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

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:

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

Probability of the five numbers matching:

Desired outcomes: 1 -> the matching numbers

Total outcomes: 5 from a set of 47. So

Probability:

Probability of the mega number matching:

1 from a set of 27. So

Probability of both matching:

Independent events, so we multiply the probabilities:

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

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

The answer is in the image 

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

The answer is in the image 

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students  

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581