Answer:
The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).
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 = 27 - 1 = 26
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.7787.
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 4.9 - 3.7 = 1.2.
The upper end of the interval is the sample mean added to M. So it is 4.9 + 3.7 = 8.6.
The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).
Answer:
8 + k² - 6 > 8(k + 2) - 4k when k = 7
Step-by-step explanation:
8 + k² - 6 = 8 + 7² - 6 = 51
8(k + 2) - 4k = 8(7 + 2) - 4(7) = 8(9) - 28 = 44
8 + k² - 6 > 8(k + 2) - 4k when k = 7
Answer:
4
Step-by-step explanation:
To find the degree of a polynomial, identify the term with the greatest exponent. The exponent of that term is the degree of the polynomial.
In the given polynomial 5x⁴+4x²+2x+1, the term with the greatest exponent is 5x⁴. This term has an exponent of 4, so therefore, the degree of the polynomial is 4.
I hope this helps!
:) Brainliest pls?
Answer:
f(x) * g(x) = -35x^3 - 59x^2 - 74x - 72
Step-by-step explanation:
If f(x) = 7x+9 ang g(x) = -5x^2 - 2x - 8, then
f(x) * g(x) will be:
(7x+9)(-5x^2 - 2x -8)
f(x) * g(x) = -35x^3 - 59x^2 - 74x - 72
Answer:
P(x)=0.025x+100
Step-by-step explanation:
The 0.025 is 2.5% as a decimal. Then, the +100 is for the base pay amount Hailey receives.