Show the steps to solve the system of equation. x-2y+3z=-4 , 3x+y-z=0 , 2x+3y-5z=1
1 answer:
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Suppose that Carol has x 10p coins in her purse. Since she has three times as many 20p coins as 10p coins, then she has 3x 20p coins in her purse.
x coins of 10p value $0.10x and 3x coins of 20p value $0.60x.
In total this amount of money is $(0.10x+0.60x)=$0.70x that is exactly $4.20. Thus, you get the equation
0.70x=4.20.
Solve it:
Carol has 6 coins of 10p and 3·6=18 coins of 20p.
Answer:
Step-by-step explanation:
Solution:-
- The sample size = n
- The Error of estimation, E = 0.04
- The confidence level, CI = 99%
a)
What size sample should be obtained when she uses previous estimate of p = 0.52?
- We are given the sample proportion p = 0.52, the required sample size is a function of confidence value and error of estimation (E):
Where,
- The critical value of the confidence level = 99% would be:
significance level ( α ) = 1 - CI = 1 - 0.99 = 0.01
Z-critical = Z_α/2 = Z_0.005 = 2.575
- The required sample size (n) can be calculated:
- Hence, the minimum required sample size (n) should be = 612 adults.
b)
- If the preliminary estimate of proportion is missing or not given, we are to assume the proportion p = 0.5.
- Similarly, repeat the calculations for sample size (n) when p = 0.5
- Hence, the minimum required sample size (n) should be = 664 adults.