The owner of a local movie theater keeps track of the number of tickets sold in each purchase. The owner determines the probabilities based on these records. Let X represent the number of tickets bought in one purchase. The distribution for X is given in the table. A 2-column table with 5 rows. Column 1 is labeled number of tickets with entries 1, 2, 3, 4, 5. Column 2 is labeled Probability with entries 0.17, 0.55, 0.20, 0.06, 0.02. What is the probability that a randomly selected purchase has less than two tickets? 0.17 0.55 0.72 0.83

Answers

Answer 1

Answer:

0.17

Step-by-step explanation:

Answer 2

The probability for purchasing 2 tickets at a time can be given as 0.17. The correct option is (A).

What is probability?

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

Suppose X be the event to represent the number of tickets in purchase.

Then,  as per the question distribution table can be formed as follows,

The number of tickets (X)                                 P(X) Probability

            1                                                                      0.17

            2                                                                     0.55

            3                                                                     0.20

            4                                                                     0.06

            5                                                                     0.02

Thus, the probability of selecting less than two tickets can be obtained as,

P(X < 2) = P(X = 1)

⇒ 0.17

Hence, the probability for a purchase to have less than two tickets is given as 0.17.

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Related Questions

Hiya !

I need help. . .

Which of the following is a rational number?

[tex]\sf{a) \: \sqrt{20}}[/tex]

[tex]\sf{b) \: \pi}[/tex]

[tex]\sf{c) \: \sqrt{21}}[/tex]

[tex]\sf{d) \: \sqrt{25}}[/tex]

(remember no calculator if you're trying to use it)

→ Make an explanation to this. don't cheat!

Answers

Answer:

root 25

Step-by-step explanation:

root 25 is 5, and every other number may not be able to be written as a whole number (please give brainliest)

Answer:

D) √(25)

Step-by-step explanation:

√(25) is a rational number because it is a perfect square of 5.

What is the volumen , in cube centimeters, if a cube with a side length, s, of 0.2cm?

Answers

Answer:

[tex]\frac{1}{125}[/tex]cm³

Step-by-step explanation:

volume of cube= (side)³

0.2³ = [tex]\frac{1}{125}[/tex]

A case of 24 cans of soup costs $38.16. What is the cost of 7 cans of soup?

Answers

Answer:

$11.13

Step-by-step explanation:

24 cans = $38.16

divide both sides by 24 to find the cost per can, as this leaves us with 1 can on one side

24 cans / 24 = $38.16 / 24

1 can = $1.59

multiply both sides by 7 to get 7 cans of soup on one side, which is what we want

1 can * 7 = $1.59 * 7

7 cans = $11.13

Jeremy wants to visit the Duck Pond. Which is a correct description of how to find the ordered pair for the Duck Pond? ​

Answers

Answer: 2,4

Step-by-step explanation:

1. What is the surface area of this rectangular prism?

A. 16 square units

B. 32 square units

C. 48 square units

D. 64 square units

Answers

Hi! :)

Answer:

B) 32 Square Units

Step-by-step explanation:

I counted the squares. <3

A box contains 1 4/5 pounds of pasta. How many ounces of pasta are
in the box

Answers

Answer: 1 4/5 pounds is equal to 28.8 ounces

Step-by-step explanation:

1 pound is equal to 16 ounces.

There are 12 turkey sandwiches and 8 ham sandwiches. There are 6 bags of chips and 10 bags of pretzels. What is the probability of selecting a turkey sandwich and a bag of pretzels?
a) 1/5
b) 3/8
c) 3/5
d) 5/8

Answers

The probability of selecting a turkey sandwich and a bag of pretzels is 3/8.

What is the probability?

Probability determines the likelihood that an event would happen. The odds the event occurs is 1 and the odds that the event does not occur is 0.

The probability of selecting a turkey sandwich and a bag of pretzels = number of turkey sandwiches / total number of sandwiches x number of pretziel bags / total number of bags

12/20 x 10/16 = 3/8

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Solve the logarithmic equation. Show steps

Answers

[tex]\begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \underset{\stackrel{\uparrow }{\textit{let's use this one}}}{a^{log_a x}=x} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\log_4(x+10)-\log_4(x-2)=\log_4(x)\implies \log_4\left( \cfrac{x+10}{x-2} \right)=\log_4(x) \\\\\\ \stackrel{\textit{exponentializing both sides}}{4^{\log_4\left( \frac{x+10}{x-2} \right)}=4^{\log_4(x)}}\implies \cfrac{x+10}{x-2}=x\implies x+10=x^2-2x \\\\\\ 10=x^2-3x\implies 0=x^2-3x-10 \\\\\\ 0=(x-5)(x+2)\implies x= \begin{cases} 5~~\checkmark\\ -2 \end{cases}[/tex]

notice, -2 is a valid value for the quadratic, however, the argument value for a logarithm can never 0 or less, it has to be always greater than 0, so for the logarithmic expression with (x-2), using x = -2 will give us a negative value, so -2 is no dice.

I need help with the last two !!!

Answers

Step-by-step explanation:

G(x) = - x^2 + 10x

a + G(a) = a - a^2 + 10a = - a^2 + 11a or 11a - a^2 or a(11 - a)

1/G(a) = 1/(10a - a^2) = 1/a(10 - a)

In the following exercises, identify whether each number is rational or irrational.

. (a) √25 (b) √30

Answers

Answer:

(a) √25 rational

(b) √30 irrational

Step-by-step explanation:

Note : only perfect squares have rational roots

25 = 5² then 25 is a perfect square

            therefore √25 = 5 is a rational number

30 cannot be written in the form a² where ‘a’ I start a natural number then 30 is not a perfect square

           Therefore √30 is irrational.

Find the distance (A) for the bend of electrical conduit that is passing under the girder shown in the figure.?​

Answers

Answer:

15 1/8"

Step-by-step explanation:

Adding the values

⇒ 9 3/4" + 2 1/8" + 3 1/4"

⇒ 13 + 2 1/8"

15 1/8"

2.48 times 3.25 equals

Answers

The answer is 8.06.

Solve for x in the inequality 11|x + 1| < 44

Answers

[tex]~~~~~~11|x+1| < 44\\\\\implies |x+1| < \dfrac{44}{11}\\\\\implies |x+1| < 4\\\\\implies x +1 > -4~~~ \text{and}~~~ x+1 < 4\\\\\implies x > -4-1~~~ \text{and}~~~~ x < 4-1\\\\\implies x > -5~~~~~~~~ \text{and}~~~~~ x < 3\\\\\text{Hence,}~~ -5 < x < 3[/tex]

3. If I give you £90 because I want to give you
90% of my prize, what did I win?

Answers

Answer:

81

Step-by-step explanation:

Multiply 90/100 with 90 = (90/100)*90 = (90*90)/100 = 81.

i got 100. not sure how the other guy got 81, but what i did is compare it to a test score or a discount. if you have a total of 100 possible points on the test with every question worth 10 points and i got 9 questions right, i got a 90 percent.

let's say a shopping discount. If you got a 90% discount for a item with original price of $100, it costs $10 with "90" being the amount you took off

if 100 isn't right, i honestly have no clue lol. good luck though

P(A) = 0.36,P(B)=0.30 and P(AnB)=0.12
Find P(A/AUB).

Answers

PU-b3 I believe this is the correct answer

Need help with this problem, doesn't make sense to me.

Answers

Answer:

A = x² - 5x - 8

Step-by-step explanation:

Finding x

Area (deck) = Area (Rectangle) - [Area (bench) + Area (planter)]A = x(x - 4) - [ 2(6) + 1/2(2)(x - 4) ]A = x(x - 4) - [12 + x - 4]A = x² - 4x - 8 - xA = x² - 5x - 8

Plsss helpp
f(x) = x2 What is g(x)?
g(x)-
-(1,9)
f(x)
х
-10
10
-10
O A. g(x) = (9x)2
O B. g(x) = (3x)2
O c. g(x) = 3x2
O D. g(x)=
90x)= (3x)

Answers

D is the correct answer

If the given function is f(x)=x², the value of g(x) will be (3x)².

What is a function?

Each value in the domain is connected to exactly one value in the range according to the function, which is described as a specific form of relationship. They have a predetermined range and domain.

It is given that the coordinate values on the graph g (x) are (1, 9).

Now, For the given function,

g (x) = (3x)²

At point (1, 9)

g (1) = (3(1))²

g(1) = 3²

g( 1) = 9

Since, g(x) = (3x)² satisfies the given coordinate values it will be the obtained result.

Thus, the obtained function will be g(x)= (3x)².

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Find the first four terms of:
a) An arithmetic series with first term of 3 and sum to five terms is 75

Answers

[tex]\textit{sum of a finite arithmetic sequence} \\\\ S_n=\cfrac{n(a_1+a_n)}{2}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\[-0.5em] \hrulefill\\ a_1=3\\ n=5\\ S_5=75 \end{cases} \implies \begin{array}{llll} S_5=\cfrac{5(a_1+a_5)}{2} \\\\\\ 75=\cfrac{5(3+a_5)}{2} \end{array} \\\\\\ 150=5(3+a_5)\implies \cfrac{150}{5}=3+a_5\implies 30=3+a_5\implies \boxed{27=a_5} \\\\[-0.35em] ~\dotfill[/tex]

[tex]n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ n=5\\ a_5=27\\ a_1=3 \end{cases}\implies 27=3+(5-1)d \\\\\\ 24=(5-1)d\implies 24=4d\implies \cfrac{24}{4}=d\implies \boxed{6=d} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{\LARGE Terms}}{3~~,~~\stackrel{3+6}{9}~~,~~\stackrel{9+6}{15}~~,~~\stackrel{15+6}{21}}~\hfill[/tex]

Please help! I’m struggling!

Answers

Answer:

87 degrees

Step-by-step explanation:

The triangle with the angles 79 and 15, we can find the last value because all angles in a triangle add up to 180. So, 180-79-15= 86 degrees for the angle of the triangle.

Because the 86 degree angle is complimentary, or when added up to the adjacent angle, is 90 degrees (we see that little box sign), that means that 90-86=4 degrees for the upper triangle in the angle that isn't the question mark. Now that we know 2 values for the top triangle, we can solve for the third value by subtracting those two from 180.

180-89-4=87 degrees. Hope this helps!

Pls help me and show work! Thank you <3

Answers

Answer: 22

Step-by-step explanation:

By the corresponding angles theorem, [tex]5x-16=2x+50 \longrightarrow x=\boxed{22}[/tex]

Which statement is true?


7.11>−7.1

7.11≤−7.1

7.11<−7.1

Answers

Step-by-step explanation:

I think 1 is correct..

all positive numbers are greater than negative. 7.11 is greater that -7.1

Answer:

7.11 > -7.1

Step-by-step explanation:

» Concept

Negative numbers will always be less than positive numbers. Negative numbers will always have the (-) sign to indicate its value.

» Solution

The only correct inequality is A. 7.11 > -7.1 because it displays that the positive number, 7.11, is greater than the negative number, -7.1.

A solid is cut by a plane that is perpendicular to its base, forming a two-dimensional cross section in the shape of a triangle. Which of the following solids could have resulted in that cross section?

Answers

Solids or three-dimensional forms are shapes or figures that have three (or more) dimensions. The solid could be a Triangular prism or a pyramid.

What is a solid?

Solids or three-dimensional forms are shapes or figures that have three (or more) dimensions. Solid Geometry is the study of the characteristics, volume, and surface area of three-dimensional forms.

Given a solid is cut by a plane that is perpendicular to its base, forming a two-dimensional cross-section in the shape of a triangle. Therefore, the solid could be a Triangular prism or a pyramid.

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Answer: right cone because if you use a right cone and cut it perpendicular to the base you get a triangle making cone triangle the answer.

jeff read 5 pages in 12 minutes. at this rate, how many pages can he read in 1 hour?

Answers

Answer:

25 pages

Step-by-step explanation:

60 minutes in 1 hour. 60/12=5  5 x 5 =25

4x^(4)+8x^(3)-2x^(2) write as a product

Answers

Answer:
764x
Step by step explanation:
4^4=256
8^3=512
2^2=4
256-4+512=764

765x

How to calculate minimization of cost when given the marginal revenue

Answers

Answer: Cost is minimized at the levels of capital and labor such that the marginal product of labor divided by the wage (w) is equal to the marginal product of capital divided by the rental price of capital (r)

Step-by-step explanation:

Suppose that the functions r and s are defined for all real numbers x as follows.
r(x)=3x+5
s(x)=4x
Write the expressions for (r-s)(x) and (r*s)(x) and evaluate (r+s)(-2).

Answers

A function assigns the values. The value of (r+s)(-2) is equal to 9.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given the function r(x)=3x+5, while s(x)=4x, therefore, the expressions can be written as,

(r-s)(x) =r(x)-s(x) = 3x+5 - 4x = -x+5

(r*s)(x) = r(x)·s(x) = (3x+5)·(4x) = 12x² + 20x

The expression for (r+s)(x) can be written as,

(r+s)(x) = r(x)+s(x) = 3x+5+4x = 7x+5

(r+s)(-2) = 7(-2)+5 = -14+5 = 9

Hence, the value of (r+s)(-2) is equal to 9.

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The lengths of the 2 legs of right triangle AABC shown
below are given in inches. The midpoint of AB is how
many inches from A?

A. 16
B. 20
C. 21
D. 28
E. 40

Answers

Answer:

E. 40

Step-by-step explanation:

First, we can start out by stating that this is a right triangle, since it has a right angle, shown by the marker square in the corner of the triangle. The x part, is called the hypotenuse. When finding the value of the hypotenuse, we use a thing called the Pythagorean Theorem. This theorem is :

a^2 + b^2 = c^2

a is one side length, and b is the other. c is the hypotenuse. To find x, the hypotenuse, we simply plug in the values, and solve.

24^2+32^2 = c^2

576 + 1024 = c^2

1600 = c^2

40 = c

The answer is E. 40.

does the formula matter in area?

Answers

Answer:

Yes

Step-by-step explanation:

You need the formula to solve area.

You must plug in / subsitute numbers in order to find the area.

Yes you need the formula

Prime Factorization of 150

Answers

Answer:

2 , 3 , 5 , 5

Step-by-step explanation:

Prime numbers are numbers that are only divisible by itself and 1.

Divide 150 by primes:

150/2 = 75

75/3 = 25

25/5 = 5

Your prime factorization will be: 2 , 3 , 5 , 5.

Check:

2 * 3 * 5 * 5

= 6 * 25

= 150

~

What are the coordinates of Point B?

(4, -3)
(-4, 3)
(3, -4)
(-3, 4)

Answers

Answer:

( -4 , 3 )

Step-by-step explanation:

Knowing that "y" is the line going up and down and "x' is the line going left to right.

Quadrant | = ( + , + )

Quadrant || =  ( - , +)

Quadrant ||| = (- , - )

Quadrant |v = ( + , - )

Refer to image below if needed.

Hence, from the given we can conclude the following:

Quadrant || =  ( - , +)

( x , y )

x = -4

y = 3

Thus, we have:

( -4 , 3 )

Therefore, the correct answer is ( -4 , 3 )

Kavinsky

Answer:

B.

Step-by-step explanation:

The location on point B is quadrant II.

But what do we not know?

What the coordinates of point B are.

So, lets find it in the most simple way:

Start at the origin.From the origin, move 4 spaces to the left on the x-axis.Then, move 3 spaces upward from the y-axis.

Now, you are at point B.

In the explanation, the coordinates for x and y are right in my explanation. Read it carefully and find the coordinates:

2nd line: move 4 spaces to the left on the x-axis. This coordinate for that is -4.3rd line: move 3 spaces upward on the y-axis. this coordinate is 3.

Now, lets pair that together:

(-4, 3).

You have found the coordinates!

Correct choice is B.
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