Answer: d. 1068
Step-by-step explanation:
Let p be the proportion of adults believe that global warming is a liberal hoax designed to hurt oil companies.
Given : You plan to take a survey of n adults to "estimate" this proportion. You want to be able to say that your estimate is within three percentage points (i.e., within 0.03) of the true proportion, with 0.95 probability.
Margin of error : E= 0.03
We know that the z-value for 95% confidence = 
Since the prior proportion of adults believe that global warming is a liberal hoax designed to hurt oil companies.
We assume p = 0.5
Then by Central Limit Theorem , the required sample size would be :


Simply , we get
[Rounded to the next whole number.]
Hence, the smallest sample size that guarantees that you would obtain a satisfactory estimate =1068
41,790 divided by 120 oranges = 199 trees remaining
Answer:
12/13
Step-by-step explanation:
Multiply 8 with the numerator
8 * 3/26 = 24/26
Simplify
12/13
Hope this helps :)
Answer:
1 - 4/5-(-1/5)
Step-by-step explanation:
1. - 4/5-(-1/5)
= -0.8+0.2 (if there is a minus sign inside and outside of the parenthesis, when we destroy that parenthesis, both the minus signs will be multiplied and becomes a (+).) (Making it to the percentile).
= -0.6
2. - 4/5-1/5
= -0.8-0.2
= -1
3. -(4/5+1/5)
= -(0.8+ 0.2) (Making those to the percentile).
= -(1) = -1 (When we destroy the parenthesis, if there is a minus sign outside the parenthesis, the result will become a minus.)
From the above expressions, we can see that after calculating, the second and third expressions have the same value, i. e. -1. However, the result of the first expression is different, and we get -0.6. So option one is the right choice.