The probability that the winning three numbers match the date on any given day is the likelihood of the winning number
The probability that the winning three numbers match the date on any given day is 0.001The probability that a whole year passes without this happening is 0.7407The probability that the date and winning lottery number match at least once during any year is 0.2593The probability that at least one of them will come up 1-1-4 on January 14 is 0.0267The probability that the winning three numbers match the date on any given dayStart by calculating the number of possible outcomes
Each of the three digits can take any of 0 - 9 i.e. 10 digits.
So, the number of possible outcomes is:
[tex]n =10^3[/tex]
[tex]n =1000[/tex]
There can be only one winning date.
So, the probability (p) is:
[tex]p = \frac 1n[/tex]
This gives
[tex]p = \frac 1{1000}[/tex]
[tex]p = 0.001[/tex]
Hence, the probability that the winning three numbers match the date on any given day is 0.001
The probability that a whole year passes without this happeningIn a calendar year, there are 65 days, where the whole year passes without matching the winning numbers.
The dates are:
October 10- October 31 (22 days)November 10 - November 30 (21 days)December 10 - December 31 (22 days)This means that the matching numbers can occur on the remaining 300 days.
The probability that the winning date does not occur on a date is calculated using the following complement rule
[tex]p' = 1 - p[/tex]
So, we have:
[tex]p' = 1 - 0.001[/tex]
[tex]p' = 0.999[/tex]
For the 300 days, we have:
[tex]p = 0.999^{300}[/tex]
[tex]p = 0.7407[/tex]
Hence, the probability that a whole year passes without this happening is 0.7407
The probability that the date and winning lottery number match at least once during any yearThis is calculated using the following complement rule
[tex]p' = 1 - p[/tex]
So, we have:
[tex]p' = 1 - 0.7407[/tex]
[tex]p' = 0.2593[/tex]
Hence, the probability that the date and winning lottery number match at least once during any year is 0.2593
The probability that at least one of them will come up 1-1-4 on January 14In (b), we have:
[tex]p' = 0.999[/tex]
So, the probability is calculated as:
[tex]p =1 - (p')^n[/tex]
Where n is the number of states i.e. n = 27.
So, we have:
[tex]p = 1 - 0.999^{27}[/tex]
[tex]p = 0.0267[/tex]
Hence, the probability that at least one of them will come up 1-1-4 on January 14 is 0.0267
Read more about probability at:
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REALLY NEED HELP PLEASE!!!!!!
Decide if the situation involves permutations, combinations, or neither. Explain your reasoning.
The number of ways in which 10 contestants in a talent competition can finish
Answer:
Permutation
Step-by-step explanation:
Permutations are for lists (order matters) and combinations are for groups (order doesn’t matter).
So this would be a permutation because it matters which order the contestants finish.
Find the cube of 6
please tell me cube of 6
Answer:
6^3 = 216 ( to the power of three )
Answer:
here's your answer
cube of 6 is 216
please mark me as brainliest
What is the second number of an ordered pair called
The second number in the ordered pair is the y coordinate.
The second value of an ordered pair is the y-value.
It signifies how far above (or below) the x axis o (horizontal axis) that a point is. If the y value is positive, then the point is above the x-axis, but if it is negative it is below the x axis (when it's 0, the point is on the x-axis)
**NOTE** the x and y axes are on the Cartesian plane
Plsss help me rn What is 100+3+200+7
Answer:
310
Step-by-step explanation:
100+3=103
103+200=303
303+7=10
(2-8j)(5+6j)
please help answer this
Answer:
-48j²-28j+10
Step-by-step explanation:
Multiple each term in the first parentheses by each term in the second parentheses (FOIL)
2×5 + 2×6j - 8j×5 - 8j×6j
Multiple the numbers
=10 + 2 × 6j - 8j × 5 - 8j × 6j
=10 + 12j - 8j × 5 - 8j × 6j
=10 + 12j - 40j - 8j × 6j
= 10 + 12j - 40j - 48j²
Collect like terms
10 - 28j - 48j²
Reorder the terms using the commutative property
-48j² - 28j + 10
Hope this was timely!
Have a great week (or weekend)…!
;-)
As part of a survey, 75 people were asked to name their favorite sport. The results showed that 25 of the people named basketball as their favorite sport. What percentage of the people in the survey named basketball as their favorite sport? Please help :p
Answer: 33.3%
Step-by-step explanation:
25/75=0.33333
0.33333*100=33.3
Blue Sky Jeans Company manufactures jeans. A machine cuts the fabric pieces and workers sew them. One worker can sew the fabric pieces for a 1/2 pair of jeans in 1/8 hour. How long does it take a worker to sew one pair of jeans? (1 Point)
Answer:
1\4
Step-by-step explanation:
I'm stumped on the answer to this one can anyone help me?
Answer:
it would d the last one
Step-by-step explanation:
Round 1.26 to the nearest tenthヽ( ᐖゞ)
Answer:
1.30
Step-by-step explanation:
since it's in the tenths place it's behind the Decimal and you round that so it's 1.30
The length of a football field is 120 yards. How long is the football field in feet?
Answer:
3 feet per yard
120 feet
________ = 40 yards
3 feet(which makes up one yard)
Answer:
The football field is 360 feet.
Step-by-step explanation:
Convertion: 1 yard = 3 feet
120 × 3
= 360 Feet
In a survey of 250 professional athletes, it was found that 119 of them owned a convertible, 119 of them
owned a giant screen TV, and 109 owned a sporting goods store. 22 owned a convertible and a store, 51
owned a TV and a store, and 62 owned a covertible and a TV. 11 owned all three items.
Answer: Whats the question?
Step-by-step explanation:
can anyone explain me
Answer:
9
Step-by-step explanation:
LCM is the smallest multiple what is common to all the numbers.
[tex]45 = {3}^{2} \times 5 [/tex]
[tex]15 = 3 \times 5[/tex]
For LCM to be 45,
[tex]n = {3}^{2} \\ = 9[/tex]
Drag a statement or reason to each box to complete this proof. If 3x−4=14, then x=6.
Answer:
Step-by-step explanation:
3x-4=14 x=6
3x=18
x=18
x=6
What is the surface of this rectangular prism? I-Ready
Answer:
290 square inches
Step-by-step explanation:
A=2(wl+hl+hw)=2·(5·5+12·5+12·5)=290
i’ll mark brainlest to whoever answers this! :)
how many triangles can be formed by joining the vertices of an octagon?need answer and solution pls
Answer:
6 triangles
Solution: In a regular octagon, by joining one vertex to the remaining non-adjacent vertices, 6 triangles can be formed.Step-by-step explanation:
A square bedroom has an area of 121 square feet. What is the perimeter
of the bedroom
Answer:
Step-by-step explanation:
Area of the square bed room is given. From this area, we need to find the sides of the square by taking square root of the area.
Side of the square bedroom = √area
[tex]= \sqrt{121} = \sqrt{11*11}\\\\= 11 \ ft[/tex]
Perimeter = 4 * side
= 4 *11
= 44 ft
if sinA-cosA=0, What is the value of TanA and SecA?
Answer:
tan(x) = 1
sec(x) = sqrt(2)
Step-by-step explanation:
(Reminder: sin is the height of the triangle of the unit circle and cos is the length)
The only values where a right triangle with a hypotenuse of 1 has equal lengths of legs are 45-45-90 triangles. The sin and cosine of those triangles are both 1/sqrt(2).
Since tan(x) = sin(x)/cos(x), and sin(x) = cos(x), tan(x) is just going to be 1.
sec(x) is defined as 1/cos(x). since cos(x) is 1/sqrt(2), sec(x) is just sqrt(2).
I hope this helped.
Ross says he does not need grouping symbols in the expression that represents the problem
Answer:
Where's the problem?
Step-by-step explanation:
Question
If the end behavior is decreasing to the left, what might be true about the function? Select all that apply.
If the end behavior is decreasing to the left, then the function or leading coefficient of the function will be negative and the degree of the function will be Odd.
What is a Leading Coefficient?Leading coefficients are the number numerals that are written in front of a variable that has the biggest exponent.
Similar to other coefficients that are regular, they can be:
positivenegative,real, imaginarywhole numbersfractions ordecimals.Learn more about Leading Coefficient at;
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what is 676.437 rounded to the nearest one
help
Answer:
676 because the .4 is less than .5, which makes it 676
Find rise, run and slope values
From the given graph, the rise, run and slope of this graph are 1, 5, and 1/5 respectively.
Slope of a LineThis is the ratio between the rise and run i.e y-axis and x-axis.
The rise any graph is the change in the y-axis.
Rise[tex]\delta y = y_2 - y_1[/tex]
The rise in this graph will be
[tex]\delta y = 1 - 0 = 1[/tex]
RunThe run on any graph is the change in the x-axis.
[tex]\delta x = x_2 - x_1[/tex]
The run on this graph is
[tex]\delta x = 5 - 0 = 5[/tex]
Having the values of rise and run, we can find the slope of this graph
[tex]m = \frac{\delta y}{\delta x} = \frac{1}{5}[/tex]
The rise, run and slope of this graph are 1, 5, and 1/5 respectively.
Learn more on slope here;
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Lucas wants to write
3 ÷ 2 as a mixed number. He performs the division below.
3÷2=1 R1
Explain how to write the quotient as a mixed number. Drag the words to complete the explanation. Words may be used once or not at all. quotient added to remainder divisor Use the whole number part of the as the whole number part of the mixed number. Write the quotient in the numerator of the fraction and write the dividend in the denominator of the fraction.
Lucas wants to write 3 ÷ 2 as a mixed number. He performs the division below.
3 ÷ 2 = 1 R1
[tex]\sf \dfrac{3}{2} \rightarrow 1\dfrac{1}{2}[/tex]
remainder : 1
divisor : 2
quotient : 1
dividend : 3
================================================================
Use the whole number part of the Quotient as the whole number part of the mixed number.
Write the Remainder in the numerator of the fraction and write the
Divisor in the denominator of the fraction.
I need to create a explicit formula
Answer:
2
Step-by-step explanation:
A says to B ,"give me rupees 900 and I shall be twice as Rich As You".B replied "if you give me rupees hundred, I shall be thrice as rich as you". How much money has each?
Answer:
kindly help of the wisdom ushers believers
Step-by-step explanation:
the number important not me in the email Your the and triplets
Need help on this please!
Answer:
$34.25 its 275 x 0.07 plus $15
how to solve 7,579 x 189 pls I need help
Which of the following would be a good name for the function that takes the pages in a reading assignment and returns the time needed to complete it? A. Time(pages) B. Cost(time) C. Time(cost) D. Pages(time) E. Year(time) F. Time(year) SUBMIT < PREVIOUS
Answer:Time(pages) is the correct answer apex test.
Answer:
A. Time(Pages)
Step-by-step explanation:
1/2 of wall in gym painted 3 colors Each color takes up the same amount of space on the wall. what fraction of the wall does each color occupy
Answer:
1/6 of the total wall
1/3 for only half of the wall
Step-by-step explanation:
how does y=mx+b go along with this?
Answer:
y=mx + b is doing fine
Step-by-step explanation:
THAT WAS A JOKE, but im good at linear equations can you restate the question please?