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3 years ago

I reallyyy need this first partt helpp!

Mathematics

1 answer:

marysya [2.9K]3 years ago

6 0

Answer:

${ \bf{c(g) = 5g + 3}} \\ { \bf{c(6) = 5(6) + 3}} \\ { \boxed{ \tt{c(6) = 33}}}$

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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

Find the area of the polygon

Evgesh-ka [11]

Answer:

784m^2

Step-by-step explanation:

is a rectangle with sides of 40m and 20m, in the upper right corner a right triangle has been removed with the legs of: 40 - 32 = 8m and 20 - 16 = 4m, we find the area of the rectangle (b * h).

40 * 20 = 800m ^ 2, then we find the area of the right triangle

1/2 b * h: 1/2 8 * 4 = 16 m ^ 2.

we remove the area of the triangle from the rectangle and we have the area of the figure: 800 - 16 = 784m^2

3 0

2 years ago

Mai-Li has 5 1/8 yd of material her new shirt will take 2 3/4 yd how much material will she have left after the skirt is made.

AysviL [449]

The correct answer is C. 2 3/8 yd.

I hope that helped you! c:

5 0

3 years ago

Read 2 more answers

A major fishing company does its fishing in a local lake. The first year of the

Allisa [31]

The answer to your question is 7,600 fish

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3 years ago

masha68 [24]

Answer: Um It’s C?

Step-by-step explanation:

8 0

3 years ago

I reallyyy need this first partt helpp!​

I reallyyy need this first partt helpp!