3 years ago

Which function is the inverse of f(x) = -5x - 4?

Mathematics

1 answer:

Klio2033 [76]3 years ago

7 0

Answer:

-1/5 x -4/5

Step-by-step explanation:

Rewrite the function as

y = -5x-4

Exchange x and y

x = -5y -4

Solve for y

Add 4 to each side

x+4 = -5y -4+4

x+4 = -5y

Divide each side by -5

(x+4) /-5 = -5y/-5

-x/5 -4/5 =y

The inverse is -1/5 x -4/5

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For which sample size (n) and sample proportion (p) can a normal curve be

Nonamiya [84]

Answer:

Option c.

Step-by-step explanation:

Using the normal curve to approximate a sampling distribution:

For a sample size n and a proportion n, the normal curve can be used if:

$np \geq 10$ and $n(1-p) \geq 10$

Option a:

$np = 35*0.8 = 28 > 10$

$n(1-p) = 35*0.2 = 7 < 10$

So option a cannot be used.

Option b:

$np = 65*0.9 = 58.5 > 10$

$n(1-p) = 65*0.1 = 6.5 < 10$

So option b cannot be used.

Option c:

$np = 65*0.8 = 52 > 10$

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So option c can be used, and is the answer

Option d:

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$n(1-p) = 35*0.1 = 3.5 < 10$

So option d cannot be used.

The answer is given by option c.

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