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sergeinik [125]
3 years ago
9

A triangle has side lengths measuring 2x + 2 ft x + 3 ft, and

Mathematics
1 answer:
Marta_Voda [28]3 years ago
5 0

Answer:

3x+5 < n < x-1

Step-by-step explanation:

we know that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Applying the Triangle Inequality Theorem

1) (2x+2)+(x+3) > n

solve for n

3x+5> n

Rewrite

n

2) (x+3)+n> 2x+2

n> x-1

therefore

3x+5 < n < x-1

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strojnjashka [21]

Answer:

3÷2

Step-by-step explanation:

First let the required no. be 'x'.

By question,

(2÷3)+2x=3x-(5÷6)

or,(2+6x)÷3=(18x-5)÷6

or,2+6x=(18x-5)÷2

or,4+12x=18-5

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Two cards are drawn in succession from a standard 52-card deck.1. What is the probability that the first card is red and the sec
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Answer:

52 cards:

26 red and 26 black

P(R) = probability of picking a red card

P(B) = probability of picking a black card

P(R) = P(B) = ¹/₂

If with replacement:

P(R∩B) = (¹/₂)(¹/₂) = ¹/₄

If without replacement:

P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁

8 Balls:

3 red and 5 white

P(R) = probability of picking a red ball

P(W) = probability of picking a white ball

P(R) = ³/₈

P(W) = ⁵/₈

If with replacement:

P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)

= ¹⁵/₆₄ + ¹⁵/₆₄

= ³⁰/₆₄

= ¹⁵/₃₂

If without replacement:

P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)

= ¹⁵/₄₂ + ¹⁵/₄₂

= ³⁰/₄₂

= ⁵/₇

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Step-by-step explanation:

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Alexxandr [17]

Answer:

0.001953125

Step-by-step explanation:

Divide 34 by 512

34 ÷ 512 = 0.06640625

divide 0.06640625 by 34

0.06640625 ÷ 34 = 0.001953125

Check you work

34 × 0.001953125 = 0.06640625

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