If the larger angle is x and the smaller angle is y, y=(1/2)x+30 since it's 30 more than 1/2 of it. In addition, x+y=180 since they are supplementary. Plugging y=(1/2)x+30 into that, we get x+x/2+30=180=1.5x+30. Subtracting 30 from both sides, we get 1.5x=150. Next, we can divide both sides by 1.5 to get x=100 and y=(1/2)*100+30=50+30=80
Answer:
c. 0.1151
Step-by-step explanation:
d) the probability that, on average, fish are larger than 86 centimeters in length.The area under part of a normal probability curve is directly proportional to probability and the value is calculated as
z = (x₁−x) /σ
where z = propability of normal curve
x₁ = variate mean = 86cm
x = mean of 80cm
σ = standard deviation = 5cm
applying the formula,
z= (86-80)/5
z = 6/5 =1.2
Using a table of partial areas beneath the standardized normal curve (see Table of normal curve, a z-value of 1.2 corresponds to an area of 0.3849 between the mean value. but, because the standard curve has 0.5, then will minus 0.3849 from 0.5= 0.5 - 0.3849 = 0.1151
Thus the probability of a fish are larger than 86 centimeters in length is 0.1151
Answer:
(This is a example since you don’t have anything to round to)
Example Answer if the radius is 4 - 50.24
Step-by-step explanation:
Example Radius : 4
Area : 3.14
We have the mulitiply 3.14 times The Example Radius 2 times because The diameter of a circle is 2 times its radius.
( 3.14 x 4 x 4) 50.24
If you know the diameter, it’s a half or 1/2 as large.
Therefore, if the radius was 4, it would be 50.24.
Youre welcome :)
The answer is 15 cm. Hope I could be of help! ; )
