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.
1. A relation is a set from x to a set y is called a function if each element of c is related to exactly one element in y. That is,given an element c in c, there is only one element in y that x is related to.
2. You can set up the relation as a table of ordered pairs. Then, text to see if each element in the domain is matched with exactly one element in the range . if so you have a function
3. The domain is the set of all possible x-values which will make the function "work" and will output real y- values .When finding the domain , remember :the denominator (bottom) of a fraction cannot be zero .
4.
1 and half hour
= 60 minutes+ 30 minutes
= 90 minutes
Now,
Uzanne need 15 minutes to do 10 problems
Uzanne need 1 minute to complete 10/15 problems
Uzanne need 90 minutes to do
= (10/15)*90
=(2/3)*90
=2*30
=60 problems
Answer:
45.367 cm
Step-by-step explanation:
Approximating to a more number of decimal places gives a better estimation of the exact value.
For 45.367 cm, we approximated to three decimal places or five significant figures.
For 43.43 cm, the approximation is done to four decimal places.
Therefore the measurement 45.367cm is more precise because it has a relatively smaller error.
Table:
x y
-3 0.5
-2 1
-1 2.5
0 5
1 8.5
Now, y = ax^2 + bx + c
Start replacing x = 0 and y = 5
5 = a(0) + b(0) + c => c = 5.
Now, replace any other two pair of data:
(-2, 1) => -1 = a(-2)^2 + b(-2)
-1 = 4a - 2b
(1, 8.5) => 8.5 = a(1)^2 + b(1)
8.5 = a + b
Solve the system
4a - 2b = - 1
a + b = 8.5
=>
4a - 2b = - 1
2a + 2b = 17
-------------------------
6a = 16
=> a = 16 / 6 = 8/3
b = 8.5 - a = 17/2 - 8/3 = 35/6
=> y = (8/3)x^2 + (35/6)x + 5 <--------- answer
