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Sonja [21]
3 years ago
15

Suppose James randomly draws a card from a standard deck of 52 cards. He then places it back into the deck and draws a second ca

rd. A standard deck of cards contains four suits: clubs, diamonds, hearts, and spades. There are 13 cards in each suit, which includes three face cards: jack, queen, and king. What is the probability that James draws a queen card as the first card and a diamond card as the second card? Express your answer as a percentage precise to two decimal places.
Mathematics
1 answer:
qwelly [4]3 years ago
7 0

Answer:

1.92%

Step-by-step explanation:

The probability for first case, picking a queen out of deck, will be:

\frac{4}{52}

as there will be 4 queens in a deck, one of each suit.

For the second pick, the probability of picking a diamond card, will be:

\frac{13}{52}

here the total will remain 52 as he has replaced the first card and not kept it aside and there will be 13 cards in diamond suit (including the three face cards).

Thus the net probability for both cases will be:

P = \frac{4}{52}  * \frac{13}{52}\\ P = \frac{1}{52}\\ P = 0.01923\\P = 1.923\%\\\\P = 1.92\%

Thus total probability for the combined two cases will be 1.92%

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2 years ago
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Vedmedyk [2.9K]

The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

<h3>What is the area of trapezoid?</h3>

The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.

A=\dfrac{(a+b)h}{2}

Here, (a and b) are the base sides of the trapezoid and (h) is the height.

A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,

A=\dfrac{(a+b)h}{2}\\A=\dfrac{(23+35)28}{2}\\A=812\rm\; ft^2

Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,

C=812×$8.30

C=$6739.6

Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,

A=\dfrac{25}{100}\times812\\A=203\rm\; ft^2

Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

Learn more about the area of trapezoid here;

brainly.com/question/1410008

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4 0
2 years ago
Im dumb so help me out here 50 points each Click on the image to enlarge
antiseptic1488 [7]

Answer:

D

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, that is

∠ 1 + ∠ 2 + ∠ 3 = 180°

Given ∠ 1 + ∠ 2 = 134°, then

134° + ∠ 3 = 180° ( subtract 134° from 180° )

∠ 3 = 46° → D

8 0
3 years ago
Please help me with the question ​
Damm [24]

Answer:

The right answer is Option 2:

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Step-by-step explanation:

Point-slope form of equation of a line is given by:

y-y_1 = m(x-x_1)

Here m is slope of the line and (x1,y1) is the point from which the line passes.

Given

Slope = m = -3/4

Point = (x1,y1) = (2,-6)

We simply have to put these value into the general form of equation of line in point-slope form

y-(-6) = -\frac{3}{4}(x-2)\\y+6 = -\frac{3}{4}(x-2)

Hence,

The right answer is Option 2:

y+6 = -\frac{3}{4}(x-2)

7 0
3 years ago
A triangular prism is shown below. the base of the prism is a right triangle.
Nimfa-mama [501]
The product is 60.

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Subtract 576 from both sides:
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Take the square root of each side:
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Divide both sides by 216:
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This means the product of x and y would be:
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18(10/3)
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60
6 0
3 years ago
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