Answer:
Correct option is
C
36.25
Modal class =30−40
So we have, l=30,f0=12,f1=32,f2=20 and h=10
⇒ Mode=l+2f1−f0f2f1−f0×h
=30+2×32−12−2032−12×10
=30+6.25
=36.25
∴ Mode =36.25
Answer:
(a) [8, 14]
(b) 
(c)See attachment
Step-by-step explanation:
We want to choose a value of x within 3 units of 11.
(a)Now, 11-3=8 and 11+3=14
The possible values of x ranges is in the closed interval [8,14]
(b) Since x is within 3 units of 11., we have:

Solving the absolute inequality

(c)To draw the number line, we use a closed dot since we have the less than or equal to sign.
The probability that all three would recommend their attorney to a friend is 18.19%, and the probability that the first would not, but the second and third would recommend their attorney to a friend is 8.56%.
<h3><u>Probabilities</u></h3>
Since the Better Business Bureau conducts a survey of 30 people who recently hired an attorney, and 17 of them say that they would recommend their attorney to a friend, while 8 say that they would not recommend their attorney to a friend, and the remaining 5 say that they are not sure, and then three people are selected from this group of 30 people at random, to determine what is the probability that A) all three would recommend their attorney to a friend, and B) the first would not, but the second and third would recommend their attorney to a friend, the following calculation must be performed:
A)
- 17/30 x 17/30 x 17/30 = X
- 0.5666 x 0.5666 x 0.5666 = X
- 0.1819 = X
B)
- 8/30 x 17/30 x 17/30 = X
- 0.2666 x 0.5666 x 0.5666 = X
- 0.0856 = X
Therefore, the probability that all three would recommend their attorney to a friend is 18.19%, and the probability that the first would not, but the second and third would recommend their attorney to a friend is 8.56%.
Learn more about probabilities in brainly.com/question/24217562
Given:
The two points are (0, -2) and (9, 10).
To find:
The distance between the given points.
Solution:
Distance between the two points is

Using the above distance formula, the distance between given points is



On further simplification, we get



Therefore, the distance between the given points (0,-2) and (9,10) is 15 units.