Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The margin of error is E = 0.03
The sample proportion is 
From the question we are told the confidence level is 95% , hence the level of significance is
=> 
Generally from the normal distribution table the critical value of 
is
Generally the sample size is mathematically represented as
![n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%7D%7BE%7D%20%5D%5E2%20%2A%20%5C%5E%20p%20%281%20-%20%5C%5E%20p%20%29%20)
=> ![n = [\frac{1.96}{0.03} ]^2 *0.12 (1 - 0.12 )](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7B1.96%7D%7B0.03%7D%20%5D%5E2%20%2A0.12%20%281%20-%200.12%20%29%20)
=>
Answer:
h = 
Step-by-step explanation:
Given
A = 
(a + c)h
Multiply both sides by 2 to clear the fraction
2A = (a + c)h ( divide both sides by (a + c) )
= h
Answer:
13 Kilometers = 13000 meters
Step-by-step explanation:
Using the conversion:
We can find how much meters are in 13 km.
=> 13 Kilometers = 1000 x 13
=> 13 Kilometers = 13000 meters
Therefore, in 13 kilometers, there is 13000 meters.
Hoped this helped.
Answer:
The longest side length b is approximately 13.172 cm
Step-by-step explanation:
The given parameters are;
The area of the triangle = 22.4 cm²
The given angles of the triangle = ∠97°
The given side of the triangle = 3.7 cm
The formula for the area of a triangle, A = 1/2 × a × b × sin(C)
Where;
a, and b are the side legs forming the angle C
Therefore, we have;
A = 22.4 = 1/2 × 3.7 × a × sin(97°)
a = 22.4/(1/2 × 3.7 × sin(97°)) ≈ 12.199
a ≈ 12.199 cm
Therefore, by cosine rule, we have;
b² = a² + c² - 2 × a × c × Cos(B)
Substituting the values, gives;
b² = 12.199² + 3.7² - 2 × 12.199 × 3.7 × Cos(97°)
b² ≈ 173.507
∴ b ≈ √173.507 ≈ 13.172
b ≈ 13.172 cm
First we need to find the slope of the line.
slope = y1-y2/x1-x2 = 4-1/3-(-3) = 3/6 = 1/2
So, the slope is 1/2
Now, we need to find the y-intercept by using the equation y=mx+b
y=mx+b
4=1/2(3)+b
4=3/2+b
-3/2 -3/2
5/2=b
So, the equation is y=1x/2+5/2 which is also C. y-3=1/2(x+1)
HPE THIS HELPS!!!
