Answer:
Table 1,
1 16
2 8
3 4
4 2
Step-by-step explanation
The equation for this function can be written as
y = 16^1/x
This is exponential decay.
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Answer:
346
Step-by-step explanation:
6z2+2z+10
(6 x 3)^2 + 2 x 3 + 10
18^2 + 12 + 10
324 + 22
346
Answer:
The symbols that we will use are:
a > b (a is larger than b)
a < b (a is smaller than b)
a ≥ b (a is larger than or equal to b)
a ≤ b (a is smaller than or equal to b).
1) if x represents the inches of snow, we have:
"More than 4 inches" means that x must be strictly larger than 4 inches, this can be written as:
x > 4 inches.
2) "less than 25 inches" means that x must be strictly smaller than 25 inches, this can be written as:
x < 25 inches.
3) If T represents the temperature
"No more than 8°F" means that the temperature can be smaller than 8°F, or equal to 8°F, then we can write this situation with:
T ≤ 8°F
4) "At least 7°F" means that the temperature can be 7°F or more than that, then we can write this situation as:
T ≥ 7°F
Answer:
And we can find this probability using excel or the normal standard tabe and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the temperatures of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using excel or the normal standard tabe and we got:
Answer:
1/4 * 12
Step-by-step explanation:
It takes 1/4 hour to fill 1/12
It has to do this 12 times to be full
so 1/4 hour times 12
