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miss Akunina [59]

2 years ago

9

A right triangle has side lengths 216 millimeters, 405 millimeters, and 459 millimeters. What are the lengths of the legs and wh

y?

1 answer:

Artemon [7]2 years ago

8 0

I put 25 for quiz question 1

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Alice searches for her term paper in her filing cabinet, which has several drawers. She knows thatshe left her term paper in dra

katen-ka-za [31]

You made a mistake with the probability $p_{j}$ , which should be $p_{i}$ in the last expression, so to be clear I will state the expression again.

So we want to solve the following:

Conditioned on this event, show that the probability that her paper is in drawer $j$ , is given by:

(1) $\frac{p_{j} }{1-d_{i}p_{i} } , if j \neq i,$ and

(2) $\frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i} } , if j = i.$

so we can say:

$A$ is the event that you search drawer $i$ and find nothing,

$B$ is the event that you search drawer $i$ and find the paper,

$C_{k}$ is the event that the paper is in drawer $k, k = 1, ..., n.$

this gives us:

$P(B) = P(B \cap C_{i} ) = P(C_{i})P(B | C_{i} ) = d_{i} p_{i}$

$P(A) = 1 - P(B) = 1 - d_{i} p_{i}$

Solution to Part (1):

if $j \neq i$ , then $P(A \cap C_{j} ) = P(C_{j} )$ ,

this means that

$P(C_{j} |A) = \frac{P(A \cap C_{j})}{P(A)} = \frac{P(C_{j} )}{P(A)} = \frac{p_{j} }{1-d_{i}p_{i} }$

as needed so part one is solved.

Solution to Part(2):

so we have now that if $j$ = $i$ , we get that:

$P(C_{j}|A ) = \frac{P(A \cap C_{j})}{P(A)}$

remember that:

$P(A|C_{j} ) = \frac{P(A \cap C_{j})}{P(C_{j})}$

this implies that:

$P(A \cap C_{j}) = P(C_{j}) \cdot P(A|C_{j}) = p_{i} (1-d_{i} )$

so we just need to combine the above relations to get:

$P(C_{j}|A) = \frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i} }$

as needed so part two is solved.

8 0

3 years ago

What is this 4x + 6 = 10

hram777 [196]

Answer:

x=1

Step-by-step explanation:

4x+6=10

4x+10-6

4x=4

x=1

8 0

3 years ago

Read 2 more answers

Three more than a number is<br> sixty.<br> (Write the equation

Paha777 [63]

Answer:

x + 3 = 60

Step-by-step explanation:

Let the number be x

x + 3 = 60

Hope it helps :)

Please mark my answer as the brainliest

7 0

3 years ago

What is the volume of a cone with a height of 9.5 inches and a radius of 8 inches? Cone V = 1 3 Bh 1. Rewrite the formula for th

Nesterboy [21]

Answer:

636.4 in³

Step-by-step explanation:

Volume of a cone is given by:

$V = \frac{1}{3}\pi r^2 h$

where r is the radius of the base of the cone and h is its height.

It is given that, the radius of the base of the cone is, r = 8 in

The height of the cone is, h = 9.5

$\Rightarrow V = \frac{1}{3} \times 3.14 \times (8)^2 (9.5) = 636.4 in^3$

Thus, the volume of the cone is 636.4 in³

6 0

3 years ago

Read 2 more answers

Which term best describes the geometric figure?

o-na [289]

Answer:Line Point Ray Segment

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers