Given:
The table of values for the function f(x).
To find:
The values
and
.
Solution:
From the given table, it is clear that the function f(x) is defined as:

We know that if (a,b) is in the function f(x), then (b,a) must be in the function
. So, the inverse function is defined as:

And,

...(i)
Using (i), we get

Now,


Therefore, the required values are
and
.
Answer:
A 1/2
Step-by-step explanation:
Ratio of short length to hypotenuse
= cos60
= 1/2
The median is the middle number of the data plot. Since there 30 numbers, there isn't a exact middle. To find the median you must add the two middle number then divide by 2.
In this case you must add 87 and 88 which gives 175.
Then divide 175 by 2 which gives 87.5
87.5 is the median
Theres no graphs but this is how the function looks like
Answer:
The value of the test statistic is 4.70.
Step-by-step explanation:
The hypothesis for this test can be defined as follows:
<em>H</em>₀: Men do not spend more than women on St. Patrick's day, i.e. μ₁ = μ₂.
<em>H</em>ₐ: Men spend more than women on St. Patrick's day, i.e. μ₁ > μ₂.
The population standard deviations are not known.
So a <em>t</em>-distribution will be used to perform the test.
The test statistic for the test of difference between mean is:

Given:

Compute the value of the test statistic as follows:

Thus, the value of the test statistic is 4.70.