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steposvetlana [31]
3 years ago
8

select all the correct answers which expressions are equal to 6^3.2^6/2^3 A. 2^3.3^3 B. 12^6 C. 2^6.3^3 D.6^3 E. 12^3​

Mathematics
1 answer:
aleksley [76]3 years ago
6 0

Answer:

  • C and E

Step-by-step explanation:

<u>Given expression: </u>

  • 6³×2⁶/2³

<u>Simplify:</u>

  • 6³×2⁶/2³ =
  • 6³×2⁶⁻³ =
  • 6³2³ =
  • (6×2)³ =
  • 12³

<u>The answer choices:</u>

  • A. 2³×3³ = 6³                 ⇒ Incorrect
  • B. 12⁶                             ⇒ Incorrect
  • C. 2⁶×3³ = 4³×3³ = 12³  ⇒ Correct
  • D.6³                               ⇒ Incorrect
  • E. 12³                             ⇒ Correct
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A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two yea
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Answer: (0.163,\ 0.189)

Step-by-step explanation:

The confidence interval for population proportion(p) is given by :-

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p} = Sample proportion.

n= Sample size.

z* = Critical value.

Let p = Proportion of adults in the U.S. who have donated blood in the past two years.

As per given , we have

n= 2322

Sample proportion of adults in the U.S. who have donated blood in the past two years. : \hat{p}=\dfrac{408}{2322}\approx0.1757

By z-table , the critical value for 90% confidence : z*= 1.645

Then, the 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years will be

0.1757\pm ( 1.645)\sqrt{\dfrac{0.1757(1-0.1757)}{2322}}

0.1757\pm ( 1.645)\sqrt{0.0000623727433247}

0.1757\pm ( 1.645)(0.00789764163056)

0.1757\pm 0.013

=(0.1757- 0.013,\ 0.1757+ 0.013)

=(0.1627,\ 0.1887)\approx(0.163,\ 0.189)

Hence, the 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years. = (0.163,\ 0.189)

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3 years ago
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