You have to organize the parameters of the real-world situation that is known and unknown. Also, you have to distinguish which of them are dependent and independent. Next, you assign letters as your variables. Lastly, you make an algebraic expression by translating the relationship into the mathematics.
Answer:
The 95% confidence interval for the true proportion would be given by (0.570;0.630)
.
And if we convert this into % we got (57.0%, 63.0%)
Step-by-step explanation:
The information given we have the following info given:
represent the sampel size
represent the sample proportion of interest
The confidence level is 95%, our significance level would be given by 
and 
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
Replacing the info given we got:
The 95% confidence interval for the true proportion would be given by (0.570;0.630)
.
And if we convert this into % we got (57.0%, 63.0%)
Answer:
7/18π radians Exact answer
1.22 radians Decimal approximation
Step-by-step explanation:
π radians = 180º
70 * π/180 = 7/18π
7/18 * 3.14159 ≈ 1.22
Answer:
It is a linear function because there is a constant rate of change in both the input and output values.
Step-by-step explanation: I took the test
Answer:
20
Step-by-step explanation:
Once you give 1 candy to each of the 4 kids, you will have 3 remaining. The number of ways those can be distributed to 4 kids is given by ...
(n+k-1)C(n)
where n is the number of candies, and k is the number of kids. "aCb" is the number of ways a can be taken b at a time:
aCb = a!/(b!(a-b)!)
For n=3 and k=4, this is ...
(3+4-1)C(3) = 6C3 = 6!/(3!·3!) = 20
There are 20 ways to distribute 7 candies to 4 kids so that each kid receives at least one.
