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
lora16 [44]
2 years ago
13

Thirty students in the fifth grade class listed their hair and eye colors in the table below: Brown hair Blonde hair Total Green

eyes 9 6 15 Brown eyes 10 5 15 19 11 30 Are the events "brown hair" and "brown eyes" independent?
Mathematics
1 answer:
Mars2501 [29]2 years ago
8 0

Answer:

No, the events "brown hair" and "brown eyes" are not  independent.

Step-by-step explanation:

The table that represents the  hair and eye colors of thirty students of the fifth grade are given in table as:

                         Brown hair          Blonde hair              Total

Green eyes           9                       6                               15

Brown eyes          10                       5                              15

Total                     19                        11                             30

No, the events  "brown hair" and "brown eyes" are not independent.

Since, two events A and B are said to be independent if:

P(A∩B)=P(A)×P(B)

where P denotes the probability of an event.

Here we have:

A= students having brown hair.

B= students having brown eyes.

A∩B= students having both brown hair and brown eyes.

Now,

P(A)=19/30  (ratio of addition of first column to the total entries)

P(B)=15/30  ( ratio of addition of second row to the total entries)

Also,

P(A∩B)=10/30

Now as:

P(A∩B) ≠ P(A)×P(B)

Hence, the two events are not independent.

You might be interested in
8 + 69 + 9 <br> word form
love history [14]
Eight plus sixty-nine plus nine equals eighty-six. Is this what you were looking for.
8 0
2 years ago
A triangle has side lengths of 15 10 and 7 is it a right triangle
lions [1.4K]

Answer:

No, it is not a right triangle.

Step-by-step explanation:

Given:

The sides of the triangle =  15 10 and 7

To Find:

Whether the triangle is a right triangle = ?

Solution:

According to Pythagorean theorem , In an right triangle the the sum of the squares of the two smaller sides must equal to the square of the larger side

a^2 +b^2 =c^2\\

where

a and b are the smaller sides

c is the larger side

Now from the given data, lets assume

a = 10 and b =7 and c =15

Substituting in the above equation we get,

(10)^2 +(7)^2 = (15)^2

100 + 49 = 225

149 = 225

149 \neq 225

So, the given triangle is not a right triangle.

7 0
3 years ago
Using the distributive property, which of the following expressions is equivalent to 6(3 + 6y)?
labwork [276]
6*3 + 6y*6 = 18+36y The answer is D!
5 0
3 years ago
Read 2 more answers
Please solve and show your work
yaroslaw [1]

Answer:

791.28

Step-by-step explanation:

1. 3.14*9²=254.34

2. 3.14*9*19=536.94

3. 536.94+254.34=791.28

5 0
2 years ago
Read 2 more answers
Can someone guess what my picture says. My profile picture?
Olegator [25]
I see beauty in everything but me
4 0
2 years ago
Other questions:
  • I need help with math
    13·1 answer
  • What is the coefficient in front of x that is equal to the negative sign?<br><br> -x - 15 = 12
    13·1 answer
  • If you have a dresser that is 7 meters high, 2 meters wide, and 4
    7·1 answer
  • Write a fraction that is less than 5/6 and has a denominator of eight
    9·1 answer
  • What is the order pair for the orgin
    6·1 answer
  • Compare the outliers and interquartile ranges (IQRs) for the data sets. Which
    6·1 answer
  • Find the integral of 1/sqrt(x^2-9)
    8·1 answer
  • Explain how you can use the terms from the binomial expansion to approximate 0.985.
    7·1 answer
  • A rectangular garden has a length that is
    7·1 answer
  • Liz saved 15% on the jean's<br> she bought! What lowest<br> terms fraction is equal<br> to 15% ?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!