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shepuryov [24]
3 years ago
10

Solve the equation 0.25 (8z - 4) = z + 8 - 2z

Mathematics
2 answers:
Andrew [12]3 years ago
4 0
Distribute
2z-1=z+8-2z
add like terms
2z-1=-z+8
add z to both sides
3z-1=8
add 1 to both sides
3z=9
divide both sides by 3
z=3
RSB [31]3 years ago
4 0
First you have to combine the like terms of z and 2z on the left side. Then you must distribute the 0.25 to 8z and -4. So then your equation should look like this: 
2z - 1 = 8 - 1z
So now you add 1z to both sides. The 1z on the right cancels out and now you have 3z - 1 = 8
Next you add 1 to both sides and it cancels out on the left: 3z = 9
Then you just divide by 3 on both sides to get the variable by itself. The 3 on the left cancels out and 9 divided by 3 equals 3! So z = 3
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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

<u>By using Bayes' theorem:</u>

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

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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

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7 0
4 years ago
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Answer:

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Step-by-step explanation:

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B. 9 < 10,   true  9 is less than 10

C. 10 > 9,   true 10 is greater than 9

D. 9 (is less than or equal to ) 10  true 9 is less than or equal to 10

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Answer:

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Step-by-step explanation:

7 0
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