Which of the following linear relationships has a gradient of 5?

If f(x) = 2x and g(x)=1/X<br> what is the domain of (fºg)(x)?

Firlakuza [10]

Answer:

(f*g) (x) simply means we obtain the product of f(x) and g(x). We are given that;

f(x)=2x

g(x)= 1/x

(f*g) (x) = f(x) * g(x)

(f*g) (x) = 2x * 1/x = 2

This is a horizontal line defined everywhere on the real line. The domain of (f*g) (x) is thus ( -∞, ∞)

Step-by-step explanation:

,

6 0

3 years ago

A textbook has 500 pages on which typographical errors could occur. Suppose that there are exactly 10 such errors randomly locat

DiKsa [7]

Answer:

The probability of a selection of 50 pages will contain no errors is 0.368

The probability that the selection of the random pages will contain at least two errors is 0.2644

Step-by-step explanation:

From the information given:

Let q represent the no of typographical errors.

Suppose that there are exactly 10 such errors randomly located on a textbook of 500 pages. Let $\mu$ be the random variable that follows a Poisson distribution, then mean $\mu = \dfrac{10}{500}= 0.02$

and the mean that the random selection of 50 pages will contain no error is $\lambda = 50 \times 0.02 =1$

∴

$Pr(q= 0) = \dfrac{e^{-1} (1)^0}{0!}$

Pr(q =0) = 0.368

The probability of a selection of 50 pages will contain no errors is 0.368

The probability that 50 randomly page contains at least 2 errors is computed as follows:

P(X ≥ 2) = 1 - P( X < 2)

P(X ≥ 2) = 1 - [ P(X = 0) + P (X =1 )] since it is less than 2

$P(X \geq 2) = 1 - [ \dfrac{e^{-1} 1^0}{0!} +\dfrac{e^{-1} 1^1}{1!} ]$

$P(X \geq 2) = 1 - [0.3678 +0.3678]$

$P(X \geq 2) = 1 -0.7356$

P(X ≥ 2) = 0.2644

The probability that the selection of the random pages will contain at least two errors is 0.2644

6 0

4 years ago

Someone please help me

iogann1982 [59]

The correct answer is: [B]: " 9.6 cm " .
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Explanation:
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Let "FH" = "x" ; for which we wish to solve.

45 cm / 12 cm = 36 cm / "x" (in "cm") ;

To solve for "x" ;

Cross--multiply:

Note: Given:

" $\frac{a}{b} = \frac{c}{d}$ " ; " ad = bc " ; (b ≠ 0 ; d ≠ 0) ;

So: " 45x = 12 * 36 " ;

→ 45x = 432 ;

Divide each side of the equation by "45" ;
to isolate "x" on one side of the equation; & to solve for "x" ;

→ 45x / 45 = 432 / 45 ;

→ x = 9.6 cm ;
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→ which corresponds with:
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→ Answer choice: [B]: " 9.6 cm " .
___________________________________________________________

Hope this answer — and explanation — helps!
Best wishes in your academic pursuits!
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8 0

4 years ago

Add my Discord so we can be besties: BeepBoop #0214 12-14 only please!!

Tanya [424]

Answer: okay sir

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A fast-food restaurant has a cost of production C(x)=12x+114 and a revenue function R(x)=6x. When does the company start to turn

LekaFEV [45]

Step-by-step explanation:

Given data

C(x)=12x+114

R(x)=6x.

The company will start to run on profit just when revenue equals the production cost, that is

C(x)=R(x)

equating the two expressions we have

12x+114=6x

solving for x we have

12x-6x+114=0

6x+114=0

6x=-114

x=-114/6

x=-19

Hence the company will start to run on proft when they start to produce above 19 items

7 0

4 years ago