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Wewaii [24]
3 years ago
15

Prove that the value of the expression:

Mathematics
1 answer:
katrin2010 [14]3 years ago
7 0

Answer:

Step-by-step explanation:

5^{2} - 1 = 25 - 1 = 24

24 is divisible by 3.

So, (125² +25²)*(5²- 1)   is also divisible by 3

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What is the simplified form of the following expression 7(3sqrt 2x) - 3(3sqrt 16x) - 3(3sqrt 8x)
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<u>Step-by-step explanation:</u>

7(3\sqrt{2x})-3(3\sqrt{16x})-3(3\sqrt{8x})\\\\=21\sqrt{2x}-9\sqrt{16x}-9\sqrt{8x}\\\\=21\sqrt{2x}-9\cdot 4\sqrt x-9\cdot 2\sqrt{2x}\\\\=21\sqrt{2x}-36\sqrt x-18\sqrt{2x}\\\\=(21-18)\sqrt{2x}-36\sqrt x\\\\=3\sqrt{2x}-36\sqrt x

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Use the given data to find the 95% confidence interval estimate of the population mean μ. Assume that the population has a norma
loris [4]

Answer: For 95% Confidence Interval:

Upper Limit = 110.2

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Step-by-step explanation:

Given that,

Mean(M) = 104

Standard Deviation(SD) = 10

Sample Size(n) = 10

Formula for calculating 95% Confidence Interval are as follows:

Standard error(SE) =\frac{SD}{\sqrt{n} }

                         = \frac{10}{\sqrt{10} }

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⇒ M ± Z_{0.95} × SE

= 104 ± (1.96)(3.164)

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∴ Upper Limit = 104 + 6.20 = 110.2

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So,

95% Confidence Interval = [97.8, 110.2]

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