Answer:
0.1587
Step-by-step explanation:
Given the following :
Mean (m) of distribution = 64 inches
Standard deviation (sd) of distribution = 2 inches
Probability that a randomly selected woman is taller than 66 inches
For a normal distribution :
Z - score = (x - mean) / standard deviation
Where x = 66
P(X > 66) = P( Z > (66 - 64) / 2)
P(X > 66) = P(Z > (2 /2)
P(X > 66) = P(Z > 1)
P(Z > 1) = 1 - P(Z ≤ 1)
P(Z ≤ 1) = 0.8413 ( from z distribution table)
1 - P(Z ≤ 1) = 1 - 0.8413
= 0.1587
For this case we have that by definition, the circumference of a circle is given by:

Where:
d: It is the diameter of the circle
They tell us that:

Substituting:

Thus, the circumference of the circle is 55 centimeters.
Answer:
Option B
Answer:
x=-8
(-8,-7)
Step-by-step explanation:
–9x + 9y = 9
–9x + 9(-7) = 9 (y=-7)
-9x-63=9
Both side +63
-9x=63+9
-9x=72
Both side divide -9
x=-8
y=-7
(-8,-7)
Answer:
x=9
Step-by-step explanation:
We have two similar triangles because both lines are parallel, use proportions to solve:

Answer:
<h3>RO = 107.36</h3>
<u>Step</u>-<u>by</u>-<u>step</u> <u>explanation</u>:
ΔLMN = ΔOPR ----- (<em>given</em>)
<h3>so,-----------------------</h3>
NM / NL = RP / RO
19 / 34 = 60 / RO
RO = 60 × 34 ÷ 19
RO = 107.36