Answer:
yes
Step-by-step explanation:
Answer:
B. (-3, 5, 6)
Step-by-step explanation:
The system of equations is:
x + 3y - z = 6 ... (i)
4x - 2y + 2z = -10 ... (ii)
6x + z = -12 ... (iii)
The value of z in (iii) is;
z = -12 - 6x
Replacing z in (i) and (ii) gives:
x + 3y - (-12 - 6x) = 6 ... (i)
4x - 2y + 2(-12 - 6x) = -10 ... (ii)
Simplifying gives;
7x + 3y = -6 ... (i)
-8x - 2y = 14 ... (ii)
Multiplying (i) by 2 and (ii) by 3 gives;
14x + 6y = -12 ... (i)
-24x - 6y = 42 ... (ii)
Adding (i) and (ii) gives;
-10x = 30
x = -3
Replacing x = -3 in (i) gives;
7(-3) + 3y = -6
3y = 21 - 6
y = = 5
Replacing x = -3 in (iii) gives;
6(-3) + z = -12
z = -12 + 18 = 6
10 digits.
0, 1, 2, 3, 4, 5, 6, 7, 8, and 9
Answer:
a. 1844
b. 664
Step-by-step explanation:
a. No estimate of proportion is given so we will assume:
{p} = {q} = 0.5
For 99% confidence, z = 2.576
E = 0.03
Hence, Required sample size n = (0.5)*(0.5)*(2.576/0.03)^2 = 1844
b. {p} = 0.10
{q} = 1 - {p}
{q} = 1 - 0.10
{q} = 0.90
For 99% confidence, z = 2.576
E = 0.03
Hence, Required sample size n = (0.1)*(0.9)*(2.576/0.03)^2 = 664
c. There would have been no effect on parts a and b if entire US has been chosen because minimum sample size required is not dependent on population size.
Step-by-step explanation:
First, find the degrees of freedom:
df = n − 1
df = 49
To find the p-value manually, use a t-score table. Find the row corresponding to 49 degrees of freedom. Then find the α column that corresponds to a t-score of 1.421. You'll find it's between α = 0.10 (t = 1.299) and α = 0.05 (t = 1.677). Interpolating, we get an approximate p-value of 0.084. For a more accurate answer, you'll need to use a calculator.