Answer:
9. 
fraction.
10. 
fraction.
Step-by-step explanation:
In the given table, we get, Andrea hiked 
of the total trail, Jon hiked 
of the total trail and Callie hiked 
of the total trail.
9. Therefore, Jon hiked 
fraction than Andrea hiked.
10. Therefore, Callie hiked 
fraction than Jon hiked. (Answer)
Answer:
a) We conclude that the menager use the hypergeometric distribution.
b) We conclude that the menager use the binomial distribution.
Step-by-step explanation:
a) We know that in probability theory, the hypergeometric distribution is a discrete probability distribution that describes the probability of k successes in n draws, without replacement.
We conclude that the menager use the hypergeometric distribution.
b) We know that the binomial distribution describes the probability of k successes in n draws with replacement.
We conclude that the menager use the binomial distribution.
Answer:
Step-by-step explanation:
<u>x is side of right triangle with other sides:</u>
<u>Then x is:</u>
- x² = √20² - 4²
- x² = 4
- x = 2
Given:
Consider the below figure attached with this question.
and 
.
To find:
The measure of angle 3.
Solution:
From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.
We know that, vertically opposite angles are always equal. So,
Now,
Therefore, the measure of angle 3 is 140 degrees.
Answer:
The angles 
are used to prove the similarity of triangles VWZ and YXZ.
Step-by-step explanation:
Given information: 
Two triangles are called congruent if their corresponding sides are in same proportion or the corresponding angles are same.
If two corresponding sides of triangle have same proportion and their inclined angle is same, then by SAS rule of similarity both triangles are similar.
From the given figure it is noticed that the ∠VZW and ∠YZX are vertically opposite angles. The vertically opposite angles are always equal.
(Vertically opposite angles)
(Given)
By SAS rule of similarity
Therefore the angles are used to prove the similarity of triangles VWZ and YXZ.
