Solution :
It is given that :
(Null hypothesis, is also correct)
(Alternate hypothesis, also called )
This is a lower tailed test,
Therefore,
Sample proportion,
= 0.04
And claimed proportion, P = 0.05
Significance level, = 0.01
Therefore, calculating the statistics, we get
Standard deviation of
Test statistic,
Now since this is a lower tailed test, p-value =
Rejection Criteria : Reject if p-value < α .
Conclusion : Since the p-value , we fail to reject the null hypothesis. There is insufficient evidence that p is less than 0.05
You divide it all by 2 so basically a would be (9,5) and b would be (12,2) and c would be (6,2)
124+(2x+4) = 180
2x = 52
x = 26
Note: supplementary angles means that sum of the two angles is 180 degrees
Find out how many times 9 can go into 35. It's 3 because 27 is the closet it can get to 35 without going over. The remainder is 8. So it would be 3 and 8/9.
Answer:
Option (A)
Step-by-step explanation:
Option A
Each small segment on the number line measure (0.5) unit.
Red point on the number line is 5 small segment distant from center 0.
So, the position of the point = 0.5 × 5 = 2.5
Since, the point is on the negative side position will be → -2.5
Option B
Position of the point = 0.5 ×3 = 1.5
Option C
Position of the point = 0.5 × 1 = -0.5 (negative sign shows the position of the point on the negative side of the number line)
Option D
Position of the point = 5 × 0.5 = 2.5