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zaharov [31]
3 years ago
6

The Super Lotto Plus game consists of a player selecting five different numbers from 1 to 47 and a mega number from 1 to 27 (the

order is unimportant and the mega number need not be different from the other numbers). (11) What is the probability of all five numbers and the mega number matching the winning numbers
Mathematics
1 answer:
Gnesinka [82]3 years ago
7 0

Answer:

1/41416353 probability of all five numbers and the mega number matching the winning numbers

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Probability of the five numbers matching:

Desired outcomes: 1 -> the matching numbers

Total outcomes: 5 from a set of 47. So

T = C_{47,5} = \frac{47!}{5!(47-5)!} = 1533939

Probability:

p_{S} = \frac{1}{1533939}

Probability of the mega number matching:

1 from a set of 27. So

p_M = \frac{1}{27}

Probability of both matching:

Independent events, so we multiply the probabilities:

p = p_S*p_M = \frac{1}{1533939}*\frac{1}{27} = \frac{1}{41416353}

1/41416353 probability of all five numbers and the mega number matching the winning numbers

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8 0
3 years ago
Mia is standing 210 yd from a radio tower.
Artyom0805 [142]

height = tan(11) x 210

height = 40.81 yards

 rounded to nearest tenth = 40.8 yards

4 0
3 years ago
Read 2 more answers
10x^3 y^-5 z^-2 if x=3 y=2 and z=5 express your answer as a reduced fraction
sineoko [7]

Answer:

\large\boxed{\dfrac{27}{80}}

Step-by-step explanation:

Put x = 3, y = 2 and z = 5 to the given expression 10x^3y^{-5}z^{-2}:

10(3^3)(2^{-5})(5^{-2})\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{10(27)}{(2^5)(5^2)}=\dfrac{270}{(32)(25)}=\dfrac{270}{800}=\dfrac{27}{80}

7 0
3 years ago
Identify the factor terms by grouping: 5x3 – 4x2 + 20x – 16
Elanso [62]
 5x3-4x2-20x+16=0 Three solutions were found : x = 4/5 = 0.800 x = 2 x = -2Reformatting the input :Changes made to your input should not affect the solution:
 (1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).
Step by step solution :Step  1  :Equation at the end of step  1  :  (((5 • (x3)) -  22x2) -  20x) +  16  = 0  Step  2  :Equation at the end of step  2  :  ((5x3 -  22x2) -  20x) +  16  = 0 Step  3  :Checking for a perfect cube : 3.1    5x3-4x2-20x+16  is not a perfect cube 
Trying to factor by pulling out : 3.2      Factoring:  5x3-4x2-20x+16 
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1:  5x3+16 Group 2:  -4x2-20x 
Pull out from each group separately :
Group 1:   (5x3+16) • (1)Group 2:   (x+5) • (-4x)


I hope it helps
8 0
3 years ago
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HELPP HELPP HELPP HELPP HELP PLZ
iogann1982 [59]

Answer:

Volume= 216 cubic yards

Surface area: 276 square yards

Step-by-step explanation:

Find volume of rectangular prism:

V= lxwxh

V= 3x18x4

= 216 cubic yards

Find surface area:

SA= 2 x (front/back area) + 2 x (right/left area) and 2 x ( bottom/top area)

Front and Back Area:

A= l x w

A = 18 x 3

= 54 square yards

Right/ left Area:

4 x 3

= 12 square yards

Top/ Bottom Area:

18 x 4

= 72 square yards

54^2+12^2+72^2

= 108+24+144

=276 square yards

8 0
3 years ago
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