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3 years ago

Which of the following is equivalent to (a1/2 * b1/3)1/2

1 answer:

8 0

We are given the expression:

(a^ (1/2) * b^(1/3)) ^ (1/2)

The first step would be to simplify the figures in the inner parenthesis,

= (a^0.5 * b^0.33)^0.5
= (a^(0.5*0.5) * b(0.33 * 0.5))
= (a^0.25 * b^0.167)

The final expression is a^(1/4) * b^(1/6)

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How do I find the answers

jasenka [17]

Answer:

3. They're adding by 5 so,

Step-by-step explanation:

6 0

4 years ago

The formula for the standard deviation of a sample is:

timofeeve [1]

Answer:

d. The variance is 9.56 and the standard deviation is 3.09.

Step-by-step explanation:

From the above question, we are given the following data set.

3, 7, 8, 8, 8, 9, 10, 10, 13, 14

a) Mean = 3 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 13 + 14/ 10

= 90/10

= 9

b) Variance

The formula for sample Variance = (Mean - x)²/ n - 1

Mean = 9

n = 10

Sample Variance =

(3 - 9)² + (7 - 9)² + (8 - 9)² + (8 - 9)² + (8 - 9)² + (9 - 9)² + (10 - 9)² + (10 - 9)² + (13 - 9)² + (14 - 9)² / 10 - 1

= 36 + 4 + 1 + 1 + 1 + 0 + 1 + 1 + 16 + 25/9

= 86/9

= 9.555555556

≈ Approximately 9.56

Variance = 9.56

Sample Standard deviation = √Sample Variance

= √9.56

= 3.0919249667

≈ Approximately 3.09

5 0

4 years ago

Which system is equivalent to 5y^2+6y^2=50

stepladder [879]

5y²+6y²=50⇒11y²=50⇒y²= $\frac{454}{100}$ ⇒y= $\sqrt{ \frac{454}{100} }$ ⇒y= $\frac{ \sqrt{454} }{10}$

3 0

3 years ago

What can you conclude about the relationship between government and big business before the Progressive Era began?

jenyasd209 [6]

Answer: it’s the second one

Step-by-step explanation:

7 0

3 years ago

10. A map uses the scale of Zof an inch to represent 3

galben [10]

Answer:

6.25 in

Step-by-step explanation:

Note. It should read 3/4 of an inch.

3/4 in = 3 miles
x in = 25 miles

Cross multiply and solve for x:

x = 25/3*3/4
x = 6.25 in

7 0

3 years ago