Answer:
The answer is 0.8788
Step-by-step explanation:
<em>From question given, let us recall the following:</em>
<em>We know that Ƶα /2 * √p (1-p)/n</em>
<em>when we use n≤ 5000/10 =500</em>
<em> P = 0.75</em>
<em>The Margin of error = 0.03</em>
<em>Putting this values together we arrive at </em>
<em> Ƶα/2 = 0.03/√0.75 * 0.25/500 </em>
<em>= 1.549</em>
<em>Now,</em>
<em>Ф (1.549) = 0.9394</em>
<em>Therefore the confidence level becomes:</em>
<em> 1- (1-∝)/2 = 0.9394</em>
<em>∝ = 0.8788</em>
<em>The answer is 0.8788</em>
<em />
Y = -2x - 2. Slope here is -2. A parallel line will have the same slope.
y = mx + b
slope(m) = -2
(3,4)...x = 3 and y = 4
now we sub and find b, the y int
4 = -2(3) + b
4 = - 6 + b
4 + 6 = b
10 = b
so ur parallel equation is : y = -2x + 10
Answer:
120
Step-by-step explanation:
Krutika:48
David: 48
Mark: 48÷2= 24
Because 2 : 2 : 1
48+48+24=120
The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Data;
- Angle = 30 degree
- Opposite = 35
- Adjacent = x
<h3>Trigonometric Ratio</h3>
Given the angle of depression from his point to the sea, we can use trigonometric ratio to calculate for the horizontal distance from his location to the bottom of the sea.
SOHCAHTOA
Since we have the value of angle and opposite and we need to calculate the adjacent side of the right-angle triangle, we can use the tangent of the angle to this effect.

The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Learn more on trigonometric ratio here;
brainly.com/question/12172664