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skad [1K]
3 years ago
13

The air force reports that the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a

standard deviation of 2.7 inches. Part A: A male pilot whose height is 74.2 inches is at what percentile? Mathematically explain your reasoning and justify your work. (5 points) Part B: Air force fighter jets can accommodate heights of soldiers between 70 inches and 78 inches without compromising safety. Anyone with a height outside that interval cannot fly the fighter jets. Describe what this interval looks like if displayed visually. What percent of male pilots are unable to fly according to this standard? Show your work and mathematically justify your reasoning. (5 points)
Mathematics
1 answer:
Anon25 [30]3 years ago
4 0

Answer:

Step-by-step explanation:

<em>Given that X -  the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a standard deviation of 2.7 inches.</em>

<em />

<em>Height of male pilot = 74.2 inches</em>

<em />

<em>We have to find the percentile</em>

<em />

<em>X = 74.2</em>

<em />

<em>Corresponding Z score = 74.2-72.6 = 1.6</em>

<em />

<em>P(X<174.2) = P(Z<1.6) = 0.5-0.4452=0.0548=5.48%</em>

<em />

<em>i.e. only 5% are below him in height.</em>

<em />

<em>Thus the malepilot is in 5th percentile.</em>

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(8, 4)

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2 years ago
Berechne jeweils die Höhe der Pyramiden!<br>a) V = 140 cm3<br>G = 28 cm2<br>h = ?​
kozerog [31]

Answer:

untere Tabelle gibt an, wie Oberfläche und Volumen der Pyramide berechnet werden. Grundsätzlich gilt:

Oberfläche = Grundfläche + Mantelfläche

Volumen = Grundfläche · Pyramidenhöhe : 3

Generell ist darauf zu achten, dass mit unterschiedlichen Höhenangaben gerechnet wird. Für die Berechnung der Oberfläche wird die Höhe der schrägliegenden Seitendreiecke benötigt (Grafik unten: ha; hb). Für die Berechnung des Volumens wird die Höhe der Pyramide benutzt (Grafik unten: h).

JSXGraph v0.95 Copyright (C) see http://jsxgraph.org

ha = 5.83 cm

h = 5.00 cm

a = 6.00 cm

b = 6.01 cm

hb = 5.83 cm

V = 60.10 cm³

Ap = 106.11 cm²

AM = 70.05 cm²

AG = 36.06 cm²

 –  o  +  ←  ↓  ↑  → 

rechteckige Grundflächequadratische GrundflächeOberfläche = Grundfläche + Mantelfläche

OP = AG + AMOP = a · b + a · ha + b · hbOP = a² + a · ha · 2 Volumen = Grundfläche · h : 3

VP = AG · h : 3

VP = a · b · h : 3VP = a² · h : 3

Step-by-step explanation:

#semogamembantu

5 0
3 years ago
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SSSSS [86.1K]
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hit the brainiest button!
3 0
3 years ago
Read 2 more answers
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