L=2+W
A=LW
A=(2+W)W
20=2W+W^2
0=W^2+2W-20
use quadratic
fr
aw^2+bw+C=0
w=(-b+/-sqrt(b^2-4ac))/2a
a=1
b=2
c=-20
w=(-2+/-sqrt(2^2-4(1)(-20)))/2(1)
w=(-2+/-sqrt(4+80))/2
w=(-2+/-sqrt(84))/2
w=(-2+/-2sqrt(21))/2
w=1+/-sqrt(21)
aprox
w=-3.58 or 5.58
cannot have negative width
w=5.58
round
w=5.6
sub
l=2+w
l=2+5.6
l=7.6
legnth=7.6m
width=5.6m
Answer:




Step-by-step explanation:
Given:

Solving (a): P(x < 810)
To solve this, we make use of:

Because

So:



Hence:

Solving (b): P(x < 800)
To solve this, we make use of:

Because:

So:

Solving (c): P(x > 808.40)
Here, we make use of complement rule:

Where:



So:


Solving (d) The probability that the temperature lies outside 805.60 and 808.40
First, we calculate the probability that it lies within.
This is represented as:

This is calculated using:





Using complement rule, the required probability is:


Answer:
31/40
Step-by-step explanation:
Given that:
Fraction of the trail walked intulally = 9/10
Fraction of the trail walked back = 1/8 before stopping to rest
His current distance from the beginning :
Distance walked initially - distance walked back
9/10 - 1/8
The L. C. M of 10 and 8 = 80
Hence,
9/10 - 1/8
= (72 - 10) / 80
= 62 / 80
= 31 / 40
Hence, his rest point or position is 31/40 from the beginning of the trail
you solve it by using your brain =) 132 degrees
Let x represent the number of song downloads and let y represent the total cost
y=0.95x+70