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2 years ago

4(k+1)=k+10,then 3k=A. 3/2B.5/2C. 2D. 6

Mathematics

1 answer:

nasty-shy [4]2 years ago

3 0

Solution:

Note that:

Given equation: 4(k + 1) = k + 10
To find: 3k

Simplifying the LHS:

4(k + 1) = k + 10
=> (4 x k) + (4 x 1) = k + 10
=> 4k + 4 = k + 10

Subtracting k and 4 both sides:

4k + 4 - k - 4 = k + 10 - k - 4
=> 3k = 6 (No further solution required)

The value of 3k is 6.

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You have two biased coins. Coin A comes up heads with probability 0.1. Coin B comes up heads with probability 0.6.However, you a

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Answer:

The probability that our guess is correct = 0.857.

Step-by-step explanation:

The given question is based on A Conditional Probability with Biased Coins.

Given data:

P(Head | A) = 0.1

P(Head | B) = 0.6

By using Bayes' theorem:

$P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$

We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.

Now,

P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)

By putting the value, we get

P(Head) = 0.5 × 0.1 + 0.5 × 0.6

P(Head) = 0.35

Now put this value in $P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$ , we get

$P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$

$P(B|Head) = 0.6 \times \frac{0.5}{0.35}$

$P(B|Head) = 0.857$

Similarly.

$P(A|Head) = 0.857$

Hence, the probability that our guess is correct = 0.857.

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3 years ago

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Ksju [112]

Answer:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

When a number is tripled,the results is -33

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Answer:

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Step-by-step explanation:

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2 years ago

4(k+1)=k+10,then 3k=A. 3/2B.5/2C. 2D. 6​

4(k+1)=k+10,then 3k=A. 3/2B.5/2C. 2D. 6