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2 years ago

81^1/2 / 3^-1 = A. 9 B. 3 C.(81/3)^-1/2 D. 27

Mathematics

2 answers:

Vinvika [58]2 years ago

8 0

Answer:C

Step-by-step explanation:

81^½÷3^-1=√81÷(1/3)

=9÷3=3

OlgaM077 [116]2 years ago

8 0

The answer is D.

When something is set to a fraction of a power, it makes the base a square root. And since 81 is going to the power of 1/2 it is just squaring it. The square root of 81 is 9.

Next, anything to a negative power turns the base number into a fraction, so 3^-1 turns into 1/3^1 or 1/3.

Finally, you solve: 9/ 1/3. Fractions take the reciprocal of themselves when they are being divided so the equation is more like 9*3. And 9*3 is 27. So the answer is D, 27.

Hope this helps!

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Complete Question

The complete question is shown on the uploaded image

Answer:

1 ) The correct option B

2) The correct option is C

3) The correct option is C

4) The correct option is C

Step-by-step explanation:

From the question we are told that

The proportion that own a cell phone is $p = 0.90$

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Generally the appropriate distribution for X is mathematically represented as

$X \ is \ B( n , p )$

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Generally the number students that own a cell phone in a simple random sample of 15 students is mathematically represented as

$\mu = n * p$

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Generally the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is mathematically represented as

$\sigma = \sqrt{ n * p * q }$

Where q is mathematically evaluated as

$q = 1- p$

$q = 1- 0.90$

$q = 0.10$

$\sigma = \sqrt{ 15 * 0.90 * 0.10 }$

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Generally the probability that all students in a simple random sample of 15 students own a cell phone is mathematically represented as

$P(X = 15) = \left 15} \atop {}} \right.C_{15} * p^{15} * q^{15 - 15}$

$P(X = 15) = \left 15} \atop {}} \right.C_{15} * (0.90)^{15} * (0.10 )^{15 - 15}$

From the combination calculator is $\left 15} \atop {}} \right.C_{15} = 1$

$P(X = 15) = 1 * 0.205891 * 1$

$P(X = 15) = 0.206$

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