Given:
The parallel sides of a trapezium are 28.7 cm and 22.3 cm.
The distance between parallel sides is 16 cm.
To find:
The area of a trapezium.
Solution:
The area of the trapezium is:
Where, are parallel sides and
is the vertical distance between the parallel sides.
Putting in the above formula, we get
Therefore, the area of the trapezium is 408 square cm.
Answer:
(a) The probability of getting someone who was not sent to prison is 0.55.
(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is 0.63.
Step-by-step explanation:
We are given that in a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison. Among those sent to prison, 40% chose to plead guilty. Among those not sent to prison, 55% chose to plead guilty.
Let the probability that subjects studied were sent to prison = P(A) = 0.45
Let G = event that subject chose to plead guilty
So, the probability that the subjects chose to plead guilty given that they were sent to prison = P(G/A) = 0.40
and the probability that the subjects chose to plead guilty given that they were not sent to prison = P(G/A') = 0.55
(a) The probability of getting someone who was not sent to prison = 1 - Probability of getting someone who was sent to prison
P(A') = 1 - P(A)
= 1 - 0.45 = 0.55
(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is given by = P(A'/G)
We will use Bayes' Theorem here to calculate the above probability;
P(A'/G) =
=
=
= <u>0.63</u>
Answer:
The test statistic for Business College is -0.9944
The test statistic for Liberal Arts College is 1.1483
The test statistic for Education College is 0
Step-by-step explanation:
The percentage of ABC University college students in
Business College = 35%
Liberal Arts College = 35%
Education College = 30%
The number of students in the sample = 300 students
In the sample, the number of students in;
Business College = 90
Liberal Arts College = 120
Education College = 90
Therefore;
The percentage of Business College students = 90/300 × 100 = 30%
The percentage of Liberal Arts College, = 120/300 × 100 = 40%
The percentage of Education College, = 90/300 × 100 = 30%
The test statistic for the difference in two proportions is given as follows;
Where;
= The sample proportion
p = The population proportion
q = 1 - p
n = The sample size
The test statistic for Business College is;
The test statistic for Liberal Arts College is;
The test statistic for Education College is;
