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3 years ago

What is 4x+2y=16 in function form

Mathematics

1 answer:

zaharov [31]3 years ago

6 0

Answer:

$f(x)=-2x+8$

Step-by-step explanation:

we have

$4x+2y=16$

Solve for y

That means ----> isolate the variable y

Subtract 4x both sides

$2y=-4x+16$

Divide by 2 both sides

$y=-2x+8$

Convert in function form

Let

$f(x)=y$

$f(x)=-2x+8$

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Suppose the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars

GuDViN [60]

Answer:

Probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.

Step-by-step explanation:

We are given that the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars. Also, incomes for the industry are distributed normally.

Let X = incomes for the industry

So, X ~ N( $\mu=95,\sigma^{2}=5^{2}$ )

Now, the z score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean income of firms in the industry = 95 million dollars

$\sigma$ = standard deviation = 5 million dollars

So, probability that a randomly selected firm will earn less than 100 million dollars is given by = P(X < 100 million dollars)

P(X < 100) = P( $\frac{X-\mu}{\sigma}$ < $\frac{100-95}{5}$ ) = P(Z < 1) = 0.8413 {using z table]

Therefore, probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.

5 0

3 years ago

–4b + 8c + 12 – 8b – 2c + 6

sertanlavr [38]

Answer:

-24

Step-by-step explanation:

-4-8= -12

8-2=6

12+6=18

-12b+6c+18

Greatest common factor = 6

-12/6=-2

6/6=1

18/6=3

D 6(-2b+1c+3)

-12(2)+6(-3)+18

-24+(-18)+18

-42+18= -24

-24

7 0

3 years ago

Read 2 more answers

Help 16-18 thank you

saw5 [17]

Answer:

16. (80)(60) = 4800

17. (500)(600) = 300000

18. (700)(800) = 560000 a). high

Step-by-step explanation:

5 0

3 years ago

Evaluate the expression when a=3 2a=

BaLLatris [955]

Answer:

6 is ur answer hope it help u 

lol :)

☃️✌

Merry christmas~

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3 years ago

Find the value of 3x

Anni [7]

Answer:

270

Step-by-step explanation:

Since you have the value of x as 90

3x=3*90

3x=270

5 0

3 years ago