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Mathematics

1 answer:

mart [117]3 years ago

6 0

To find the scale factor divide the bigger measurement by the smaller one.

You did number 17. 42 / 3 = 14 so your scale factor is 14, option D.

For number 18, 48 / 6 = 8 so option A.

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tensor-on-tensor regression: riemannian optimization, over-parameterization, statistical-computational gap and their interplay

Contact [7]

The purpose of the tensor-on-tensor regression, which we examine, is to relate tensor responses to tensor covariates with a low Tucker rank parameter tensor/matrix without being aware of its intrinsic rank beforehand.

By examining the impact of rank over-parameterization, we suggest the Riemannian Gradient Descent (RGD) and Riemannian Gauss-Newton (RGN) methods to address the problem of unknown rank. By demonstrating that RGD and RGN, respectively, converge linearly and quadratically to a statistically optimal estimate in both rank correctly-parameterized and over-parameterized scenarios, we offer the first convergence guarantee for the generic tensor-on-tensor regression. According to our theory, Riemannian optimization techniques automatically adjust to over-parameterization without requiring implementation changes.

Learn more about tensor-on-tensor here

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7 0

2 years ago

Construct a 99% confidence interval for the population standard deviation of white blood cell count (in cells per microliter). A

kogti [31]

Answer:

The correct option is 1.148 < σ < 6.015

Explanation:

The 99% confidence interval for the standard deviation is given below:

$\sqrt{\frac{(n-1)s^{2}}{\chi^{2}_{\frac{0.01}{2} }} }$

Where:

$\chi^{2}_{\frac{0.01}{2} }=18.548$

$\chi^{2}_{1-\frac{0.01}{2}}=0.676$

Therefore, the 99% confidence interval is:

$\sqrt{\frac{(7-1)2.019^{2}}{18.548} }$

$1.148$

Therefore, the option 1.148 < σ < 6.015 is correct

3 0

3 years ago

Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After runni

allochka39001 [22]

After running for 18 minutes, Julissa completes 2 kilometers. If she is running a 10-kilometer race at a constant pace, then she comletes 1 kilometer after running 9 minutes. Now you can find the distance she run after 1 minute. This is $\dfrac{1}{9}$ km.