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Mathematics

1 answer:

12345 [234]2 years ago

7 0

Answer:

124.5°

Step-by-step explanation:

Let the smallest angle be x. Then, the sum of the angles is an arithmetic sequence with first term x, common difference 7, and 8 terms.

Using the sum of an arithmetic series formula,

$\frac{8}{2}(2x+(8-1)(7))=1080 \\ \\ 4(2x+49)=1080 \\ \\ 2x+49=270 \\ \\ 2x=221 \\ \\ x=110.5$

So, the third angle is 110.5+14=124.5

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Let V be the event that a computer contains a virus, and let W be the event that a computer contains a worm. Suppose P(V) = 0.17

ArbitrLikvidat [17]

Answer: 0.82

Step-by-step explanation:

The probability of the computer not containing neither a virus nor a worm is expressed as P( $V^{C}$ ∩ $W^{C}$ ) , where P( $V^{C}$ ) is the probability that the event V doesn't happen and P( $W^{C}$ ) is the probability that the event W doesn't happen.

P( $V^{C}$ )= 1-P(V) = 1-0.17 = 0.83

P( $W^{C}$ )=1-P(W) = 1-0.05 = 0.95

Since $V^{C}$ and $W^{C}$ aren't mutually exclusive events, then:

P( $V^{C}$ ∪ $W^{C}$ ) = P( $V^{C}$ ) + P( $W^{C}$ ) - P( $V^{C}$ ∩ $W^{C}$ )

Isolating the probability that interests us:

P( $V^{C}$ ∩ $W^{C}$ )= P( $V^{C}$ ) + P( $W^{C}$ ) - P( $V^{C}$ ∪ $W^{C}$ )

Where P( $V^{C}$ ∪ $W^{C}$ ) = 1 - 0.04 = 0.96

Finally:

P( $V^{C}$ ∩ $W^{C}$ ) = 0.83 + 0.95 - 0.96 = 0.82

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3 years ago

What is the Area of the parallelogram

ikadub [295]

Answer:

Step-by-step explanation:

The Distance between (-2, -5) and (-2, 6) is 11 and the distance between (-2, 5) and (3, 5) [the altitiude] is 5. 11 x 5 is 55 so therefore the area is 55 :)

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2 years ago

Read 2 more answers

Simplify:<br> -11√21-11√/21

alex41 [277]

Step-by-step explanation:

by using the radical and suds rule