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PolarNik [594]
1 year ago
13

Find an equation for the perpendicular bisector of the line segment whose endpoints are (-7,8) and (-1,4).

Mathematics
1 answer:
Jlenok [28]1 year ago
5 0

Answer:

y = +3/2x + 12

Step-by-step explanation:

get slope

get midpoint

get b

1.

(-7,8) and (-1,4)

get slope

(y₂ - y₁) / (x₂ - x₁)

slope is -2/3

perpendicular slope is the negative reciprocal :

+3/2

y=mx + b

y=+3/2x + b

get midpoint :

(x₁ + x₂)/2, (y₁ + y₂)/2

(-4,6)

get b

y=mx + b

6=+3/2(-4) + b

6= -6+ b

b = 12

y = +3/2x + 12

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aalyn [17]

Answer:

(a) 0.09

(b) 0.06

(c) 0.0018

(d) 0.9118

(e) 0.03

Step-by-step explanation:

Let <em>A</em> = boards have solder defects and <em>B</em> = boards have surface defects.

The proportion of boards having solder defects is, P (A) = 0.06.

The proportion of boards having surface-finish defects is, P (B) = 0.03.

It is provided that the events A and B are independent, i.e.

P(A\cap B)=P(A)\times P(B)

(a)

Compute the probability that either a solder defect or a surface-finish defect or both are found as follows:

= P (A or B) + P (A and B)

=P(A)+P(B)-P(A\cap B)+P(A\cap B)\\=P(A)+P(B)\\=0.06+0.03\\=0.09

Thus, the probability that either a solder defect or a surface-finish defect or both are found is 0.09.

(b)

The probability that a solder defect is found is 0.06.

(c)

The probability that both defect are found is:

P(A\cap B)=P(A)\times P(B)\\=0.06\times0.03\\=0.0018

Thus, the probability that both defect are found is 0.0018.

(d)

The probability that none of the defect is found is:

P(A^{c}\cup B^{c})=1-P(A\cup B)\\=1-P(A)-P(B)+P(A\cap B)\\=1-P(A)-P(B)+[P(A)\times P(B)]\\=1-0.06-0.03+(0.06\times0.03)\\=0.9118

Thus, the probability that none of the defect is found is 0.9118.

(e)

The probability that the defect found is a surface finish is 0.03.

6 0
3 years ago
If you multiply the four-digit number abcd by 4, the order of digits will be reversed. That is, abcd x 4=dcba. The digits a, b,
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2 B C D x </span><span>4 = </span><span>D C B 2</span>
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3 years ago
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Answer:

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Step-by-step explanation:

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