Answer:
second option
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
p=1÷4pir+2r
1÷4×22÷7×7+2(7)
=11cm+14cm
=25
Sample size, N = 3450
Point estimate of republican, p = 1789/3450 = 0.5186 = 51.86%
Z = 1.96 at 95% confidence level
Now,
True percentage of republican residing in California = p +/- Z*Sqrt [p91-p)/N] = 0.5186+/- 1.96* Sqrt [0.5186(1-0.5186)/3450] = 0.5186+/-0.017 = (0.5016,0.5356) = (50.16%,53.56%).
Answer:
(-
, 4 )
Step-by-step explanation:
Given the 2 equations
3x + 8y = 28 → (1)
3x + 2y = 4 → (2)
Subtracting (2) from (1) term by term will eliminate the x- term
(3x - 3x) + (8y - 2y) = (28 - 4), that is
6y = 24 ( divide both sides by 6 )
y = 4
Substitute y = 4 into either of the 2 equations and solve for x
Substituting into (1)
3x + 8(4) = 28
3x + 32 = 28 ( subtract 32 from both sides )
3x = - 4 ( divide both sides by 3 )
x = - 
Solution is (-
, 4 )
Answer:
(i) 4000
(ii) $5.00
Step-by-step explanation:
Let no. of shares of Company A be X
Let share price of Company B on Day 7 be $y
Share price of Company B on Day 12 = $(y-0.50)
(i)
Consider Day 7:
4.60x - 2000y = 7400................ (1)
Consider Day 12:
4.80x - 5000(y-0.50) = -5800
4.80x - 5000y + 2500 = -5800
4.80x - 5000y = -8300............... (2)
(1)*2.5:
11.5x - 5000y = 18500................. (3)
(3)-(2):
11.5x - 4.80x - 5000y + 5000y = 18500 + 8300
6.70x = 26800
x = 4000
(ii)
Sub. x = 4000 into (1):
4.60(4000) - 2000y = 7400
-2000y = 7400 - 18400
-2000y = -11000
y = 5.5
Share price of Company B on Day 12
= 5.50 - 0.50
= $5.00