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3 years ago

Which pair of vectors is orthogonal?

Mathematics

2 answers:

Rufina [12.5K]3 years ago

6 0

Answer:

Step-by-step explanation:

Edge 2021

murzikaleks [220]3 years ago

3 0

Answer:

⟨3, –5⟩ and ⟨6, –10⟩

Step-by-step explanation:

⟨3, –5⟩ cross ⟨6, –10⟩ = 0

⟨2, –3⟩ cross ⟨9, –6⟩ = 15

⟨–2, 3⟩ cross ⟨–6, –4⟩ = 26

⟨–5, 4⟩ cross ⟨–4, –2⟩ = 26

⟨3, –5⟩ and ⟨6, –10⟩

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4 years ago

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Answer:

The 98% confidence interval for the proportion of applicants that fail the test is (0.025, 0.067).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

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For this problem, we have that:

560 random tests conducted, 26 employees failed the test. This means that $n = 560, \pi = \frac{26}{560} = 0.046$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.33$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.046 - 2.33\sqrt{\frac{0.046*0.954}{560}} = 0.025$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.046 + 2.33\sqrt{\frac{0.046*0.954}{560}} = 0.067$

The 98% confidence interval for the proportion of applicants that fail the test is (0.025, 0.067).

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4 years ago

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3 years ago

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Answer:

Theresa's height is 60 inches

Step-by-step explanation:

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