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irakobra [83]
3 years ago
6

A and b are positive integers and a–b = 3. Evaluate the following: 27^ (1/3 b)/9^ (1/2 a)

Mathematics
1 answer:
maxonik [38]3 years ago
5 0

Answer:

1/27

Step-by-step explanation:

27^(b/3)/9^(a/2) = (27^(1/3))^b/(9^(1/2))^a = (3^b)/(3^a) = 3^(b-a)

= 3^(-(a-b)) = 3^-3 = 1/3^3 = 1/27

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Is the underlined verb in the sentence transitive or intransitive?
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The graph shows the velocity f(t) of a runner during a certain time interval:
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Answer:

Option B

Step-by-step explanation:

  • (0,2)
  • (6,8)
  • (8,0)

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  • m=6/6=1

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2 years ago
Which of the following is equivalent to xy3z2 + y2z + xyz when it is completely factored?
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2 years ago
A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table b
amm1812

Answer:

Option A: P(Male or Type B) > P(Male | Type B)

Step-by-step explanation:

Total Female = 85 type A, 12 type B  ⇒ 97 Female.

Total Male = 65 type A, 38 type B   ⇒ 103 Male

Total type A = 65 + 85 = 150

Total type B = 12 + 38 = 50

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Then the probability would be:

P(Male | Type B) = \frac{number of male in B}{total number of male}

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P(Male or Type B) = \frac{total number of male + (total number of people in B - total number of male in B)}{total number of male}

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                              = \frac{103 + 12}{200}

                              = \frac{115}{200}

                              = 0.575

 Hence, P(Male or Type B) > P(Male | Type B)

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3 years ago
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