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3 years ago

Find what equals to x and what equals to y

Mathematics

1 answer:

Nuetrik [128]3 years ago

3 0

Answer:

x=15√2 y=90 degrees.

Step-by-step explanation:

Thanks to the Pythagorean Theorem we know that with any right triangle, A^2+B^2=C^2. In this case we can use 15^2+15^2=sqrt of 450. The square root of 450 is 15 times the square root of 2. Thus x=15√2. Now we need to find y. All angles in a triangle add up to 180 so if we have 45+45+y=180 then y=90.

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Sonbull [250]

Answer:

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Step-by-step explanation:

Given the data in the question;

the cumulative distribution function F(x) = $1 - \frac{1}{(x + 1)^3}$ ; $x > \theta$

probability the person's reaction time will be between 0.9 and 1.1 seconds

P( 0.9 < x < 1.1 ) = P( x ≤ 1.1 ) - P( x ≤ 0.9 )

P( 0.9 < x < 1.1 ) = F(1.1) - F(0.9)

= [ $1 - \frac{1}{(x + 1)^3}$ ] - [ $1 - \frac{1}{(x + 1)^3}$ ]

we substitute

= [ $1 - \frac{1}{(1.1 + 1)^3}$ ] - [ $1 - \frac{1}{(0.9 + 1)^3}$ ]

= [ $1 - \frac{1}{(2.1)^3}$ ] - [ $1 - \frac{1}{(1.9)^3}$ ]

= [ $1 - \frac{1}{(9.261)}$ ] - [ $1 - \frac{1}{(6.859)}$ ]

= [ 1 - 0.1079796998 ] - [ 1 - 0.1457938 ]

= 0.8920203 - 0.8542062

= 0.0378

Therefore, the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378

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3 years ago

A sled is being pulled with a force of 120 N at an angle of 35o with the horizontal. How far is the sled pulled if 1100 J of wor

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Step-by-step explanation:

Given

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$W=120\cdot \cos 35\times s$

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$s=11.19\approx 11.2 m$

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