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3 years ago

1 1/2×口=1 Pls help A.S.A.P

Mathematics

1 answer:

stealth61 [152]3 years ago

8 0

Answer:

2/3

Step-by-step explanation:

it is also 3/2 right so if I multify by 2/3 it is 6/6 which is 1

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Given P(A and B) 0.20, P(A) 0.49, and P(B) = 0.41 are events A and B independent or dependent? 1) Dependent 2) Independent

blsea [12.9K]

Answer: The correct option is (1) Dependent.

Step-by-step explanation: For two events, we are given the following values of the probabilities :

P(A ∩ B) = 0.20, P(A) = 0.49 and P(B) = 0.41.

We are to check whether the events A and B are independent or dependent.

We know that

the two events C and D are said to be independent if the probabilities of their intersection is equal to the product of their probabilities.

That is, P(C ∩ D) = P(C) × P(D).

For the given two events A and B, we have

$P(A)\times P(B)=0.49\times0.41=0.2009\neq P(A\cap B)=0.20\\\\\Rightarrow P(A\cap B)\neq P(A)\times P(B).$

Therefore, the probabilities of the intersection of two events A and B is NOT equal to the product of the probabilities of the two events.

Thus, the events A and B are NOT independent. They are dependent events.

Option (1) is CORRECT.

8 0

4 years ago

Which table represents a linear function?

posledela

Answer:

I am pretty sure the last one is correct

6 0

3 years ago

Find the probability of exactly 3 successes in 6 trials of a binomial experiment in which the probability of success if 50%. rou

stiv31 [10]

Answer:

The probability of exactly 3 successes in 6 trials of a binomial experiment in which the probability of success if 50%, is:

31.3% (Rounding to the nearest tenth)

Step-by-step explanation:

With the information provided, P = 0.5, n = 6 and k = 3, we can build the binomial distribution table, this way:

Binomial distribution (n=6, p=0.5)

f(x) F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0156 0.0156

1 0.0938 0.1094

2 0.2344 0.3438

3 0.3125 0.6563

4 0.2344 0.8906

5 0.0938 0.9844

6 0.0156 1.0000

Under the first column we have the probabilities of success of every value from 0 to 6, and under the second column we have the values for answering the question at least how much probability we have of any number of successes. Our question is exactly 3 successes in 6 trials and we see that value under the first column: 0.3125.

Therefore, the probability of exactly 3 successes in 6 trials of a binomial experiment in which the probability of success if 50%, is:

31.3% (Rounding to the nearest tenth)

Let's recall that the formula for calculating the probability of exact successes is:

P(k out of n) = (n!/k!(n-k)!) * (p∧k*(1-p)∧(n-k))

in our case p=0.5, n=6, k=3

(n!/k!(n-k)!) = 20 and (p∧k*(1-p)∧(n-k)) = 0.015625

20 * 0.015625 = 0.3125

5 0

3 years ago

Investing $10,000 in a saving account at 5% annual interest compounded semiannually will result in approximately how much money

zmey [24]

Answer:

156250

Step-by-step explanation:

10000(1+.5/2 )^2*10=156250

4 0

3 years ago

Name the relationship: altérnate interior, corresponding, or altérnate exterior.

Furkat [3]

The answer is A. Alternate exterior

5 0

3 years ago

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