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
Tatiana [17]
4 years ago
7

The prior probabilities for events A1 and A2 are P(A1) = 0.20 and P(A2) = 0.50. It is also known that P(A1 ∩ A2) = 0. Suppose P(

B | A1) = 0.20 and P(B | A2) = 0.05. If needed, round your answers to three decimal digits. (a) Are A1 and A2 mutually exclusive?
Mathematics
1 answer:
Citrus2011 [14]4 years ago
3 0

The inclusion-exclusion principle says

P(A1 ∩ A2) = P(A1) + P(A2) - P(A1 ∪ A2)

We know the probability of intersection is 0, so

P(A1) + P(A2) = P(A1 ∪ A2)

which means A1 and A2 are indeed mutually exclusive.

You might be interested in
What is the solution to the equation √8x=√4+2x?
dolphi86 [110]

Answer:

0.3333333333333...........

7 0
4 years ago
Is this a function. ?
goldenfox [79]

Answer:

No

Step-by-step explanation:

4 0
3 years ago
Flip a coin three times. You will win $2 for each heads. What is the expected winning (expectation of your winning)
Romashka [77]

The three coins could land any these 8 ways:

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

P(3 heads) = 1 way out of 8  or 1/8

P(2 heads) = 3 ways out of 8 or 3/8

P(1 head) = 3 ways out of 8 or 3/8

P(0 heads) = 1 way out of 8 or 1/8

x=Winnings  P(x)  E(x)=x�P(x)

    $3      1/8      $.375

    $2      3/8      $.75

    $1      3/8      $.375

  -$10      1/8     -$1.25

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

Total expectation =   $ .25

7 0
3 years ago
In a survey of employees at a fast food​ restaurant, it was determined that 15 cooked​ food, 12 washed​ dishes, 21 operated the
andre [41]

This question is incomplete

Complete Question

In a survey of employees at a fast food​ restaurant, it was determined that 15 cooked​ food, 12 washed​ dishes, 21 operated the cash​ register, 7 cooked food and washed​ dishes, 6 cooked food and operated the cash​ register, 6washed dishes and operated the cash​ register, 4 did all three​ jobs, and 7 did none of these jobs

(a) Only cooked food?

(b) Only operate the cash register?

Answer:

(a) Only cooked food?

6

(b) Only operate the cash register?

13

Step-by-step explanation:

From the above question, we have the following information:

15 cooked​ food

12 washed​ dishes

21 operated the cash​ register

7 cooked food and washed​ dishes

6 cooked food and operated the cash​ register

6washed dishes and operated the cash​ register

4 did all three​ jobs

7 did none of these jobs

(a) Only cooked food?

This would be calculated as

Number of people that cooked food + Number of people that did all three jobs - Number of people that cooked food and washed​ dishes - Number of people that cooked food and operated the cash​

= 15 + 4 - 7 - 6

= 19 - 13

= 6

Therefore ,only 6 people cooked food

(b) Only operate the cash register?

This would be calculated as

Number of people that operated cash register + Number of people that did all three jobs - Number of people that cooked food and operated the cash​ register - Number of people that washed dishes and operated the cash​ register

= 21 + 4 - 6 - 6

= 25 - 12

= 13

Therefore, only 13 people operated cash register.

7 0
3 years ago
Hey how do you get from standard form to vertex form?
vlabodo [156]

Explanation:

Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.

Assume the quadratic equation to be \mathbf{ax^{2}+bx+c=0} where x is the variable.

Completing the square method is as follows:

  1. send the constant term to other side of equal                 \mathbf{ax^{2}+bx=-c}
  2. divide the whole equation be coefficient of \mathbf{x^{2}}, this will give     \mathbf{x^{2}+\frac{b}{a}x=- \frac{c}{a}}
  3. add \mathbf{(\frac{b}{2a})^{2}} to both side of equality                                   \mathbf{x^{2}+2\times\frac{b}{2a}x+\frac{b}{2a}^{2}=-\frac{c}{a}+\frac{b}{2a}^{2}}
  4. Make one fraction on the right side and compress the expression on the left side                                                                          \mathbf{(x+\frac{b}{2a})^{2}=\frac{b^{2}-4ac}{4a^{2}}}
  5. rearrange the terms will give the vertex form of standard quadratic equation                                                                 \mathbf{a(x+\frac{b}{2a})^{2}-\frac{b^{2}-4ac}{4a}=0}

Follow the above procedure will give the vertex form.

(NOTE : you must know that \mathbf{(x+a)^{2}=x^{2}+2ax+a^{2}}. Use this equation in transforming the equation from step 3 to step 4)

8 0
3 years ago
Other questions:
  • Find the sum or difference<br><br> 5+10= ?
    15·2 answers
  • What three consecutive integers equal 81
    10·2 answers
  • HELP! I had 80 points 6 answers and 3 thanks and for some reason now I have 25 points and 3 answers. WHY IS THIS HAPPENINGGGG
    8·2 answers
  • Jarred wants to buy a go-cart for $1,200. His part-time job pays him $160 a week. He has already saved $400. Which inequality re
    7·2 answers
  • ANSWER PLEASE I NEED HELP
    9·1 answer
  • the area of a small square is 25 square units what is the exact length in units of a single of a large square
    10·1 answer
  • What is the mean in statistics? HELP!
    8·2 answers
  • Could someone plz just answer this now?
    8·1 answer
  • Suppose y varies directly as x. If x = 24 when y = 8, find y when x = 33.
    14·1 answer
  • All you need is in the photo ​<br><br><br>please explain step by step
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!