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3 years ago

Simplify (y x y^1/3)^3/2

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

3 0

Answer:

y^2

Step-by-step explanation:

(y x y^1/3)^3/2 would be clearer if written as

(y*y^(1/3))^(3/2).

Because y^a*y^b = y^(a + b), the quantity inside the first set of parentheses becomes

y^(4/3)

and if we apply the power (3/2) to this result, we get:

4 3

(y^(4/3))^(3/2) = y^{ ----- * ----- ) = y^2

3 2

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On a certain math exam, $10\%$ of the students got 70 points, $25\%$ got 80 points, $20\%$ got 85 points, $15\%$ got 90 points,

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2 years ago

A fair four-sided die has two faces numbered 0 and two faces numbered 2. Another fair four-sided die has its faces numbered 0, 1

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The two dice have PMFs

$P(X=x)=\begin{cases}\dfrac12&\text{for }x\in\{0,2\}\\\\0&\text{otherwise}\end{cases}$

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The sum of the two rolls can take on 8 different values:

$W=\begin{cases}0&\text{if }x=0,y=0\\1&\text{if }x=0,y=1\\2&\text{if }x=2,y=0\\3&\text{if }x=2,y=1\\4&\text{if }x=0,y=4\\5&\text{if }x=0,y=5\\6&\text{if }x=2,y=4\\7&\text{if }x=2,y=5\end{cases}$

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4 years ago

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4 years ago

Investigating Hollywood Movies

erik [133]

Answer:

a. Genre with highest mean is drama. Mean is 72.10

B. 10.46 is difference between means of comedy and horror

C. Horror has the lowest minimum value at 25.00

Action and comedy both have the highest maximum value at 93.00

Step-by-step explanation:

First create a table with the data provided like I did in the attachment. It would give a clearer picture of what your answers should be.

1. Which genre has the highest mean score?

From the table, we have the means as:

Action = 58.63

Comedy = 59.11

Drama = 72.10

Horror = 48.65

The genre with the highest score is drama at 72.10

2. Difference in mean score between comedy and horror

Mean of comedy = lc = 59.11

Mean of horror = ly = 48.65

Difference = lc-ly

= 59.11 - 48.65

= 10.46

3. The genre with lowest score is the genre with the lowest minimum value. This genre is horror and the lowest minimum is 25.00

The genre with highest minimum value is that whose maximum value is the highest out of all the genres. Both action and comedy have the highest maximum value at 93.00

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3 years ago