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

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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".

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 thatNow 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: