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3 years ago

Find the size of angle XYZ.Give your answer to 1 decimal place.Z13 cmxY4 cm

Mathematics

2 answers:

Rzqust [24]3 years ago

7 0

Answer:

solution,

 $tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9$ 

hope this helps ....

Good luck on your assignment...

Margarita [4]3 years ago

6 0

Answer:

13.6cm

EXPLANATION:USE Pythagoras Rule

13²+ 4²

169 + 16 = 189

FIND THE SQUARE ROOT OF 185

√185 = 13.6015

TO 1.dp

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Tresset [83]

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P(X \le 250 ) = 0.7564 [/tex] , $P(X < 250 ) = 0.7564$ ,

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Step-by-step explanation:

From the question we are told that

The value for $\alpha = 2.6$

The value for $\beta = 220$

Generally the Weibull distribution function is mathematically represented as

$F( x , \alpha , \beta ) = \left \{ 0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x < 0} \atop { 1- e^{-(\frac{x}{\beta } )^{\alpha } }}\ \ \ \ \ \ x \ge 0} \right$

Generally the probability that a specimen's lifetime is at most 250 is mathematically represented as

$P(X \le 250 ) = F(250, 2.7 , 220 )$

$P(X \le 250 )=1 - e^{- (\frac{250}{220} )^{2.7}}$

$P(X \le 250 ) = 1 - 0.2436$

$P(X \le 250 ) = 0.7564$

Generally the probability that a specimen's lifetime is less than 250

$P(X < 250 ) = F(250, 2.7 , 220 )$

[texP(X < 250 ) =1 - e^{- (\frac{250}{220} )^{2.7}}[/tex]

$P(X < 250 ) = 1 - 0.2436$

$P(X < 250 ) = 0.7564$

Generally the probability that a specimen's lifetime is more than 300

$P(X > 300 ) = 1- p(X \le 300 )$

$P(X > 300 ) = 1- F(300, 2.7 , 220 )$

[texP(X < 300) =1- [1 - e^{- (\frac{300}{220} )^{2.7}}][/tex]

$P(X < 300 ) = 0.09922$

Generally the probability that a specimen's lifetime is between 100 and 250 is

$P(100 < X < 250 ) = P(X < 250) - P(X < 100)$

=> $P(100 < X < 250 ) =F(250 , 2.7 , 220 ) - F(100 , 2.7 , 220 )$

=> $P(100 < X < 250 ) =(1 - e^{-(\frac{250}{220})^{2.7}}) - (1 - e^{-(\frac{100}{220})^{2.7}})$

=> $P(100 < X < 250 ) = (1 - 0.244 ) - (1- 0.888)$

=> $P(100 < X < 250 ) =0.644$

Generally the value such that exactly 50% of all specimens

$P(X > x) = 1-P(X < x) = 0.50$

=> $P(X > x) = 1- (1 - e^{- (\frac{x}{220}) ^{2.7}}) = 0.50$

=> $P(X> x ) = e^(- \frac{x}{20})^{2.7} = 0.50$

=> $P(X> x ) = (- \frac{x}{20})^{2.7} = ln0.50$

=> $P(X> x ) = \frac{x}{20} =[ -ln0.50 ] ^{frac{1}{2.7}}$

=> $x = 220[ -ln0.50 ] ^{frac{1}{2.7}}$

=> $x = 192.1$

8 0

4 years ago

Calculate the slope of the line on the graph

Tamiku [17]

Answer:

3.5 (meters per second)

Step-by-step explanation:

To calculate the slope, we need two points. Let's see if we can select two points from the graph.

From the graph, we can pick out two possible points.

At the beginning, (0,2.5) is a valid candidate.

And at the end, with (5,20). Thus, let's use the slope formula to calculate the slope.

The slope formula is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let (0,2.5) be x₁ and y₁ and let (5,20) be x₂ and y₂. Thus:

$m=\frac{20-2.5}{5-0}$

Simplify:

$m=\frac{17.5}{5}\\ m=3.5$

Thus, the slope is 3.5 meters per second.

Further notes:

And the entire equation will be:

$m=3.5s+2.5$

3 0

3 years ago

Find the size of angle XYZ.Give your answer to 1 decimal place.Z13 cmxY4 cm​

Find the size of angle XYZ.Give your answer to 1 decimal place.Z13 cmxY4 cm