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noname [10]
3 years ago
7

The union of sets P = {1, 2, 3, 4, 5, 6} Q = {4, 5, 6, 7, 8, 9} is given by which of the following?

Mathematics
1 answer:
lys-0071 [83]3 years ago
3 0

Answer:

The first one, because the x values are not repeated in a data set.

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A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side an
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Answer:

Step-by-step explanation:

A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?

Given that:

Number of cards = 4

x = Black on both sides = 1

y = Red on both sides = 1

z = Black on one side, red on one side = 2

.i) If the side you see is black, what is the probability that the other side is black = b

Probability of black

P(x) = 1/4 ; p(b|x) = 1

P(y) = 1/4 ; p(y|x) =

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2 years ago
I need some help find the area of the shaded region and round to the nearest hundredth
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Answer:

The area of the shaded region is 21.45cm².

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what side lengths should be used to model a rectangle with an area of x^2+3x-10 square units? x-5 and x+2 x and x+3 x+3 and x-10
klemol [59]

Answer:

Answer: x-2 and x+5 side lengths should be used to model a rectangle.

Step-by-step explanation:

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Is there enough information shown on the triangles to say that the
Harlamova29_29 [7]

Answer: (D) No. The corresponding pairs of sides must also be marked  congruent to determine that the triangles are congruent.

==================================================

Explanation:

The arc markings tell us how the angles pair up, and which pairs are congruent. Eg: The double-arc angles are the same measure.

Despite knowing that all three pairs of angles are congruent, we don't have enough information to conclude the triangles are congruent overall. We can say they are similar triangles (due to the AA similarity theorem), but we can't say they are congruent or not. We would need to know if at least one pair of sides were congruent, so that we could prove the triangles congruent.

The list of congruent theorems is

  • SSS
  • ASA
  • AAS (or SAA)
  • SAS
  • HL
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Much of these involve an "S", to indicate "side" (more specifically "pair of sides). Both HL and LL involve sides as well. They are special theorems dealing with right triangles only.

------------

So in short, we don't have enough info. We would have to know information about the sides. This is why choice D is the answer.

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2 years ago
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