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rusak2 [61]
3 years ago
8

Each day Donna and Mary toss a coin to see who buys the other person coffee ​($2.34 a​ cup). One tosses and the other calls the

outcome. If the person who calls the outcome is​ correct, the other buys the​ coffee; otherwise the caller pays. Assume that an honest coin is​ used, that Mary tosses the​ coin, and that Donna calls the outcome. Find​ Mary's expected payback. Is this a fair​ game?
Mathematics
1 answer:
netineya [11]3 years ago
7 0

Answer:

yes

Step-by-step explanation:

Each day Donna and Mary toss a coin to see who buys the other person coffee ​($2.34 a​ cup). One tosses and the other calls the outcome. If the person who calls the outcome is​ correct, the other buys the​ coffee; otherwise the caller pays. Assume that an honest coin is​ used, that Mary tosses the​ coin, and that Donna calls the outcome.

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Use a paragraph, flow chart, or two-column proof to prove the angle congruency. Given: ∠ CXY ≅ ∠ BXY
Llana [10]

Answer:

See explanation

Step-by-step explanation:

Consider triangles CAX and BAX. In these triangles,

  • \overline{AC}\cong \overline{AB} - given
  • \angle CAX\cong \angle BAX - given
  • \overline{AX}\cong \overline{AX} - reflexive property

By SAS postulate, \triangle CAX\cong \triangle BAX

Congruent triangles have conruent corresponding parts. So,

\overline{CX}\cong \overline{BX}

Consider triangles CXY and BXY. In these triangles,

  • \overline{CX}\cong \overline{BX} - proven
  • \angle CXY\cong \angle BXY - given
  • \overline{XY}\cong \overline{XY} - reflexive property

By SAS postulate, \triangle CXY\cong \triangle BXY

Congruent triangles have conruent corresponding parts. So,

\angle XCY\cong \angle XBY

5 0
3 years ago
A piece of string is 144 inches long. Isabel wants to cut it into 2 pieces so that one piece is five times as long as the other.
Alex Ar [27]

Answer:

  • 24 inches
  • 120 inches

Step-by-step explanation:

The lengths can be found by considering their ratio:

  short : long = 1 : 5

The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.

The lengths are ...

  1 : 5 = 24 in : 120 in

The pieces are 24 inches and 120 inches in length.

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Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...

  s +5s = 144

  s = 144/6 = 24

  5s = 5(24) = 120

The lengths are 24 inches and 120 inches.

5 0
2 years ago
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Answer:

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Step-by-step explanation:

3/4 was added to each side

4 0
3 years ago
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mash [69]

Answer:

13/20

Step-by-step explanation:

7 0
3 years ago
In​ 2006, the population of a country was 40.2 million people. From 2006 to 2050 comma the​ country's population is expected to
Hatshy [7]

You can figure the remaining percentage in 2050 and calculate using that, or you can figure the amount of population that will be lost and subtract that from the 2006 value.

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6 0
3 years ago
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