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3 years ago

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It is impossible to get 5 aces when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a probab

ility value between 0 and 1 inclusive. The probability is _____. (Type an integer or a decimal.)

1 answer:

lianna [129]3 years ago

8 0

Answer: P(5A) = 0

Step-by-step explanation:

There are four aces in total in a 52 card deck. Therefore the probability of getting 5 aces can be expressed as;

P(5A) = 4/52 × 3/51 × 2/50 × 1/49 × 0/48 = 0

Therefore, it is impossible to get 5 aces from a standard 52 cards deck

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How to Write twenty-four hundredths as a simplified fraction.

Andrews [41]

Answer:

24/100

=6/25

Step-by-step explanation:

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3 years ago

Find all the critical values

Natalija [7]

y - 3
g(y) = ------------------
y^2 - 3y + 9

To find the c. v., we must differentiate this function g(y) and set the derivative equal to zero:

(y^2 - 3y + 9)(1) - (y - 3)(2y - 3)
g '(y) = --------------------------------------------
(y^2 - 3y + 9)^2

Note carefully: The denom. has no real roots, so division by zero is not going to be an issue here.

Simplifying the denominator of the derivative,

(y^2 - 3y + 9)(1) - (y - 3)(2y - 3) => y^2 - 3y + 9 - [2y^2 - 3y - 6y + 9], or
-y^2 + 6y

Setting this result = to 0 produces the equation y(-y + 6) = 0, so
y = 0 and y = 6. These are your critical values. You may or may not have max or min at one or the other.

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3 years ago

Use scientific notation to estimate the number of inches in 1,225 miles

madam [21]

First, find the number of inches
<span>1225 Miles = 77616000 Inches

then, move the decimal to until you have a ones place. </span>
<span>77616000. the decimal for this number moves to the left SEVEN places.
you end up with 7.7616000
</span>
it will look like this:

7.8 * 10^7

I rounded to the .8 because you didn't state how many significant figures, but it could easily be 7.76 * 10^7

the exponent above the 10 will tell you how many places to move. to get back to your original number, move it back to the right seven places. Of course, you would have to place hold the numbers with 0s. If it were negative, you would move the decimal the opposite way.

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3 years ago

Missing number in the series 9, ____, 6561, 43046721 is: 81 25 62 31 18 9. one number is 2 more than 3 times another. their sum

Nadusha1986 [10]

Alright, lets get started.

Missing number fom the series : 9, ..... , 6561, 43046721

43046721 is square of its previous number 6561, means

$6561^2 = 43046721$

It means the missing number will be square of its previous number

Means $9^2 = 81$ , so missing number is 81. : Answer

Next : one number is 2 more than 3 times another. their sum is 22. find the numbers.

Suppose one number is x and second number is y

As per given equation, $x = 3y + 2$ ......equation (1)

Their sum is 22 means, $x+y = 22$ .......equation (2)

Putting the value of x from equation1 into equation 2

$3y + 2 + y = 22$

$4y + 2 = 22$

Subtracting 2 in both sides

$4y + 2 - 2 = 22 - 2$

$4y = 20$

$y = 5$

$x = 22 - y = 22 - 5 = 17$

Means numbers are 17 and 5. : Answer

Next : the missing number in the series 1, 4, 27,____, 3125 is

1 could be written as 1

4 could be written as $2^2$

27 could be written as $3^3$

So , next number would be $4^4$

$4^4 = 256$

Next one is $5^5 = 3125$

So, the missing number is 256 : Answer

Next : the next number in the series 3, 4, 6, 7, 9, 10 is

After 3,4 (5) is mising, 6, 7 (8) is missing, 9, 10 (11) will be missing

So, next number will be 12. : Answer

Next : a farmer is planting a straight row of crops with 3 feet between each plant. if 23 are planted, what is the distance between the first and last plant?

Between 2 plants, the distance is = $3 * (2-1) = 3$

Between 3 plants, the distance is = $3 * (3-1) = 6$

So, between 23 plants, the distance is = $3 * (23-1) = 3 * 22 = 66$

hene the distance between first and last plant woule be 66 feet. : Answer

7 0

3 years ago

Your answer must be simplified.

JulijaS [17]

Answer:

The simplified form is $x\geq -99$ .

Step-by-step explanation:

Given : Expression $\frac{x}{3}\geq -33$

To find : The simplified expression ?

Solution :

Expression $\frac{x}{3}\geq -33$

Multiply 3 both side,

$\frac{x}{3}\times 3\geq -33\times 3$

$x\geq -99$

Therefore, the simplified form is $x\geq -99$ .

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3 years ago