Answer:
(12.1409, 14.0591
Step-by-step explanation:
Given that Tensile strength tests were performed on two different grades of aluminum spars used in manufacturing the wing of a commercial transport aircraft. From past experience with the spar manufacturing process and the testing procedure, the standard deviations of tensile strengths are assumed to be known.
Group Group One Group Two
Mean 87.600 74.500
SD 1.000 1.500
SEM 0.316 0.433
N 10 12
The mean of Group One minus Group Two equals 13.100
standard error of difference = 0.556
90% confidence interval of this difference:
t = 23.5520
df = 20
Answer:
C
Step-by-step explanation:
Hope it helps!
Answer:
g(x)= 1/4 |x-2| + 1
Step-by-step explanation:
line:
points on same line:
slope based on the points
And the line is moved to the right by 2 units:
So the function becomes:
Considering movement up by 1 unit as well:
This is the final of equation for the line.
Answer:
(9 1/2) * (19 1/4) = 1463/8 = 182 7/8
Step-by-step explanation:
Conversion a mixed number 9 1/2
to a improper fraction: 9 1/2 = 9 1/2
= 9 · 2 + 1/2
= 18 + 1/2
= 19/2
To find a new numerator:
a) Multiply the whole number 9 by the denominator 2. Whole number 9 equally 9 * 2/2
= 18/2
b) Add the answer from previous step 18 to the numerator 1. New numerator is 18 + 1 = 19
c) Write a previous answer (new numerator 19) over the denominator 2.
Nine and one half is nineteen halves
Conversion a mixed number 19 1/4
to a improper fraction: 19 1/4 = 19 1/4
= 19 · 4 + 1/4
= 76 + 1/4
= 77/4
To find new numerator:
a) Multiply the whole number 19 by the denominator 4. Whole number 19 equally 19 * 4/4
= 76/4
b) Add the answer from previous step 76 to the numerator 1. New numerator is 76 + 1 = 77
c) Write a previous answer (new numerator 77) over the denominator 4.
Nineteen and one quarter is seventy-seven quarters
Multiple: 19/2
* 77/4
= 19 · 77/2.4
= 1463/8
f'(x) = - 6
hence f'(1) = - 6
f'(x) = - 6 for all real values of a
