Answer:
The derivative of the function is 42.
Step-by-step explanation:
The derivative of an addition/subtraction of terms is the addition/subtraction of the derivatives of these terms.
The derivative of a constant is 0. The derivative of 3 is 0, for example.
The derivative of 
is 
. The derivative of 42x is 42, for example.
So, in this question, we have that:
h(x) = 42x-3
h'(x) = 42
So the derivative of the function is 42.
Answer:
18
Step-by-step explanation:
use this formula
A=(a+b
)/2 x h
****
A= (4+8)/2 x 3
A=(12)/2 x 3
A= 6 x 3
A= 18
Answer:
Kindly check explanation
Step-by-step explanation:
Verbal:
Score, x = 560
Mean, m = 460
Standard deviation, s = 132
Quantitative :
Score, x = 740
Mean, m = 452
Standard deviation, s = 140
a)
Verbal :
X ~ N(460, 132)
Quantitative :
X ~ N(452, 140)
(b)
What is her Z score on the Verbal Reasoning section? On the Quantitative Reasoning section? Draw a standard normal distribution curve and mark these two Z scores.
Zscore = (x - m) / s
Verbal :
Zscore = (560 - 460) / 132 = 0.758
Quantitative :
Zscore = (740 - 452) /140 = 2.057
(c.)
He has a higher standardized score in the quantitative than the verbal score.
(d.)
The Zscore shows that he performed better in the quantitative reasoning than verbal.
(e) Find her percentile scores for the two exams.
(f) What percent of the test takers did better than her on the Verbal Reasoning section? On the Quantitative Reasoning section?
Verbal :
Score greater than 560
P(x > 560) :
Z = (560 - 460) / 132 = 0.758
P(Z > 0.758) = 0.22423 = 22.4%
Quantitative :
Score greater than 740
P(x > 740) :
Z = (740 - 452) / 140 = 2.057
P(Z > 0.758) = 0.0198 = 1.98%
Answer:
Step-by-step explanation:
<u>Divide both sides by -2:</u>
<u />
<u />
<u>Divide -20 by -2 = 10</u>
<u />
<u />
<u>Subtract 4 from both sides:</u>
<u />
<u />
<u /><u />
<u>______________________</u>
Answer:
1 yard
Step-by-step explanation:
