Answer:
The parameters in the parent function are:
- the parameter correspondig to - 3 in the given function is 0 in the parent function.
- the parameter corresponding to 1/2 in the given function is 1 in the parent function, and
- the parameter corresponding to - 1 in the given function is 1 in the parent function.
Explanation:
The given function is
.
The parent function of
. The parameters of the given function are -1 (which is mutlyplying the value of cosine, 1/2 which is multiplying the argument (x), and - 3 which is subtracted.
In the parent function, those values are 1, 1, and 0.
It may help you representing the parameters in the given function with letters:
Then, in the given function A = - 1, B = 1/2, and C = -3.
Now, you can write the parent function:
Then, the parameters are A = - 1, B = 1, and C = 0.
Answer:
81 hours
Step-by-step explanation:
Let x be the time are needed
45:5 = x:9
5x = 45×9
5x = 405
x = 81
Answer:
The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 16 - 1 = 15
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.7531
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 23.29 - 0.34 = 22.95 mpg
The upper end of the interval is the sample mean added to M. So it is 23.29 + 0.34 = 23.63 mpg
The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.
D) 36x^2-81
both 36x^2 and -81 are perfect squares
difference means subtraction