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
alexgriva [62]
3 years ago
13

If A and B are independent events with P(A) = 0.5 and P(B) = 0.5, then P(A ∩ B) a. is 1.00. b. is 0.5. c. is 0.00. d. None of th

ese alternatives are correct.
Mathematics
1 answer:
erastova [34]3 years ago
3 0

Answer:

The answer is (d) "None of the these alternatives are correct"

Step-by-step explanation:

If two events A and B are independent, the probability of the intersection P(A\cap B) is defined as:

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

Therefore, in the exercise:

P(A\cap B)=P(A)\cdot P(B)=0.5\cdot 0.5\\P(A\cap B)=0.25

which give (d) "None of the these alternatives are correct"

You might be interested in
Rewrite this radicand as two factors, one of which is a perfect square.
seropon [69]

Answer:

2 \sqrt{15}

Step-by-step explanation:

1) rewrite 60 as it's prime factors.

\sqrt{2 \times 2 \times 3 \times } 5

2) group the smae prime factors into pairs.

\sqrt{(2 \times 2)}  \times 3 \times 5

3) Rewrite each pair in exponent form.

\sqrt{ {2}^{2} \times 3 \times 5 }

4) use this role:

\sqrt{ {x}^{2} }  = x

2 \sqrt{3 \times 5}

5) Simplify.

4 \sqrt{15}

So, therefor, the answer is option 1.

5 0
3 years ago
Read 2 more answers
For f(x)=13^x,find f(3/2)
tekilochka [14]

Answer:

  f(3/2) = 13√13 ≈ 46.872167

Step-by-step explanation:

Put 3/2 where x is and evaluate.

  f(3/2) = 13^(3/2) = 13^(1 +1/2) = 13√13

  f(3/2) ≈ 46.872167

5 0
3 years ago
Mr. D'Agostino decided he wanted to build a pool in his backyard this summer. He sketched a drawing that had a scale of 1 in. =
Travka [436]

Answer:

46080 ft²

Step-by-step explanation:

Given :

Scale :

1 in = 4 feets

Recall :

I foot =. 12 inches

Length of drawing = 4 feets

Length of drawing in inches = 4 * 12 = 48 inches

Width of drawing = 5 feets

Width of drawing in inches = 5 * 12 = 60 inches

Actual length of pool = 48 * 4 = 192 feets

Actual width of pool = 60 * 4 = 240 feets

The actual area of the pool :

Length * width

192 feets * 240 feets = 46080 ft²

5 0
3 years ago
Which statement describes the function y = axn when a = 1 and n is odd?
kiruha [24]

Answer:

The graph is symmetric about the origin.

The graph does not pass through the origin.

Step-by-step explanation:

We're given:

  • the function y=axn
  • a = 1
  • n is odd

Because a = 1, then the given function can be rewritten as y = n.

  • The graph opens down

The function y = n will produce a horizontal line. Any function in the form of y = a single number, such as 4 or 9.3 will produce a horizontal line.

  • The graph is symmetric about the origin.

This is true, given the graph is a horizontal line.

  • The graph does not pass through the origin.

This is also true. We're given that n is an odd number. The graph will only pass through the origin if n = 0, and 0 is even.

  • The graph has more than one x-intercept.

This would only be true when n = 0, and this isn't possible. So, no.

4 0
2 years ago
Read 2 more answers
Answer this Quickly Please 50 points !!!!!!!!!!!!!!!
ehidna [41]
Nsnananqnqnqnnqnqnqnqnkkkk
3 0
2 years ago
Other questions:
  • Which point is an x-intercept of the quadratic function<br> f(x) = (x – 8)(x + 9)?
    12·1 answer
  • The graph of y = ax 2 + bx + c is a parabola that opens up and has a vertex at
    11·1 answer
  • Please Help!<br><br> Find the exact value: csec 22pi/3
    7·1 answer
  • Do u know what 42 ÷____= 0.042 is I need help
    5·1 answer
  • Noaya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to re
    14·1 answer
  • Solve the equation using the distributive property and properties of equality. Negative 5 (a + 3) = negative 55 14 -8 8 -14
    10·1 answer
  • Is y^4 x equal to xy^4?​
    7·1 answer
  • A group consisting of 10 children an adult went to a movie theater children tickets cost 5 each and adults tickets cost 8 each a
    5·1 answer
  • What is 6,372.08 written in expanded form?
    13·1 answer
  • Which of the following shows the simplified function of csc x sin(pi/2 -x)?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!