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Alinara [238K]
3 years ago
8

What's the dot product of u = <-9, 4> and v = <1,3>? Thanks!

Mathematics
1 answer:
Leno4ka [110]3 years ago
8 0
\langle-9,4\rangle\cdot\langle1,3\rangle=(-9)(1)+(4)(3)=-9-12=-21
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Find the value of x <br> help
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An art history professor assigns letter grades on a test according to the following scheme. A: Top 13% of scores B: Scores below
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Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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Scores on the test are normally distributed with a mean of 79.7 and a standard deviation of 8.4.

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B: Scores below the top 13% and above the bottom 56%

So between the 56th percentile and the 100 - 13 = 87th percentile.

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X when Z has a p-value of 0.56, so X when Z = 0.15. Then

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X when Z has a p-value of 0.87, so X when Z = 1.13.

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X = 89

The numerical limits for a B grade are 81 and 89, that is, a score between 81 and 89 gets a B grade.

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2 years ago
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