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3 years ago

7

1-sin^2x / sin^2x + cos^2x

1 answer:

Hunter-Best [27]3 years ago

5 0

Answer:

Solution answer is $cos^2x$

Step-by-step explanation:

$1-sin^2x = cos^2x$

$sin^2x + cos^2x = 1$

then

$1-sin^2x / sin^2x + cos^2x = cos^2x / 1$

So

Solution answer is $cos^2x$

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The interarrival time of nuclear particles in a Monte Carlo simulation of a reaction is designed to have a uniform distribution

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Answer:

Incomplete question, but you can use the formulas given to solve it.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

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The probability of finding a value between c and d is:

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The probability of finding a value above x is:

$P(X > x) = \frac{b - x}{b - a}$

Uniform distribution over an interval from 0 to 0.5 milliseconds

This means that $a = 0, b = 0.5$

Determine the probability that the interarrival time between two particles will be:

Considering $a = 0, b = 0.5$ , and the question asked, you choose one of the three formulas above.

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3 years ago

The floor of an elevator in a building is 30.33 feet above ground level. It then travels down to the lower level of the building

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3 years ago

WILL GIVE BRAINLIEST IF CORRECT!!

vfiekz [6]

Answer:

$\displaystyle y=-0.927x+13.63$

Step-by-step explanation:

<u>Simple Linear Regression </u>

It a function that represents the relationship between two or more variables in a given data set. It uses the method of the least-squares regression line which minimizes the error between the estimate function and the real data.

Let's compute the best-fit line for the data

$x=\{1,5,6,12,15\}$

$y=\{14,11,4,2,1\}$

First, we find the sums

$\displaystyle \sum x=1+5+6+12+15=39$

$\displaystyle \sum y=14+11+4+2+1=32$

Then, we compute the averages values

$\displaystyle \bar{x}=\frac{39}{5}=7.8$

$\displaystyle \bar{y}=\frac{32}{5}=6.4$

We will also compute the sums of the cross-products and the sum of the squares

$\displaystyle \sum xy=(1)(14)+(5)(11)+(6)(4)+(12)(2)+(15)(1)=137$

$\displaystyle \sum x^2=1^2+5^2+6^2+12^2+15^2=1+25+36+144+225$

$\displaystyle \sum x^2=431$

We will compute Sxy and Sxx

$\displaystyle S_{xy}=\sum xy-\frac{\sum x\ \sum y}{n}$

$\displaystyle S_{xy}=137-\frac{(39)(32)}{5}$

$\displaystyle S_{xy}=-117.6$

$\displaystyle S_{xx}=\sum x^2-\frac{(\sum x)^2}{n}$

$\displaystyle S_{xx}=431-\frac{39}{5}^2=126.8$

The slope of the linear regression function is given by

$\displaystyle m=\frac{S_{xy}}{S_{xx}}=\frac{-117.6}{126.8}=-0.927$

The y-intercept ot the linear function is

$\displaystyle b=\bar{y}-b\bar{x}=6.4-(-0.927)(7.8)$

$\displaystyle b=13.63$

Thus the best-fit line is

$\displaystyle y=-0.927x+13.63$

The correct option is the last one

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3 years ago