Alfonso and Cordell each bought one raffle ticket at the state fair. If 50 tickets were randomly sold, what is the probability that Alfonso got ticket 14 and Cordell got ticket 23? Express your answer as a fraction in simplest form.

Answers

Answer 1

The probability that Alphonso gets ticket 14 and Cordell gets ticket 23 is = 1/2450

Alphonso can pick a ticket from 50 tickets in 50 ways;

When Alphonso pick a ticket, then Cordell can pick a ticket in 49 ways;

Total number of ways = 50 × 49 = 2450;

Alphonso can get ticket 14 and Cordell can get ticket 23 in only one way;

So, the probability that Alphonso gets ticket 14 and Cordell gets ticket 23 is = 1/2450;

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Related Questions

The simplified expression of
5
x

8

2.25
x
+
3
5x−8−2.25x+3 is

Answers

Answer:

44.5x - 13

Step-by-step explanation:

Combine like term.

Answer is 4.4.53 - 13

Please show work, and brainliest will be yours.

Answers

I think the answer is: Every Sunday, you jog.
The error that my classmate made was that they should have switched the order around.

1-131. Lindsay has a paper bag full of Fruiti Tutti Chews in three different fruit flavors. She says, “If you reach into the bag, you have a chance of pulling out a Killer Kiwi. There is a chance that you will get Crazy Coconut.”

Answers

The probability of choosing a Kiwi or a coconut  is 14/15.

There has to be another flavor in the bag. The probability of picking the third flavor is 1/15.

There can be 15 candies in the bag. There can be more than one possibility.

What is the probability?

Probability calculates the odds that a random event would occur. The odds that the random event happens lie between 0 and 1. The more likely the event is to occur, the closer the probability value is to 1. If the probability value is 0.5, it is equally likely and unlikely that the event would happen or not happen. The sum of all probabilities should add up to 1.

The probability of choosing a Kiwi or a coconut = chances of picking a kiwi + chances of picking a coconut

1/3 + 3/5

(5 + 9) / 15 = 14/15

There has to be another flavor in the bag because the sum of the probabilities of picking a coconut or a kiwi does not add up to 1.

The probability of getting another flavor = 1 - sum of the probabilities of picking a kiwi or a coconut

1 - 14/15

15/15  - 14/15 = 1/15

The total number of candies in the bag would be a multiple of 15. The multiple of a number is the product of the number and another number. The possible number of candies are 15, 30, 45, 60, 75, 90

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The following represent statistics of weekly salaries at Acme Corporation.
Mean = $585 Median = $581 Mode = $575
First Quartile = $552
Third Quartile = $605
a) What is the most common salary? $575
Standard deviation = $28.
86th Percentile = $612
b) What salary did half the employee's salaries surpass? $581
c) About what percent of employee's salaries is below $612?
d) What percent of the employee's salaries are above $552?
e) What salary is 2 standard deviations below the mean?
f) About what percent of employee's salaries is above $592?
g) What salary is 1.5 standard deviations above the mean?
(Round answer two decimal places, if necessary.)
P64 = $592

Answers

a) This refers to the mode = $575

b) This refers to the median = $581

c) This refers to the 86th Percentile = $612

d) This refers to the First Quartile = $552

e) The salary is that is 2 standard deviations below the mean = $529

f) About 36 percent of employee's salaries is above $592

g) $627 is 1.5 standard deviations above the mean

Given data

Mean = $585

Median = $581

Mode = $575

First Quartile = $552

Third Quartile = $605

Standard deviation = $28.

86th Percentile = $612

P64 = $592

How to find the required values

a) What is the most common salary? $575

This refers to the mode = $575

b) What salary did half the employee's salaries surpass? $581

This refers to the median = $581

c) About what percent of employee's salaries is below $612?

This refers to the 86th Percentile = $612

d) What percent of the employee's salaries are above $552?

This refers to the First Quartile = $552

e) What salary is 2 standard deviations below the mean?

The mean is given as $585 and the standard deviation is $28

2 standard deviation below the mean is:

= 585 - 2 * 28

= 585 - 56

= $529

f) About what percent of employee's salaries is above $592?

P64 is given as $592 this refers to the percent of employee's salaries that falls under 64%. so the percent above is above 64 is given as:

= 100 - 64

= 36%

g) What salary is 1.5 standard deviations above the mean?

The mean is given as $585 and the standard deviation is $28

1.5 standard deviation below the mean is:

= 585 + 1.5 * 28

= 585 + 42

= $627

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Consider the line y=
1
2x+2.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

If the equation of a line is [y = (12x + 2)], then the slope of a line parallel to this line will be (Tan θ = 12) and, slope of a line perpendicular to this line will be [Tan θ = [tex](\frac{-1\1}{12})[/tex]].

As per question statement, the equation of a line is [y = (12x + 2)].

We are required to find out the slope of a line parallel to this line and the slope of a line perpendicular to this line.

To solve this question, firstly, we need to know about the standard equation of a line which goes as [tex][y = (mx +c)][/tex] where, "m" is the slope of the line and "c" is the y-intercept.

Comparing our given equation [tex][y = (12x +2)][/tex] with the above mentioned standard equation of [tex][y = (mx +c)][/tex], we get (m = 12) and (c = 2).

Hence, slope of our concerned line is 12. And since slopes of all parallel lines are equal, therefore, the slope of any line parallel to the line [tex][y = (12x +2)][/tex] will be 12 or (Tan θ = 12).

Also, we know that, the product of the slopes of two perpendicular lines, (say m₁ and m₂) is equal to (-1), i.e., [m₁*m₂ = (-1)].

Therefore, the line perpendicular to [tex][y = (12x +2)][/tex] will have a slope of [tex](\frac{-1}{m})[/tex], i.e., ([tex]\frac{-1}{12}[/tex]).

Equation: An equation is a mathematical statement that consists of two separate expressions, connected by an equal signSlope: Slope of a line is defined as the inclination of the line along the positive (x- axis) and is calculated by the formula [tex][m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}} ][/tex] where (x₁, y₁) and (x₂, y₂) are two points on the line.

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Why should I probably get my first credit card from the same institution that has my checking and/or savings account?Because building a relationship with a financial institution makes good OA sense You should not. You should get your first card at one of those really cool OB. student websites. A better idea is to pick your credit card company based on which gift I like Oc the best. OD Because local institutions offer better gifts

Answers

 I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

What is a credit card?

The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.

However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.

Now,  I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

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It is known that 4 WHOEVER ANSWERS CORRECTLY WILL BE MARKED BRAINLIEST

Answers

Answer:

jsjsjsjs

Step-by-step explanation:

sjsjsjsjdjdjdjdjdjjdjdfjjfdjjdjdjdjdjdjdjdjd

The coordinates of triangle MNP and triangle QRS are shown in the table.

Triangle MNP
Triangle QRS
M(2, 5) N(6, 4) P(6, 8)
Q(–2, -5) R(–6, -4) S(–6, -8)

Which BEST describes the relationship, in terms of congruency, between triangle MNP and triangle QRS?

Answers

Using translation concepts, it is found that the triangles are congruent, as triangle QRS is the result triangle after a 180º rotation about the origin of triangle MNP.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis, or rotations of a degree measure around the origin.

From the vertices of the triangles MNP and QRS, the following transformation was applied:

(x,y) -> (-x,-y).

Which is a 180º rotation about the origin, that is, triangle QRS is the result triangle after a 180º rotation about the origin of triangle MNP.

Rotations do not change the side lengths, only the orientation of the triangle, hence the triangles QRS and MNP are congruent.

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Type a digit that makes this statement true. 366,5_4 is divisible by 8.​

Answers

Answer:

required digit is 0.

if we want two answers then 0 &8

Step-by-step explanation:

it is divisible by 8 if last three digits are divisible by 8

504÷8=63

so 366,504 is divisible by 8.

366,504÷8=45813

next term is 584

584÷8=73

so 366,584 is divisible by 8.

Use the figure below to list the slopes m₁, m₂, m3, and m4 in order of decreasing size.

Answers

the order, from largest to lowest, is:

Purple line, Green line, Blue line, Red line.

How to list the slopes in decreasing order?

A linear equation written in the slope-intercept form is:

y = a*x + b

Such that a is the slope, and it tells us how fast the function changes.

Positive slopes mean that the lines go upwards (purple or green in this case)

Negative slopes mean that the lines go downwards (blue or red in this case)

As larger is the slope, more steep is the function (for the cases with positive slope, is the opposite for negative slopes).

Then the order, from largest to lowest, is:

Purple line, Green line, Blue line, Red line. (y can't see the subindices of the slopes in the lines, so I only can identify the colors).

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In​ 1920, the record for a certain race was 46.4 sec. In ​1970, it was 45.4 sec. Let ​R(t)=the record in the race and t= the number of years since 1920.
​a) Find a linear function that fits the data.
​b) Use the function in​ (a) to predict the record in 2003 and in 2006.
​c) Find the year when the record will be sec.

Answers

The year will be 2018, the predicted record of 43.74

1920, the record for a certain race was 45.9 sec.

In 1950, it was 45.0 sec.

Let R(t)= the record in the race and t= the number of years since 1920.

How to calculate slope

The equation of slope of any line can be calculated using the following formula, m = rise/run = tanθ = Δy/Δx = (y2 - y1)/(x2 - x1) where, m is the slope. Δy is the change in y-coordinates.

slope = (45-45.9)/30 = -0.9/30 = -0.03

EQUATION:

R(t)= -0.03t + 45.9

b) The predicted record for 2003

t = 83 in 2003

R(83) = -0.03*83 + 45.9

R(83) = 43.41

The predicted record for 2006

t = 86 in 2006

R(86) = -0.03*86 + 45.9

R(86) = 43.32

C) Solve for t

-.02t + 45.7 = 43.74

-.02t = 43.74 - 45.7

-.02t = -1.96

t = +98

1920 + 98 = 2018, the predicted record of 43.74

This type of equations are called linear equations

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution. For example, 2x+3=8 is a linear equation having a single variable in it.

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Question 8, 11.1.21 A stock can go up, go down, or stay unchanged. How many possibilities are there if you own 9 stocks?​

Answers

Answer:  19683

Explanation:

Consider 2 stocks that either go up, down, or stay unchanged. We'd have a 3 by 3 table to show the 3*3 = 3^2 = 9 different outcomes.

This idea can be extended to 3 stocks to have 3*3*3 = 3^3 = 27 outcomes

4 stocks would have 3^4 = 81 outcomes and so on

Therefore, 9 stocks have 3^9 = 19683 outcomes

Parallel, Perpendicular, or neither? y=3x+3 y=3x-4

Answers

These two lines are parallel because parallel lines have equal gradients
It would be perpendicular if one of the line’s gradients was -1/3
Answer: parallel

Hope this helps :))

How many pairs of angles are marked as congruent in the figures below?
ДД
X M
0 3
00
2
01
N

Answers

Answer: 2 pairs

Step-by-step explanation: You can tell which angles are congruent based on the curved markings. Pairs of congruent angles have matching markings. Since two of the angles are congruent to each other, we can assume that the third angles on the triangles are also congruent to each other, but it is not marked as such. So, there are only two marked pairs of congruent angles.

In which of these pairs of numbers is 2 greater than the first and less than the second? 2.1, 2.3 2, 2 2.7, 3 2 , 2

Answers

Answer: most likely 2,2 I believe

Step-by-step explanation:

A cube has an edge length that is a rational number of centimeters. Identify which measurement will require the use of irrational numbers? (1 point)
O the diagonal of one of the cube's faces
O the volume of the cube
O the surface area of the cube
O the area of one of the cube's faces

Answers

Answer:

A) the diagonal of one of the cube's faces

Step-by-step explanation:

Let the edge be r, a rational number.

Then the following are:

A) The diagonal of one of the cube's faces,

d = r[tex]\sqrt{2}[/tex], this is always irrational.

B) The volume of the cube,

V = r³ - always rational.

C) The surface area of the cube,

S = 6r² - this is always rational.

D) The area of one of the cube's faces,

A = r²- this is always rational.

50 POINTS
2( 7w-1)+5w=w+ 3(4w+3)+2 (3w-9)

Answers

Answer:

0= -7

Therefore, it has no solutions.

Step-by-step explanation:

Answer:

No solutions.

Step-by-step explanation:

[tex]2\left(7w-1\right)+5w=w+3\left(4w+3\right)+2\left(3w-9\right)[/tex] <- Expand

[tex]19w-2+2=19w-9+2[/tex] <- Add 2 to both sides

[tex]19w=19w-7 \\[/tex] <- Simplify

[tex]19w-19w=19w-7-19w[/tex] <- Subtract 19w from both sides

[tex]0=-7[/tex]

Therefore, this has no solutions.
______________________________________________________
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Which of the following is most likely the next step in the series?
)DO
O A.
• B.

Answers

Following the pattern, the most likely next step in the series is given by the pentagon in option B.

What is the most step for the series?

We have to look at the number of points in each figure, hence:

The first figure, with the line segment, has two points.The second figure, with the triangle, has three points.The fourth figure, with the rectangle has four points.

Hence, the number of points increases by one for each figure, meaning that in the next step, the figure should have 5 points, representing a pentagon.

Among the options given for the answer, only one, option B, has 5 points, with the pentagon, as:

Option A has one point.Option C has four points.Option D has three points.

Hence, the most likely next step in the series is given by the pentagon in option B.

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in an arcade game, nick can earn up to 10 tickets depending on which slot his coin goes through. if he plays the tournament six times what is the most significant number of tickets nick earn

Answers

Answer:

This answer is most likely 60

Write the sentence as an equation. 84 is equal to the quotient of 165 and y​

Answers

Answer:

84=165/y

Step-by-step explanation:

84= 165/y that’s the equation

Which of the following represents the area of a rectangle whose length is 5x − 3 and whose width is x + 7?

Answers

I believe the answer is 5x2 + 32x -21

What are the outputs of the function below?
X
g(x)
O-1, 0, -3, 4
O-1, 0, 7, 10
O6, 2, -3, 4
6, 2, 7, 10
-1
6
0
2
7
3
10
4

Answers

Answer:

it a i think

Step-by-step explanation:

The outputs of the function are 6, 2, 3, 4, and the inputs of the function are -1, 0, 7, and 10.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

here,

We have:

x        g(x)

–1        6

0          2

7          -3

10         4

The table shows the input and output of the function g(x)

g(-1) = 6

g(0) = 2

g(7) = -3

g(10) = 4

The set of equivalent y-values for the function shown in the table is as follows: 6, 2, 3, 4.

Thus, the outputs of the function are 6, 2, 3, 4, and the inputs of the function are -1, 0, 7, and 10.

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PART B ONLY
Given: Evaluate the integral
∫x^12ln(x) dx
Solved: 1/13ln(x)x^13 - 1/169x^13 + C
(b) The application of integration by parts corresponds to applying the product rule to what product: [ ??? ]

Answers

Using integration by parts, the application of integration by parts corresponds to applying the product rule to the product of functions u(x) = ln(x) and v(x) = (x^13)/13.

What is the integration by parts?

Integration by parts is similar to the inverse of the product rule, and is given as follows:

[tex]\int u dv = uv - \int v du[/tex]

Hence it is the product of functions u and dv. To identify function u, the precedence is given is as follows:

L: Logarithmic.I: Inverse.A: Arithmetic.T: Trigonometric.E: Exponential.

In this problem, we have a logarithmic and an arithmetic function, hence:

Function u is the logarithmic function ln(x).Function g is ∫x^12 dx, hence x^13/13.

The application of integration by parts corresponds to applying the product rule to the product of functions u(x) = ln(x) and v(x) = (x^13)/13.

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Giving Brainliest!!!
What is 10x + 4 = 22

Answers

Answer:

x=1.8

Step-by-step explanation:

10x + 4 = 22

Subtract 4 from both sides.

10x=18

Divide 10 from both sides.

x=1.8

Hope this helps!

Answer: x = 1.8 or x = 9/5

Step-by-step explanation:

1. Subtract 4 from both sides:

10x + 4 - 4 = 22 -4

2. Simplify:

10x = 18

3. Divide by 10 on both sides:

10x/10 = 18/10

4. Solve:

x = 1.8 or 9/5

Carlos is moving his 14 books. He has packed and equal number of books into each of 3 empty boxes. How many books are in each box? How many books are left over

Answers

Answer:

The total ways the textbooks can be arranged in the 3 boxes is , which is equivalent to . If all of the math textbooks are put into the box that can hold  textbooks, there are  ways for the other textbooks to be arranged. If all of the math textbooks are put into the box that can hold  textbooks, there are  ways to choose the other book in that box, times  ways for the other books to be arranged. If all of the math textbooks are put into the box with the capability of holding  textbooks, there are  ways to choose the other 2 textbooks in that box, times  ways to arrange the other 7 textbooks. , , and , so the total number of ways the math textbooks can all be placed into the same box is . So, the probability of this occurring is . If the numerator and denominator are both divided by , we have . Simplifying the numerator yields , and dividing both numerator and denominator by  results in . This fraction cannot be simplified any further, so  and . Therefore, .

Answer:

Step-by-step explanation:

Solve negative four and one third ÷ two and one fifth.

negative nine and eight fifteenths
negative eight and one fifteenth
negative one and 32 over 33
one and 32 over 33

Answers

Answer:

Step-by-step explanation:

answer b

Answer: Its C not B

Step-by-step explanation:

The function y = f(x) is graphed below. Plot a line segment connecting the points
on f where x = -8 and x = -2. Use the line segment to determine the average
rate of change of the function f(x) on the interval -8 ≤ x ≤-2.

Answers

Answer:

1x+mx=b

Step-by-step explanation:

1*15+3*15=60

You buy a carton of milk and two sandwiches for $10.One sandwich costs twice as much as a carton of milk.Your friend buys two cartons of milk and three sandwiches. How much does your friend spend?

Answers

The total amount spent by your friend is $8

How to determine the amount spent by your friend?

The given parameters are:

1 carton of milk and 2 sandwiches= $10The cost of 1 sandwich = Twice carton of milk

Represent sandwich with x and carton of milk with y

So, we have

x = 2y

This also means that

y + 2x = 10

Substitute x = 2y in y + 2x = 10

y + 2(2y) = 10

This gives

5y = 10

Divide by 2

y = 2

Recall that:

x = 2y

So, we have

x =2 * 1

x = 2

Your friend's purchase can be represented as:

2y + 3x

This gives

Total = 2 * 1 + 3 * 2

Evaluate

Total = 8

Hence, the amount spent by your friend is $8

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Can anybody help me with this

Answers

Answer:

IV

Step-by-step explanation:

All of the other ones are pointing towards the square. As you can see, the arrow is not pointing towards the square in IV, therefore that is your answer.

Simplify 9-{X -(7+X)}
A. 16
B. -2x +2
C.-2x +16
D. 2x +2

Answers

The answer is A, 16.
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