The right answer is, 18+14.
y = A(Bx - C)ⁿ + D
A is a vertical stretch (or shrink if |A| < 1
B is a horizontal shrink by factor of (or stretch if |B| < 1)
C is a shift to the right (or left if C is negative)
D is a shift up (or down if D is negative)
*************************************************
y = x² - 5 ⇒ D = -5
Answer: shift down 5 units
Answer:
(3x + 4)(9x² - 12x + 16
Step-by-step explanation:
27x³ + 64 ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²), thus
27x³ + 64
= (3x)³ + 4³
= (3x + 4)(9x² - 12x + 16)
Answer:
The 95% confidence interval for the population mean is between 17.9 and 20.3 years.
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 = 9 - 1 = 8
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.306
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 19.1 - 1.2 = 17.9 years.
The upper end of the interval is the sample mean added to M. So it is 19.1 + 1.2 = 20.3 years.
The 95% confidence interval for the population mean is between 17.9 and 20.3 years.
Answer:
Yes
Step-by-step explanation:
3²+4²=5²
9+16=25
25=25