50 students were surveyed and 18 would like to learn spanish.
Answer: 0.0594
Step-by-step explanation:
Given : The population proportion of adults questions reported that their health was excellent : p = 0.42
Among the 14 adults randomly selected from this area, only 3 reported that their health was excellent.
i.e. Sample size : n= 14


z-score : 
Put x= 3

Then, the probability that only 3 or fewer report having excellent health:-

Hence, the required probability : 0.0594
Answer:
We need a sample size of at least 383.
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
.
The margin of error is:

85% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 85% confidence level with an error of at most 0.03
We need a sample size of at least n.
n is found with 
Then






Rounding up
We need a sample size of at least 383.
A greatest common factor is the largest number that goes into two or more numbers (in this case two). To find the GCF of two numbers, we have to find the prime factorization (how to express a number as a product of prime numbers) and then see which numbers are common in both of the prime factorizations.
11. The prime factorization of 12 is 3 * 2 * 2. The prime factorization of 18 is 3 * 3 * 2. Looking at the prime factorizations, we can see that both of them have 3 and 2. That means that the GCF is 3 * 2 which is 6.
12. The prime factorization of 48 is 2 * 2 * 2 * 2 * 3. The prime factorization of 80 is 2 * 2 * 2 * 2 * 5. We see that the numbers shared are 2, 2, 2, and 2. That means that the GCF is 2 * 2 * 2 * 2 or 16.
Answer:
n has to be greater than or equal to -5.
The numbers -5,-4,-3,-2,-1,0,1....... work for that inequality
Step-by-step explanation: