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Alex73 [517]
2 years ago
10

Function g is defined as g(x) = k f(x). What is the value of k? What is the value of k?

Mathematics
1 answer:
iris [78.8K]2 years ago
5 0

Answer: Pick an x value like x = 2

Note that f(2) = 1 and g(2) = 2. This shows we've doubled the f(x) value to get g(x). Therefore k = 2.

Or you could pick on x = 4 to see f(4) = 2 and g(4) = 4. The output of f(x) has been doubled as well.

It doesn't matter what x is since we'll have this doubling effect go on. I recommend picking x values where the points on the blue graph land perfectly on a grid location. Something like x = 5 seems a bit tricky.

:

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Leni [432]

Answer:

315

Step-by-step explanation:

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Gwar [14]

Answer:

4 ther are 4 line symmetery

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The amount of money spent on textbooks per year for students is approximately normal.
Ostrovityanka [42]

Answer:a

a

   336.04    <  \mu < 443.96

b

  The  margin of error will increase

c

The  margin of error will decreases

d

The 99% confidence interval is  0.4107 <  p  < 0.4293

Step-by-step explanation:

From the question we are  told that

   The sample size  n =  19

    The sample mean is  \= x  = \$\  390

    The  standard deviation is  \sigma =  \$ \  120

 

Given that the confidence level is  95% then the level of significance is mathematically represented as

           \alpha = 100 -  95

          \alpha  =  5 \%

          \alpha  =  0.05

Next we obtain the critical value of \frac{\alpha }{2} from the normal distribution table

    So  

         Z_{\frac{\alpha }{2} } =  1.96

The  margin of error is mathematically represented as

      E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma}{\sqrt{n} }

=>    E = 1.96 *  \frac{120}{\sqrt{19} }

=>   E = 53.96

The 95% confidence interval is  

     \= x  -  E  <  \mu < \= x  +  E

=>   390  -   53.96   <  \mu < 390  -   53.96

=>  336.04    <  \mu < 443.96

When the confidence level increases the Z_{\frac{\alpha }{2} } also increases which increases the margin of error hence the confidence level becomes wider

Generally the sample size mathematically varies with margin of error as follows

         n  \  \ \alpha  \ \  \frac{1}{E^2 }

So if the sample size increases the margin of error decrease

The  sample proportion is mathematically represented as

       \r p  =  \frac{210}{500}

       \r p  = 0.42

Given that the confidence level is 0.99 the level of significance is  \alpha =  0.01

The critical value of \frac{\alpha }{2} from the normal distribution table is  

      Z_{\frac{\alpha }{2} }  =  2.58

  Generally the margin of error is mathematically represented as

       E =  Z_{\frac{\alpha }{2} }*  \sqrt{ \frac{\r p (1- \r p )}{n} }

=>   E =  0.42 *  \sqrt{ \frac{0.42 (1- 0.42 )}{ 500} }

=>     E =  0.0093

The 99% confidence interval  is

     \r p  -  E <  p  < \r p  +  E

     0.42  -  0.0093 <  p  < 0.42  +  0.0093

     0.4107 <  p  < 0.4293

 

4 0
4 years ago
A home improvement store rents vacuums at $45 for the first day and $22 for each day thereafter. If y represents the total cost
Gwar [14]

Answer with explanation:

Amount charged by Home Improvement Store for first day=$ 45

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x=Number of days Rented

Writing the above statement in terms of function

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→→Total amount charged(y)=45+22x-22

→→→y=22x+23

is, the required function.

7 0
3 years ago
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Y = –x + 4 in standard form
kompoz [17]

Answer:

x-y=4

Step-by-step explanation:

y=x−4

The standard form of a linear equation is

Ax+By=C.

Rewrite the equation with the sides flipped.

x−4=y

Move all terms containing variables to the left side of the equation.

Tap for more steps...

x−y−4=0 Add 4

to both sides of the equation.

x−y=4

(hope this helps can i plz have brainlist :D hehe)

7 0
3 years ago
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