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

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## 12 feet 8 inch long cast a shadow

Step-by-step explanation:

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  or than   rwandachamber.org

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Suppose that the researchers want to calculation the typical reaction time to within 6 msec through 95% confidence. Using the sample st

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a) The 95% confidence interval would be offered by (509.592;550.308)

b) n=523 rounded up to the nearest integer

Step-by-step explanation:

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". stand for the sample typical for the sample population mean

s=70 stand for the sample typical deviation

n=48 stand for the sample size (variable of interest)

Confidence =95% or 0.995

Part a

The to trust interval because that the typical is offered by the adhering to formula: (1)

The levels of freedom are df=n-1=48-1=47

Since the confidence is 0.95 or 95%, the value of and , and we have the right to use excel, a calculator or a table to discover the vital value. The excel command would certainly be: "=-T.INV(0.025,47)".And we check out that 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)

Part b

The margin the error is given by this formula: (a)

Assuming that 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: (b)

The crucial value for 95% of to trust interval is provided, , replacing into formula (b) us got: