Step-by-step explanation:
f(x) = 4x + 1
g(x) = x² - 5
(f+g)(x) = f(x) + g(x)
= (4x + 1) + (x² - 5)
= x² + 4x + (1 - 5)
= x² + 4x - 4
Option → C
Answer:
A(h) = h²/2 - 6*h + 10
Step-by-step explanation:
The garden is rectangular, and area of a rectangle is:
A(r) = L*w
Where L is the length and w is the width of the rectangle
Now if we call "h" the length of the house, we have the following expressions
L = h - 2 and
w = h/2 - 5
The expression for the area f the ectangle as a function of the length of the house is:
A(h) = ( h - 2 )* ( h/2 -5 )
A(h) = h²/2 - 5*h - h + 10
A(h) = h²/2 - 6*h + 10
Answer:
The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
10% of all resistors having a resistance exceeding 10.634 ohms
This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.




5% having a resistance smaller than 9.7565 ohms.
This means that when X = 9.7565, Z has a pvalue of 0.05. So when X = 9.7565, Z = -1.96.




We also have that:

So





The mean is

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.
Answer:
D
Step-by-step explanation:

