Using the hypergeometric distribution, it is found that there is a 0.0333 = 3.33% probability that all three tickets have no value.
The tickets are drawn without replacement, hence, the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
There is a total of 15 + 13 + 12 + 20 = 60 tickets, hence [tex]N = 60[/tex].Of those, 20 are "dummy" tickets, hence [tex]k = 20[/tex].Three tickets are randomly drawn, hence [tex]n = 3[/tex].The probability that all three tickets have no value is P(X = 0), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,60,3,20) = \frac{C_{20,3}C_{40,0}}{C_{60,3}} = 0.0333[/tex]
0.0333 = 3.33% probability that all three tickets have no value.
A similar problem is given at https://brainly.com/question/24826394
Solve the problem. At a lumber company, shelves are sold in 3 types of wood, 3 different widths and 6 different lengths. How many different types of shelves could be ordered
Answer:
54
Step-by-step explanation:
3*3*6=54
(1,4) and (6,-1) in slope intercept form
Answer:
[tex]Y = -X+5[/tex]
Step-by-step explanation:
To find the slope you need to do [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Using that formula you will get [tex]m = -1[/tex]
Now you need to use the slope -1 and a given point (1,4) to substitute for x1 and y1 in point slope form
[tex]y-4 = -1*(x-1)[/tex]
now you need to solve for y
and you get....
[tex]y= -x + 5[/tex]
I need help with this
Which proportion can be used to find 65% of 90?
Answer: 65/100 = x/90
Step-by-step explanation: 65/100 = 65%
So, x/90 = 65/100
Thus, the answer is 65/100 = x/90
Would appreciate brainliest <3
some1 help plz lol
The relationship between the Celsius (C) and Fahrenheit (F) scales for measuring temperature can be represented by a linear function. A temperature of 50 °F corresponds to 10 °C, and a temperature of 212 °F corresponds to 100 °C.
Which statement is the best interpretation of the slope of the graph of this function?
Question 1 options:
For each change of one degree in the Fahrenheit scale, there is a change of 59
5
9
degree in the Celsius scale.
A temperature of 0 °F corresponds to -17.78 °C.
A temperature of 0 °C corresponds to 32 °F.
For each change of one degree in the Fahrenheit scale, there is a change of 95
9
5
degree in the Celsius scale.
The slope is 9/5, this means that for each change in degree in the Celsius scale there is a change of 9/5 degree in the Fahrenheit scale.
The y intercept is 32, this means that a temperature of 0 °C corresponds to 32 °F
A linear equation is given by:
y = mx + b
where y, x are variables, m is the slope of the graph and b is the y intercept.
Let F represent the temperature in Fahrenheit and C represent the temperature in Celsius.
50 °F corresponds to 10 °C it is given as (10, 50), while 212 °F corresponds to 100 °C, it is given as (100, 212). Hence:
[tex]F-F_1=\frac{F_2-F_1}{C_2-C_1} (C-C_1)\\\\\\F-50=\frac{212-50}{100-10}(C-10) \\\\\\F-50=\frac{9}{5}(C-10) \\\\\\F=\frac{9}{5}C+32[/tex]
The slope is 9/5, this means that for each change in degree in the Celsius scale there is a change of 9/5 degree in the Fahrenheit scale.
The y intercept is 32, this means that a temperature of 0 °C corresponds to 32 °F
Find out more at: https://brainly.com/question/13911928
The perimeter of a rectangle is 56 centimeters. If the length of the rectangle is four centimeters less
than three times its width, what are the dimensions of the rectangle?
Answer:
Let the length be x and the width be y, then
2x + 2y = 56
x + y = 28 . . . (1)
x = 4 + 3y . . . (2)
Putting (2) into (1) gives
4 + 3y + y = 28
4y = 28 - 4 = 24
y = 24/4 = 6
x = 4 + 3(6) = 4 + 18 = 22
Therefore, length is 22 inches and width is 6 inches.
A local gym charges customers $20 for the first month and then an additional $14 for each month after that. If Josh has paid the gym $160, for how many months has he been a member?
show work !!
Answer:
11
Step-by-step explanation:
20 for first month. leaves 140. 140 ÷14 = 10
10+1 =11
HELP QUICK
The interest rate at a bank is 5.5%. Which decimal is equivalent to 5.5%
5.5
0.55
0.055
0.0055
Answer:
0.055
Step-by-step explanation:
You want to move the decimal from the % left two places.
Answer:
005
Step-by-step explanation:
A hand-held digital music player was marked down by 1/4 of the original price. If the sales price is $200. What is the original price?
Group of answer choices
$266.67
$270.00
$225.00
$250.00
Can anyone help me? The answers belong in the boxes, I already tried to answer but not all of them were right. Please explain how you get your answers!
need help with 1,2,3
13 points
Answer:
1
function yes
domain 1,2,3,4,5,6,7,8
range 2,3,4,5,6,7,8,9
2
function no
domain 0,1,1,2,3
range 9,9,7,5
8 foot long piece of wood each piece is 5/6 foot long.What is the greatest number of wood
Answer:
The greates amount of pieces he would be able to use would be 9 because 8 divided by 5/6= 9 and 3/5.the 3/5 piece is too short.
Step-by-step explanation:
which graph has a a Y intercept of negative one over two
Answer:
B.
Step-by-step explanation:
Please answer this as soon as possible!! Please and thank you!
Answer:
D
Step-by-step explanation:
If the condition like the symbol which on the graph
What is the estimate product of 210×733.
Answer:
153930
Step-by-step explanation:
Mr. Walker is looking at the fundraiser totals for the last five years. A 2-column table with 5 rows. The first column is labeled year with entries 1, 2, 3, 4, 5. The second column is labeled total (in dollars) with entries 896, 925, 880, 963, 914. How does the mean of the totals compare to the median? The median is $1. 60 greater than the mean.
Answer: B
Step-by-step explanation: edge
please help me that question
Solve each system of linear equations by substitution
Answer:
x=-6-3y/2
Step-by-step explanation:
What is the value of 6(2b-4) when b=5?
Answer:
36
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
6((2)(5)−4)
=(6)((2)(5)+−4)
=(6)((2)(5))+(6)(−4)
=60−24
=36
Solve
14(x-2) +3(x+5) _3(x+8) +5
Answer:
14x - 32Step-by-step explanation:
Solve
14*(x-2) +3*(x+5) -3*(x+8) +5 =
14x - 28 + 3x + 15 - 3x - 24 + 5 =
14x - 32
What is the missing numerator and denominator?
Start Fraction 4 over 14 EndFraction plus blank equals StartFraction 8 over 14 EndFraction
The missing numerator is
.
The missing denominator is
.
Which fraction represents Eight-fourteenths in lowest terms?
Answer:
the missing numerator is 4 and denominator is 4
8/14 In simpliest form is 4/7
Step-by-step explanation:
4/14+4/14=8/14
8 divded by 2=4 14 divded 2=7
urgent sil vous plaît
Answer:
27 and 64
Step-by-step explanation:
Olivia works at a travel agency. She earns 7% commission her sales of airline tickets. How much does she earn when she sells 4 airline tickets, each costing $359.50
Answer:
395.5*.07=27.685* 4 = 110.74
Find the solution to the above system (answer is an ordered pair):
Answer:
x
=
9
,
y
=
1
Explanation:
Adding both equations we get
2
x
=
18
so
x
=
9
and we get for
y
9
+
y
=
10
y
=
1Step-by-step explanation:
Name the scale of the number line shown. 9 13 17 21 25 29
(please hurry)
Answer:
The answer is 4 because the difference of two numbers is 4.
(URGENT BIG REWARD!) SOLVE FOR X
x2 - 3|x - 2| - 4x = - 6
x=4,3,0,1
Hope this helped :)
5 Given the diagram, prove x=23.
(4x) (5x – 27)°
what numeral comes next in the series: 116,113,107,98...?
Step by step have a test tommorow don't know any math need help
Answer:
The next term in the sequence would be 86.
Step-by-step explanation:
116, 113, 107, 98...
The first thing I would do is find the difference between all consecutive terms.
[tex]116-113=3\\113-107=6\\107-98=9[/tex]
The difference increases by 3 for every consecutive term, meaning each consecutive term is decreased by 3 more than the last.
Knowing that pattern, the next term in the sequence must have a difference of 12:
[tex]9+3=12\\98-12=86[/tex]
The next term in the sequence would be 86.
Write the equation of the line in slope intercept form
Answer:
y = 2x + 1
Step-by-step explanation:
what's 9 + 10?
Choose the item that applies to the sentence.
order in which actions occur
Answer:
19
Step-by-step explanation:
HELP! whats bigger -3/2 or -5!?
Answer:
-3/2
Step-by-step explanation:
-5 = -10/2
-10/2 < -3/2
Answer:
-5 is bigger
It is bigger because if you would convert it to a whole number it would be -1.5
