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
forsale [732]
3 years ago
6

Morgan is playing a board game that requires three standard dice to be thrown at one time. Each die has six sides, with one of t

he numbers 1 through 6 on each side. She has one throw of the dice left, and she needs a 17 to win the game. What is the probability that Morgan wins the game (order matters)?
Mathematics
1 answer:
kati45 [8]3 years ago
3 0

Question:

Morgan is playing a board game that requires three standard dice to be thrown at one time. Each die has six sides, with one of the numbers 1 through 6 on each side. She has one throw of the dice left, and she needs a 17 to win the game. What is the probability that Morgan wins the game (order matters)?

Answer:

1/72

Step-by-step explanation:

<em>Morgan can roll a 17 in 3 different ways. The first way is if the first die comes up 5, the second die comes up 6, and the third die comes up 6. The second way is if the first die comes up 6, the second die comes up 5, and the third die comes up 6. The third way is if the first die comes up 6, the second die comes up 6, and the third die comes up 5. For each way, the probability of it occurring is  1/6 x 1/6 x 1/6 = 1/216. Therefore, since there are 3 different ways to roll a 17, the probability that Morgan rolls a 17 and wins the game is  1/216 + 1/216 + 1/216 = 3/216 = 1/72</em>


<em>I had this same question on my test!</em>


<em>Hope this helped! Good Luck! ~LILZ</em>


You might be interested in
The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an al
Mama L [17]

Answer:

Explained below.

Step-by-step explanation:

The human resource department at a certain company wants to conduct a survey regarding worker morale. The department has an alphabetical list of all 4,502 employees at the company and wants to conduct a systematic sample of size 50.

Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.

(a)

A sample of size 50.

Then the value of <em>k</em> will be: k=\frac{4502}{50}=90.04\approx 50

Thus, the value of <em>k</em> is 90.

(b)

Label the employees from 1 to 4502.

And select every 90th employee.

So, the individuals who will be administered the survey are:

90th, 180th, 270th,...

7 0
3 years ago
The bawden family is shopping for a new television.They are making their decision based on brand and sizes.The family has 20 pos
nalin [4]
I think it’s 10that’s what I think
5 0
3 years ago
Read 2 more answers
Here are two offers for batteries.
trapecia [35]

OFFER A is cheaper.

Step-by-step explanation:

Given,

OFFER A

Pack of 5

£2.75

Pay for 3 packs get 1 free

And

OFFER A

Pack of 5

£2.75

Pay for 3 packs get 1 free

To find which offer is cheaper.

<u>For OFFER A</u>

For 4 Packets he needs to pay £2.75

He needs to buy 40 batteries.

He needs to buy 40÷(4×5) = 2 packets.

Total cost = £2.75 ×2 = £5.5

<u>For OFFER B</u>

For 4 Packets he needs to pay £2.52

He needs to buy 40 batteries.

He needs to buy 10 packets.

After discount he has to pay = £2.52 -(£2.52 ×\frac{1}{3}) = £1.68

Total cost = £1.68×10 = £16.8

Hence,

OFFER A is cheaper.

7 0
3 years ago
How do I solve this problem using the substitution method <br> x-3y=4<br> 4x-2y=26
Nastasia [14]
Top 1. Substitute 3y on both sides of the equation.
Bottom 2. Substitute 2y on both sides of the equation

3y and 2y cancel

Divide x by 4 and 26 by 4.

Is there die points on a graph or decimal?

I have not done this for years but there is many calculators that can show you step by step online. I recommend using these
5 0
3 years ago
Read 2 more answers
There is a lightning rod on top of a building. From a location 500 feet from the base of the building, the angle of elevation to
Kitty [74]
<h2>Hello!</h2>

The answer is:

The height of the  lightning rod is 27.4 feet.

<h2>Why?</h2>

To solve the problem, we need to use the given information about the two points of observation, since both are related (both finish and start at the same horizontal distance) we need to write to equations in order to establish a relationship.

So, writing the equations we have:

We know that the angle of elevation from the base of the buildings is 36°

Also, we know that from the same location, the angle of elevation to the top of the lightning rod is 38°.

Using the information we have:

To the top of the building:

tan(\alpha )=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}

To the top of the lightning rod:

tan(\alpha )=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}

Now, isolating we have:

tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\DistanceToTheTopOfTheBuilding=tan(36\°)*BuildingBase \\\\DistanceToTheTopOfTheBuilding=tan(36\°)*500feet=363.27feet

Also, we have that:

tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*BuildingBase\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*500feet=390.64feet

Therefore, if we want to calculate the height of the lightning rod, we need to do the following:

Let "x" the distance to the top of the building and "y" the distance to the top of the lightning rod, so:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet

Rounding to the nearest foot, we have:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet=27.4feet

Hence, the answer is:

The height of the lightning rod is 27.4 feet.

Have a nice day!

5 0
3 years ago
Other questions:
  • Solve: 3(2x - 5) = 6x - 15<br> A) 0 <br> B) 1 <br> C) 20 <br> D) infinitely many solutions
    13·2 answers
  • An expression is a numeric characteristic of a subject, sample, or population. True or False?
    15·1 answer
  • (-72)/(-6)<br> Awnser <br> Plz&amp;Thx
    11·2 answers
  • HELP I NEED TO COMPLEYE THSISJI toDay
    7·2 answers
  • What’s the value of x?<br> A. 27<br> B.12<br> C.25<br> D.14
    8·1 answer
  • The greatest common factor of two numbers is 4. The sum of the numbers is 76. What are the two numbers? A. 38 and 38 B. 12 and 6
    12·1 answer
  • PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
    12·1 answer
  • Cindy lost 28 pounds while on a diet. She now weighs 157 pounds. Write and solve an equation to find her initial weight
    11·2 answers
  • Please help serious answers only
    9·2 answers
  • Can someone tell me how to do this?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!