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andrew11 [14]
3 years ago
15

Find an equation of the line through (4,6) and parallel to y=3x+7

Mathematics
1 answer:
Alex3 years ago
3 0

Answer: y = 3x - 6

Step-by-step explanation: A line that is parallel to another line must have the same slope, so you already have y = 3x + b. To find b, use the point that they give. b is the y-intercept, so just subtract 3(x) from the y coordinate of the point, where x is the x-coordinate of the given point.

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Can someone find slope ?
Lana71 [14]
Negative. It’s the only one that makes since. ( probably)
3 0
3 years ago
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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

Hence, the probability that the message will be wrong when decoded is 0.05792

4 0
3 years ago
24. Find the area of the shaded region:
Monica [59]

Answer:

A = 5x³ + 17x² - 35x - 30

Step-by-step explanation:

the shaded area (A) is calculated as

A = outer area - inner area

   = (5x + 3)(x² + 4x - 10) - 3x(2x - 1) ← distribute parenthesis

   = 5x³ + 20x² - 50x + 3x² + 12x - 30 - (6x² - 3x)

  = 5x³ + 23x² - 38x - 30 - 6x² + 3x ← collect like terms

  = 5x³ + 17x² - 35x - 30

7 0
2 years ago
Read 2 more answers
Mary has 10/12 of ube cake she shared 7/12 to ana. what part of cake was left to mary?​
kow [346]

Answer:

3/12

Step-by-step explanation:

10-7 is 3, so its 3/12.

5 0
3 years ago
Which of the following mixed numbers has a value between 6 and 7?
ser-zykov [4K]
I feel like it’s B but I’m not sure
7 0
3 years ago
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