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4 years ago

Plssssss help me with this math pls

Mathematics

1 answer:

sdas [7]4 years ago

4 0

Answer:

The correct answer is A) 4/663.

Step-by-step explanation:

First you find the probability of drawing a queen when drawing a single card from a deck of 52 cards. Since there are 4 queens(the queen of diamond, the queen of hearts, the queen of spades, and the queen of clubs) in a deck of 52 cards, the probability of drawing a queen when drawing a single card from a deck of 52 cards is 4/52.

Next you find the probability of drawing a king when drawing a single card from a deck of 51 cards(since you did not replace the first card you drew). Since there are 4 kings(the king of diamond, the king of hearts, the king of spades, and the king of clubs) in a deck of cards, the probability of drawing a king when drawing a single card from a deck of 51 cards is 4/51.

Then you multiply the two probabilities to determine the probability of drawing a queen then a king. So,

4/52 x 4/51 =

4 x 4/52 x 51 =

16/2652

Finally, simplify the fraction. The greatest number that can go into both the numerator and denominator is 4. So divide both the numerator and denominator by 4. When you do this, you get the following:

16 divided by 4 = 4 as the numerator and

2652 divided by 4 = 663 as denominator.

So, the final answer is 4/663.

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Jarvis invested some money at 6% interest. Jarvis also invested $58 more than 3 times that amount at 9%. How much is invested at

DerKrebs [107]

9514 1404 393

Answer:

$3309 at 6%
$9985 at 9%

Step-by-step explanation:

Let x and y represent amounts invested at 6% and 9%, respectively.

y = 3x +58 . . . . . . . the amount invested at 9%

0.06x +0.09y = 1097.19 . . . . . . total interest earned

Substituting for y, we have ...

0.06x +0.09(3x +58) = 1097.19

0.33x + 5.22 = 1097.19 . . . . . . . . . simplify

0.33x = 1091.97 . . . . . . . . . . . . subtract 5.22

x = 3309 . . . . . . . . . . . . . . . . divide by 0.33

y = 3(3309) +58 = 9985

$3309 is invested at 6%; $9985 is invested at 9%.

8 0

3 years ago

Below is the justification for the formula for area of a circle. Which word, when placed in the blank best completes this argume

mote1985 [20]

Answer:

The correct answer is option A. r

Step-by-step explanation:

From the figure we can see a circle and a parallelogram.

The circle is divided into a small sectors and these sector then arranged into a parallelogram.

The base of the parallelogram is half the circumference.

The height of parallelogram is equal to the radius of the given circle. Here radius is 'r'.

Therefore the correct answer is option A. r

8 0

4 years ago

Read 2 more answers

Sweet t has 2 orange picks for every green pick. if six of the picks are green how many are orange.

klemol [59]

There 12 orange picks because 2 x 6 = 12

3 0

3 years ago

Read 2 more answers

A washer and a dryer cost $572 combined. The washer cost $78 less than the dryer. What is the cost of the dryer?

Anni [7]

Answer:

$325

Step-by-step explanation:

Let the dryer price be x, then the washer price would be x-78

x+x-78 = 572

2x = 650

x = 325

4 0

2 years ago

I would like you to help me with that since I do not understand very well please

JulijaS [17]

When you see the symbol "△", this denotes a triangle. Now combine the symbol with the letters FGH, this becomes △FGH, meaning a triangle FGH, with F, G, and H as the three points.

Now, the symbol "∠" means angle and "m∠" means the measure of an angle. So m∠F means the angle at the point F, m∠G means the angle at the point G, and m∠H means the angle at the point H. (I'll attach a diagram of this triangle).

Now we have to determine m∠H, which is the angle at point H. To do that, we have to find the value of $x$ . To do that, we have to use one of the laws of a triangle, which is:

The sum of angles in a triangle = 180°. This means when we add all the angles in a triangle, it sums up to 180°. Let's do that.

$\angle F + \angle G + \angle H = 180\textdegree \\\angle F = (5x - 6)\textdegree, \angle G = (3x + 16)\textdegree, \angle H = (x + 8)\textdegree \\(5x - 6) + (3x + 16) + (x + 8) = 180\\5x + 3x + x - 6 + 16 + 8 = 180\\9x + 18 = 180\\9x = 180 - 18\\9x = 162\\x = 18\textdegree$

Now that we have found the value of x as 18°, we can substitute its value to determine the angle H.

$m\angle H = (x + 8), x = 18\\m\angle H = 18 + 8\\m\angle H = 26\textdegree$

I hope you understand the explanation.

8 0

3 years ago