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Vladimir [108]
2 years ago
11

Find the value of a given

ddle" class="latex-formula">=³√5²
Mathematics
1 answer:
ddd [48]2 years ago
5 0

Answer:

  a = 2/3

Step-by-step explanation:

A cube root is the same as a 1/3 power. The square of that gives a 2/3 power.

  a = 2/3

_____

<em>Additional comment</em>

You can see the relationship between a root index and an exponent if you consider what the root means.

Consider a cube root, for example. When you cube the root, you get the original number:

  (∛x)·(∛x)·(∛x) = x

Now, let's write the root as a power of x: x^a.

  (x^a)·(x^a)·(x^a) = x . . . . . where x^a = ∛x

We know this product is ...

  x^(a+a+a) = x^(3a) = x^1

This tells us that ...

  3a = 1   ⇒   a = 1/3

That is, ∛x = x^(1/3).

Of course an n-th root is multiplied by itself n times to get the original number, so the corresponding exponent is x^(1/n).

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Write an equation, solve and show all work.
AnnZ [28]

Answer:

56.

Step-by-step explanation:

46+10=56

3 0
3 years ago
There are 10 cards. Each card has one number between 1 and 10, so that every number from 1 to 10 appears once.
pychu [463]

Answer:

When a card is chosen at random with replacement five times, X is the number of times a prime number is chosen.          Here the card is chosen with replacement.  This implies probability for choosing a prime number remains the same as the previously drawn card is replaced.

The sample space= {1,2,3,4,5,6,7,8,9,10}

Prime numbers = {2,3,5,7}

Prob for drawing prime number = 4/10 = 0.4

is the same when replacement is done.

Also there are two outcomes either prime or non prime.  Hence in this case, X the no of times a prime number is chosen, is binomial with p =0.4 and q = 0.6 and n=5


When a card is chosen at random without replacement three times, X is the number of times an even number is chosen.

Prob for an even number = 0.5

But after one card drawn say odd number next card has prob for even number as 5/9 hence each draw is not independent of the other.  Hence not binomial.

When a card is chosen at random with replacement six times, X is the number of times a 3 is chosen.

Here since every time replacement is done, probability of drawing a 3 remains constant = 1/10 = 0.3

i.e. each draw is independent of the other and there are only two outcomes , 3 or non 3. Hence here X is binomial.

When a card is chosen at random with replacement multiple times, X is the number of times a card is chosen until a 5 is chosen

Here X is the number of times a card is chosen with replacement till 5 is chosen.  This is not binomial.  Here probability for drawing nth time correct 5 is  P(non 5 in the first n-1 draws)*P(5 in nth draw) = 0.1^(n-1) (0.9)

Because nCr is not appearing i.e. 5 cannot appear in any order but only in the last draw, this is not binomial.

Step-by-step explanation:


6 0
3 years ago
1. Isaac goes to an amusement park where tickets for the rides cost $10 per sheet and tickets for the shows cost $15 each.
Degger [83]
The answers I have gotten are
A- x+y= $25
B- $95
7 0
3 years ago
What is the slope of this? HELP PLS
Levart [38]

Answer:

4/5

Step-by-step explanation:

rise over run boi or gerl

7 0
3 years ago
Read 2 more answers
Pls need help immediately, nd can can u explain it too
tigry1 [53]
The answer is 18...
(3 / 8 ) * 48 = 18
3 0
3 years ago
Read 2 more answers
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