Answer:
17.1≤x≤23.1
Step-by-step explanation:
The formula for calculating the confidence interval is expressed as;
CI = x ± z*s/√n
x is the mean yield = 20.1
z is the 80% z-score = 1.282
s is the standard deviation = 7.66
n is the sample size = 11
Substitute
CI = 20.1 ± 1.282*7.66/√11
CI = 20.1 ± 1.282*7.66/3.3166
CI = 20.1 ± 1.282*2.3095
CI = 20.1 ±2.9609
CI = (20.1-2.9609, 20.1+2.9609)
CI = (17.139, 23.0609)
hence the required confidence interval to 1dp is 17.1≤x≤23.1
Answer:
1
x = 0, x = 3
2
x = -3, x = 3
3
x = -2/3, x = 1
4
x = -1, x = 1, x = -3/2
Step-by-step explanation:
1
3x^2 - 9x = 0
3x(x - 3) = 0
when 3x = 0, x = 0
when x - 3 = 0, x = 3
2
x^2 - 9 = 0
(x - 3)(x + 3)
when x + 3 = 0, x = -3
when x - 3 = 0, x = 3
3
3x^2 - x = 2
3x^2 - x - 2 = 0
(3x + 2)(x - 1 ) = 0
when 3x + 2 = 0, 3x = -2, x = -2/3
when x - 1 = 0, x = 1
4
2x(x^2 - 1) + 3(x^2 - 1) = 0
2x^3 - 2x + 3x^2 - 3 = 0
2x^3 + 3x^2 - 2x - 3 = 0
(x + 1)(x - 1)(2x + 3) = 0
when x + 1 = 0, x = -1
when x - 1 = 0, x = 1
when 2x + 2 = 0, 2x = -3, x = -3/2
Answer:
27% chance a tv is defective. 13% chance one at least one doesn't work.
Step-by-step explanation:
100/15
4X6.67=26.67
*NOT 100% JUST TRYING TO HELP*
Answer:
Step-by-step explanation:
Given the equation of motion;
S = ut + 1/2 at² where;
u is the initial velocity,
a is the acceleration, and;
t is the time.
We are to express a in terms of u, t and S
Making a the subject of the formula;
S = ut + 1/2 at²
S-ut = 1/2at²
2(S-ut) = at²
a = 2(S-ut)/t²
Hence the acceleration a in terms of other variables is expressed as a = 2(S-ut)/t²