I believe the first answer is correct
Answer:
Step-by-step explanation:
We khow that the genetic mutation affect 2 percent of the population .
Let's try to understand what does this mean :
- in a group of 100 people there is possibility of finding 2 people with this genetic mutation
- in a group of 1000 the possibility raises to 20 people so we can deduce that each time we add a zero we add a zero in 2
so :
- 100⇒2
- 1000⇒20
- 10000⇒200
- 100000⇒2000
and so on
The correct question is
The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of √<span>2/2 .
What is the measure of the angle?
Let
</span>∅--------> the angle
cos ∅=√2/2<span>
cos </span>∅=[distance of one of the leg/hypotenuse]
[distance of one of the leg/hypotenuse]=√2/2
<span>I could say that
</span>distance of one of the leg=√2
and
hypotenuse=2
so
<span>applying the Pythagorean theorem
</span>c=hypotenuse=2
a=√2
b=?
c²=a²+b²-------> b²=c²-a²------> b²=2²-(√2)²-----> b²=2-----> b=√2
therefore
if a=b
then
the angle ∅=45°
the answer is the option
<span>b.45 degrees</span>
The mean proportion is p = 36/120 = 0.3.
The standard deviation of the proportion will be sqrt(p*(1-p)/n) = sqrt(0.3*0.7/120) = 0.0418. We multiply this by the z-score of 1.645 to get a deviation of 0.0688.
Therefore, the confidence interval is (0.3 - 0.0688, 0.3 + 0.0688), which is
(0.2312, 0.3688).
