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PSYCHO15rus [73]
3 years ago
10

Find the value of z and the length of side RS.

Mathematics
1 answer:
Stells [14]3 years ago
6 0

<em>answer \\ z \: is \: equal \: to \: 12 \: units \\ side \: rs \: measures \: 9 \: units \: long \\ \: please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps</em>

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Solve by completing the square x^2-6x-4=0
Vesna [10]

Answer:

x = 3 ± \sqrt{13}

Step-by-step explanation:

x² - 6x - 4 = 0 ( add 4 to both sides )

x² - 6x = 4

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 3)x + 9 = 4 + 9

(x - 3)² = 13 ( take square root of both sides )

x - 3 = ± \sqrt{13} ( add 3 to both sides )

x = 3 ± \sqrt{13}

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Answer:

x = 140

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2 years ago
Translate each of the following research questions into appropriate H0 and Ha.
Mandarinka [93]

Answer:

a)

H_{0}: \mu = 62500\text{ dollars per year}\\H_A: \mu > 62500\text{ dollars per year}

b)

H_{0}: \mu = 2.6\text{ hours}\\H_A: \mu \neq 2.6\text{ hours}

Step-by-step explanation:

We have to build appropriate null and alternate hypothesis for the given scenarios.

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The market research wants to find whether the mean household income of mall shoppers is higher than that of the general population.

H_{0}: \mu = 62500\text{ dollars per year}\\H_A: \mu > 62500\text{ dollars per year}

We would use one-tail(right) test to perform this hypothesis.

b) Population mean, μ = 2.6 hours

The company want to know the average time to respond to trouble calls is different or not.

H_{0}: \mu = 2.6\text{ hours}\\H_A: \mu \neq 2.6\text{ hours}

We would use two-tail test to perform this hypothesis.

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