Answer:
H
Step-by-step explanation:
This is because a rectangle can be divided into two triangles.
Answer:
<em>f( g ( - 2 ) ) = - 14 </em>
Step-by-step explanation:
f(x) = - 2x + 4
g(x) = 3x² - x - 5
f( g ( - 2 ) ) = ?
g( - 2 ) = 3( - 2 )² - ( - 2 ) - 5 = 12 + 2 - 5 = 9
f(9) = - 2 × 9 + 4 = - 14
<em>f( g ( - 2 ) ) = - 14</em>
Answer:
Total distance = 5.754 km
Step-by-step explanation:
Red lines of the right triangle show the layout of the race course.
Total length of the race course = Perimeter of the triangle
Perimeter of the triangle = Sum of the measures of all three sides
= 1.83 + 1.524 + 2.4
= 5.754 km
Therefore, total distance of the race course is 5.754 km.
Answer: a. 1.981 < μ < 2.18
b. Yes.
Step-by-step explanation:
A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.
First, we calculate mean of the sample:


2.08
Now, we estimate standard deviation:


s = 0.1564
For t-score, we need to determine degree of freedom and
:
df = 12 - 1
df = 11
= 1 - 0.95
α = 0.05
0.025
Then, t-score is
= 2.201
The interval will be
± 
2.08 ± 
2.08 ± 0.099
The 95% two-sided CI on the mean is 1.981 < μ < 2.18.
B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.
Answer:
Y= 1/2x+2
Step-by-step explanation: