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Ray Of Light [21]
3 years ago
14

The heights of women aged 20 to 29 are approximately normal with mean 64 inches and standard deviation 2.7 inches. men the same

age have heights that are also approximately normal, with mean height 69.3 inches and standard deviation 2.8 inches. what is the z-score for a man 72 inches tall? round your answer to 3 decimal places.
Mathematics
1 answer:
Serjik [45]3 years ago
3 0
The number of standard deviations from the mean for a man 72 inches tall is
  Z = (72 -69.3)/2.8 ≈ 0.964
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Find the area of the following figure:
Alinara [238K]

Answer:

9 square inches is your answer. √9=3

6 0
3 years ago
dos aviones parten de una ciudad con direcciones S32°E y E57°N¿ cuál es el angulo que forma sus direcciones?​
Elan Coil [88]

Answer:

El ángulo formado entre las dos direcciones es aproximadamente 115º.

Step-by-step explanation:

Las direcciones dadas en el enunciado significan lo siguiente:

S32ºE - <em>32º al este del sur.</em>

E57ºN - <em>57º al norte del este.</em>

Vectorialmente hablando, cada dirección es la siguiente:

S32ºE

A(x,y) = (\sin 32^{\circ}, -\cos 32^{\circ})

A(x,y) = (0.530, -0.848)

E57ºN

B(x,y) = (\cos 57^{\circ},\sin 57^{\circ})

B(x,y) = (0.545, 0.839)

El ángulo formado entre los dos vectores unitarios (\theta), medido en grado sexagesimales, puede determinarse mediante la siguiente ecuación vectorial:

\theta = \cos^{-1} \frac{A\,\bullet \,B}{\|A\|\cdot \|B\|}

Donde:

\|A\| - Norma de A(x,y).

\|B\| - Norma de B(x,y).

Si sabemos que A(x,y) = (0.530, -0.848), B(x,y) = (0.545, 0.839), \|A\| = 1 y \|B\| = 1, entonces el ángulo formado entre los dos vectores es:

\theta = \cos^{-1} \frac{(0.530)\cdot (0.545)+(-0.848)\cdot (0.839)}{(1)\cdot (1)}

\theta \approx 115^{\circ}

El ángulo formado entre las dos direcciones es aproximadamente 115º.

4 0
3 years ago
9. Find the length of the arc shown in brown. Leave your answer in terms of 2 (1 point)
Nadusha1986 [10]

The length of the arc is 4π.

<u>Step-by-step explanation</u>:

Given,

  • Diameter = 24 ft
  • radius, r = diameter/2
  • r = 24/2 = 12 ft
  • central angle, ∅ = 60°

Arc length = ∅/360° (2πr)

⇒ 60°/360° (2π\times12)

⇒ 24π/6

⇒ 4π

∴ The length of the arc is 4π.

3 0
3 years ago
Madison is hiking a trail that is 1.6 miles long if she has already hiked 0.4 of the trail what distance dose she still need to
pentagon [3]
Total distance = 1.6 miles

Madison has already hiked 0.4 miles

Miles left = 1.6 - 0.4 = 1.2 miles left
3 0
3 years ago
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x + 10 and y = 4x
pentagon [3]

Answer:

There are 5 steps. The solution is (5/4,5)

Step-by-step explanation:

1. In the y+5x=x+10 equation, subtract 5x from both sides to get y=-4x+10.

2. Set y=-4x+10 and y=4x equal to each other to get -4x+10=4x

3. Add 4x to both sides, which leaves you with 10=8x

4.Divide both sides by 8 to get x=10/8 or 5/4 when you simplify

5. Plug 5/4 into the y=4x equation and multiply 5/4 by 4/1, which leaves you with 20/4, or 5.

So the solution to this problem is (5/4,5). If you graph these two equations, you will get the same solution.

5 0
3 years ago
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