Answer:
<em>x = -3 and y = 0</em>
Step-by-step explanation:
<em>It would be more direct to apply elimination in this problem, rather than substitution:</em>
2x + 6y = -6 ⇒ 2x + 6y = -6 ⇒ 10x = - 30
+ 2(4x - 3y = -12) + 8x - 6y = -24
<em>Now let us solve for x through simply algebra:</em>
10x = -30,
<em>x = -3</em>
<em>Substitute this value of x into the first equation to get the value of y:</em>
2( -3 ) + 6y = -6,
-6 + 6y = -6,
6y = 0,
<em>y = 0</em>
Given:
Population proportion,

= 57% = 0.57
Population standard deviation, σ = 3.5% = 0.035
Sample size, n = 40
Confidence level = 95%
The standard error is

The confidence interval is

where

= sample proportion
z* = 1.96 at the 95% confidence lvvel
The sample proportion lies in the interval
(0.57-1.96*0.0783, 0.57+1.96*0.0783) = (0.4165, 0.7235)
Answer: Between 0.417 and 72.4), or between (41% and 72%)
Answer:
(- 7, - 4 )
Step-by-step explanation:
Given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the turning point is
x = - 
y = x² + 14x + 45 ← is in standard form
with a = 1, b = 14 , then
x = -
= - 7
Substitute x = - 7 into the equation and evaluate for y
y = (- 7)² + 14(- 7) + 45 = 49 - 98 + 45 = - 4
coordinates of turning point = (- 7, - 4 )
Answer:
displacement = 75 km
Step-by-step explanation:
the distance from final to initial point gives the displacement
displacement = 120 - 45
Area of 1 exam room = 10 ft. × 10 ft. = 100 ft.²
Area of 10 exam room = 100 ft.² × 10 = 1000 ft.²
Area of waiting room = 20 ft. × 15 ft. = 300 ft.²
Area of office area = 25 ft. × 20 ft. = 500 ft.²
Now,
Total area of the hospital to be replaced = 1000 ft.² + 300 ft.² + 500 ft.² = 1800 ft.²