Answer:
The image of OH is ON.
Step-by-step explanation:
Te figure GIKMPR is a regular hexagon. The number of vertices of a regular hexagon is 6. The central angle between any two consecutive vertices is 60 degree.
The dashed line segments form 30 degree angles.
If we rotate the hexagon 180 degree about O, then the each point shifts to 6th place from its original place.
Since we rotate the hexagon 180 degree about O, so the image and preimage lies on a straight line. Because a straight line make angle of 180 degree.
The line OH and ON lies on a straight line therefore the image of OH is ON.
Distance = Square Root ( (X difference)^2<span> + (Y difference)^</span>2<span> )
</span>
Distance = Square Root ( (-4 --7)^2 + ( 3 --2)^2<span> )
</span>Distance = Square Root (3^2 + 5^2)
<span>Distance = Square Root (9 + 25)
Distance = </span><span>Square Root (34)
Distance = </span><span>5.8309518948
Therefore the length of lm equals </span>
<span>
<span>
<span>
5.8309518948
</span>
</span>
</span>
Answer: 400
Step-by-step explanation:
From the question, we see that population proportion (p) = 0.15
Margin of error (m) = 5%
Confidence level = 99%
Level of significance = 100- confidence level = 1%.
The population standard deviation (s) for this data set is
√p(1-p) = √ 0.15 × (1 - 0.15)
√ 0.15 × 0.85 = 0. 1275
Margin of error = critical value × population standard deviation / √n
The critical value (c) for Constructing a 99 % confidence interval for population mean is = 2.58
m = c× √p'(1-p') /√n
We want to make n subject of the formulae, we have that
m = c√p'(1-p') /√n
m×√n = c × √p'(1-p')
√n = c × √p'(1-p') / m
n = c² × {√p'(1-p')}² / m
n = 2.58² × 0.1275/ 0.05²
n = 6.6564 × 0.01625625 / 0.0025
n = 339.47 ~ 400
Answer:
d= - 9
Step-by-step explanation:
-2d-15+15=3+15
-2d=18
-2d/-2 = 18/-2
d= -9
