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3 years ago

Which is the equation in slope-intercept form for the line that passes through (3, 7) and is perpendicular to 3x-5y=8

Mathematics

1 answer:

Natalija [7]3 years ago

5 0

Answer:

Step-by-step explanation:

Perpendicular lines have slopes which are the negative reciprocal of each other. To find the slope, convert 3x-5y=8 into y=mx+b form.

3x-5y=8

-5y = -3x +8

y = 3/5 x - 8/5

The slope is 3/5 so its perpendicular slope is -5/3. Write the equation of this line through the point (3,7) using point slope form. Then simplify into y=mx+b form.

$y-y_1=m(x-x_1)\\y-7 = -\frac{5}{3}(x-3)\\y-7=-\frac{5}{3}x + 5\\y = -\frac{5}{3}x+12$

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Answer:

Answer:

P(A) = 0.39

Step-by-step explanation:

We are given;

P(W|A) = 0.7

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We are told that 60% of the respondents said they voted for A. Thus;

P(A|W) = 60% = 0.6

Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).

Thus;

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Now, P(A^c) can be expressed as 1 - P(A)

Thus, we now have;

P(W) = [P(W|A) × P(A)] + [P(W∣A^c) × (1 - P(A)]

Plugging in the relevant values gives;

P(W) = 0.7P(A) + 0.3(1 - P(A))

P(W) = 0.7P(A) + 0.3 - 0.3P(A)

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Now,using Baye's theorem, we can find an expression for P(A|W)

Thus;

P(A|W) = [P(A ∩ W)]/P(W)

This can be further expressed as;

P(A|W) = [P(A) × P(W|A)]/P(W)

Plugging in relevant values, we have;

0.6 = 0.7P(A)/(0.3 + 0.4P(A))

Cross multiply to get;

0.6(0.3 + 0.4P(A)) = 0.7P(A)

0.18 + 0.24P(A) = 0.7P(A)

0.18 = 0.7P(A) - 0.24P(A)

0.46P(A) = 0.18

P(A) = 0.18/0.46

P(A) = 0.39

Step-by-step explanation:

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3 years ago

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3 years ago

Which of the following rational functions is graphed below?

Lady_Fox [76]

Answer:

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3 years ago

The probability that a randomly selected student is a girl is 0.52, and the probability that a student is a girl and in an art c

DaniilM [7]

Answer: The answer is 0.38

Step-by-step explanation:

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3 years ago

How do you solve 25x = (1/125)^(4x-5)

amm1812

Step-by-step explanation:

Step 1: 25*x-((1/125)^(4*x-5))=0

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step 3: 25x-(1/125)(4x-5)=0

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3 years ago

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