For this case what we should do is observe the figure.
We note that the side opposite to vertex B is the AC side.
From here, we can see that the length of the AC segment is given by:
AC = 4
Therefore, the measurement on the side opposite to vertex B is equal to 4 units.
Answer:
The length of the side opposite B measures 4 units
To evaluate the given probability we proceed as follows:
The z-score is given by:
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
from the question:
mean=272, sig=15
but the sample is n=36, thus we shall have:
√σ/n
=15/√36
=2.5
thus the z-score will be as follows:
x=272
z=(272-272)/2.5=0
x=274
z=(274-272)/2.5==0.8
thus
P(272<x<274)
=P(z<0.8)-P(z<0)
=0.7881-0.5
=0.2881
Hence the answer is 0.2881
Answer:
about $1148.06
Step-by-step explanation:
Your goal is to find the area of the island of grass and multiply that area by the cost per square yard.
Area = radius * radius * pi
You are told that the <em>diameter = 15 yards</em>. We also know that the radius that we need is half of the diameter. <em><u>Radius = 7.5 yards</u></em>.
This means that the <em>Area = 7.5 * 7.5 * 3.14 = 176.625 square yards</em>
Then we multiply by the cost per square yard:
176.625 * 6.50 = 1148.06 is your answer
D = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
d = sqrt( (5 - 2)^2 + (7 - 3)^2 )
d = sqrt( 3^2 + 4^2 )
d = sqrt(9 + 16)
d = sqrt(25)
d = 5