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3 years ago

PLEASE HELP MEEEEE

Mathematics

1 answer:

Elena-2011 [213]3 years ago

5 0

Answer:

a = 36 and a = 27

Step-by-step explanation:

The geometric mean of two numbers is the square root of the product of the two numbers.

Say for example we have the numbers x and y, the geometric mean z is mathematically;

z = √xy

For the first question, our z is 12, x and y are 4 and a respectively.

12 = √4a

square both sides

144 = 4a

a = 144/4

a = 36

For the second question

z is 9, x and y are 3 and a respectively

9 = √3a

square both sides

81 = 3a

a = 81/3

a = 27

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Step-by-step explanation:

From the question we are told that

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3 years ago

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Kaylis [27]

Answer:

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3 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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3 years ago