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4 years ago

Write: (8•10^-5)(5•10^-6) in scientific notation. Can someone help?

1 answer:

7 0

Yes; I can help. The answer is: 4 * 10⁻¹⁰ .
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Explanation:
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Given: "Write: "(8*10⁻⁵)(5*10⁻⁶)" in scientific notation.
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→ (8*10⁻⁵)(5*10⁻⁶) = 8 * 10⁻⁵ * 5 * 10⁻⁶
= 8 * 5 * 10⁻⁵ * 10⁻⁶
= 40 * 10⁽⁻⁵⁾⁺⁽⁻⁶⁾ ;
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Note the following property of exponents:
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→ xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;
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So, we have:
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→ 40 * 10⁽⁻⁵⁾⁺⁽⁻⁶⁾ = 40* 10⁻¹¹ ;
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= 4 * 10⁻¹⁰ .
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Step-by-step explanation:

From the question we are are told that

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The sample size is n = 30

The sample variance is $s^2 = 0.9$

The level of significance is $\alpha = 0.05$

The null hypothesis is $H_o : \ \sigma^2 = 1.9$

The alternative hypothesis is $H_a : \ \sigma^2 \ne 1.9$

Generally the test statistics is mathematically represented as

$X^2 = \frac{ (n- 1 ) * s^2 }{ \sigma^2 }$

=> $X^2 = \frac{ (30 - 1 ) * 0.9 }{1.9 }$

=> $X^2 = 13.74$

Generally from the degree of freedom is mathematically represented as

$df = n- 1$

=> $df = 30 - 1$

=> $df = 29$

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