Answer:
Step-by-step explanation:
The rate of change in the temperature T of coffee at time t is written as 
(remember derivatives are used to express rates of change, and in our case the rate of change of the temperature T). The difference between the temperature M of the air at time t, and the temperature T of the coffee at time t can be expressed as 
Saying that the rate of change in the temperature T is proportional to the difference between M and T is just a way of saying that the rate of change in the temperature T is equal to the difference between M and T, multiplied by some constant k (whose value we don't know, but still that's what it means).
Therefore we get
Answer:
P value is 0.1932
conclusion is that find value P greater than hypothesis test at the 0.05 level
Step-by-step explanation:
Given data
registered organ donors P = 40%
sample n = 200
registered organ donors x = 74
hypothesis test α = 0.05
to find out
P-value and state a conclusion
solution
we take a trail p less than 40 % i.e 0.40
so p = x/n
p = 74 / 200 = 0.37
so we find here Z value i.e
Z = p - P / √(PQ/n)
here Q = 1-p = 1-0.40 = 0.60
so Z = 0.37 - 0.40 / √(0.40×0.60/200)
Z = - 0.866
so p value for Z (-0.866) from z table
P value is 0.1932
and conclusion is that find value P greater than hypothesis test at the 0.05 level
6+2(x+8)+3x+11+x
First you have to expand the brackets:
6+2x+16+3x+11+x
Now you group like terms (terms with the same or no variable):
2x+3x+x+11+16+6
And finally, combine like terms:
6x+33
Hope this helps :)
Answer:
(3, -3)
Step-by-step explanation:
When asked to solve by elimination, you put them on top of one another, like you're going to add it.
10x + 7y = 9
-4x - 7y = 9
See that 7y? You can cancel those out because one is negative, and one is positive. So those are gone. You finish adding the rest of the numbers as usual and solve for x.
6x = 18
x = 3
Take x, and plug it into either equation to find y.
10(3) + 7y = 9
7y = -21
y = -3
(3, -3)
Hope this helped!
