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timama [110]
2 years ago
15

A standard deck of playing cards contains 52 cards, equally divided among four suits (hearts, diamonds, clubs, and spades). Each

suit has the cards 2 through 10, as well as a jack, a queen, a king, and an ace.
If the 3 of spades card is drawn from a standard deck and is not replaced, what is the probability that the next card drawn is a spade OR a king?
Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
3 0
The order does not matter, so we will be using combinations here. 52C1 is the first one since there is only one possibility. 16C1 is the second. You have to multiply these two, so 52 X 16 = 832.
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6. It took Todd 9 hours to paint 4 rooms.
Afina-wow [57]

Answer:

5 rooms

Step-by-step explanation:

4 rooms = 9 hours

9 hours = 540 minutes

1 room = 540 ÷ 4 = 135 minutes

60 x 12 = 720 minutes (12 hours)

720 ÷ 135 = 5.33333

5.3333 estimated to nearest whole number = 5

3 0
2 years ago
Pls, help me with this math question
olya-2409 [2.1K]

Answer:

Perimeter \sqrt{26}+\sqrt{5}+\sqrt{10}+\sqrt{17} units.  Area 12 square units.

Step-by-step explanation:

Perimeter: total distance around the figure.

Distance Formula:  the distance between points \left(x_1,y_1\right) \text{ and } \left(x_2,y_2\right) is

d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

AB=\sqrt{(6-1)^2+(2-1)^2}=\sqrt{25+1}=\sqrt{26}

BC=\sqrt{(5-6)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5}CD=\sqrt{(2-5)^2+(5-4)^2}=\sqrt{9+1}=\sqrt{10}DA=\sqrt{(1-2)^2+(1-5)^2}=\sqrt{1+16}=\sqrt{17}

The perimeter is the sum of all those segment lengths.

One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area.  (See attached image.)

The area of the large rectangle around the figure is 5 x 4 = 20 square units.

The triangles have areas 1/2 (base) (height):

A. (1/2)(1)(4) = 2 square units

B. (1/2)(3)(1) = 1.5 square units

D. (1/2)(1)(2) = 1 square unit

E. (1/2)(5)(1) = 2.5 square units

Square C.  (1)(1) = 1 square unit

Total of all the area you don't want to include:

2 + 1.5 + 1 + 2.5 + 1 = 8 square units

Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.

4 0
3 years ago
What is t+1/5=t+7/8? What is the value of t? There should be 2 values and the slashes are fractions
muminat
There is NO solution.

Cancel t on both sides (1/5 = 7/8).

Since 1/5 = 7/8, that doesn't make any sense so that is inapplicable ( So NO answer).
4 0
3 years ago
The height of a parallelogram is 5 feet more than it's base. If the area of the parallelogram is 204 square feet, what is its ba
siniylev [52]
The base is x.
The height is 5 feet more than the base, so it's x+5.
The area of a parallelogram is the product of its base and its height. The area is 204 square feet.

x(x+5)=204 \\
x^2+5x=204 \\
x^2+5x-204=0 \\
x^2+17x-12x-204=0 \\
x(x+17)-12(x+17)=0 \\
(x-12)(x+17)=0 \\
x-12=0 \ \lor \ x+17=0 \\
x=12 \ \lor \ x=-17

The length of the base of a parallelogram must be a positive number, so x=12.

\hbox{the base:} \\ x=12 \\ \\
\hbox{the height:} \\ x+5=12+5=17

The base is 12 feet long, the height is 17 feet long.
8 0
2 years ago
Estimate a 25% tip on a bill of $61.77 by first rounding the bill amount to the nearest ten dollars
Nonamiya [84]

Answer:

total bill amount + tip = $77.21

Step-by-step explanation:

8 0
2 years ago
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