Answer:
Step-by-step explanation:
For a. you are asked to evaluate f(0). This is a piecewise function with different domains for each piece of the function. You can only evaluate f(0) in the function that has a domain that allows 0 in it. In the first domain, it says
x < -3. 0 is not less than -3, so 0 is not in that domain, so you will not use that "piece" of the function to evaluate f(0).
In the next domain, it says that x is greater than or equal to -3 and less than 0. Again, 0 is not included in that domain, so we can't use that "piece" of the function to evaluate f(0).
The last domain says that x is greater than OR EQUAL TO 0, so this is where we evaluate f(0):
f(0) = -0 - 4 so
f(0) = -4
When we want to evaluate f(2), we follow the same rules. Find the piece of the function that allows 2 in its domain. That's the middle piece:
f(2) = 2(2) - 6 so
f(2) = -2
For example, let's say that you had a birth day party, and at the party, you had 11 people all ready bringing food, but you needed 28 people to bring food. And in this equation, "x" would represent the amount of people that needs to come to bring food, and that 28 would then be the total.
We then do, 28 - 11 = 17.
And therefore, there would then have to be 17 people who would have to attend to bring food for the part. (end of example).
So this above would show and model on how to use these kind of equations in a real situation in a everyday life.
Answer:
By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation is 7.1 mm.
This means that
Suppose that 12 individuals are randomly chosen.
This means that
What is the distribution of ¯ x?
By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.
Answer:
55
Step-by-step explanation:
1st you would find the equation which would be (16 + 6.50x) = (10 + 7.50x) then you would find the answer which would be x = 6 then you would do 6.50 times 6 which would give u 39 add that to 16 which is 55 and do the same on the other side (7.50 times 6) which would give u 45 and then add the 10 which is 55 so the answer is 55.