Answer: sqrt(58)
Step-by-step explanation:
what is the answer for this? Select all the fractions that are equivalent to 45. Use the area models to help.
1 answer:
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Answer:
b. The null and alternative hypothesis are:
c. Student's t distribution, as it is a two-sample test for the difference between means.
d. Test statistic t = 5.42.
P-value = 0
e. They appear to be significantly different, as the sample data gives strong evidence that the difference is greater than 0.
Step-by-step explanation:
This is a hypothesis test for the difference between populations means.
The claim is that the mean life spans in the county is significantly different for whites and nonwhites.
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The sample 1 (white), of size n1=124 has a mean of 45.3 and a standard deviation of 12.7.
The sample 2 (non-white), of size n2=82 has a mean of 34.1 and a standard deviation of 15.6.
The difference between sample means is Md=11.2.
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this test are:
df=n_1+n_2-2=124+82-2=204
This test is a two-tailed test, with 204 degrees of freedom and t=5.42, so the P-value for this test is calculated as (using a t-table):
As the P-value (0.0000002) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the mean life spans in the county is significantly different for whites and nonwhites.
Answer:
Option B. all real numbers
Step-by-step explanation:
We have
and
They ask us to find
(fog)(x) and it's Domain
To solve this problem we must introduce the function g(x) within the function f(x)
That is, we must do f(g(x)).
So, we have:
Then:
The domain of the function f(g(x)) is the range of the function .
Since the domain and range of g(x) are all real numbers then the domain of f(g(x)) are all real numbers
Therefore the correct answer is the option b:
And his domain is all real.
Answer:
The magnitude is
The direction is i.e toward the x-axis
Step-by-step explanation:
From the question we are told that
The function is
The point considered is
Generally the maximum rate of change of f at the given point and the direction is mathematically represented as
At