A/-8+15>23 isn't this weird to you guys too

1 answer:

4 0

Let's solve your inequality step-by-step.

a − 8 + 15 > 23

Step 1: Simplify both sides of the inequality.

−1/8a + 15 > 23

Step 2: Subtract 15 from both sides.

−1/8a + 15 − 15 > 23 − 15

−1/8a > 8

Step 3: Multiply both sides by 8/(-1).

(8/−1) * (−1/8a) > (8/−1) * (8)

a < −64

Therefore, the answer is a < -64! I hope this helped! :)

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A communications channel transmits the digits 0 and 1. However, due to static, the digit transmitted is incorrectly received wit

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Answer:

The probability that the message will be wrong when decoded is 0.05792

Step-by-step explanation:

Consider the provided information.

To reduce the chance or error, we transmit 00000 instead of 0 and 11111 instead of 1.

We have 5 bits, message will be corrupt if at least 3 bits are incorrect for the same block.

The digit transmitted is incorrectly received with probability p = 0.2

The probability of receiving a digit correctly is q = 1 - 0.2 = 0.8

We want the probability that the message will be wrong when decoded.

This can be written as:

$P(X\geq3) =P(X=3)+P(X=4)+P(X=5)\\P(X\geq3) =\frac{5!}{3!2!}(0.2)^3(0.8)^{2}+\frac{5!}{4!1!}(0.2)^4(0.8)^{1}+\frac{5!}{5!}(0.2)^5(0.8)^0\\P(X\geq3) =0.05792$