Answer: 96
Step-by-step explanation:
Answer:
x=8
A = 192
Step-by-step explanation:
The perimeter is the sum of the outer lengths
17.9 + 22.6 + 3x = 64.5
Combine like terms
40.5 +3x = 64.5
Subtract 40.5 from each side
40.5 +3x -40.5 = 64.5 - 40.5
3x =24
Divide each side by 3
3x/3 = 24/3
x = 8
The area of a triangle is given by
A = 1/2 bh
The base is 3x = 3(8) =24
and the height is 2x = 2(8) =16
A = 1/2 (24) * 16
A =192
Answer:b. 0.22
Step-by-step explanation:
Since the lengths of adult walleye fishes are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = lengths of walleye fishes.
µ = mean length
σ = standard deviation
From the information given,
µ = 44 cm
σ = 4 cm
We want to find the probability or fraction of fishes that are greater than 41 cm in length. It is expressed as
P(x > 41) = 1 - P(x ≤ 41)
For x = 41,
z = (41 - 44)/4 = - 0.75
Looking at the normal distribution table, the probability corresponding to the z score is 0.22
