Answer:
When dividing two values with the same base, we simply subtract the first exponent by the second and keep the original base. 3^3-6=3^-3. This equals out to be 1/27.
Step-by-step explanation:
Answer:
He spent around $ 52.17 in each month.
Step-by-step explanation:
Last year the power bill price = $ 626.14 ≈ $ 626
We know that in a year 12 months. so power bill of each month in last year is calculated as follows
$ 52.17
Therefore he spent around $ 52.17 in each month.
Answer:
The large sample n = 1713.96
Step-by-step explanation:
<u>Explanation</u>:-
given the population proportion was estimated to be 0.22
population proportion (P) = 0.22
The 95 % level of significance = 1.96≅ 2
The margin of error = 0.02
The formula of margin error
… ( i )
Substitute 'p' values in equation (1)
cross multiplication and simplification, we get
squaring on both sides, we get
the large sample n = 1713.96
Answer:
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
b) The solution of the system is:
m = 2.5
p = 2.5
Step-by-step explanat:
It is desired to obtain 5 pounds of a mixture containing 40% peanuts and 60% almonds.
It has a mixture of 20% peanuts and 80% almonds.
p: number of pounds of peanuts
m = amount of mixture
The equation that represents the amount of peanut and mixture that is needed is:
p + m = 5 pounds
m = 5-p (i)
The amount of peanut in total that the mixture should have is:
p + 0.2m = 0.6 (5)
p + 0.2m = 3 (ii)
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
Now we substitute (i) in (ii) and clear p.
p + 0.2 (5-p) = 3
p-0.2p = 2
p = 2.5 pounds
Now we find m
m = 5 - 2.5
m = 2.5 pounds
b) The solution of the system is:
m = 2.5
p = 2.5
Answer:637kgms-2
Step-by-step explanation:the force acting on him will be Made X acceleration due to gravity. Then since the mass is 65, multiply it with 9.8, then you will get the force which is 637kgms-2
