Half of what the recipe required because your using half the required amount of sugar
Answer:
A sample of 16577 is required.
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 z-score that has a p-value of 
.
The margin of error is of:
99% confidence level
So 
, z is the value of Z that has a p-value of 
, so 
.
She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?
We have no estimation for the proportion, and thus we use 
, which is when the largest sample size will be needed.
The sample size is n for which M = 0.01. So
Rounding up:
A sample of 16577 is required.
Answer:
B, E
Step-by-step explanation:
Answer A is wrong: 5 + 2 + x
Answer C is wrong: 5 + x + x
Answer D is wrong: 5 + x*x
F is wrong, because a product is the result of multiplying.
Tan(a/2) = sin a / (1 + cos a)
tan(45/2) = sin(45) / (1 + cos(45)) = (1/√2) / (1 + 1/√2) = (1/√2) / (√2 + 1)/√2 = 1/(√2 + 1) = (√2 - 1)
The correct answer to this question would be answer choice B.
To convert the decimal 0.56 to a fraction, first set it to a fraction over 100 which would be 56/100.
Then, because the question asks for the fraction to be in simplest form, look for the greatest common factor of the numerator and denominator or 56 and 100.
To find it, list out all of their factors:
56: 1, 2, 4, 7, 8 , 14, 28, 56
100: 1, 2, 4, 5, 10,20,25,50,100
Notice that out of all the factors listed, the greatest common factor listed is 4. Because of this, divide both the numerator and denominator by 4 to simplify your fraction to your answer: 14/25
