Answer:
(0.392 ; 0.508)
Step-by-step explanation:
Given that :
p = 45% = 0.45
α = 1 - 90% = 0.1
Zα/2 = Z0.01/2 = Z0.05 = 1.645 (from Z standard table).
Using the relation :
p ± Z0.05*sqrt((p(1-p))/n)
p ± 1.645 * sqrt(0.45(0.55)/200)
p ± 1.645 * sqrt(0.0012375)
p ± 1.645 *0.0351781
0.45 - (1.645 * 0.0351781) = 0.3921320255
0.45 + (1.645 * 0.0351781) = 0.5078679745
(0.392 ; 0.508)
Answer:
Step-by-step explanation:
observe
Answer:
Step-by-step explanation:
1) 2x + y = 3 -(1)
-3x + 2y = -8 -(2)
(1) x 2 => 4x + 2y = 6 -(3)
(3) - (2)
=> 4x + 2y + 3x - 2y = 6 + 8
=> 7x = 14
=> x = 2
=> 2(2) + y = 3
=> y = 3 - 4 = -1
2) 6x + 7y = -9 -(1)
-4x - 5y = 5 -(2)
(1) x 4 => 24x + 28y = -36 -(3)
(2) x 6 => -24x - 30y = 30 -(4)
(3) + (4)
=> 24x + 28y - 24x - 30y = -36 + 30
=> -2y = -6
=> y = 3
=> 6x + 7(3) = -9
=> 6x = -30
=> x = -5
3) -x - 7y = 9 -(1)
-x + 9y = -23 -(2)
(1) - (2)
=> -x - 7y + x - 9y = 9 + 23
=> -16y = 32
=> y = -2
=> -x - 7(-2) = 9
=> -x = -23
=> x = 23
4) -x + 9y = -5 -(1)
x - 5y = 1 -(2)
(1) + (2)
=> -x + 9y + x - 5y = -5 + 1
=> 4y = -4
=> y = -1
=> x - 5(-1) = 1
=> x = -5
5) -2x + y = 10 -(1)
4x + y = -14 -(2)
(1) - (2)
=> -6x = 24
=> x = -4
=> 4(-4) + y = -14
=> y = -14 + 16 = 2
Answer:
Step-by-step explanation:
To find the total surface area of the cylinder
We get
S.A=2πr^2+2πrh
S.A=2×3.142×4×4+2×3.142×4×10
S. A=100.544inches sq+251.36inches sq
S. A=351.904inches sq
