Answer: a. Each term in Bill's pattern is twice the value of the corresponding item in Jan's pattern.
Step-by-step explanation:
Jan created a pattern by adding 3 and Bill created a pattern by adding 6.
6 is twice the value of 3 so Bill's terms will be twice the value of Jan's corresponding terms as well.
To prove it:
12 is twice the value of 6
18 is twice the value of 9
24 is twice the value of 12
Answer:
Step-by-step explanation:
Given :
Total students = 30
Students passed chemistry exam = 20
Students passed physics exam = 14
Students passed both exams = 6
To find: Venn diagram
Solution:
Total students = 30 i.e. U = 30
Students passed chemistry exam = 20
Students passed physics exam = 14
Students passed both exams = 6
Students passed only chemistry = 20-6 =14
Students passed only Physics = 14-6=6
So refer the attached figure for the Venn diagram
Answer:
Step-by-step explanation:
From the given information:
The null and the alternative hypothesis can be well written as:
Given that:
n = 200
x = 135
Alpha ∝ = 0.05 level of significance
Then;
⇒
= 200 × 0.6 × (1 -0.6)
= 200 × 0.6 × 0.4
= 48 ≥ 10
The sample proportion
= 0.675
The test statistics
Z = 2.165
The P-value = P(Z > 2.165)
= 1 - P(Z < 2.165)
From the z tables
= 1 - 0.9848
= 0.0152
Reject the null hypothesis since P-Value is lesser than alpha. ( i.e. 0.0152 < 0.05).
Thus, there is enough evidence to conclude that the value of the population proportion is greater than 0.6