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3 years ago

Use the picture to solve for angle y

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

5 0

9514 1404 393

Answer:

y = 32°

Step-by-step explanation:

Angle y is one of two congruent base angles in the isosceles triangle BCD that has angle B as its third angle:

2y + 116° = 180° . . . . . . . sum of angles in a triangle

y + 58° = 90° . . . . . . . . divide by 2

y = 32° . . . . . . . . . . . . subtract 58°

_____

To those of you copying this answer: the question here asks for angle y. The other variables can be found from ...

x = 2y = 64° . . . . . . . the arc is twice the measure of the inscribed angle

z = ∠CBD = 116°

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Step-by-step explanation:

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Part a

We know that the distribution for X is given by: $X \sim Unif (a=10, b=45)$

The density function for this distirbution is given by:

$f(x) = \frac{1}{b-a}= \frac{1}{45-10}= \frac{1}{35} , 10 \leq X \leq 45$

So then the height of the uniform density curve would be given by:

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Part b

For this case we want to calculate the following probability:

$P(X\leq 20)$

And we can use the cumulative distribution function given by:

$F(X) =\frac{x-a}{b-a}=\frac{x-10}{35} , 10 \leq X \leq 45$

And we can calculate the probability like this:

$P(X \leq 20) = F(20) = \frac{20-10}{35}=0.286$

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