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3 years ago

Simplify ^3 V-27n^27

Mathematics

1 answer:

Sauron [17]3 years ago

8 0

Apply the radical rule to separate terms:

Cubicroot(-27) and cubic root(n^27)

Cubicroot(-27) = -3

Now you have -3 cubicroot(n^27)

Using the exponent rule

N^27 can be rewritten as (n^9)^3

Now you have -3 cubicroot((n^9)^3)

The cubic root and the 3rd power cancel out to get the final answer of

-3n^9

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3 years ago

The average systolic blood pressure was found to be 140 mm for people who have high responsibility jobs, specifically investment

9966 [12]

Answer:

Option B)

$H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}$

Step-by-step explanation:

We are given the following in the question:

Hypothesis:

The doctors and u=instructor claims that practicing yoga reduces blood pressure and hence is beneficial to people.

Population mean, μ = 140 mm

Sample mean, $\bar{x}$ = 139 mm

Sample size, n = 51

Sample standard deviation, s = 5 mm

Thus, we can design the null hypothesis and alternate hypothesis as

$H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}$

The null hypothesis states that the population have a blood pressure of 140 mm. The alternate hypothesis states that yoga reduces the blood pressure and the sample has a blood pressure less than 140 mm.

Thus, the correct answer is

Option B)

$H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}$

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3 years ago

Apply the rule (-x, y - 2) to the following point, what is the result?

BaLLatris [955]

Answer: Second Choice. (3, 3)

Step-by-step explanation:

Given point

(x, y) = (-3, 5)

Given the rule for application

(-x, y - 2)

Determine the new x-value

x = -3

-x = - (-3) = 3

Determine the new y-value

y = 5

y - 2 = (5) - 2 = 3

Therefore, the result is $\Large\boxed{(3,~3)}$

Hope this helps!! :)

Please let me know if you have any questions

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2 years ago

Read 2 more answers

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0.666• To get the answer you divided 4 by 6.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago