Answer:
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The triangle ABD is an isosceles triangle
because
AB=BD
The segment BM is a perpendicular bisector segment AD
so
<em>In the right triangle ABM</em>
Applying the Pythagorean Theorem
we have
substitute
-----> equation A
<em>In the right triangle BMC</em>
Applying the Pythagorean Theorem
we have
substitute
----> equation B
equate equation A and equation B
solve for x
Simplify
<em>Find the length of DC</em>
substitute the given values
Answer:
Step-by-step explanation:
i think it's D i have the same test today
Part a)
The mean height is 69 inches with a standard deviation of 2.5 inches.
If we consider a interval of heights that relies on no more than two standard deviations from the mean, we will cover, approximatelly, 95% of men's heights. Then, we interval that we're looking for is:
Answer: 64 TO 74 INCHES
Part b)
Since [69,74] is half of the interval in the previous answer, we might expect half of 95% as the percentage of men who are in this interval. That is:
Answer: 47.5 PERCENT
Part c)
A interval of heights that relies on no more than one standard deviation from the mean covers, approximatelly, 68% of men's heights. Then, we can consider that the percentage of men that are between 64 and 66.5 inches is given by 47.5 - 68/2 = 13.5.
Answr: 13.5 PERCENT
Answer:
Ö + θ ( (k/m) + (g/l)) = 0
Step-by-step explanation:
Use the FBD attached:
Apply Newtons 2 nd Law in tangential direction:
Sum ( Ft ) = m*a
Sum of all tangential forces is:
m*g*sin(θ) + k*l*sin(θ)*cos(θ) = - m*l*Ö
Using small angle approximations:
sin (θ) = θ
cos (θ) = 1
Ö = angular acceleration.
m*g*θ + k*l*θ = -m*l*Ö
Ö + θ ( (k/m) + (g/l)) = 0
Remember
(x^m)(x^n)=x^(m+n)
and
if a^m=a^n, where a=a then n=m
(x^4)(x^n)=x^5
(x^4)(x^n)=x^(4+n)
x^(4+n)=x^5
therefor
4+n=5
minus 4
n=1
