The probability of matching three out of five numbers on at least one of the four tickets is about 15.15%
Define the term probability?The probability of an event occurring is represented by a number between 0 and 1. It is the probability measure.
The probability of matching three out of five numbers, we need to use the combination formula. There are 24 numbers to choose from, and we need to choose 5 of them, so the total number of possible combinations is:
⇒ ²⁴C₅ = \(\frac{24! }{ (5! * 19!) }\) = 42,504
Now we need to find the number of ways to choose 3 numbers out of 5. This is given by:
⇒ ⁵C₃ = \(\frac{5! }{(3! * 2!) }\) = 10
For each of these combinations of 3 numbers, there are 19 remaining numbers to choose from for the other 2 numbers. So the total number of ways to match 3 out of 5 numbers is:
⇒ 10 × ¹⁹C₂ = \(10 * \frac{19! }{ 2! * 17!}\) = 1,710
Since you have four tickets, the probability of matching three out of five numbers on at least one of them is the same as the probability of not matching three out of five on any of them. The probability of not matching three out of five on one ticket is:
⇒ (42,504 - 1,710) / 42,504 = 0.9598
So the probability of not matching three out of five on any of the four tickets is:
⇒ 0.9598⁴ = 0.8485
Therefore, the probability of matching three out of five numbers on at least one of the four tickets is:
⇒ 1 - 0.8485 = 0.1515
So the probability of matching three out of five numbers on at least one of the four tickets is about 15.15%
To know more about probability, visit:
https://brainly.com/question/13604758
#SPJ1
the frequency diagram shows the heights of students in a class a) how many students were over 145cm
Answer:
15
Step-by-step explanation:
Two numbers have a sum of 42. One number is 2 more than 3 times the other number. Determine both of the numbers using an algebraic solution.
Answer:
8 and 4
Step-by-step explanation: have a good day g
Korra takes 27 minutes to walk to work. After getting a new job, Korra takes 16.27 minutes to walk to work. What was the percent decrease in the travel time?
The percent decrease in the travel time was 60 %.
We will use unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that Korra takes 27 minutes to walk to work. After getting a new job, Korra takes 16.27 minutes to walk to work.
Time taken to walk to home = 27 minutes
Time taken to walk to work = 16.27 minutes
Therefore,
The percent decrease in the travel time was;
16.27 / 27 x 100
= 0.60 x 100
= 60 %
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ1
Determine the equation of the following polyromial that passes through point (0,6).
Answer:
Cubic polynomial has zeros at x=−1x=−1 and 22, is tangent to x−x−axis at x=−1x=−1, and passes through the point (0,−6)(0,−6).
So cubic polynomial has double zero at x=−1x=−1, and single zero at x=2x=2
f(x)=a(x+1)2(x−2)f(x)=a(x+1)2(x−2)
f(0)=−6f(0)=−6
a(1)(−2)=−6a(1)(−2)=−6
a=3a=3
f(x)=3(x+1)2(x−2)f(x)=3(x+1)2(x−2)
f(x)=3x3−9x−6
For what values of x is x2-36=5x true? -9 and -4 -4 and 9 4 and -9 9 and 4.
Answer: -4 and 9
Step-by-step explanation:
Convert 61.41° to degrees, minutes, and seconds
Answer:
degree 61 minute 24 second 36.00 (I might be wrong lol)
Step-by-step explanation:
1 degree (°) = 60 arc minutes and 1 arc minute = 60 arc seconds. We denote a an angle given in DMS form using a°b'c''.
Now,
0.41° × (60' / 1°) = 24.6'
and
0.6' × (60'' / 1') = 36''
so that
61.41° = 61° 24' 36''
(20 points.) Find the length of the side marked with the variable 'x'.
Answer:
EX:Jermaine has a triangle with sides 8, 14, and 20. ... For the points R(-2, 7) and P (2, 1) determine each of the following without graphing a. ... -2 ) é y = -x tb y = 2x+0 ... Find the lengths of the unknown sides that are marked with a variable. L. 4.
Step-by-step explanation:
biometric authentication system using fingerprints returns a value between 0 and 1 for each attempted match. The system was tested with 1000 genuine fingerprints and 1000 imposter fingerprints. The histogram shows the numbers of genuine and imposter attempts for different ranges. Ex: 88 of the 1000 genuine fingerprints returned a value of n between 0.5 and 0.4, while only 3 imposter fingerprints returned a value in the same range.
Range of n Genuine Imposter fingerprints fingerprints
1>n>0.9 192 0
.9 2 n>0.8 188 0.82 n>0.7 176 0.72 n>0.6 158 0.6 2 n>0.5 133 0.52 n>0.4 88 0.42 n>0.3 49 0.32 n>0.2 15 29 0.22 n>0.1 1 319 0.12 n>0 643 (a) Determine the threshold value of n such that less than 1% of imposter attempts are accepted. How many false alarms are generated as a result? (b) Determine the threshold value of n such that less than 1% of genuine attempts are rejected. How many imposter attempts are accepted as a result? (c) Determine the threshold value of n such that no genuine attempts are rejected. How many imposter attempts are accepted as a result?
To determine the threshold value of n such that less than 1% of imposter attempts are accepted, we need to find the value of n for which the cumulative percentage of imposter attempts is 1%. From the histogram, we can see that the number of imposter attempts for values of n greater than 0.4 is 0. Therefore, we need to consider the values of n less than or equal to 0.4.
Let's calculate the cumulative percentage of imposter attempts for each range of values of n:
For n > 0.4: 0%
For n > 0.3: (0 + 29) / 1000 = 2.9%
For n > 0.2: (0 + 29 + 15) / 1000 = 4.4%
For n > 0.1: (0 + 29 + 15 + 319) / 1000 = 35.3%
For n > 0: (0 + 29 + 15 + 319 + 643) / 1000 = 97.2%
We can see that the cumulative percentage of imposter attempts is already above 1% for n > 0.2. Therefore, the threshold value of n should be set to 0.2 to ensure that less than 1% of imposter attempts are accepted.
The false alarm rate is the percentage of genuine attempts that are incorrectly rejected. In this case, since we are setting the threshold at 0.2, we can calculate the false alarm rate as the percentage of genuine attempts with a value of n less than or equal to 0.2:
For n <= 0.2: (88 + 133 + 158 + 176 + 188 + 192) / 1000 = 0.935
Therefore, the false alarm rate is 93.5%, which means that almost all genuine attempts will be incorrectly rejected.
To determine the threshold value of n such that less than 1% of genuine attempts are rejected, we need to find the value of n for which the cumulative percentage of genuine attempts is 99%. From the histogram, we can see that the number of genuine attempts for values of n less than or equal to 0.2 is 39. Therefore, we need to consider the values of n greater than 0.2.
Let's calculate the cumulative percentage of genuine attempts for each range of values of n:
For n > 0.2: (39 + 15 + 1) / 1000 = 5.5%
For n > 0.3: (39 + 15 + 1 + 49) / 1000 = 6.4%
For n > 0.4: (39 + 15 + 1 + 49 + 88) / 1000 = 14.2%
For n > 0.5: (39 + 15 + 1 + 49 + 88 + 133) / 1000 = 27.8%
For n > 0.6: (39 + 15 + 1 + 49 + 88 + 133 + 158) / 1000 = 43.6%
For n > 0.7: (39 + 15 + 1 + 49 + 88 + 133 + 158 + 176) / 1000 = 61.4%
For n > 0.8: (39 + 15 + 1 + 49 + 88 + 133 + 158 + 176 + 188
For more questions like biometric visit the link below:
https://brainly.com/question/7099962
#SPJ11
A donation center has 44 small bins with 24 caned food in them they wanna give each food bank the same amount of food there are 4 food banks
Complete question :
A donation center has 44 small bins with 24 caned food in them they wanna give each food bank the same amount of food there are 4 food banks. How many cans should they give to each food bank?
Answer:
264 cans
Step-by-step explanation:
Number of bins = 44
Number of canned food per bin = 24
Total number of canned foods = (number of bins * number of canned food per bin)
Total number of canned foods = 44 * 24 = 1056
Food is to be distributed equally among 4 banks :
Number of food per bank = 1056 / 4 = 264
what is the surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters
The surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters is 1,670.5 square meters.
The surface area of a cone is calculated using the following formula:
Surface area = πr² + πrl, where π is approximately equal to 3.14, r is the radius of the base of the cone, and l is the slant height of the cone.
In this problem, we are given that the height of the cone is 42 meters and the diameter of the base is 24 meters. The radius of the base is half of the diameter, so the radius is 12 meters. The slant height of the cone can be calculated using the Pythagorean theorem.
l² = 12² + 42²
l² = 1764
l = 42.01 meters
The surface area of the cone is then calculated as follows:
Surface area = πr² + πrl
Surface area = 3.14 * 12² + 3.14 * 12 * 42.01
Surface area = 1,670.5 square meters
Here are some additional explanations:
The radius of a circle is the distance from the center of the circle to any point on the edge of the circle.The slant height of a cone is the distance from the vertex of the cone to any point on the edge of the base of the cone.The surface area of a cone is calculated by adding the area of the base of the cone and the area of the lateral surface of the cone.The area of the base of a cone is calculated using the formula πr².The area of the lateral surface of a cone is calculated using the formula πrl.To know more about area click here
brainly.com/question/13194650
#SPJ11
If sin∅+cos∅ = 1 , find sin∅.cos∅.
=============================================
Explanation:
The original equation is in the form a+b = 1, where
a = sin(theta)
b = cos(theta)
Square both sides of a+b = 1 to get
(a+b)^2 = 1^2
a^2+2ab+b^2 = 1
(a^2+b^2)+2ab = 1
From here notice that a^2+b^2 is sin^2+cos^2 = 1, which is the pythagorean trig identity. So we go from (a^2+b^2)+2ab = 1 to 1+2ab = 1 to 2ab = 0 to ab = 0
Therefore,
sin(theta)*cos(theta) = 0
Answer:
sin ∅ cos ∅ = 0.
Step-by-step explanation:
(sin∅+cos∅)^2 = 1^2 = 1
(sin∅+cos∅)^2 = sin^2∅ + cos^2∅ + 2sin ∅ cos ∅ = 1
But sin^2∅ + cos^2∅ = 1, so:
2sin ∅ cos ∅ + 1 = 1
2 sin ∅ cos ∅ = 1 - 1 = 0
sin ∅ cos ∅ = 0.
which proportion could be used to express 18/20 as a percent
Answer:
so 20*5=100 and a percent is out of 100
so we just multiply 18*5 which equals
90 so 18/20=90%
we could also figure this out because if we simplify we get
9/10 which is also 90%
Hope This Helps!!!
An equation for the line whose slope is 4 and which passes thorough the point (-5,3)
Answer:
y = 4x + 23
Step-by-step explanation:
\(y-y_{1}=m(x-x_{1} )\\y-3=4(x-(-5))\\y-3=4(x+5)\\y-3=4x+20\\y=4x+23\)
The equation of the line is required.
The equation of the line is \(y=4x+23\)
Equation of line\(m\) = Slope of line = 4
Point = \((-5,3)\)
\(x_1=-5\)
\(y_1=3\)
Equation of a line is given by
\(y-y_1=m(x-x_1)\\\Rightarrow y-3=4(x-(-5))\\\Rightarrow y-3=4x+20\\\Rightarrow y=4x+20+3\\\Rightarrow y=4x+23\)
Learn more about equation of line:
https://brainly.com/question/13763238
a large jar contains a mixture of white and black beans. a small sample of beans was found to be 1/4 black beans. what size sample would be needed to estimate the proportion of black with an error of no more than 0.05 and a confidence level of 95%?
The size sample would be needed to estimate the proportion of black with an error of no more than 0.05 and a confidence level of 95% is 289.
The size sample can be calculated with the equation as follows:
\(n=(\frac{Z_{1-\frac{a}{2} }^ }{a})^{2} P (1-P)\)
where,
n = size sample
\(Z_{1-\frac{a}{2} }^{2}\) = 1.96 for \(a\)=0.05
\(P\) = population
\(a\) = margin of error
Therefore,
\(n=(\frac{1.96^{}}{0.05})^{2} 0.25(1-0.25)\)
\(n=(\frac{1.96^{}}{0.05})^{2} 0.25(0.75)\)
\(n=288.12\) ≈ 289
The number of size sample is 289
Learn more about sample propotion here:
https://brainly.com/question/25065531
#SPJ4
Can someone please help....I’m stuck
Mr. Martin wrote the following problem on the board.
Juanita's car has a gas mileage of 21
|miles per gallon. How many miles
can Juanita travel on 7 gallons of
gas?
21miles
Alex used the expressionanllon
7gallons
to find the
answer. Did Alex make a mistake? Answer Yes or No. hi
Answer:
147 gallons
Step-by-step explanation:
21 miles x 7 gallons
A group of friends wants to go to the amusement park. They have no more than $245 to spend on parking and admission. Parking is $9.25, and tickets cost $25.75 per person, including tax. Which inequality can be used to determine pp, the maximum number of people who can go to the amusement park?
Answer:
25.75x+9.25
Step-by-step explanation:
9.25 is the constant. You multiply the ticket by the amount of people to get ticket cost. Then you add ticket cost 9.25 to get final answer.
Inequality is 9.25 + 25.75 × p ≤ 245 which represents the maximum number of people who can go to the amusement park.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We have been given that the group of friends has no more than $245 to spend on parking and admission.
And the parking is $9.25, and tickets cost $25.75 per person, including tax.
Let the number of people would be p who can go to the amusement park,
So the inequality that expresses the relationship is
⇒ 9.25 + 25.75 × p ≤ 245
Therefore, inequality is 9.25 + 25.75 × p ≤ 245 which represents the maximum number of people who can go to the amusement park.
Learn more about the inequalities here:
brainly.com/question/20383699
#SPJ2
Do you love cats? I dont like cats I love them
Answer:
Cats are the best!
Step-by-step explanation:
1. CATS!
2. CATS!
3. CATS!
can you help me again sorry =(
0.615, 0.609, 0.516, 0.506
descending means from highest to lowest :)
There are n cities in a OneWayCountry (country in which every road is a One-Way road). Every pair of cities is connected by exactly one direct one-way road. Show that there exists a city which can be reached from every other city either directly or via at most one other city.
The cities such that this path is \(C_{1}\) → \(C_{2}\) → \(C_{3}\) . . . → \(C_{n}\). Now, if all roads are going towards \(c_{n}+1\), then add \(c_{n}+1\) at the end of this path. Otherwise, let \(C_{i}\) be the first city in this path such that there is a road from \(C_{i}\)-1 to \(c_{n}+1\) and from \(c_{n}+1\) to \(C_{i}\). Place \(c_{n}+1\) between \(C_{i}\)−1 and \(C_{i}\) to get the desired path.
What is mathematical induction method?Mathematical Induction is a technique of proving a statement, theorem or formula which is thought to be true, for each and every natural number n. By generalizing this in form of a principle which we would use to prove any mathematical statement is 'Principle of Mathematical Induction'.
The question says that between any two cities X and Y, either there’s an
one-way road from X to Y or from Y to X, but not both. Then show that
there is a path from some city A which visits all the cities exactly once.
This problem is very similar to the Football league problem #7 in Homework 1. This problem can be modeled as a directed graph in which cities
are represented as vertices and there’s an edge from vertices X to Y if
there’s a road from cities X to Y. And then, our goal is to find a path
in this graph which visits every vertex in the graph.
The rest of the solution is very similar to the argument in Problem 7 of
homework 1. We use induction of number of cities, say n.
As a base case, if n = 2, there are only two cities X and Y and the path
is simply the edge between X and Y.
For induction hypothesis, assume that the statement is true for any set
of n cities. That is’ for any set of n cities, we can find a path which visits
all the cities exactly once.
Let’s prove the statement for n + 1 cities. Leave out n + 1 th city (say,
\(c_{n}+1\)) and for the remaining n cities, by induction hypothesis, we can find a path which visits all these n cities exactly once. Let us label the cities such that this path is \(C_{1}\) → \(C_{2}\) → \(C_{3}\) . . . → \(C_{n}\). Now, if all roads are going towards \(c_{n}+1\), then add \(c_{n}+1\) at the end of this path. Otherwise, let \(C_{i}\) be the first city in this path such that there is a road from \(C_{i}\)-1 to \(c_{n}+1\) and from \(c_{n}+1\) to \(C_{i}\). Place \(c_{n}+1\) between \(C_{i}\)−1 and \(C_{i}\) to get the desired path.
To learn more about induction hypothesis from the given link :
https://brainly.com/question/24672369
#SPJ4
Two minutes after a skydiver opens his parachute, he has descended 1,900 feet. After 5 minutes, he descended 4,750 feet. If the distance varies directly with the time, at what rate is the skydiver moving?
Answer:
The answer is 570 feet
Step-by-step explanation:
4750-1900
=2850 and you have to divide it by 5 to see how much the skydiver descends every minute. 2850÷5 is equal to 570.
The skydiver is moving at a rate of 570 feet every minute.
URGENT!!! DUE IN A FEW MINS!1!1 PLS HELP ASAP GUYS
hehe lol jk
thx 4 showing up anyway
if this were a real question, i know you guys would have my back :-)
i l o v e y o u <3 LSKDJIGEFHJUKJJLOL
What value of n makes the statement true?
6x^n• 4x^2=24x^6
n =
Answer:
n =4
Step-by-step explanation:
6x^n• 4x^2=24x^6
Combine like terms
24 x^n *x^2 = 24 x^6
We know that a^b * a^c = a^(b+c)
24 x^(n +2) = 24 x^6
Divide each side by 24
x^(n +2) = x^6
The bases are the same so the exponents are the same
n+2 = 6
Subtract 2
n+2-2 = 6-2
n=4
Answer:
4
Step-by-step explanation:
just did it
Give the quotient in simplest form:
Answer:
x
Step-by-step explanation:
x/y / 1/y =
x / 1 x y / y =
x / 1 x 1 =
x
Hope that helps!
-Sabrina
PLEASEEE HELP ME WITH THIS QUESTION!!!!!!! ASAP PLEASE ANSWER IT CORRECTLY AND NO GUESSING!!!!!!
Which of the following is true about Debit Cards?
A= When you use a Debit Card you pay the bill at the end of the month with interest.
B= Debit cards withdraw money from your bank account
C= Debit cards are a way for you to borrow money.
Answer:
the answer
is b
i hope that helps
Your Stats teacher tells you your test score was the 3rd quartile for the class. Which is true?
I. You got 75% on the test.
II. Youcan'treallytellwhatthismeanswithoutknowingthestandarddeviation.
III. You can't really tell what this means unless the class distribution is nearly Normal.
Geometry Complete the statements
equal to and both stacks have the same number of blocks
Step-by-step explanation:
just trust me!!
PLEASE HELP URGENT
what is the slope of the line below
Answer:
m=1/2
Step-by-step explanation:
When finding the slope of a line on a graph, I like to count the steps up/down and to the side between two of the line's points. For this line, we can see that it has points at (2,-1) and (4,0). To get from (2,-1) to (4,0), you need to count
"up 1, over 2"
1/2
Therefore, the slope is 1/2.
HTH :)
Step-by-step explanation:
the process is shown in the above picture .
hope it helps
PLEASE HELP! ILL MARK BRAINLIEST!!
Describe at least three dangers of oversharing online.
Answer:
If you overshare online your talking to strangers who can learn more about you
Step-by-step explanation:
Another danger is that they can find out more about you and try to kidnap you
Answer:
See explanation.
Step-by-step explanation:
1.
Someone can steal your information.
2.
They can pretend to be you, if your info is stolen.
3.
They can pretend to be someone else. They can also get you out of your school or college, and cause you harm.
hope this helps.
Alex dumped out his piggy bank and there were only
nickels, dimes, and quarters.
There were three times as many dimes as nickels, and 40
more quarters than nickels.
If the total amount of money was $17.20, how many of each
type of coin were there?
"There are
nickels,
dimes, and
quarters.
Answer:
12 nickels
36 dimes
52 quarters
Step-by-step explanation:
Let x = no. of nickels
3x = no. of dimes
x + 40 = no. of quarters
5x = value of the nickels since each nickel is 5 cents
10(3x) = 30x = value of the dimes since each dime is 10 cents
25(x + 40) = 25x + 1000 = value of the quarters since each quarter is 25 cents
Now, 5x + 30x + 25x + 1000 = 1720 ($17.20 = 1720 cents)
60x + 1000 = 1720
60x = 720
x = 12 nickels
3x = 36 dimes
x + 40 = 52 quarters
Check: 12 nickels are worth $.60
36 dimes are worth $3.60
52 quarters are worth $13
.60 + 3.60 + 13 = 17.20