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1 year ago

Can you please help me out with a question

Mathematics

1 answer:

dlinn [17]1 year ago

4 0

ANSWER:

The answer is 30.77%

STEP-BY-STEP EXPLANATION:

The probability would be the number of cards that meet the conditions divided by the total number of cards.

The pack of cards is a “Standard Pack", that is it has 4 suits (Diamonds, Hearts, Spades, Clubs), and cards Ace, 2 to 10 inclusive in each suit and Jack, Queen and King in each suit, giving a total of 52 cards.

There are 3 Face Cards in each suit (Jack, Queen, King)

Therefore there are 3 Face Cards in each suit in the pack or 3 x 4 (or 12) Face Cards in the pack.

Card 2, there is 4 times one for 4 suit.

Therefore:

$P(\text{face, 2})=\frac{12+4}{52}=\frac{16}{52}=0.3077=30.77\text{\%}$

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A rectangular parcel of land has an area of 3,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o

Kazeer [188]

Answer:

40 ft × 75 ft

Step-by-step explanation:

Let x be the one side ( in feet ) of the rectangular parcel,

So, the diagonal between opposite corners = ( x + 10 ) feet,

Let y be the other side of the rectangle ( adjacent to side x ),

The area of the rectangle,

A = x × y,

According to the question,

A = 3000 square ft,

$\implies xy = 3000\implies y=\frac{3000}{x}$

∵ In a rectangle,

$D^2=a^2+b^2$

Where, a and b are the adjacent side of the rectangle and D is the diagonal,

$(x+10)^2 = x^2 + y^2$

$(x+10)^2 = x^2 + \frac{9000000}{x^2}$

$x^2(x+10)^2 = x^4 + 9000000$

$x^2(x^2+100+20x) = x^4 + 9000000$

$x^4+100x^2 + 20x^3 = x^4 + 9000000$

$20x^3 + 100x^2 - 9000000=0$

$x^3 + 5x^2 - 450000 = 0$

By graphing the equation,

We found that,

The only real zeros of the equation is at x = 75,

Hence, the one side of the rectangle = 75 ft,

And, second side = $\frac{3000}{75}$ = 40 ft

Hence, the dimension of the land is 40 ft × 75 ft

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Answer:

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Answer:

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Step-by-step explanation:

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dexar [7]

6a+16

Explanation:
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6a+16

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3 years ago

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777dan777 [17]

Answers and Step-by-step explanations:

Let's look at the first row:

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The first blank should be the "down payment" because this is the initial, constant value that is paid. The second blank should be the "number of months" because this way, when multiplied by the actual amount each payment is (monthly payment), then we get the total amount paid during those months.

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