Answer:
q1=11
q3= 33
Step-by-step explanation:
The data set has 44 number of students. The first quartile is 25 % of the numbers in the data set . So
25 % of 44 = 25/100 * 44= 0.25 *44 = 11
So the first quartile lies at 11.
Similarly the third quartile lies at the 75 % of the numbers of the data set . So
75 % of 44 = 75/100 * 44= 0.75 *44 = 33
So the third quartile lies at 33.
Answer:
a) 0.1829
b) 0.6823
c) 0.0413
Step-by-step explanation:
We are given the following information:
We treat adult having little confidence in the newspaper as a success.
P(Adult have little confidence) = 62% = 0.62
Then the number of adults follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 10
a) exactly 5
0.1829 is the probability that exactly 5 out of 10 U.S.adults have very little confidence in newspapers.
b) atleast six
0.6823 is the probability that atleast 6 out of 10 U.S. adults have very little confidence in newspapers.
c) less than four
0.0413 is the probability that less than 4 out of 10 U.S. adults have very little confidence in newspapers.
Answer:
|0.254 ≤ p ≤ 0.286|
Step-by-step explanation:
Given that:
In a made up poll :
Proportion of people who like dark chocolate than milk chocolate (p) = 27%
Margin of Error = 1.6%
Hence,
p ± margin of error
27% ± 1.6%
(27 - 1.6)% ; (27 + 1.6)%
25.4% ; 28.6%
0.254 ; 0.286
Therefore ;
Lower bound = 0.254
Upper bound = 0.286
Expressing p as an absolute value Inequality ;
|0.254 ≤ p ≤ 0.286|
Answer:
4 inches per second
Step-by-step explanation:
Speed = distance/time
Given
Distance = 20 feet
12 inches = 1 foot
X inches = 20 feet
X = 20 x 12 = 240 inches
Time = 1 minute = 60 secs
Therefore
Speed = 240/60
= 4 inches per second
Answer: Option A and Option C.
Step-by-step explanation:
For this exercise it is important to know the definition of "Vertical Angles".
When two lines intersect or cross, there are a pair of angles that share the same vertex and they are opposite each other. This pair of angles are known as "Vertical angles".
By definition, Vertical angles are congruent, which means that the have the equal measure.
In this case, you can observe in the picture provided in the exercise that the line TI and the line WN intersect each other at the point S.
You can identify that the pair of angles that are opposite to each other and share the same vertex are the shown below:
and 
and 