Answer:
second option
Step-by-step explanation:
Pythagoras for right-angled triangles :
c² = a² + b²
c is the Hypotenuse, the line opposite of the 90 degree angle.
a and b are the other 2 sides.
the distance between 2 points is the Hypotenuse of a right-angled triangle of the coordinate differences in x and y.
so, we have (-2, -3) and (3, 2)
distance² = (x1 - x2)² + (y1 - y2)² = (-2 - 3)² + (-3 - 2)² =
= (-5)² + (-5)² = 25 + 25 = 2×25 = 50
distance = sqrt(50) = sqrt(2×25) = 5×sqrt(2)
A trick that is good for multiplying 9's is, remember that each time the tens digit changes the number in the ones spaces minuses 1. If you don't understand what I am saying look at the following:-
9
18
27
36
45
54
63
72
81
See the pattern? In the tens place you need to add 1 and in the tens place you need to subtract by 1.
Hope I helped ya!! xD
The guy above did you dirty
Answer:
The sample size required is 289.
Step-by-step explanation:
Let <em>p</em> be population proportion of people that would buy the product.
It is provided that the nationwide poll on this type of product and price was run earlier this year, with percentages running from 75% to 80%.
Assume that the sample proportion of people that would buy the product is,
.
A 95% Confidence Interval is to be constructed with a margin of error of 5%.
We need to determine the sample size required for the 95% Confidence Interval to be within 5% of the actual value.
The formula to compute the margin of error for a (1 - <em>α</em>)% confidence interval of population proportion is:

The critical value of <em>z</em> for 95% confidence interval is,
<em>z</em> = 1.96.
Compute the sample size required as follows:

![n=[\frac{z_{\alpha/2}\ \sqrt{\hat p(1-\hat p)} }{MOE}]^{2}](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5C%20%5Csqrt%7B%5Chat%20p%281-%5Chat%20p%29%7D%20%7D%7BMOE%7D%5D%5E%7B2%7D)
![=[\frac{1.96\cdot \sqrt{0.75(1-0.75)} }{0.05}]^{2}\\\\=(16.9741)^{2}\\\\=288.12007081\\\\\approx 289](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B1.96%5Ccdot%20%5Csqrt%7B0.75%281-0.75%29%7D%20%7D%7B0.05%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D%2816.9741%29%5E%7B2%7D%5C%5C%5C%5C%3D288.12007081%5C%5C%5C%5C%5Capprox%20289)
Thus, the sample size required is 289.
Answer:
1.) BC, AD, FI.
2.) Parallel.
Step-by-step explanation:
I can't get the other two I'm sorry mate like I really gotta go. Before my mum gets mad. Got chores. Good luck.