Answer:
Step-by-step explanation:
1) x+27=1
-27 -27
x = -26
2) x-2y=5 (solving for x)
+2y +2y
x = 5 + 2y
2) x-2y=5 (solving for y)
-x -x
2y = 5 -x
2y/2 5/2 -x/2
y = 5 - x
_____
2 (5-x over 2)
Answer:
The events being a heavy smoker and having emphysema are not independent.
Step-by-step explanation:
We are given the following in the question:
Number of women = 2000
Number of heavy smoker = 340
Number of women who has emphysema = 25
Number of women who has emphysema and are heavy smoker = 21
P(Smoker) =
P(emphysema) =
P(Smoker and emphysema) =
Two events A and B are said to be independent if
Checking conditions for independence:
Thus, the events being a heavy smoker and having emphysema are not independent.
Answer/Step-by-step explanation:
The scale factor is missing in the question. However, here's how to find the length of the new radius if given a known scale factor.
Length of new radius = length of the radius of the dilated circle × scale factor of dilation
Length of the radius of the dilated circle is given as 18m
Therefore,
Length of new radius = 18m × scale factor.
If the scale factor is a fraction, it means the new length would be smaller than 18m. But if the scale factor is a whole number, the new length of the radius would be greater than 18m.
Let's assume any of the following scale factors was what was given in the question:
<em>*If scale factor given is ½, new radius length = 18m × ½ = 9m</em>
<em>*If scale factor given is 2, new radius length = 18m × 2 = 36m</em>
It is an obtuse triangle because one of the interior angles measures more than 90° degrees, and the sum of the remaining two angles is less than 90°.
