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
Heat can be moved from one place to another by 3 methods: cunduction, which happends in solids, convection, which happends in fluids, and radiation. Conduction occurs when two objects are touching each other. Heat moves from the hot object to the cold object until the two objects are the same temperature. Convection happends when hotter areas of a liquid or gas rise to the colder areas. Both conduction and convection require some form of matter but radiation does not. Radiation does not rely on things in contact with a heat source and what is being heated. For example, we feel the sun everyday and it feels hot but we never touch it.
Answer:
9 people should get on stop 1.
Step-by-step explanation:
If i understood it correctly .
13 people on bus initially.
at first stop - 4 people get off . So 9 people should be on bus.
But few get in bus ( that is what is asked in the question - but it is not super clear to me)
after 2nd stop - there are 12 people on bus.
at 2nd stop 6 people got off.. so there were total of 18 on the bus
So if there were 9 people on bus stop by stop 1 .. so 9 people should have got in bus at stop 1 to make it equal to 18.
Only doubt i have is : if the question is asking how many got on the 2nd stop. also i was not clear what does this line means - At the first stop, four people get off and to get on.
Answer:
the probability that all tomatoes are sold is 0.919 (91.9%)
Step-by-step explanation:
since the random variable X= number of tomatoes that are demanded, is normally distributed we can make the standard random variable Z such that:
Z=(X-μ)/σ = (83 - 125)/30 = -1.4
where μ= expected value of X= mean of X (since X is normally distributed) , σ=standard deviation of X
then all tomatoes are sold if the demand surpasses 83 tomatos , therefore
P(X>83) = P(Z>-1.4) = 1- P(Z≤-1.4)
from tables of standard normal distribution →P(Z≤-1.4)=0.081 , therefore
P(X>83) = 1- P(Z≤-1.4) = 1 - 0.081 = 0.919 (91.9%)
thus the probability that all tomatoes are sold is 0.919 (91.9%)
