Answer:
Option (b) is correct.
The temperature of the metal after two hours is 28 Celsius
Step-by-step explanation:
Given : A heated piece of metal cools according to the function 
, where x is measured in hours and then a cooling device id added that aids in cooling according to the function 
We have to determine the temperature of the metal after two hours.
Let w(x) denotes the temperature of metal .
Thus, w(x) can be given by function c(x) + h (x) = [c + h](x)
Thus, \\\\w(x)=(0.5)^{x-7}+(-x-2)\\\\](https://tex.z-dn.net/?f=w%28x%29%3D%5Bc%2Bh%5D%28x%29%5C%5C%5C%5Cw%28x%29%3D%280.5%29%5E%7Bx-7%7D%2B%28-x-2%29%5C%5C%5C%5C)
, where x is measured in hours.
Thus, after two hours that is when x = 2
the temperature of metal is given by w(2)
Solving , we get,
Thus, the temperature of the metal after two hours is 28 Celsius.
Hence, Option (b) is correct.
Answer:
294
Step-by-step explanation:
1470 diviend by 5 = 294.
Answer:
Step-by-step explanation:
Given that sample size is 130 >30. Also by central limit theorem, we know that mean (here proportion) of all means of different samples would tend to become normal with mean = average of all means(here proportions)
Hence we can assume normality assumptions here.
Proportion sample given = 92/130 = 0.7077
The mean proportion of different samples for large sample size will follow normal with mean = sample proportion and std error = square root of p(1-p)/n
Hence mean proportion p= 0.7077
q = 1-p =0.2923
Std error = 0.0399
For 95% confidence interval we find that z critical for 95% two tailed is 1,.96
Hence margin of error = + or - 1.96(std error)
= 0.0782
Confidence interval = (p-margin of error, p+margin of error)
= (0.7077-0.0782,0.7077+0.0782)
=(0.6295, 0.7859)
We are 95% confident that average of sample proportions of different samples would lie within these values in the interval for large sample sizes.
GCF = 1 since most of them are not prime factors
Answer:
q = -12
Step-by-step explanation:
-9 - 11 can be written as -9 + (-11)
-20 = 2q + 4
Subtract 4 from both sides.
-24 = 2q
Divide both sides by 2
-12 = q
Hope I helped :)
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