It is offered that f(x) = 4x - 5 and also g(x) = 6x - 3. Calculate the difference in between f(x) and g(x) as follows.
f(x) - g(x)
= 4x - 5 - 1 × (6x - 3) → making use of distributive residential property A × (B - C)
= 4x - 5 - 6x + 3
= -2x -2
Thus, f(x) - g(x) = -2x -2.
You are watching: Let f(x) = 4x - 5 and g(x) = 6x - 3. find f(x) - g(x).
A human 6 feet tall standing 18 feet far from a lamppost casts a 9 foot shadow. When the same human moves 4 feet aside from that from
12 feet 8 inch long cast a shadow
A human 6 feet tall standing 18 feet far a lamppost cast a 9 foot shadow.
than move 4 feet than complete distance is 22 feet
According come trigonometry preeminence make 30 level angle
See more: Watch Ps I Love You Online Free, Ps I Love You
Suppose that the researchers want to calculation the typical reaction time to within 6 msec through 95% confidence. Using the sample st
a) The 95% confidence interval would be offered by (509.592;550.308)
b) n=523 rounded up to the nearest integer
A confidence interval is "a selection of worths that’s most likely to encompass a populace value v a certain degree of confidence. It is often expressed a % by which a population method lies between an upper and lower interval".
The margin the error is the variety of values listed below and over the sample statistic in a trust interval.
Normal distribution, is a "probability circulation that is symmetric about the mean, showing that data close to the average are much more frequent in incident than data far from the mean".
s=70 stand for the sample typical deviation
n=48 stand for the sample size (variable of interest)
Confidence =95% or 0.995
The to trust interval because that the typical is offered by the adhering to formula:
The levels of freedom are df=n-1=48-1=47
Since the confidence is 0.95 or 95%, the value of
Now us have everything in order come replace right into formula (1):
So top top this situation the 95% to trust interval would be offered by (509.592;550.308)
The margin the error is given by this formula:
And top top this situation we have actually that ME =6msec, and also we room interested in bespeak to uncover the value of n, if we fix n native equation (a) us got:
The crucial value for 95% of to trust interval is provided,