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KonstantinChe [14]
3 years ago
13

NEED HELP ASAP SOMEONE PLEASE!!!!

Mathematics
1 answer:
Alisiya [41]3 years ago
3 0

Answer: The state with the second lowest population has the lowest population density.

Step-by-step explanation:

Since, Density = Population / Area

The population of state A = 1,055,173

Its area = 2677 square km

Thus, the density of state A = \frac{1055173}{2677} = 394.162495,

The population of state B = 1,333,089

Its area = 36,418 square km

Thus, the density of state B = \frac{1,333,089}{36,418} = 36.6052227,

The population of state C = 3,596,677

Its area = 5543 square km

Thus, the density of state C = \frac{3,596,677}{5543} = 648.868302,

The population of state D =6,745,408

Its area = 10555 square km

Thus, the density of state D = \frac{6,745,408}{10555} = 639.072288,

Since, by the above explanation,

The state in increasing order of the populations,

State A < State B < State C < State D,

Also, the state in increasing order of density,

State B < State A < State D < State C

⇒ Second option is correct.

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Alona [7]

Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

  • 28 students in the Spanish class,
  • 26 in the French class,
  • 16 in the German class,
  • 12 students that are in both Spanish and French,
  • 4 that are in both Spanish and German,
  • 6 that are in both French and German,
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So,

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  • 6 - 2 = 4 students are in French and German, bu are not in Spanish,
  • 4 - 2 = 2 students are in Spanish and German, but are not in French,
  • 12 - 2 = 10 students are in Spanish and French but are not in German,
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  • 26 - 2 - 4 - 10 = 10 students are only in French,
  • 28 - 2 - 2 - 10 = 14 students are only in Spanish.

In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

\dfrac{50}{100} =0.5

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C. If 2 students are chosen randomly,  the probability that both are not taking any language classes is

0.5\cdot 0.5=0.25

So,  the probability that at least 1 is taking a language class is

1-0.25=0.75

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In parallelogram HIJK, the measure of angle H is 45 degrees. 1.Find the measure of J and explain how you know
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Step-by-step explanation:

A parallelogram is a polygon with 4 sides and 4 angles (that is a quadrilateral).

For a parallelogram ABCD, Opposite sides and opposite angles are equal (i.e. BC = AD and ∠A = ∠C).

Consecutive angles are supplementary that is ∠A + ∠B = 180°.

The diagonals of a parallelogram bisect each other also separating the parallelogram into two congruent triangles.

In parallelogram HIJK, ∠H and ∠J are opposite angles. hence:

∠H = ∠J (opposite angles of a parallelogram are equal)

∠J = 45°

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