Answer:
Step-by-step explanation:
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.
Height of male pilot = 74.2 inches
We have to find the percentile
X = 74.2
Corresponding Z score = 74.2-72.6 = 1.6
P(X<174.2) = P(Z<1.6) = 0.5-0.4452=0.0548=5.48%
i.e. only 5% are below him in height.
Thus the malepilot is in 5th percentile.
Answer: 36.6
Step-by-step explanation: 2x+1+3x-4=180
add 2 & 3 to get 5x
subtract 1 from 1 & 180
so u would have 5x-4=179
+4 to 179
then 5x=183
divide by 5
x=36.6
hope it helps
Answer:
2*(5x - 2) + 2*(3x+1) ; Perimeter = 62 centimeters
Step-by-step explanation:
2*(5x - 2) + 2*(3x+1) = 10x - 4 + 6x + 2
= 16x -2
If x = 4 , then Perimeter = 16*4 - 2 = 64 - 2 = 62 cm
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F ( x ) = 3 sim x + 3 cos x
f ` ( x ) = 3 cos x - 3 sin x
f `` ( x ) = - 3 sin x - 3 cos x = - 3 ( sin x + cos x )
The inflection points:
- 3 ( sin x + cos x ) = 0
sin x + cos x = 0
sin x = - cos x / : cos x
tan x = - 1
x 1 = 3π / 4
x 2 = 7π / 4
The function is concave up when f``(x) > 0
- 3( sin x+ cos x ) > 0
sin x + cos x < 0
tan x < - 1
f is concave up for:
x ∈ ( π/2, 3π/4 ) ∪ ( 3π/2, 7π/4)
f is concave down for:
x ∈ ( 0, π/2 ) ∪ ( 3π / 4, 3π/2 ) ∪ ( 7π / 4, 2 π ).
