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
Allushta [10]
3 years ago
9

Consider two events such that P(A)=3 / 5, P(B)=4 / 7, and P(A∩B)=12 / 35. Are events A and B independent events?

Mathematics
1 answer:
xxMikexx [17]3 years ago
5 0

Answer:

option D

Yes, they are independent because P(A)×P(B)=P(A∩B)

Step-by-step explanation:

Given in the question,

p(A) = 3/5

p(B) = 4/7

p(A∩B) = 12/35

If two events A and B are independent then,

<h3>P(A n B)= P(A).P(B)</h3>

12/35 = 3/5 . 4/7

12/35 = 12/35

Hence, events A and B independent events

You might be interested in
7. If -3 &lt; x &lt; 3, determine c and d for the inequality c &lt; 2x + 1 &lt; d
pogonyaev

Answer:

C= -5

D = 7

Step-by-step explanation:

- 3 < x < 3 \\    \\  - 6 < 2x < 6 \\  \\  - 6 + 1 < 2x + 1 < 6 + 1 \\  \\  - 5 < 2x + 1 < 7

6 0
2 years ago
Vertex A in quadrilateral ABCD lies at (-3, 2). If you rotate ABCD 180° clockwise about the origin, what will be the coordinates
natali 33 [55]

The rule for a rotation by 180° about the origin is (x,y) -->(−x,−y)

So A(-3, 2) to A'(3, -2)

Answer:

A'(3, -2)

4 0
3 years ago
Ben earns an annual income of $12,800 a year. The income tax he has to pay is 15%. What is the amount of income tax in dollars a
Alex17521 [72]
<h2>D</h2>

Find 15% of 12,800,

\frac{15}{100} ×\frac{12,800}{1}

= 1,920

8 0
2 years ago
3+12x5/(5+15) What’s the answer
r-ruslan [8.4K]

\bf 3+12\times \cfrac{5}{(5+15)}\implies 3+12\times \cfrac{5}{\underset{\uparrow }{20}}\implies 3+12\times \cfrac{1}{4}\implies 3+\cfrac{\stackrel{\downarrow }{12\times 1}}{4} \\\\\\ 3+\cfrac{12}{4}\implies 3+\stackrel{\downarrow }{3}\implies 9

3 0
3 years ago
Read 2 more answers
35=7x. please help me fasttt
AlladinOne [14]

Answer:

x=5

Step-by-step explanation:

35 divided by 7 is 5, so in that case, 7 times 5 is 35.

3 0
3 years ago
Other questions:
  • Working alone, Natalie can clean an attic in 9 hours. Lea can clean the same attic in 8 hours. How long would it take them if th
    10·1 answer
  • Why is the question below a statistical question? Check all that apply. How many different states have you visited? . Only one p
    7·2 answers
  • Graph the inequality: y​
    14·1 answer
  • . If the average of 5 numbers is 6 and their<br>product is 26, what is their sum?​
    5·1 answer
  • Use (&lt;, &gt;, =) to compare 2⁄3 and 3⁄4.
    12·1 answer
  • Mrs. Bea’s Baker offers a Saturday morning special where your entire meal is 15% off. How much will a $32.00 meal cost after the
    14·1 answer
  • 1 1/2 x 1/2 = ?<br> help ya girl out
    12·2 answers
  • Helpppppppp plsssssssssssssssssssssssssssss
    15·1 answer
  • Someone please help me with this
    7·2 answers
  • Please help, i’ll give brainliest!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!