Answer:
(-2, 1)
Step-by-step explanation:
Hi Juliadayx! How are you?
Well, maybe you already heard about the domain and the range of a function.
The domain is the set of values that the independent variable can take (usually referred to as the letter "x"), while the range is the set of values that the dependent variable takes, which is called f(x) or function of x.
In this case, the exercise asks you to evaluate for which values of “x” (right column of the table), the function “f(x)” takes positive values (left column of the table), the positive values also include zero. And in this case you can see that the function f(x) is only positive for the values of "x": -2, -1, 0 and 1. Therefore, the answer is the entire interval (-2, 1).
I hope I've been helpful!
Regards!
Answer:
The integral for the arc of length is:
By using Simpon’s rule we get: 1.5355453
And using technology we get: 2.3020
The approximation is about 33% smaller than the exact result.
Explanation:
The formula for the length of arc of the function f(x) in the interval [a,b] is:
We need the derivative of the function:
And we need it squared:
Then the integral is:
Now, the Simposn’s rule with n=4 is:
In this problem:
So, the Simposn’s rule formula becomes:
Then simplifying a bit:
Then we just do those computations and we finally get the approximation via Simposn's rule:
While when we do the integral by using technology we get: 2.3020.
The approximation with Simpon’s rule is close but about 33% smaller:
Answer:
it is -25/18
Step-by-step explanation:
Answer:
A two-sample t-test for a difference between sample means
Step-by-step explanation:
<u>Explanation</u>:-
A random sample of 50 bags from each of Brand X and Brand Y was selected
Given two sample sizes n₁ and n₂
Each bag was held from its rim, and one-ounce weights were dropped into the bag one at a time from the same height until the bag ripped
mean of ounces the first sample = x⁻
mean of the second sample =y⁻
Given data one-ounce weights were dropped into the bag one at a time from the same height until the bag ripped
Standard deviation of the first sample = S₁
Standard deviation of the second sample = S₂
Now we use t - distribution for a difference between the means

where

Degrees of freedom γ = n₁ +n₂ -2
Largest possible number = 150 ÷ 3 = 50
Sum = 50 + 50 + 50 = 150
Product = 50 x 50 x 50 = 125000
Answer: The three numbers are 50, 50 and 50.