Answer: 554
Step-by-step explanation:
If prior population proportion is known, then the formula to find the sample size is given by :-
![n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2](https://tex.z-dn.net/?f=n%3Dp%281-p%29%28%5Cdfrac%7Bz_%7B%5Calpha%2F2%7D%7D%7BE%7D%29%5E2)
As per given description, we have
p= 0.1
E=0.025
Critical z-value for 95% confidence : ![z_{\alpha/2}=1.96](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.96)
Then,
![n=0.1(1-0.1)(\dfrac{1.96}{0.025})^2=553.1904\approx554](https://tex.z-dn.net/?f=n%3D0.1%281-0.1%29%28%5Cdfrac%7B1.96%7D%7B0.025%7D%29%5E2%3D553.1904%5Capprox554)
Hence, the minimum sample size required = 554.
x - 5y = -5, -5x - 25y = 25
First, you'll need to get the x variable by itself.
x - 5y = -5<u>
</u><u> +5 +5</u><u>
</u> x = 0
So x is plotted on the 0.
For the second part of the first equation, you'll be looking for what the y variable represents.
x - 5y = -5
<u>-x -x</u><u>
</u> <u>-5y</u> = <u>-5</u><u>
</u><u> 5 5</u><u>
</u> y = 1
So y is plotted on the 1 on the vertical line above the 0.
For the first part of the second equation, you'll do the same thing as in the first equation.
-5x - 25y = 25
<u> +25 +25</u><u>
</u> <u>-5x</u> = <u>50</u><u>
</u> 5 5
x = 10
So the x for this equation is plotted on 10 on the horizontal line.
For the second part of the second equation, you will do the same thing as in the first equation.
-5x - 25y = 25
<u>+5 +5</u><u>
</u> <u>-25y</u> = <u>30</u><u>
</u> 25 25
y = 1.2
So the y for the second half of the second question is plotted on 1.2 on the vertical line.
<h2>
Answer: B) Perpendicular</h2>
Perpendicular means the lines may or may not be of equal length and they will not be perfectly in line with each other.
Parallel means the lines may or may not be of equal length but will be perfectly in line with each other.
Intersecting means the lines may or may not be of equal length but will touch each other.
The intersection of two planes is always a line
Answer:
259
Step-by-step explanation:
USE PEMDAS
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
Answer:
113 is correct because 49 divided by 3 is 16.33. 16.33 multiplied by 7 is 113
Step-by-step explanation: