3 years ago

Can anyone answer this problem in their head. No calculator or paper.

Mathematics

1 answer:

rodikova [14]3 years ago

7 0

7,393,420,225 is the answer tk the problem without using calculator.

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Given:
Sample proportion = 85% = 0.85.
Confidence level (CL) = 90%.
Confidence interval (CI) $\hat{p} \pm z^{*} \sqrt{ \frac{\hat{p}(1-\hat{p})}{n} } \\ where \\ n=sample\, size \\ z^{*}=1.645 \, at \, 90\% \, CL$

We want the confidence interval to be 5% or 0.05. Therefore
$0.85 - 1.645 \sqrt{ \frac{0.85(1-0.85)}{n} }=0.05 \\ 0.85 - \frac{0.5874}{ \sqrt{n} } =0.05 \\ \frac{0.5874}{ \sqrt{n} }=0.8 \\ \sqrt{n} = .7342 \\ n=0.54$

Because this number is less than 1, a default sample size of 30 (for the normal distribution) is recommended.

Answer: 30

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3 years ago

Please help and explain how to do this

Mnenie [13.5K]

Answer:

4√3

Step-by-step explanation:

The distance formula applies. It tells you ...

distance = √((x2 -x1)² +(y2 -y1)²)

Filling in the given values, you have ...

distance = √((-√32 -(-4√2))² +(2√3 -(-√12))²)

= √((-4√2+4√2)² +(2√3 +2√3)²)

= √(0 + (4√3)²)

distance = 4√3

___

We make use of the fact that ...

$a\sqrt{b}=\sqrt{a^2b}\\\\\sqrt{32}=\sqrt{16\cdot 2}=4\sqrt{2}\\\\2\sqrt{3}=\sqrt{2^2\cdot 3}=\sqrt{12}$

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Answer: x(2x²+5)

please give brainliest if it helped

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The price of an item yesterday was $120. Today, the price fell to $78

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if each board in a fence is 6 inches wide, how many boards will josee need to fence 4 sides of a playground that is 60ft wide by

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Cgjnhhhjjnnnnmff
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