game. Otherwise the game continues.
What is the probability that Donna will win on her next turn?
Mathematics
1 answer:
Rainbow [258]3 years ago
5 0
To get a sum of eight the first die must be 2 or greater and the second die must be one specific value that makes the sum equal to 8 with respect to the first die.

So the probability of Donna winning on her next turn, rolling a sum of 8 is:

(5/6)(1/6)=5/36    
You might be interested in
The graph from the US Department of Agriculture shows the growth of farmers markets in the United States. What was the first yea
Helen [10]
The answer is C.) 2002
The graph shows that the previous years have been under that, the number of markets is shown on the y axis
3 0
3 years ago
Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.
gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

\frac{3^{n+4} - 3^n}{16}

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

\frac{3^{n+4} - 3^n}{16} becomes

\frac{3^n * 3^4 - 3^n}{16}

Factorize

\frac{3^n(3^4 - 1)}{16}

\frac{3^n(81 - 1)}{16}

\frac{3^n(80)}{16}

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

3 0
3 years ago
A used book store also started selling used CDs and videos. In the first week, the store sold 40 used CDs and videos, at 4.00 pe
masha68 [24]

Answer:

30 CDs and 10 Videos were sold.

Step-by-step explanation:

Given that a used book store also started selling used CDs and videos. In the first week, the store sold 40 used CDs and videos, at 4.00 per CD and 6.00 per video.

The sales for both CDs and videos totaled to 180.00.

Let CDs be x and Videos be y

Then we have x+y =3040

and 4x+6y = 180

Two simultaneous equations in two variables and can be solved by elimination method

multiply I equation by 4 and subtract from II.

2y = 20

y =10

x = 30

30 CDs and 10 Videos were sold.

4 0
3 years ago
Help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
postnew [5]

Answer?

What do you need help with? :)

5 0
2 years ago
How do you write the standard number 3,500 in scientific notation? A. 3.5 × 101 B. 3.5 × 105 C. 3.5 × 103 D. 3.5 × 104
Svet_ta [14]

Answer:

C 3.5*10^3

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • He sears tower in chicago is 1454 feet tall. calculate its height in meters.
    13·1 answer
  • Number 1 to 20 are placed in a bag without replacing the first number what is the probability that the first number drawn will b
    6·1 answer
  • Triangle ABC has vertices A(–2, –3), B(–5, –3), and C(–4, –2). The triangle is rotated 90° counterclockwise around the origin.
    9·2 answers
  • 2x(4+2)-(12/4) I need that asp
    8·1 answer
  • What are possible units for impulse? Check all that apply.
    13·1 answer
  • Which term can be added to the list so that greatest common factor of the three terms is 12h^3? 36h^3 12h^6. 6h^3. 12h^2. 30h^4.
    7·1 answer
  • Pls help need ASAP Use the number line given to choose the best answer for the question.
    10·1 answer
  • Choose the best definition for the term: factor (1 point)
    5·2 answers
  • What is y if c≠d? Please help!
    6·1 answer
  • Can someone help me find the solution to these equations by using substitution
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!