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>
Answer:
v=3
u=6
x=2√2
y=2√2
Step-by-step explanation:
First triangle :
tanΦ=v/3√3
tan30=v/3√3
(√3)/3=v/(3√3)
Cross multiply
(√3)/3 x 3√3=v
(√3 x 3√3)/3=v
(3√9)/3=v
(3x3)/3=v
9/3=v
3=v
v=3
Sin30=v/u
0.5=3/u
Cross multiply
0.5xu=3
0.5u=3
Divide both sides by 0.5
0.5u/0.5=3/0.5
u=6
Second triangle :
sin45=x/4
Cross multiply
x=4 x sin45
x=4 x (√2)/2
x=2√2
Cos45=y/4
Cross multiply
4 x Cos45=y
4 x (√2)/2=y
(4√2)/2=y
2√2=y
y=2√2
Answer:
Length=44feet
Width=12feet
Step-by-step explanation:
length:width=11:3
Perimeter=56feet
Sum of ratio=11+3
Sum of ratio=14
Length=11/14 x 56
Length=(11 x 56)/14
Length=616/14
Length=44feet
Width=3/14 x 56
Width=(3 x 56)/14
Width=168/14
Width=12feet
Answer:
4
Step-by-step explanation:
it is 4 because if you divide 24 by 6 it will equal 4.
Answer:
Infinitely many solutions.
Step-by-step explanation:
2 (n - 1) + 4n = 2 (3n - 1) Let's simplify this to solve it.
2n - 2 + 4n = 6n - 2 Distribute 2(n-1) and 2(3n-1)
2n + 4n - 2 = 6n - 2 Rearrange the left side of the equation.
6n - 2 = 6n - 2 Add 2n + 4n.
-6n -6n Subtract 6n from both sides.
-2 = -2
the answer is infinitely many solutions, meaning that n can be any real number.
