Answer:
The 95% confidence interval for the true average number of homes that a person owns in his or her lifetime is (4,6.2).
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,which is the sample size subtracted by 1. So
df = 50 - 1 = 49
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2.0096
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 5.1 - 1.1 = 4
The upper end of the interval is the sample mean added to M. So it is 5.1 + 1.1 = 6.2.
The 95% confidence interval for the true average number of homes that a person owns in his or her lifetime is (4,6.2).
For this case, the parent function is given by:
We apply the following transformations:
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units upwards:
For k = 9 we have:
Horizontal translations:
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right
For h = 4 we have:
Answer:
The function g (x) is given by:
Step-by-step explanation:
89 multiplied by negative 34 gives a negative answer, since positive multiplied by negative is negative hence,
(89) × (-34) = -3026
Answer:15252.25π^3
Step-by-step explanation:
Radius=r
Circumference=247 ud
Circumference=2 x π x r
247=2πr
Divide both sides by 2π
247/2π=2πr/2π
123.5π=r
Radius=123.5π
Area of circle=π x r x r
Area of circle=π x 123.5π x 123.5π
Area of circle=15252.25π^3
Answer:
x = -15/2
Step-by-step explanation:
For this problem, we will simply use equation properties to solve for x.
2x - 5 = -20
2x - 5 + 5 = -20 + 5
2x = -15 ( Add positive 5 to both sides )
2x * (1/2) = -15 * (1/2)
x = -15/2 ( Multiply both sides by 1/2)
Hence, the solution to x is -15 / 2.
Cheers.
