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2 years ago

What is the range of the following set? (-2,4), (0,3), (1,6), (-1,2)

Mathematics

1 answer:

Snowcat [4.5K]2 years ago

8 0

Answer:

d. (4,3,6,2)

Step-by-step explanation:

The list of second numbers of the ordered pairs is the range.

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The second number of the first pair is 4; the second number of the second pair is 3. The only 4-number answer choice containing these two numbers is (d). You don't even have to work the whole problem to make the proper choice.

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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

- 22 - 7v = - 3(8V + 4) Round to the nearest hundreth

Dmitriy789 [7]

Answer:

v = 0.58

Step-by-step explanation:

-22 - 7v = -3(8v + 4)

Expand -3(8v + 4)

3 * 8v - 3 * 4

Simplify -3 * 8v -3 * 4

= -24v - 12

-22 - 7v = -24v - 12

Add 22 to both sides

-7v = -24v +10

Add 24v to both sides

17v = 10

$\frac{17v}{17} =\frac{10}{17}$

$v =\frac{10}{17}$

$v=0.58$

5 0

2 years ago

Help me solve this problem

Aleks04 [339]

I believe 1/9=9, 2/9=18, 3/9=27, 4/9=36
Don't get mad if you get it wrong.

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2 years ago

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Contact [7]

Answer:

Step-by-step explanation:

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2 years ago

So what is a dilation and how will it effect the image and the preimage(i have 8th grade math).

Gennadij [26K]

Answer:

In geometry, a transformation is an operation that moves, ﬂips, or changes a shape to create a new shape. A dilation is a type of transformation that enlarges or reduces a ﬁgure (called the preimage) to create a new ﬁgure (called the image).

Step-by-step explanation:

6 0

3 years ago