We would need a sample size of 560.
We first calculate the z-score associated. with this level of confidence:
Convert 95% to a decimal: 95% = 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this is associated with a z-score of 1.96.
The margin of error, ME, is given by:
We want ME to be 4%; 4% = 4/100 = 0.04. Substituting this into our equation, as well as our proportion and z-score,
Answer:
16
Step-by-step explanation:
You see, if you were to plot these points, (1, 2) and (1, 7) would be 5 points away from each other. If you were to plot the points (4, 2) and (4, 7) those points would also be 5 points away from each other. Now, (1, 2) and (4, 2) are 3 points apart as well as (1, 7) and (4, 7). Therefore, 5 + 5 = 10, 3 + 3 = 6, and finally, 10 + 6 = 16!
Answer:
Volume = V= 346.43 cm ^3
Step-by-step explanation:
15.32 x 10 = 153.2cm Area of side
We find the height of the cylinder, to enable the radius/2 for the circle side x 2
it would be the same as triangle side 6 but the exact circumference is worked out at 6.37
We start by finding the side
As a = half circumference = 20 x sin (30) =10 we x2 for full circumference, then divide by pi
10 +10 =20cm circumference.
20/6.28 =3.1847133758 = radius
we x 2 and find the height
3.1847133758 x 2 = 6.3694267516
rounded to nearest 10th = 6.4 units exact 6.37
We find other measurements before calculating volume.
and b = √400-√100 = √300
b= 17.32 (height for volume use) or length of right side cylinder
c= 20 hypotenuse.
Volume = πr2h
V= 3.14 * 6.37 * 17.32 =346.43
V= 346.43 cm ^3
V= 346 cm ^3 to nearest 10th
V= 346.43 cm^3
Incomplete Question the complete Qs is
Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m = 1/2?
a: y=1/2x+2
b: y=-2x+1/2
c: x-2y=-4
d: y-1=1/2(x+2)
Answer:
The Correct option is c. x-2y=-4
Therefore the correct equation for the line passing through the point (-2,1) and having slope m= 1/2 is
Step-by-step explanation:
Given:
point A(x₁, y₁)=(-2,1)
To Find:
Equation of Line =?
Solution:
Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,
i.e equation in point - slope form
Now on substituting the slope and point A( x₁ , y₁) ≡ ( -2 , 1) we get
As required
Therefore the correct equation for the line passing through the point (-2,1) and having slope m= 1/2 is
Answer:
The given theorem proves that the door is not a rectangle right now since, the door came out of shape, it can be proved by the Pythagorean theorem. If the length is set to a certain shape, and the width is set to a certain shape, and drawn to diagonals. If solved by the Pythagorean Theorem, if the length of two diagonals are similar then and only then the door would be a rectangle.
Hope this helps!
