a. Find the probability that an individual distance is
greater than 214.30 cm
We find for the value of z score using the formula:
z = (x – u) / s
z = (214.30 – 205) / 8.3
z = 1.12
Since we are looking for x > 214.30 cm, we use the
right tailed test to find for P at z = 1.12 from the tables:
P = 0.1314
b. Find the probability that the mean for 20 randomly
selected distances is greater than 202.80 cm
We find for the value of z score using the formula:
z = (x – u) / s
z = (202.80 – 205) / 8.3
z = -0.265
Since we are looking for x > 202.80 cm, we use the
right tailed test to find for P at z = -0.265 from the tables:
P = 0.6045
c. Why can the normal distribution be used in part (b),
even though the sample size does not exceed 30?
I believe this is because we are given the population
standard deviation sigma rather than the sample standard deviation. So we can
use the z test.
Applying the properties of a kite, m∠WZY = 128°.
<h3>Properties of a Kite</h3>
- The diagonals of a kite bisect each other perpendicularly.
- The main diagonal bisects the opposite angles.
Given:
m∠ZWY=41∘
m∠XYW=11∘
m∠WZY = (180 - 90 - 41) + (180 - 90 - 11)
m∠WZY = 49 + 79
m∠WZY = 128°
Therefore, applying the properties of a kite, m∠WZY = 128°.
Learn more about kite on:
brainly.com/question/25776644
Answer:
D. A crab and a shark both have skeletons.
Step-by-step explanation:
Answer:
520 :)
Reason:
65%-> .65
.65 x 800=
520