Answer:
The probability of a selection of 50 pages will contain no errors is 0.368
The probability that the selection of the random pages will contain at least two errors is 0.2644
Step-by-step explanation:
From the information given:
Let q represent the no of typographical errors.
Suppose that there are exactly 10 such errors randomly located on a textbook of 500 pages. Let [tex]\mu[/tex] be the random variable that follows a Poisson distribution, then mean [tex]\mu = \dfrac{10}{500}= 0.02[/tex]
and the mean that the random selection of 50 pages will contain no error is [tex]\lambda = 50 \times 0.02 =1[/tex]
∴
[tex]Pr(q= 0) = \dfrac{e^{-1} (1)^0}{0!}[/tex]
Pr(q =0) = 0.368
The probability of a selection of 50 pages will contain no errors is 0.368
The probability that 50 randomly page contains at least 2 errors is computed as follows:
P(X ≥ 2) = 1 - P( X < 2)
P(X ≥ 2) = 1 - [ P(X = 0) + P (X =1 )] since it is less than 2
[tex]P(X \geq 2) = 1 - [ \dfrac{e^{-1} 1^0}{0!} +\dfrac{e^{-1} 1^1}{1!} ][/tex]
[tex]P(X \geq 2) = 1 - [0.3678 +0.3678][/tex]
[tex]P(X \geq 2) = 1 -0.7356[/tex]
P(X ≥ 2) = 0.2644
The probability that the selection of the random pages will contain at least two errors is 0.2644
The possibility of a random selection of 50 pages will contain at least two errors is [tex]0.264242[/tex].
To understand the calculations, check below
Probability:Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are to happen, using it.
Let [tex]X[/tex] denotes the number of errors on [tex]50[/tex] randomly selected pages.
[tex]X\sim Poisson(\frac{50}{500}\ast 10)[/tex] or [tex]X\sim Poisson(1)[/tex]
The probability mass function of [tex]X[/tex] is,
[tex]P\left ( X=x \right )=\frac{e^{-1}\ast 1^{x}}{x!}=0,1,2...[/tex]
Now,
The probability that a random selection of [tex]50[/tex] pages will contain no errors,
[tex]=P\left ( X=0 \right ) \\ =\frac{e^{1}\ast 1^{0}}{0!} \\ =0.367879[/tex]
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Find the LCM 6 and 12
Find the equation of the line in slope intercept form parallel to 5x−5y=−2 and goes through the point (−10,4) y=?
Answer:
y = x + 14
Step-by-step explanation:
given
5x−5y=−2, we'll rearrange this into slope - intercept form
5x + 2 = 5y
5y = 5x + 2 (divide both sides by 5)
y = x + (2/5)
recall that the general equation of the slope-intercept form of a linear equation:
y = mx + b, the value of m represents the slope of the line
in our case, comparing the above equations, it is clear that the slope m = 1.
We are given that our line is parallel to the above line, hence it will also have a slope of 1.
if we substitute m = 1 into the general equation, we will get
y = x + b
in order to find the value of b, we will substitute the given point (-10,4) into the equation:
4 = -10 + b (add 10 to both sides)
b = 4 + 10
b = 14
hence our equation is y = x + 14
Which option completes the explanation for conflict of interest in an organization?
The organization wants you to avoid situations that make you choose between its overall benefit and your _______
Answer:
personal gain
Step-by-step explanation:
it was on a quizlet flashcard
4. What is the least common denominator of: *
7
12
and
5
6
Answer:
Step-by-step explanation:
LCM of 7/12 and 5/6
12: 12, 24
6: 6, 12
LCM: 12
I need help simplifying -10x-x
Answer and Step-by-step explanation:
-11x
You just combine all your like terms together and it should leave you with -11x
Hope you found this helpful! ^-^
Last year a restaurant chain spent 3.3 X 106 dollars
opening new restaurants. This year the restaurant will
spend 9.9 X 105 dollars. Which statement is true?
А The restaurant spent $330,000 dollars last year.
B This year the restaurant will spend $9,900,000.
C The restaurant spent 6.6 X 106 dollars more this
year than last year.
D This year the restaurant will spend about 0.3 times
the amount it did last year.
HELP
A ratio that compares a quantity to 100 is a/an....
Group of answer choices
1.Rate
2.Percent
3.Equivalent Ratio
Answer: percent
Step-by-step explanation: 1 out of 100 is 1%
Lcm of 12,16,24,32,36
Answer:
288
Step-by-step explanation:
24 is a multiple of 12, and 36 is a multiple of 12, so the LCM of 24, 32, and 36 will also be the LCM for 12 and 16.
24 = 2^2 * 3
32 = 2^5
36 = 2^2 * 3^2
LCM = 2^5 * 3^2
LCM = 288
As a sales person, you earn $200 plus two sevenths of your sales. What dollar amount of sales do you need this week to $500?
Answer:
You need $1050 worth of sales to make $500 this week.
Step-by-step explanation:
First make an equation,
The equation would be [tex]\frac{2}{7} s +200 = 500[/tex]
S is your sales
Second, solve the equation
minus 200 from 500
multiply 300 with the reciporcal of 2/7
Third, you should have the answer now.
s = 1050
Point C is located at (2,8). If it is reflected across the x axis, where will C be located?
Answer:
(2, -8)
Step-by-step explanation:
The answer is (2, -8) because when you reflect a point across the x-axis, the x-coordinate always remains the same, but the y-coordinate will change. In other words, the y-coordinate becomes the opposite (signs change). In this case, since the y-coordinate was positive 8, when you reflect the point across the x-axis, the y-coordinate will change to -8
you have $53 in your bank account. you deposit $127. then you withdraw $40 . how much money is in your account now?
$53 + $127 - $40 = $140
Answer:
Step-by-step explanation:
53+127=180 so $180 total
180-40=140
$140
- 3 (n-3)-5
simplify the expression using distributive property please rnnn
|5.9| + |-22|
Hope you can answer
Answer:
27.9
Explanation:
As you can see they both have an absolute value because they are both in between the 2 lines. So you have to change both of them into a positive number. You would get 5.9+22 which would equal 27.9
simply 4x+6=6(x+1)-2x
Answer:
Many solutions
Step-by-step explanation:
First, you distribute the 6 into the parenthesis:
4x+6=6(x+1)-2x
4x+6=6x+6-2x
4x+6=4x+6
subtract 6 from both sides
4x=4x
All real numbers can be the solution
Hope this helps!
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A taxi company states that a driver drives about 575 miles per day and that this amount can vary by as much as 45 miles. What are the maximum and minimum numbers of miles a driver will drive in a day?
Answer:
323
Step-by-step explanation:
help please! i appreciate it
Answer:- 1) there are three terms
2) 3,4,1
A survey conducted with 50 people on the ice cream flavor they like.It was found out that 28 like chocolate,15 like mango,and 20 likes strawberry.Futhermore,8 like chocolate and strawberry,11 like mango and strawberry,7 like chocolate and mango,and 4 people like all the 3 flavors.
Find the number of people who like.
A.Chocolate Only
B.Mango only
C.Strawberry Only
D.Chocolate and strawberry
E.None of the flavors
Answer:
A. Chocolate Only = 17
B. Mango only = 1
C.Strawberry Only = 5
D.Chocolate and strawberry = 4
E.None of the flavors = 9
Step-by-step explanation:
Kindly check attached picture for detailed explanation
A set is a group of related item.
17 like chocolate only1 likes mango only5 like strawberry only4 like chocolate and strawberry only4 like noneLet:
[tex]C \to Chocolate[/tex]
[tex]M \to Mango[/tex]
[tex]S \to Strawberry[/tex]
So, we have:
[tex]C = 28[/tex]
[tex]M = 15[/tex]
[tex]S = 20[/tex]
[tex]n(C\ n\ S) = 8[/tex]
[tex]n(M\ n\ S) = 11[/tex]
[tex]n(C\ n\ M) = 7[/tex]
[tex]All = 4[/tex]
[tex]n(U) = 50[/tex] -- the population
(a) Chocolate only.
This is calculated as:
[tex]C\ only = C - n(C\ n\ S) - n(C\ n\ M) + All[/tex]
So, we have:
[tex]C\ only = 28 - 8 - 7 + 4[/tex]
[tex]C\ only = 17[/tex]
(b) Mango Only
This is calculated as:
[tex]M\ only = M - n(M\ n\ S) - n(C\ n\ M) + All[/tex]
So, we have:
[tex]M\ only = 15 - 11 - 7 + 4[/tex]
[tex]M\ only = 1[/tex]
(c) Strawberry only
This is calculated as:
[tex]S\ only = S - n(M\ n\ S) - n(C\ n\ S) + All[/tex]
So, we have:
[tex]S\ only = 20 - 11 - 8 + 4[/tex]
[tex]S\ only = 5[/tex]
(d) Chocolate and strawberry
This has already been given as:
[tex]n(C\ n\ S)\ only=n(C\ n\ S) - All[/tex]
[tex]n(C\ n\ S)\ only=8 - 4[/tex]
[tex]n(C\ n\ S)\ only = 4[/tex]
(e) None
See attachment for the Venn diagram that represents the set
Subtract the sum of all the numbers in the Venn diagram from the total (50)
[tex]None = 50 - (17 + 1 + 5 + 4 + 4 + 7 + 3)[/tex]
[tex]None = 9[/tex]
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Find the value of x
Answer:
x° = 123
Step-by-step explanation:
this triangle is isoceles so it has 2 congruent angles.
let y be the second angle
the sum of a triangle's angle is 180°
[tex]180 = 66 + y + y \\180 = 66 + 2y[/tex]
add [tex]-66[/tex] to both sides
[tex]180 - 66 = 2y + 66 - 66 \\114 = 2y[/tex]
divide both sides by 2
[tex]\frac{114}{2} = \frac{2y}{2}[/tex]
[tex]57 = y[/tex]
we khow that [tex]x + y = 180[/tex]
[tex]x + y = 180 \\x + 57 = 180[/tex]
add -57 to both sides
[tex]x + 57 - 57 = 180 - 57 \\x = 123[/tex]
Clint and Max worked out at the gym together today. Clint works out at the gym every 4 days. Max works out at the gym every 6 days. How many days until they both work out at the gym on the same day again?
Answer:
24 days
Step-by-step explanation:
To determine the number of days until they both work out at the gym on the same day again,
Find the lowest common multiples of 4 days and 6 days
Clint (4 days) = 8, 12, 16, 20, 24, 28, 32
Max (6 days) = 12, 18, 24, 30, 36, 42
The lowest common multiple of ,4 days and 6 days is 24 days
Therefore, the number of days until they both work out at the gym on the same day again is 24 days
Answer:
no its not 24 its 12
Step-by-step explanation:
6 plus 6 is12 and clint has to work 8 more days to get to 12
PLEASE SEND HELP!!! I need to finish this test in 20 minutes.
Answer:
b
Step-by-step explanation:
this is the answer
Millie lives in home valued at $195,000 and her mortgage is $160,000. She has $3200 in her saving accounts. What is her net worth?
685,000
Step-by-step explanation:
195000
160000
3200
685000
The heights of four students are 148.5 centimeters, 146.9 centimeters, 148.2 centimeters, and 148.75 centimeters. Kylie is the tallest. Elly is taller than Jessica, but shorter than Elizabeth. Jessica is the shortest. What is Elizabeth’s height?
The total height of a 1-foot tall birdbath if it’s placed on a base that is b feet tall- put into an expression
iTS C THANK MEH LATER BAIIII
9. Hannah solved an equation as shown below.
4(x - 6) = 14
4x – 24 = 14
4x = 38
19
X=-
2
In her solution, Hannah applied three properties:
1. Division Property of Equality
II. Addition Property of Equality
III. Distributive Property
In which order did she use the properties?
a) I, II, III
c) III, II, I
b) II, III, I
d) III, I, II
Find the quotient (-6) divided by (-7)
Answer:
I got a decimal
Step-by-step explanation:
0.857142857
Answer:
Step-by-step explanation:
Complete the sentence to make it true statements 6 is 100 times
Answer:
6 is 100 times 0.06
Step-by-step explanation:
0.06 times 100 = 6
If 8 is an angle in standard position and its terminal side passes through the point (21,20), find the exact value of cos 0 in simplest radical form.
Answer:
so x = 20 , y = -21 , which is in quad IV
r^2= 400+441 = 841
r = √841 = 29
then cos Ø = 20/29
sec Ø = 29/20 = 1.45
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The exact value of cos [tex]\theta[/tex] is 21/29.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have, point (21, 20)
So, Adjacent side= 21 and opposite side= 20
Using Pythagoras theorem
H= √ 21² + 20²
H= √441 + 400
H= √841
H= 29 unit
So, the trigonometric ratio
cos [tex]\theta[/tex] = Adjacent side/ H
cos [tex]\theta[/tex] = 21/29
Thus, the exact value of cos [tex]\theta[/tex] is 21/29.
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The midpoint of GH are M(4,3) and D(5,-6). The coordinates of the endpoint are?
Answer:
The endpoint coordinates are (3,12)
Step-by-step explanation:[tex]\frac{5+x^{2} }{2} =4[/tex] [tex]\frac{-6+y^{2} }{2} = 3[/tex]
You multiply 4 by 2 which gives you 8 and write the equation[tex]5+x^{2} =8[/tex] then you subtract 5 from 8 to get 3 for the x coordinate.
You multiply 3 by 2 which gives 6 and writhe the equation[tex]-6+y^{2}=6[/tex] then you substitute the -6 for +6 and add +6 and 6 to get 12 for the y coordinate.
To check use the midpoint formula with coordinates D and your endpoint coordinates[tex]\frac{5+3}{2}=\frac{8}{2} =4 \\[/tex] [tex]\frac{-6+12}{2} =\frac{6}{2} =3[/tex] and you get the answer for the midpoint which is (4,3)
The sum of 4 consecutive integers is 78. What are the 4 integers?
Help please
Answer:19,20,21 and 22
Step-by-step explanation: if this is for a test your welcome bud.
15 Points!!! Which system of inequalities is shown?
a. y < x
y > 2
b. y < x
y < 2
c. y > x
y < 2
d. y > x
y > 2
Answer:
they are equal so what one shows that they rise 2 run 2
Step-by-step explanation:
The correct option is Option A: The system of inequalities that are shown within the graph are in y < x and y > 2.
What is inequality?
Inequality means the relation that creates a non-equal comparison between two numbers or other expressions. It is the condition of unequalness. A system of inequalities is a set of two or more inequalities in one or more than one variables.
According to the question,
For the given condition,
The graph basically shows the inequality relationship between x and y.
The correct system of inequality is found by plotting all the choices within the graph.
The graph below shows the system of inequalities as shown for the expression,
Therefore, the system of inequalities that are shown within the graph is in option (a) i.e y < x and y > 2.
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