Answer:
The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87
Step-by-step explanation:
We have the standard deviation for the sample. So we use the t-distribution 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 = 45 - 1 = 44
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.0141
The margin of error is:
M = T*s = 2.0141*170.5 = 343.4
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 390.47 - 343.40 = 47.07 units per month
The upper end of the interval is the sample mean added to M. So it is 390.47 + 343.40 = 733.87 units per month
The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87
Answer:
The number of roots for equation
is 4 .
Step-by-step explanation:
Here, the given function polynomial is :

The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots (counting multiplicity).
Now here, the degree if the polynomial is 4 (highest power of variable x).
So, according to the Fundamental Theorem, the given polynomial can have AT MOST 4 roots, counting Multiplicity.
Hence, the number of roots for equation
is 4 .
Answer:
C. it is not a function
Step-by-step explanation:
It fails the horizontal and vertical line test.
To pass the horizontal line test [injective]: must not hit a horizontal line passing through more than once.
To pass the vertical line test [function]: must not hit a vertical line passing through more than once.
Answer:
x = 3
Step-by-step explanation:
given
4(x - 8) + 10 = - 10 ← subtract 10 from both sides
4(x - 8) = - 20 ← divide both sides by 4
x - 8 = - 5 ← add 8 to both sides
x = 3