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alexandr402 [8]

4 years ago

14

Two cards are drawn at random from a standard deck of 52 cards, without replacement. What is the probability that both cards dra

wn are hearts? (There are 13 hearts in a standard deck of cards.)

1 answer:

Anna [14]4 years ago

4 0

13 hearts in deck, minus 2 drawn = 11. Would be 11/52.

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The population of a city is 50,000. It is increasing at an annual rate of 3%. What is the

vlada-n [284]

The population will be 56,275 people.
You can see the picture for the formula.

3 0

3 years ago

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Solve by elimination 3×+11y=4,-2×-6y=0

gizmo_the_mogwai [7]

3x + 11y = 4

2x + 6y = 0

I got
15/2, -5/4

6 0

3 years ago

A spherical balloon is inflating with helium at a rate of 64 pi StartFraction ft cubed Over min EndFraction . How fast is the b

olga2289 [7]

Answer:

The radius of the balloon is increasing at a rate of 4 feet per minute.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}$

Volume of sphere is given by

$V = \dfrac{4}{3}\pi r^3$

where r is the radius of the balloon.

Instant radius, r = 2 ft

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}$

Putting values, we get,

$64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4$

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5 0

3 years ago

Simplify the square root of 27 over 12

Hunter-Best [27]

$\sqrt{ \frac{27}{12} }$

${ \frac{ \sqrt{27} {} }{ \sqrt{12}}$

$\frac{ \sqrt{9 * 3} }{ \sqrt{4 * 3} }$

$\frac{ \sqrt{9} \sqrt{3} }{ \sqrt{4} \sqrt{3} }$

$\frac{3 \sqrt{3} }{2 \sqrt{3} }$

$\frac{3}{2}$

$1 \frac{1}{2}$

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4 years ago

Fourteen less than three times a number is equal to 40. Find the number.

grin007 [14]

18.

18 x 3 - 14 = 40
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........

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4 years ago

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