<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bb%5E%7B6%7D%7D" id="TexFormula1" title="\sqrt{b^{6}}" alt="\sqrt{b^{6}}" align="absm

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oksano4ka [1.4K]

3 years ago

iddle" class="latex-formula"> What is the rational exponent form of this expression?

Mathematics

1 answer:

MissTica3 years ago

3 0

If you choose to fully simplify this expression, then the answer is b^3

If you just want to convert to rational exponent form, then the square root will be replaced with an exponent of 1/2. The rule is sqrt(x) = x^(1/2)

So,

sqrt(b^6) = (b^6)^(1/2)

which can be written as

$\sqrt{b^6} = \left(b^6\right)^{1/2}$

note how the exponents 6 and 1/2 multiply to 3, which is why the fully simplified version is b^3

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If 180°<θ<270°, and sin⁡θ=−3/4, what is the value of sin(−θ)?

Oxana [17]

Answer:

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Step-by-step explanation:

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180°<θ<270° and $sin(\theta)=-\frac{3}{4}$

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umka2103 [35]

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3 years ago

Complete parts (a) and (b) using the probability distribution below.

katen-ka-za [31]

Μ = (0×0.026) + (1×0.072) +(2×0.152) + (3×0.303) + (4×0.215) + (5×0.164) + (6×0.066)
μ = 0 + 0.072 + 0.304 + 0.909 + 0.86 + 0.82 + 0.396
μ = 3.361 ≈ 3.4

We need the value of ∑X² to work out the variance
∑X² = (0²×0.026) + (1²×0.072) + (2²×0.152) + (3²×0.303) + (4²×0.215) + (5²×0.164) + (6²×0.066)
∑X² = 0+0.072+0.608+2.727+3.44+4.1+2.376
∑X² = 13.323

Variance = ∑X² - μ²
Variance = 13.323 - (3.4)² = 1.763 ≈ 2

Standard Deviation = √Variance = √1.8 = 1.3416... ≈ 1.4

The correct answer related to the value of mean and standard deviation is the option D
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3 years ago

Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five event

mezya [45]

Answer:

The probability of Javier volunteers for less than three a month is 25%

Step-by-step explanation:

According to the questions,

The probability of Javier to attend exactly 5 events :-

P ( x = 5 ) = 25% = $\frac{1}{4}$