Answer:
22°
Step-by-step explanation:
Since the triangle is right use the sine ratio
sinQ =
=
, hence
Q =
(
) = 22° ( nearest degree )
Answer:
- Options 1 and 3 are direct variation
Step-by-step explanation:
<u>Direct variation is:</u>
<u>Options:</u>
1.
2.
- y = 2x + 3, not a direct variation, no
3.
<u>Try the input/output to determine the direct variation:</u>
<u>Verify the other pairs:</u>
- x = 6, y = 6(4/3) = 8
- x = 9, y = 9(4/3) = 12
- x = 12, y = 12(4/3) = 16
- x = 15, y = 15(4/3) = 20
This is also a direct variation
<span>the probability that the average of the count is more than 68 mosquitoes per square meter. assuming that the variable is normally distributed will be calculated as follows:
z=(x-</span>μ<span>)/</span>σ
where:
x=68
μ=70
σ=8
thus
z=(68-70)/8=-0.25
P(x>68)=1-P(x<68)=1-P(z<-0.25)
=1-0.4013
=0.5987
Answer: P(x>68)=0.5987