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2 years ago

Compute the probability of drawing two spades from a deck of cards

Mathematics

1 answer:

melomori [17]2 years ago

6 0

Answer:

The probability of drawing two spades is 3/51. Hope this helps!!

Step-by-step explanation:

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" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a

ASHA 777 [7]

Answer:

No, the cone will not hold all of the ice cream.

Step-by-step explanation:

Given:

" According to the Joy Cone Company, their waffle cones have a diameter of 2 5/8 inches and a height of 6 inches.

If you place one scoops of ice cream (in the shape of a sphere) with a diameter of 2 7/8 inches would let it melt.

Now, to explain mathematically will the cone hold all of the ice cream.

Taking the value of π = 3.14.

So, to get the volume of waffle cone we put formula:

Height (h) = 6 inches.

Diameter = $2\frac{5}{8}=\frac{21}{8}\ inches.$

Thus radius (r) = Diameter ÷ 2 = $\frac{\frac{21}{8}}{2} =\frac{21}{16} \ inches.$

$Volume=\pi r^2\frac{h}{3}$

$Volume=3.14\times \frac{21}{16} \times \frac{21}{16} \times \frac{6}{3}$

$Volume=3.14\times 1.31\times 1.31\times 2$

$Volume=10.78\ inches^3.$

The volume of waffle cone = 10.78 inches³.

Now, to get the volume of scoop which is in the shape of sphere we put formula:

Diameter = $2\frac{7}{8} =\frac{23}{8} \ inches.$

Thus radius (r) = Diameter ÷ 2 $=\frac{\frac{23}{8}}{2} =\frac{23}{16} \ inches.$

$Volume = \frac{4}{3} \pi r^3$

$Volume = \frac{4}{3} \times 3.14\times \frac{23}{16} \times \frac{23}{16} \times \frac{23}{16}$

$Volume=1.33\times 3.14\times 1.44\times 1.44\times 1.44$

$Volume=12.47\ inches^3.$

The volume of one scoop of ice cream = 12.47 inches³.

So, as the volume of scoop of ice cream is more than the volume of cone.

Thus, if placing one scoop of ice cream in the cone and let it melt, the cone will not hold all of the ice cream.

Therefore, no the cone will not hold all of the ice cream.

5 0

2 years ago

Find the Zeros: 0=2(x+2)^2-5

Ilia_Sergeevich [38]

Answer:

no solution

Step-by-step explanation:

5 0

2 years ago

>>>>>>>>> Use graphs and tables to find the limit and identify any vertical asymptotes of the functio

Fiesta28 [93]

Answer:

Step-by-step explanation:

as you can see something amazing happens in 10 in this function . If you replace x with 10 you get 1/0 wich an indetermined form in Mathematics.

Now we are sure that there is a vertical asymptote in 10. Let's see identify the limit in the left of 10.

let's assign some values to x that are smaller than 10.

1. x=9

1/(9-10)= -1

a negative value

2. x=8

1/(8-10)= -1/2

a negative value

let try a reallu colse value to 10 like 9.99

1/(9.99-10)=-100

a negative value

so we can deduce that the limit is -∞

lim [1/(x-10)]=-∞

x→10-

7 0

2 years ago

I’m very confused can someone help me o

bazaltina [42]

Units. I believe have an amazing day you amazing person

4 0

2 years ago

Factor 125x^3-1000. Show your work.

Salsk061 [2.6K]

The left term is (5x)³.

The right term is 10³.

So, you can use the formula for the factorization of the difference of cubes.

... a³ - b³ = (a-b)(a² +ab +b²)

Here, you have a=5x, b=10, so the factorization is

... 125x³ -1000 = (5x-10)(25x² +50x +100)

4 0

2 years ago