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
Sati [7]
3 years ago
8

Your English teacher has decided to randomly assign poems for the class to read. The syllabus includes four poems by Shakespeare

, five poems by Coleridge, two poems by Tennyson, and two poems by Lord Byron. What is the probability that you will be assigned a poem by Shakespeare, and then a poem by Tennyson?
Mathematics
1 answer:
Tresset [83]3 years ago
6 0
The probability of event A and B to both occur is denoted as P(A ∩ B) = P(A) P(B|A). It is the probability that Event A occurs times the probability that Event B occurs, given that Event A has occurred.

So, to find the probability that you will be assigned a poem by Shakespeare and by Tennyson, let Event A = the event that a Shakespeare poem will be assigned to you; and let Event B = the event that the second poem that will be assigned to you will be by Tennyson.

At first, there are a total of 13 poems that would be randomly assigned in your class. There are 4 poems by Shakespeare, thus P(A) is 4/13.
After the first selection, there would be 13 poems left. Therefore, P(B|A) = 2/12
Based on the rule of multiplication,
P(A ∩ B) = P(A) P(B|A)P(A ∩ B) = 4/13 * 2/12
P(A ∩ B) = 8/156
P(A ∩ B) = 2/39

The probability that you will be assigned a poem by Shakespeare, then a poem by Tennyson is 2/39 or 5.13%.
You might be interested in
What is the slope of line a? <br><br>​
emmainna [20.7K]
<h3>Answer:  -1/4  (choice C)</h3>

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

Explanation:

Start at the point (0,1). This is the y intercept, which is where the graph crosses the y axis.

Then move down 1 and over to the right 4 spaces. We arrive at (4,0) which is the x intercept.

The process of "down 1, over to the right 4" can be thought of like this

rise/run = -1/4

rise = -1

run = 4

A rise of -1 indicates we go down 1 unit

The run of 4 means we move to the right 4 units

So that's why slope = rise/run = -1/4

-------------------------------------------------------

Here's another approach using the slope formula:

m = (y2-y1)/(x2-x1)

m = (0-1)/(4-0)

m = -1/4

I used the two points (0,1) and (4,0) as (x1,y1) and (x2,y2) respectively. This formula basically says "subtract the y coordinates, subtract the x coordinates in the same order, then divide the differences y over x".

-------------------------------------------------------

Side note: The line moving downhill, as we read from left to right, indicates a negative slope.

5 0
2 years ago
If Eli showed a 8.9% ROI on his $8000.00 investment, how much was his return on his investment
telo118 [61]
8.9% is equal to 0.089 because a percent is over a 100. So, you can just multiply the ROI by the investment to get:

0.089(8000) = 712

Your answer is: $712.
6 0
2 years ago
Read 2 more answers
Seven more than five times a number is 52. What is the number? <br> HURRY PLEASE!!!!!
avanturin [10]

Answer:

9

Step-by-step explanation:

9x5=45+7=52

3 0
3 years ago
Read 2 more answers
Write a expression that can be used to multiply 6x198
nydimaria [60]

In this problem, we are asked to give an expression that can be used to mentally multiply 6 and 198. In order not to go through the rigorous multiplication, we can estimate 198 to 200, that is 6 *200 equal to 1200. Since there is a 2*6 excess or 12 then we subtract: 1200 -12 equal to 1188.

8 0
3 years ago
An angle measures (2x + 11).
lidiya [134]
Vertical angles are always congruent, or of equal measure.
Vertical angle is equal to given angle. Answer is:(2x+11)
4 0
3 years ago
Other questions:
  • Given the system of equations, what is the solution? <br><br> x + 2y = 11 <br> x - 2y = -1
    14·1 answer
  • I attached a pic please help
    11·1 answer
  • Two times the sum of a number and 8 equals 4
    7·1 answer
  • What is the expanded form of 337,060 using exponents
    5·1 answer
  • Help me. Help me. Help me.
    15·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Cfrac%7B350m%7D%7B1s%7D" id="TexFormula1" title="\frac{350m}{1s}" alt="\frac{350m}{1s}" alig
    10·1 answer
  • Miss Lincoln has 15 girls and 10 boys in her homeroom if she randomly selects two students to attend the next meeting then what’
    6·1 answer
  • Please Answer This N o w
    13·1 answer
  • What are the features of the quadratic function f(×) =×2 +10×+21?​
    15·1 answer
  • What is the domain and range of this equation? Y= -1/4|x|+2
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!