Answer:
4+4=8 quickmaf
Step-by-step explanation:
Ggg4 fg5*6
Answer:
Domain: (-∞,∞), Range: [2,∞)
The value of the variable x will be 37°. Then the measure of the angle ∠QNP will be 105°.
<h3>What is an angle?</h3>
The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The measure of angles ∠MNQ = (2x + 1)° and ∠QNP = (3x - 6)°.
Then the value of x will be
We know that the angles ∠MNQ and ∠QNP are supplementary angles. Then the value of the variable x will be
∠MNQ + ∠QNP = 180°
(2x + 1)° + (3x - 6)° = 180°
5x - 5° = 180°
5x = 185°
x = 37°
Then the measure of the angle ∠QNP will be
∠QNP = [3(37) - 6]°
∠QNP = 111° - 6°
∠QNP = 105°
The value of the variable x will be 37°. Then the measure of the angle ∠QNP will be 105°.
More about the angled link is given below.
brainly.com/question/15767203
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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
F(n)=3n-2
Plug in 2 for n. f(2)=3(2)-2=4