Step-by-step explanation:
Let the dimension of the box be x, y and z.
Volume of the box V = xyz
Since the box is a rectangular box, the base will be a square of equal length.
V = x²h where h is the height of the box
If the sum of the length, width, and height equals 180, then x+x+h = 180
2x+h = 180
h = 180-2x
Substitute h = 180-2x into the volume of the box
V = x²(180-2x)
V = 180x²-2x³
The box has its maximum volume when 
Since 2x+h = 180
Substitute x = 60 into the equation ang get the height h
2(60)+h = 180
120+h = 180
h = 180-120
h = 60
Hence the dimension of the rectangular box is 60 by 60 by 60
Step-by-step explanation:
a. 3
b. I think it's 1
c. the same with b
d. 3
e. 7
f. 2
if is helpful ❤❤
THANK YOU.
The answer is around 168.56
work :
the side of the square is 28 in
so the diameter of the circle is 28 in, too(look at the picture)
then the radius is 14 (28/2)
the area of the circle is
the area of the square is
so the area of the shaded region will be around:
good luck
Answer:
3.8
Step-by-step explanation:
If it takes 6 for 5 cooks to do 1 dinner, 1 cook does 1 dinner in 6*5 = 30 hours. 8 cooks can do 1 dinner in 30/8 hours or 3.75 which rounded is 3.8
Can I have Brainliest if I'm correct?
Answer:
(i) 0.15708
(ii) 0.432488
(iii) 3
Step-by-step explanation:
Given that, 99% of people who fracture or dislocate a bone see a doctor for that condition.
There is only two chance either the person having fracture or dislocation of bone will either see the doctor or not.
As per previous data, if one person got a fracture or dislocation of bone, the chance of seeing the doctor is 0.99. Assuming this chance is the same for every individual, so the total number of people having fractured or dislocated a bone can be considered as Bernoulli's population.
Let p be the probability of success represented by the chances of not seeing a doctor by any one individual having fractured or dislocated a bone.
So, p=1-0.99=0.01
According to Bernoulli's theorem, the probability of exactly r success among the total of n randomly selected from Bernoulli's population is
(i) The total number of persons randomly selected, n=400.
The probability that exactly 5 of them did not see a doctor
So, r=5 , p=0.01
Using equation (i),
=0.15708
(ii) The probability that fewer than four of them did not see a doctor
(iii) The expected number of people who would not see a doctor
=3
