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kolezko
2 months ago
6

Un equipo de fútbol se conforma de cuatro líneas de jugadores: portero (9%), defensas (37%), medios (27%) y delanteros (27%), do

nde los goles anotados por el equipo en cada línea son: portero 1 gol, defensas 11 goles, medios 15 goles y delanteros 23. Supongamos que en un partido se gana por un gol. ¿Qué probabilidad hay de que este fuera anotado (a) por la defensa, (b) por los medios y (c) por los delanteros?
Mathematics
1 answer:
Svet_ta [12.7K]2 months ago
3 0

Answer:

From the data provided, the total goals can be calculated as 1+11+15+23 = 50; with 1 goal from the goalkeeper, 11 from defenders, 15 from midfielders, and 23 from strikers.

The probabilities can be determined using standard formulas

P=\frac{events}{total outcomes}

(a) Defense

P=\frac{11}{50} \approx 0.22

The defense's likelihood of scoring that goal is 22%.

(b) Midfielders

P=\frac{15}{50} \approx 0.30

Midfielders' probability of scoring that goal is 30%.

(c) Strikers.

P=\frac{23}{50} \approx 0.46

The chance of the goal being scored by strikers is 46%.

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Events A and B are termed independent when

Pr(A\cap B)=Pr(A)\cdot Pr(B),

if not, events A and B are classified as dependent.

The events A, B and A∩B are:

  • A - Jane plans to attend a ballgame on Monday;
  • B - Kate intends to go to a ballgame on Monday;
  • A∩B - Both Kate and Jane will be at the ballgame on Monday.

Pr(A)=0.73,\ Pr(B)=0.61,\ Pr(A\cap B)=0.52.\\ \\ Pr(A)\cdot Pr(B)=0.73\cdot 0.61=0.4453\neq 0.52=Pr(A\cap B).

Answer: events A and B are dependent


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2 months ago
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There is a sidewalk of width x around a rectangular garden. If the garden measures twenty-feet by thirty-feet, then the combined
PIT_PIT [12445]

Answer:

Area = 200 + 50 + x

Step-by-step explanation:

Given

Length = 20

Width = 30

Side Walk = x

Required

Find the total area.

To find this, we have to add the length of the sidewalk to the dimensions of the garden.

This results in:

Length = 20 + x.

Width = 30 + x

So, the area now becomes.

Area = (20 + x)(30 + x)

Area = 600 + 20x + 30x + x²

Area = 200 + 50 + x²

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Patty has a flower box in the shape of a rectangular prism with interior dimensions that are 15 inches in length, 8 inches in wi
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Respuesta:

Explicación paso a paso:

V=1/2lbh

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You are in an airplane 5.7 miles above the ground. What is the measure of BD⌢
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Result:

6.1°; 425.86 m.

Step-by-step breakdown:

The information provided states that the airplane is at an altitude of 5.7 miles above ground level, while the "radius of Earth is about 4000 miles." Thus,

θ = 2 × cos^-1 (a/ (a + b)), where a = 4000 miles, and b = 5.7 miles.

θ = 2 × cos^-1 (4000/ (4000 + 5.7)) = 6.1°.

To calculate the distance in meters:

Change in distance = 6.1° /360° × 2π × 4000 miles = 425.86 meters.

Consequently, BD⌢ measures at 6.1° and the distance corresponding to this section of Earth is 425.86 meters.

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