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Zepler [3.9K]
3 years ago
8

−5a – ( 6a + 3) + 8} plz help show step by step

Mathematics
1 answer:
Rom4ik [11]3 years ago
5 0

Answer:

11a+5

Step-by-step explanation:

-5a-6a-3+8

=11a+5

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Find the value of the combination.<br><br> 5C5<br><br> A:1<br> B:5<br> C:0
Olenka [21]

Answer:

A:1

Step by step explanations:

C(n,r)=C(5,5)

n=5

r=5

=n! / (r!(n-r)!)

=5! / (5!(5-5)!)

=1

6 0
3 years ago
Find the length of BC.
Murrr4er [49]

Answer:

C, 53.68 units

Step-by-step explanation:

tan 54° = \frac{x}{39}

39 tan 54° = x

x= 53.6788949 (just plug it in a scientific or graphing calculator)

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4 0
2 years ago
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
3 years ago
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