Which equation best describes the pattern in the table below?

Mathematics

1 answer:

cupoosta [38]3 years ago

7 0

Answer:

Step-by-step explanation:

The pattern in the table adds 1.50 for ever 15 minutes. That means per minute it adds $\frac{1.5}{15} =0.10$ or 10 cents. This means you multiply each minute by 0.10 to find the cost. This is the equation c = 0.10m.

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Evaluate the numerical expression. − 1 3 − (− 4 9 )

notka56 [123]

Two negatives make a positive so, -13 - (-49) equals -13 + 49, or 49-13, they are all the same thing, all equal to 36.

6 0

3 years ago

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

m_a_m_a [10]

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:

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