Answer:
The sample size required is 2500.
Step-by-step explanation:
z-score:
In function of the margin of error M, the z-score is given by:

In this question, we have that:

So






The sample size required is 2500.
Answer:
Step-by-step explanation:
This is a third degree polynomial since we have 3 zeros. We find these zeros by factoring the given polynomial. The zeros of a polynomial are where the graph of the function goes through the x-axis (where y = 0). If x = -4, the factor that gives us this value is (x + 4) = 0 and solving that for x, we get x = -4. If x = -2, the factor that gives us that value is (x + 2) = 0 and solving that for x, we get x = -2. Same for the 5. The way we find the polynomial that gave us these zeros is to go backwards from the factors and FOIL them out. That means that we need to find the product of
(x + 4)(x + 2)(x - 5). Do the first 2 terms, then multiply in the third.
, which simplifies to

No we multiply in the final factor of (x - 5):
which simplifies to

If you are aware of the method for factoring higher degree polymomials, which is to use the Rational Root Theorem and synthetic division, you will see that this factors to x = -4, -2, 5. If you know how to use your calculator, you will find the same zeros in your solving polynomials function in your apps.
Let's see -
Follow the directions below to get your answer -
0.75 × 68 = 51
51 + 68 = 119
So, 119 is your answer
68 increased by 75% is 119.
↑ ↑ ↑ Hope this helps! :D
Answer:
Wilhem
Step-by-step explanation:
The given equation is

Step 1 : Add 32g and 8g.



Step 2: Subtract 10 from 40.


Step 3: Divide both sides by 30, find the value of g.


The value of g is 5.
Therefore, Wilhem is correct.