Answer:
109 metres
Step-by-step explanation:
1. Do 15+36+29 which equals 80
2. Do 189-80 and u get 109
Hope this helps :3
Answer:
b. 7/18.
Step-by-step explanation:
That would be 1/2 - 1/9
= 9/18 - 2/18
= 7/18.
The law of detachment is a set of three sentences, such that:
- Sentence 1 is a statement of the form If p, then q
- Sentence 2 is a statement of the form p
- Sentence 3 is a conclusion of the form q
Let's see which of the options follow the pattern indicated above:
Option A: If an object is a square, it is a parallelogram. The object is a square. The object is a parallelogram. - MATCHES THE ABOVE PATTERN. Hence, is an example of the Law of Detachment.
Option B: If two angles are linear pairs, the angles are supplementary. The two angles are linear pairs. Therefore, the angles are supplementary. - DOES NOT MATCH THE ABOVE PATTERN.
Option C: If it is snowing, the play will be cancelled. If the play is cancelled, the theater will refund the cost of admission. Therefore, if it is snowing, the theater will refund the cost of admission to the play. - DOES NOT MATCH THE ABOVE PATTERN.
Option D: If it is snowing, the play will be cancelled. It is snowing. Therefore, the play is cancelled. - MATCHES THE ABOVE PATTERN. Hence, is an example of the Law of Detachment.
Hence, option A and option D are examples of the Law of Detachment.
Answer:
A sample of at least 545 adults is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
The margin of error is:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
If he wishes to be 95% confident that his estimate contains the population proportion, how large a sample will be necessary?
We need a sample of at least n.
n is found when M = 0.03. So
Rounding up
A sample of at least 545 adults is needed.
