Answer:
128.69.
Step-by-step explanation:
The variance is np(1 - p)
= 625*(0.28) * 0.71
= 128.69.
Answer:
length = 3x = 3 × 11 = 33 m
breadth = 2x = 2 × 11 = 22 m
Step-by-step explanation:
here's the solution :-
let's take the ratio constants be x
so, length = 3x
breadth = 2x
And, we know that area of rectangle =
length × breadth
So,
=》
=》
=》
=》
=》
=》
so, length = 3x = 3 × 11 = 33 m
breadth = 2x = 2 × 11 = 22 m
Based on the theory, the distance from the starting point to the return point = Arc length = 109.9 feet.
<h3>What is the Length of an Arc?</h3>
Arc length = ∅/360 × 2πr
Since the sector formed is a quarter circle, then ∅ = 90°.
Raidus (r) = 70 ft
Distance from the starting point to the return point = arc length.
Arc length = ∅/360 × 2πr = 90/360 × 2π(70)
Arc length = 109.9 feet
Therefore, based on the theory, the distance from the starting point to the return point = Arc length = 109.9 feet.
Learn more about the arc length on:
brainly.com/question/2005046
Easy way, visual
50---68---80%
Difference 18 12
Invert order to give ratio of 50% and 80%
Ratio 12 18 = 2:3
So by simple proportion:
volume of 50% needed = 100*2/(2+3)=40 mL
volume of 80% needed = 100*3/(2+3)=60 mL
Algebra way
Let x=volume of 50% needed.
Then
0.50*x+0.80*(100-x) = 0.68(100)
Expand and solve for x
0.5x+80-0.8x = 68
0.8x-0.5x = 80-68
0.3x = 12
x=12/0.3 = 40 mL (volume of 50%)
100-x=100-40=60 mL (volume of 80%)
