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
STALIN [3.7K]
3 years ago
5

Use the Venn diagram to calculate probabilities.

Mathematics
1 answer:
Rudiy273 years ago
8 0

<u>Corrected Question</u>

These are the given probabilities. The Venn diagram is also attached. are (A) P(A|C) = 2/3

(B) P(C|B) = 8/27

(C) P(A) = 31/59

(D) P(C) = 3/7

(E) P(B|A) = 13/27

Answer:

A and C

Step-by-step explanation:

P(A|C)=\dfrac{P(A\cap C)}{P(C)}= \dfrac{14/59}{21/59}=\dfrac{14}{21}=\dfrac{2}{3}

P(C|B) =\dfrac{P(C\cap B)}{P(B)}= \dfrac{11/59}{27/59}=\dfrac{11}{27}\neq \dfrac{8}{27}\\\\P(A) = \dfrac{31}{59}\\\\P(C) =\dfrac{21}{59}\neq \dfrac{3}{7}\\\\P(B|A)=\dfrac{P(B\cap A)}{P(A)}= \dfrac{13/59}{31/59}=\dfrac{13}{31}\neq\dfrac{13}{27}

From the above, only A and C are correct.

You might be interested in
Convert 0.129 into a percentage
Ksju [112]

Answer:

12.9%

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If you can answer 10, 11, and 12 for me that would be awesome. (12 multiply choice would be in the comments)
fenix001 [56]
10: 3
11: 2
and can’t see 12
5 0
3 years ago
If the mean I.Q. is 100 and the standard deviation of I.Q. scores is 15, then an I.Q. of 130 will have a z score (or standard sc
skad [1K]

Answer: I.Q. of 130 will have a z score (or standard score) of 2.

Step-by-step explanation:

Let X be a random variable that represents the  I.Q. score.

Formula for Z-score : Z=\dfrac{X-mean}{standard \ deviation}

As per given, mean I.Q. = 100 and the standard deviation =15

For X = 130,

Z=\dfrac{130-100}{15}=\dfrac{30}{15}=2

So, I.Q. of 130 will have a z score (or standard score) of 2.

7 0
3 years ago
Find the sum<br> 3+5+7+9…., n=14
natka813 [3]
24! If that is not correct please let me know
4 0
3 years ago
Read 2 more answers
Need help as soon as possible please
harkovskaia [24]

Answer:

D

Step-by-step explanation: D: 50

8 0
3 years ago
Other questions:
  • What is the largest number of identical sets that you can create by dividing the fish and plants evenly? Explain. 24 FISH 18 PLA
    9·2 answers
  • 2+2+1,000,000,000,000,000,000,000,000,000,000+54=
    13·1 answer
  • Ray's parents purchased their first home in the 1980s with a 30-year
    6·1 answer
  • Could someone plz help me with these questions?You will get 10 points!Thanks a lot !!!
    14·1 answer
  • PLS HELP 15 POINTS!! Which two points on the number line represent numbers that can be combined to make zero?
    10·2 answers
  • 0.05 is 1 tenth the value of
    12·1 answer
  • What is 6 multiplied by 7
    10·2 answers
  • Select the equation that has a = 112 as its solution.
    13·1 answer
  • A serving of ice cream contains 144 calories of fat that is 20% of the calories how many total calories are in a serving of ice
    6·1 answer
  • Please help.............
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!