Answer: (x,y) -> (7/4x, 7/4y)
Step-by-step explanation:
Let the length be x and the width be w
The perimeter will be:
2x+3w=1500
thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x
The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²
The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.
Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m
The width will be 250 m
Answer:
5 kilos
Step-by-step explanation:
55:11
5:1 ratio
Okay so for each person we're pretty much gonna have to find the value of strokes over holes.
Rory: 42 strokes per 9 holes
Jordan: 79 strokes per 18 holes
Ricky: 123 strokes per 27 holes
Now, we can do the division for each person and round. But first, I'll say stokes per hole is s/h. Just feed each number into a calculator like this: <em>per </em>means divide.
Rory: 4.66667 s/h
Jordan: 4.38889 s/h
Ricky: 4.55556 s/h
Well, Jordan had the lowest number of strokes per hole since his value is the smallest.
Answer: Jordan
Answer: 0.9617
Step-by-step explanation:
Given : The proportion of adults use their phones in meetings or classes : p=0.57
Number of adults randomly selected : n= 9
Let x be the random variable that represents the number of adults use their phones in meetings or classes.
By using binomial probability formula, to find the probability of getting success in x trials.
The probability that at least 3 of them use their smartphones in meetings or classes will be :-
Hence, the required probability is 0.9617 .
