Answer:
(b) 67
Step-by-step explanation:
A solution to the differential equation describing the temperature according to Newton's Law of Cooling could be written as ...
T = (final temp) + (initial difference)×(decay factor)^t
where the decay factor is the fraction of change during 1 unit of time period t.
__
Here, the initial difference of 100-25 = 75 degrees decays to 90-25 = 65 degrees in 1 minute. So, the units of t are minutes, the decay factor is 65/75, the initial difference is 75 degrees, and the final temperature is 25 degrees. That lets us write the equation as ...
T = 25 +75(65/75)^t
Then for t=4, the temperature is ...
T = 25 +75(13/15)^4 ≈ 67.3 . . . . degrees
After 4 minutes the temperature of the coffee is about 67 degrees.
Answer:0.1446
Step-by-step explanation:
Let p be the population proportion of adults say that cloning of humans should be allowed.
As per given , the appropriate set of hypothesis would be :-
Since is left-tailed and sample size is large(n=1012) , so we perform left-tailed z-test.
Given : The test statistic for this test is -1.06.
P-value for left tailed test,
P(z<-1.06)=1-P(z<1.06) [∵P(Z<-z)=1-P(Z<z]
= (Using z-value table.)
Hence, the p-value for this test statistic= 0.1446
The right answer for the question that is being asked and shown above is that: "The southern California study with a margin of error of 4.9%." the study has the smallest margin of error for a 98% confidence interval is that The southern California study with a margin of error of 4.9%.<span>
</span>
9 is the answer
Step by step
....
164+219=383 is exact for estimate round 164 to 165 or 160 and 219 to 220 so
165+220=385 or 160+220=380