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Blizzard [7]
3 years ago
15

PLEASE HELP ME ANSWER NEEDS TO HAVE AN EXPLANATION STEP BY STEP.

Mathematics
1 answer:
viktelen [127]3 years ago
5 0

Step-by-step explanation:

As side of a square is a², so it will be

\tt{(\sqrt{2} - 3 \sqrt{5})^2}

Refer to attachment, the answer is provided.

Hope it helps :)

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PLEASE ANSWER ASAP *picture attached*<br>f(x) = x2 + 1 g(x) = 5 – x
Eva8 [605]

Answer:

x^{2} +x-4

Step-by-step explanation:

To get the answer just subtract f(x) by g(x)

The work is shown below:

(f-g)(x)= f(x)-g(x)\\\\(f-g)(x)= (x^{2} +1)-(5-x)\\\\(f-g)(x)= x^{2} +1-5+x\\\\(f-g)(x)= x^{2} -4+x\\\\(f-g)(x)= x^{2} +x-4\\\\

7 0
3 years ago
What is the Square root of 485?
algol [13]

22.0227155455


Good day!

5 0
3 years ago
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What is Permutations and Combinations?
marissa [1.9K]

Answer:

See below

Step-by-step explanation:

Permutation is to select an object then arrange it and it cares about the orders while Combination is about only selecting an object without caring the orders.

Permutation can be expressed in math as:

\displaystyle{_n P _r = \dfrac{n!}{(n-r)!} \ \ \ (n \geq r) }

where n is a number of total object and r is a number of selected object to arrange. Hence. n cannot be less than r.

Now let's see an example of permutation, suppose we have letter A, B and C. I'd like to know how many ways these words can be arranged:

Since there are 3 letters total and 3 selected letters to arrange then:

\displaystyle{_3 P _3 = \dfrac{3!}{(3-3)!}}\\\\\displaystyle{_3 P _3 = \dfrac{3 \times 2 \times 1}{0!}}\\\\\displaystyle{_3 P _3 = \dfrac{6}{1}}\\\\\displaystyle{_3 P _3 = 6}

Therefore, there are 6 ways to arrange the letters - we can also demonstrate visually:

ABC - 1

ACB - 2

BAC - 3

BCA - 4

CAB - 5

CBA - 6

Notice that if you do visually, you'll get the same answer as the calculation of permutation!

----

Combination can be expressed mathematically as:

\displaystyle{_n C _r = \dfrac{n!}{(n-r)!r!} = \dfrac{_n P _r}{r!} \ \ \ (n \geq r) }

The difference between permutation and combination is that you only find how many ways you can select object in combination. Therefore, no arrange and doesn't care about order, just ways to select.

Suppose we have same 3 letters: A, B and C. I want to find how many ways I can select these 3 letters:

Since there are 3 letters total and 3 selected letters:

\displaystyle{_3 C _3 = \dfrac{3!}{(3-3)!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{0!3!}}\\\\\displaystyle{_3 C _3 = \dfrac{3!}{3!}}\\\\\displaystyle{_3 C _3 = 1}

Hence, there is only one way to select 3 letters. This makes sense because if you have 3 letters then you can only select 3 letters only one way.

5 0
2 years ago
A learner finds a deck of 52 cards and then takes one card from the deck. What is the probability that the card is a king? Write
iVinArrow [24]

Answer:

The odds of choosing a club from a full deck is 13/52, or 1/4. Since there are now only 51 cards and 12 clubs, the odds are 12/51, or .2352

7 0
2 years ago
20 POINTS<br> How do you find the interquartile range
kari74 [83]

Answer:

To find the interquartile range (IQR), ​first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

Step-by-step explanation:

(Khan Academy)

3 0
3 years ago
Read 2 more answers
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