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mixer [17]
3 years ago
10

Poker is a card played with a standard 52 card playing deck. We draw one card at a time without replacement from the top of a sh

uffled standard poker deck and stop when we draw an ace. Let X be the number of cards we have drawn. What is P( X = 5 ) ? Round to two decim
Mathematics
1 answer:
zzz [600]3 years ago
8 0

Answer:

0.0599

Step-by-step explanation:

There are four aces in a standard 52-card deck. If X=5, the first ace must be drawn exactly at the fifth pick, which means that the probability of X=5 is the probability of not getting an ace in the first four picks and getting an ace in the fifth pick:

P(X=5)=\frac{48}{52}* \frac{47}{51}* \frac{46}{50}* \frac{45}{49}*\frac{4}{48}\\  P(X=5) =0.0599

The probability that X=5 is 0.0599

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What is the point slope form of Y=1/2X-2
vagabundo [1.1K]
Point-slope form of a line: We need a point (x₀,y₀) and the slope "m";
y-y₀=m(x-x₀)

We have the next equation of line:
y=1/2 x-2  (slope-intercept form y=mx+b)

the slope of this line is 1/2  (m=1/2)
And any one point could be:
if x=0; then y=1/2 (0)-2=-2  (0,-2)

Therefore, we already have the point (0-,2) and the slope (m=1/2)
y-y₀=m(x-x₀)
y+2=1/2(x-0)

Answer: the point slope form of y=1/2 x-2; would be:
y+2=1/2(x-0)
8 0
3 years ago
What are the coordinates for (6,5) and hypotenuse 3.
galina1969 [7]

Answer:

the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.

Step-by-step explanation:

4 0
2 years ago
Of the smoothies sold yesterday at Marlins smoothie shop, 5/6 were banana and another 1/12 were strawberry . What fraction of th
professor190 [17]

Answer:

The fraction of smoothies sold were either banana or strawberry is  \frac{11}{12}.

Step-by-step explanation:

Given:

Of the smoothies sold yesterday at Marlins smoothie shop, 5/6 were banana and another 1/12 were strawberry.

Now, to find the fraction of the smoothies sold were either banana or strawberry.

Fraction of smoothie were of banana = \frac{5}{6} .

Fraction of smoothie were of strawberry = \frac{1}{12} .

Now, to get the fraction smoothies sold were either banana or strawberry by adding both the fractions of banana and strawberry:

\frac{5}{6} +\frac{1}{12} \\\\=\frac{10+1}{12} \\\\=\frac{11}{12}

Therefore, the fraction of smoothies sold were either banana or strawberry is  \frac{11}{12}.

7 0
3 years ago
When x=8 y=20. What is y when x=42?
Sergeu [11.5K]
If you would like to know what is y when x = 42, you can calculate this using the following steps:

x = 8 ... y = 20
x = 42 ... y = ? 

8 * y = 20 * 42      /8
y = 20 * 42 / 8
y = 105

The correct result would be: y = 105 when x = 42.
3 0
3 years ago
Read 2 more answers
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that
Allushta [10]

Answer:

The general term for the sequence can be given by the following formula:

a_n=2\,n+9

Step-by-step explanation:

If the sequence you typed starts with first term 11 and continues with terms 13, 15, 17, 19, We understand that the sequence is formed by adding 2 units to the previous term. So we are in the case of an arithmetic sequence with constant difference (d) = 2, and with first term 11.

Therefore, the nth term of this arithmetic sequence can be expressed by using the general form for an arithmetic sequence as:

a_n=a_1\,+\,(n-1)\,d\\a_n=11\,+\,(n-1)\,2\\a_n=11+2\,n-2\\a_n=2\,n+9

5 0
3 years ago
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