10 meters wide with a surface area of 80 square meters.

Which graph shows a system with an infinite number of solutions?

kotegsom [21]

Graph A shows a single solution where the two lines cross paths. Graph B shows a case where there are no solutions as the lines will never touch. Graph C is the correct answer as it shows the two lines constantly intercepting each other, creating an infinite number of solutions.

3 0

2 years ago

Read 2 more answers

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

4 friends equally share half of a pizza how much of the whole pizza does each friend get

Sedbober [7]

1/2 / 4

The formula = keep, change, flip

Keep 1/2
Change the sign: / to ×
Flip 4 to 1/4

That equals 1/2 × 1/4 = 1/16

Answer = 1/16

Hope this helped☺☺

5 0

2 years ago

Read 2 more answers

If the equation y = 1/6(x + 12) were graphed in the xy-plane, which of the following statements would be true of the graphed lin

oksano4ka [1.4K]

The answer would be B it would be parallel to the graph of 12y = 2x + 3

3 0

3 years ago

WILL GIVE BRAINLIEST!

expeople1 [14]

Answer:

$Average\:Rate\:Change=-59.4$