<img src="https://tex.z-dn.net/?f=%5Csqrt%7B72%7D" id="TexFormula1" title="\sqrt{72}" alt="\sqrt{72}" align="absmiddle" class="l

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WARRIOR [948]

2 years ago

atex-formula">

Mathematics

1 answer:

Makovka662 [10]2 years ago

3 0

$\sqrt{72}=\sqrt{36\cdot2}=\sqrt{36}\cdot\sqrt2=6\sqrt2-irrational\ number\\\\Used\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}$

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PLEASE HELP I NEED AN ANSWER QUICK

juin [17]

Answer:

- first option is incorrect

- second option is correct

- third option is correct

- fourth option is correct

Step-by-step explanation:

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5 0

3 years ago

F ( x ) = 3 x − 12 f(x)= 3x−12

Nina [5.8K]

The inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.

<h3>What is inverse of a function?</h3>

An inverse of a function is a function that serves to replace another function.

That is, if f(x) produces y, then putting y into the inverse of f produces the 0ut-put x .

Thus, an inverse function or an anti function is defined as a function, which can reverse into another function.

The inverse of the given function; f(x)= 3x − 12 is calculated as follows;

y = 3x - 12

replace y with x and x with y as shown below;

x = 3y - 12

now, solve for y

x + 12 = 3y

divide both sides of the equation by 3

x/3 + 12/3 = 3y/3

x/3 + 4 = y

f⁻¹(x) = x/3 + 4

Thus, the inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.

Learn more about inverse of a function here: brainly.com/question/3831584

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The complete question is written below:

find the inverse of the function, f(x) = 3x - 12

8 0

1 year ago

Explain 1/6 + 1/3 = 1/2

kicyunya [14]

ANSWER is correct

Step-by-step explanation:6 goes into 3 evenly multiply oneterm together a common denominator multiply 1 by 2 , get 2 multiply 3 by 2 and get 6 since denominas 2+1=3

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3 years ago

What. is the median of the data set: {24, 31, 12, 38, 12, 15}

maksim [4K]

Answer:

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$7385$

5 0

2 years ago

Vehicles entering an intersection from the east are equally likely to turn left, turn right, or proceed straight ahead. If 50 ve

ira [324]

Answer:

The probability that at least two-third of vehicles in the sample turn is 0.4207.

Step-by-step explanation:

Let X = number of vehicles that turn left or right.

The proportion of the vehicles that turn is, p = 2/3.

The nest n = 50 vehicles entering this intersection from the east, is observed.

Any vehicle taking a turn is independent of others.

The random variable X follows a Binomial distribution with parameters n = 50 and p = 2/3.

But the sample selected is too large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

np ≥ 10
n(1 - p) ≥ 10

Check the conditions as follows:

$np=50\times \frac{2}{3}=33.333>10\\\\n(1-p)=50\times \frac{1}{3}= = 16.667>10$

Thus, a Normal approximation to binomial can be applied.

So, $X\sim N(np, np(1-p))$

Compute the probability that at least two-third of vehicles in the sample turn as follows:

$P(X\geq \frac{2}{3}\times 50)=P(X\geq 33.333)=P(X\geq 34)$

$=P(\frac{X-\mu}{\sigma}>\frac{34-33.333}{\sqrt{50\times \frac{2}{3}\times\frac {1}{3}}})$

$=P(Z>0.20)\\=1-P(Z$

Thus, the probability that at least two-third of vehicles in the sample turn is 0.4207.

6 0

2 years ago