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Bess [88]
3 years ago
7

How many square feet are in a room 4'-6'×3'-6"

Mathematics
1 answer:
Reil [10]3 years ago
8 0

Answer:

  15.75 ft²

Step-by-step explanation:

6" is 0.5 ft, so the dimensions in feet are 4.5 ft by 3.5 ft. The area is the product of these dimensions:

   A = (4.5 ft)(3.5 ft) = 15.75 ft²

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Lines C and D are represented by equations given below:
Vaselesa [24]
(1, 5), b/c both lines pass through this point - is the correct answer.
4 0
3 years ago
Simplify the expression -3(x+3)+4x
Korolek [52]

Answer:

x - 9

Step-by-step explanation:

In this case, "simplify" directs that you 1) carry out the indicated multiplication and 2) combine like terms.

-3(x+3)+4x = -3x - 9 + 4x = x - 9

8 0
3 years ago
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Two types of defects are observed in the production of integrated circuit boards. It is estimated that 6% of the boards have sol
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
4 years ago
Given x=5 + √16 , select the value(s) of x. -11 1 9 21
Schach [20]

Answer:

The answers would be 9 and 1.

Step-by-step explanation:

x= 5±√16 can be separated into two equations.

x=5+√16 and x=5-√16

1. 5+√16 can be solved by simplify √16, which is 4. So then it would become   5+4 which equals 9.

2. 5-√16 can be solved by simplifying √16 which is 4. So then it would become 5-4 which equals 1.

So the values of x are 9 and 1.

6 0
3 years ago
Read 2 more answers
Solve 3(x - 2) &lt; 18.
Inessa05 [86]

Answer:

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answer is a

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