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:
a - 13/30
Step-by-step explanation:
2/5 +x = 5/6
2/5 + x -2/5 = 5/6 - 2/5
x = 13/30
8/10, because it's double the numbers
ANSWER
x=27
EXPLANATION
The two triangles are similar so the corresponding sides are equal.
![\frac{x}{x +1 8} = \frac{39}{39 + 26}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7Bx%20%2B1%208%7D%20%20%3D%20%20%5Cfrac%7B39%7D%7B39%20%2B%2026%7D%20)
![\frac{x}{x +1 8} = \frac{39}{65}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bx%20%2B1%208%7D%20%20%3D%20%20%5Cfrac%7B39%7D%7B65%7D%20)
Cross multiply to get;
![65x = 39(x + 18)](https://tex.z-dn.net/?f=65x%20%3D%2039%28x%20%20%2B%2018%29)
Expand:
65x=39x+702
Group similar terms:
65x-39x=702
Simplify
26x=102
Divide both sides by 26,
x=702/26
x=27