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1 year ago

Simplify: ^6 square root x times ^4 square root y^3

Mathematics

1 answer:

MrRa [10]1 year ago

5 0

The expression $\sqrt[6]{x} \times \sqrt[4]{y^3}$ is an illustration of an algebraic expression

The simplified expression of $\sqrt[6]{x} \times \sqrt[4]{y^3}$ is x^1/6y^3/4

<h3>How to simplify the expression?</h3>

The expression is given as:

$\sqrt[6]{x} \times \sqrt[4]{y^3}$

Rewrite the expressions as exponents

x^1/6 * y^3/4

Multiply the expresions

x^1/6y^3/4

Hence, the simplified expression of $\sqrt[6]{x} \times \sqrt[4]{y^3}$ is x^1/6y^3/4

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2 2/3 multiplied by 5 4/5

grin007 [14]

$2 \frac{2}{3} = \frac{8}{3} 
$
$5 \frac{4}{5} = \frac{29}{5}$
$\frac{8}{3} * \frac{29}{5} =X$
Solve for X. What do you think the answer is based on that?

8 0

3 years ago

Suppose it is known that 60% of radio listeners at a particular college are smokers. A sample of 500 students from the college i

vladimir1956 [14]

Answer:

The probability that at least 280 of these students are smokers is 0.9664.

Step-by-step explanation:

Let the random variable <em>X</em> be defined as the number of students at a particular college who are smokers

The random variable <em>X</em> follows a Binomial distribution with parameters n = 500 and p = 0.60.

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:

1. np ≥ 10

2. n(1 - p) ≥ 10

Check the conditions as follows:

$np=500\times 0.60=300>10\\n(1-p)=500\times(1-0.60)=200>10$

Thus, a Normal approximation to binomial can be applied.

So,

$X\sim N(\mu=600, \sigma=\sqrt{120})$

Compute the probability that at least 280 of these students are smokers as follows:

Apply continuity correction:

P (X ≥ 280) = P (X > 280 + 0.50)

= P (X > 280.50)

$=P(\frac{X-\mu}{\sigma}>\frac{280-300}{\sqrt{120}}\\=P(Z>-1.83)\\=P(Z$

*Use a <em>z</em>-table for the probability.

Thus, the probability that at least 280 of these students are smokers is 0.9664.

8 0

2 years ago

toni bought an old bike for 50$. She fixed it up and sold it for $80. What percent of the original value was toni’s sale price

ikadub [295]

For this case what you must do is the following rule of three:
50 ---> 100
80 ----> x
We clear x:
x = (80/50) * (100)
x = 160%
160-100 = 60%
Answer:
toni added 60% of the original value for his sale price

3 0

2 years ago

Please answer this<br><br><br> will mark brainliest

AlexFokin [52]

Between 2 and 3, should be somewhere before .5

7 0

2 years ago

Find the inverse of the function y = x2 – 12

vivado [14]

Answer: $y=\sqrt{x+12}$

Step-by-step explanation:

I hope you mean y = x² - 12 and not y = 2x - 12.

You switch the y and x variables:

x = y² - 12

And solve for y:

x + 12 = y²

$y=\sqrt{x+12}$

7 0

2 years ago