E + 10 = P
(P + 5) = 2(E +5)
E = P -10
P + 5 = 2((P-10)+5)
P + 5 = 2P -20 + 10
P + 5 =2P - 10
-P = -15
P = 15
Y would equal 40 because 180 is the total
Answer:
Test statistics
Step-by-step explanation:
A test statistic is calculated to compare with the critical value approach. The critical value is found by choosing any value of significance level ∝ = 0.05, 0.1 or 0.01 . Mostly 5% is preffered .
The the calculated value of the test statistic is compared with the chosen value rejection region that whether it falls in the critical region or not.
The test statistic is applied on the conditions given. For example comapring many results can be done by using chi square or comparing two means can be done by t test or testing the variation can be done by F - test.
In the given problem a z test would be used.
Solution
2014 - 1969 = 45
45 x 0.2633 = 11.8485 = 12
Final Answer:
C) 26.33%
Answer:
ΔT = ΔT0 e^-K T
As I understand Newton's Law of Cooling
ΔT at any time is the difference between the temperature and the surroundings
Originally ΔT0 = 95 - 22 difference between 95 and room temperature
65 - 22 = 33 = 73 e^-KT where t is time to cool to 65 deg
ln (33/73) = -KT K = .794 / 5 = .159 where 5 is time to cool to 65 deg
40 - 22 = 73 e^-.159 T where t is time to cool to 40 deg
18 = 73 e^-.159 T
ln (18 / 73) = -.159 T
T = 8.8 min
It would take 8.8 min for the object to cool to 40 deg C
Suppose the object cooled from 95 to 90 deg, then
ln 68 / 73 = -.159 T and T = .45 min