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anzhelika [568]
3 years ago
11

1 point

Mathematics
1 answer:
s2008m [1.1K]3 years ago
6 0

Answer:

i do not know

Step-by-step explanation:

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What is 5/8x + 1/5x = 99
Pani-rosa [81]

x = 120

Too long to exaplin.

Just trust me

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4 years ago
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Find the general solution of the given differential equation. cos^2(x)sin(x)dy/dx+(cos^3(x))y=1 g
eimsori [14]

If the given differential equation is

\cos^2(x) \sin(x) \dfrac{dy}{dx} + \cos^3(x) y = 1

then multiply both sides by \frac1{\cos^2(x)} :

\sin(x) \dfrac{dy}{dx} + \cos(x) y = \sec^2(x)

The left side is the derivative of a product,

\dfrac{d}{dx}\left[\sin(x)y\right] = \sec^2(x)

Integrate both sides with respect to x, recalling that \frac{d}{dx}\tan(x) = \sec^2(x) :

\displaystyle \int \frac{d}{dx}\left[\sin(x)y\right] \, dx = \int \sec^2(x) \, dx

\sin(x) y = \tan(x) + C

Solve for y :

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7 0
2 years ago
A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting a red face card
timama [110]
<h3>The probability of picking a red face card from the deck  is (\frac{3}{26} )</h3><h3>The probability of NOT picking a red face card from the deck  is (\frac{23}{26} )</h3>

Step-by-step explanation:

The total number of cards in the deck  = 52

The total number of red( Diamond + Hearts)  face cards in the given deck

= 2 Red Queens +  2 Red jacks + 2 Red kings  = 6 cards

Let E : Event of picking a red face card from the deck

Now , P( any event)  = \frac{\textrm{The number of favorable observations}}{\textrm{Total number of observations}}

So, here P(Picking a red face card)  = \frac{\textrm{The number of red face cards}}{\textrm{Total number of cards}} =  (\frac{6}{52} ) = (\frac{3}{26})

Hence, the probability of picking a red face card from the deck  is (\frac{3}{26} )

Now, as we know P (any event NOT A)  = 1 - P(any event A)

So, P(NOT Picking a red face card) = 1 - P(Picking a red face card)

= 1 - (\frac{3}{26} ) = \frac{26-3}{26}  = (\frac{23}{26})

Hence,  the probability of NOT picking a red face card from the deck  is (\frac{23}{26} )

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