3 years ago

Prove that 8^6 + 4^11 is divisible by 17

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

8 0

8^6 + 4^11 = 262144 + 4194304 = 4456448
4456448/17 = 262144 is the answer

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As a manager for an advertising company, you must plan a campaign designed to increase Twitter usage. A recent survey suggests t

kolbaska11 [484]

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

3 0

3 years ago

For which value of x is the figure a rhombus?

zysi [14]

Answer:

D. x = 7

Step-by-step explanation:

The labeled angles are the acute angles of a right triangle, so they are complementary. Their measures add up to 90 deg.

8x + 7 + 3x + 6 = 90

11x + 13 = 90

11x = 77

x = 7