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
pav-90 [236]
2 years ago
15

Suppose Q and R are independent events. Find P(Q and R) if P(Q) = 0.27 and P(R) = 0.03.

Mathematics
2 answers:
Allushta [10]2 years ago
6 0

Answer:

Value of  P(Q \cap R) is, 0.0081

Step-by-step explanation:

For an independent events A and B is given by:

P(A \cap B) =P(A) \cdot P(B)

As per the statement:

Suppose Q and R are independent events.

P(Q) = 0.27 and P(R) = 0.03.

We have to find P(Q \cap R)

By definition we have;

P(Q \cap R) =P(Q) \cdot P(R)

Substitute the given values we have;

P(Q \cap R) =0.27 \cdot 0.03

⇒P(Q \cap R)=0.0081

therefore, the value of  P(Q \cap R) is, 0.0081

emmainna [20.7K]2 years ago
4 0
Your answer would be 0.0081!
You might be interested in
A,B,C,D what’s the correct answer
zzz [600]
Answer:

C. 16



Explanation:

You find 4/6 of 24

4/6 x 24 = 96

Then you divide 96 by 6

96/6 = 16

You can check your work by doing 16 x 6
7 0
3 years ago
Read 2 more answers
Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direc
vivado [14]
Consider the picture attached.

From right triangle trigonometry: 

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

thus α=12.62°, is the angle that the vector makes with the positive x-axis.

The angle made with the + y-axis is 12.62°+90°=102.62°.



The length of the vector v can be determined using the Pythagorean theorem:

|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8


Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8. 

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
</span>

Answer: 12.62°;  102.62°;  0.97 i + (- 0.22)j

6 0
3 years ago
Plz help and show ur work❤️
Sergio039 [100]

Answer:

20 x

Step-by-step explanation:

i hope that is it

3 0
3 years ago
Which measurement is the best estimate for the capacity of a bottle of nail polish?
Law Incorporation [45]
The best estimate for the capacity of a bottle of nail polish is A: 10 mL
4 0
3 years ago
The radius of a circle is 28 centimeters. What is the diameter?
MrMuchimi
Radius
is half of the circle
diameter
is the whole thing inside the circle
since it is a radius, and it is a half of the full circle, we need to double out that number, and multiply by 2.
so here, you said it is 28
take 28, and multiply by 2, if you do every thing correctly, you should get:
56
so then answer would be 56 centimeters.
Hope that this helps you!  =)

7 0
2 years ago
Other questions:
  • Which is another way to write 19x13 divided by 21
    12·2 answers
  • if there was 155,528 students 2years ago and 30,526 less on the new record how do i find the new subtraction equation on the new
    14·1 answer
  • HELP ASAP! 20 POINTS! 5 QUESTIONS!
    13·1 answer
  • You have $900 in a checking account. You pay a $60 cell phone bill each month using this account.
    14·1 answer
  • Please answer fast please
    15·1 answer
  • Plz solve this pic fast and correctly!!!
    14·1 answer
  • Which of the following is true? (1 point)
    11·1 answer
  • It’s due late tonight can some pls help me pass
    9·1 answer
  • Its eitheir a or c b and d dont check out what is it image down below
    6·2 answers
  • If c=8, what is the value of 4c+(4-3)
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!