Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list she doubts the authenticity of the list. She randomly selects five names from the list for validation. If 40% of the names on the list are non-authentic, and x is the number on non-authentic names in her sample, the expected (average) value of x is ______________.
a) 2.50
b) 2.00
c) 1.50
d) 1.25
e) 1.35

Answers

Answer 1

Answer:

b) 2.00

Step-by-step explanation:

For each name, there are only two possible outcomes. Either it is authentic, or it is not. The probability of a name being authentic is independent of any other name. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

She randomly selects five names from the list for validation.

This means that [tex]n = 5[/tex]

40% of the names on the list are non-authentic

This means that [tex]p = 0.4[/tex]

The expected (average) value of x is

[tex]E(X) = np = 5*0.4 = 2[/tex]

The correct answer is given by option B.


Related Questions

Enter the product as a product of a hole number and unit fraction. 2 x 5/4.

Answers

2 1/2 or 2.5 i’m not really sure

An arm wrestler is the champion for a period of 75 hours. (Here, by an hour, we mean a period starting from an exact hour, such as 1 P.M., until the next hour.) The arm wrestler had at least one match an hour, but no more than 125 total matches. Show that there is a period of consecutive hours during which the arm wrestler had exactly 24 matches.

Answers

Answer:

The answer is "In the i-th to J-th hour, the Wrestler played only 24 match-ups".

Step-by-step explanation:

Let [tex]x_i[/tex] label the number of teams played by the wrestler for [tex]1 \leq i \leq 75[/tex], after i-th hour, where [tex]1 \leq x_i \leq 125[/tex].   This also means [tex]25 \leq x_i + 24 \leq 149[/tex]. The Pigeonhole Principle means that [tex]\ni i \neq j \ni x i+ 24 = x ,j[/tex] is played exactly 24 matches  between the i-th and j-th-hours end. Thus, 150 integrals [tex]x_1,x_2,......x_{75}, x_1+24,x_2+24.[/tex]  In the i-th to J-th hour, the Wrestler played only 24 match-ups.

please help it due today? ​

Answers

Answer:

B. It has four right angles.

E. opposites side are parallel.

F. Diagonal are congruent.

answer
y=-0.0241x^2+x+5.5

Answers

Here is the answer!!!!!!!!

What is the area of the kite? 10 yd 4 yd 6 yd 4 yd ​

Answers

the area of a kite would be 6 ts

What is the area, in square meters, of the shape below?

Answers

Answer:

20.9 i think

Step-by-step explanation:

Answer:

10.45

Step-by-step explanation:

h=3.8

b-5.5

5.5 multiply 3.8 =20.9

this is a triangle so divide 20.9 by 2

=10.45

Two rules for creating a pattern are given below. Each rule begins with a number called the input and creates a number called the output.

Rule 1: Subtract 8 from the input to get the output.

Rule 2: Divide the input by 3 to get the output.

Which input and output table works for both rules?

Choose 1 answer:

(Choice A)

Input Output
18 6

(Choice B)

Input Output
12 4

(Choice C)

Input Output
16 8

Answers

Answer:

None of the above

Step-by-step explanation:

Because when you subtract 8 and divide by 3 any on these inputs, none of them result in the output.

A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.​

Answers

9514 1404 393

Answer:

  113.57 square units

Step-by-step explanation:

The area of each of the 6 triangular faces is ...

  A = 1/2bh

  A = (1/2)(4)(6) = 12 . . . . square units

The area of the base is ...

  A = (3√3)/2·s² . . . . . . for side length s

  A = (3√3)/2×4² = 24√3 . . . . square units

Then the total area is ...

  total area = base area + face area

  = 24√3 + 6(12) = 24(3 +√3) ≈ 113.57 . . . square units

Enter an algebraic expression that represents fifteen less than the sum of y cubed and seven.

Answers

Answer:

y^3 + 7 - 15

Step-by-step explanation:

Solve for x.
15x + 6 = 10x + 21
O x=5
O x= 5 2/5
Ox= 3
Ox=-5 3/5
Will give you brainly

Answers

Answer:

3

Step-by-step explanation:

15x+6=10x+21

5x=15

x=3

Answer: x=3

Step-by-step explanation:

[tex]15x+6=10x+21\\5x+6=21\\5x=15\\x=3[/tex]

5 1/3 divided by 1 1/6

Answers

Answer:

4 4/7

Step-by-step explanation:

16/3 ÷ 7/6 is the same as 16/3 × 6/7

this comes out to be 32/7 or 4 4/7

Answer:

10/7

Step-by-step explanation:

use the desmos calculator its pretty helpful


Click to select the correct answers. Click again to unselect answers. Leave the incorrect answers unselected.
Supplier B has four outliers
Supplier A has two outliers
Supplier A has a gap at 598.5
Supplier B has a gap below 597.0
Supplier B has one outlier
Supplier A has no outlier

Answers

Answer c e f

Step-by-step explanation:

Given the graph of f(x) above, what is f(-4) *

Answers

Answer:

2

Step-by-step explanation:

go to -4 on the x axis, then see which point the line is on, on the y axis.

Help please I need it DONT scam
Which coordinate grid shows points and plotted at (4.3)

Answers

Answer:

B

Step-by-step explanation:

(x-coordinate, y-coordinate) and the horizontal axis refers to the x-axis and the vertical axis refers to the y-axis.

B shows the ordered pair (4,3)

help me please 29 points


i need chars lol

Answers

Answer:

3rd answer

Step-by-step explanation:

Answer:

whats chars?

Step-by-step explanation:

Find the area base = x+8 height x+7

Answers

9514 1404 393

Answer:

  x² +15x +56

Step-by-step explanation:

We presume these are dimensions of a rectangle, so the area is their product.

  A = (x +8)(x +7) = x(x +7) +8(x +7) = x² +7x +8x +56

  A = x² +15x +56

On the unit circle, the m∠θ = π radians. Which is the coordinate?

Answers

The coordinates would be (0,1) due to the unit circle

2 5/6 x 3 7/8 plss help

Answers

Answer:

Exact form: 925/48

Decimal form: 19.27083

Mixed number form: ↓↓↓↓

[tex]19 \times \frac{13}{48} [/tex]

Step-by-step explanation:

hope that helps :) have a good day!

What is the remainder when 7x^2- x^3is divided by x - 8?

Answers

Answer:

The remainder is -64

Step-by-step explanation:

Given

[tex]7x^2 - x^3[/tex]

Divided by [tex]x - 8[/tex]

Required

Determine the remainder

Equate [tex]x - 8[/tex] to 0

[tex]x - 8 = 0[/tex]

Solve for x

[tex]x = 8[/tex]

Using remainder theorem, substitute 8 for x in [tex]7x^2 - x^3[/tex]

So, we have:

[tex]7 * 8^2 - 8^3[/tex]

Evaluate all exponents

[tex]7 * 64 - 512[/tex]

[tex]448 - 512[/tex]

[tex]-64[/tex]

A rectangular carport has area of one 50 ft.The width of the carport is 5 feet less than twice its length. Find the length and width of the carport

Width= ? feet,
Length= ? feet

Answers

Answer:

[tex]Length = 10ft[/tex]

[tex]Width = 15ft[/tex]

Step-by-step explanation:

Given

[tex]W= Width\\ L = Length[/tex]

[tex]Area = 150[/tex]

[tex]W=2*L- 5[/tex]

Required

Determine the dimension

Area is calculated as:

[tex]Area = L * W[/tex]

So, we have:

[tex]L * W = 150[/tex]

Substitute: [tex]W=2*L- 5[/tex]

[tex]L * (2*L-5) = 150[/tex]

[tex]L * (2L-5) = 150[/tex]

Open bracket

[tex]2L^2 - 5L = 150[/tex]

Rewrite as:

[tex]2L^2 - 5L - 150=0[/tex]

Expand

[tex]2L^2 -20L + 15L - 150 = 0[/tex]

Factorize:

[tex]2L(L -10) + 15(L - 10) = 0[/tex]

[tex](2L + 15) (L - 10) = 0[/tex]

Split

[tex]2L + 15=0[/tex] or [tex]L -10 = 0[/tex]

Solve for L

[tex]2L =-15[/tex] or [tex]L = 10[/tex]

L cannot be negative

So:

[tex]L = 10[/tex]

Substitute [tex]L = 10[/tex] in [tex]W=2*L- 5[/tex]

[tex]W = 2 * 10 - 5[/tex]

[tex]W = 20 - 5[/tex]

[tex]W = 15[/tex]

Hence:

[tex]Length = 10ft[/tex]

[tex]Width = 15ft[/tex]

According to Wine-Searcher, wine critics generally use a wine-scoring scale to communicate their opinions on the relative quality of wines. Wine scores range from to , with a score of indicating a great wine, indicating an outstanding wine, indicating a very good wine, indicating a good wine, indicating a mediocre wine, and below indicating that the wine is not recommended. Random ratings of a pinot noir recently produced by a newly established vineyard in follow: Excel File: data07-11.xlsx 87 91 86 82 72 91 60 77 80 79 83 96 a. Develop a point estimate of mean wine score for this pinot noir (to decimals).

Answers

Answer:

[tex]\=x=82[/tex]

Step-by-step explanation:

From the question we are told that:

Data

[tex]\begin{center}\begin{tabular}{ |c|c|c|c|c|c| } 87& 91& 86& 82& 72&91 \\ 60& 77& 80& 79& 83&96 \end{tabular}\end{center}[/tex]

Generally the equation for Point estimate [tex]\=x[/tex] is mathematically given by

[tex]\=x=\frac{\sum_x}{n}[/tex]

[tex]\=x=\frac{87 +91+ 86+ 82 +72 +91+ 60+ 77 +80+ 79+ 83 +96}{12}[/tex]

[tex]\=x=\frac{984}{12}[/tex]

[tex]\=x=82[/tex]

PLEASE HELP! WILL GIVE BRAINLIEST!
Create a factorable polynomial with a GCF of 6. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.

Answers

Answer:

Answer: the equivalent form of 6(2x+3x+10) are 12x+18x + 60 and 30x+60.

Hope this helps

Answer:

The equivalent form of 6(2x+3x+10) is 12x+18x + 60 and 30x+60.

Explanation:

12x+18x + 60 is one of the equivalent form of 6(2x+3x+10) To get another equivalent form we combine like terms.

30x + 60 is the equivalent form of 6(2x+3x+10)

Solve by completing the square:
x^2 + 3x - 9 = 0

Answers

Answer:

Step-by-step explanation:

x^2 + 3x - 9 =0

By comparing with the equation ax^2+bx+c = 0,

we get,

a = 1, b=3, c = -9

we know the formula for x is,

x = (-b±√(b^2 - 4ac))/2a

x = (-3±√45)/2

x = (-3±3√5)/2

x = (-3+3√5)/2, (-3-3√5)/2

Answer:

2 solutions. x = -3/2 + 3/2 * sqrt(5) and x = -3/2 + -3/2 * sqrt(5)

Step-by-step explanation:

Let's solve your equation step by step.

x^2 + 3x −9 = 0

For this equation: a=1, b=3, c=-9

1x^2 + 3x+ −9 = 0

Step 1: Use quadratic formula with a=1, b=3, c=-9.

x = (-b ± [tex]\sqrt{b^2 - 4ac}[/tex])/2a

x = (-3 ± [tex]\sqrt{3^2 - 4(1)(-9)}[/tex])/2a

x = (-3 ± [tex]\sqrt{45}[/tex])/2

x = -3/2 + 3/2 * sqrt(5) or x = -3/2 + -3/2 * sqrt(5)

A circle has a diameter of 46 cm. What is its radius?

Answers

Answer:

Step-by-step explanation:

radius = diameter/2 = 46cm/2 = 23 cm

Which of the following functions shows the cube root parent function,
F(x) =3sqrt xhorizontally compressed

Answers

The function which shows the cube root of parent function is; Choice A; G(x) = ³√(1/4)x.

What is the function that shows the cube root of the parent function?

It follows from task content that upon observation and test of values that;

At point x = 4, G(x) = 1.

This of course stands through for the graph and hence Choice A; is correct.

Read more on graph of functions;

https://brainly.com/question/3939432

#SPJ2

Answer:

Correct answer is C.

Step-by-step explanation:

Did the test

a Clark $200 per week. she also receive a commission a 20% of her weekly salary every time she cells an Appliance. how many appliances must the clark sell in order to gtow $800 per week?

A.15

B. 40

C. 10

D. 50

E. 20​

Answers

Answer:

20......................................................................................

4x + 3/2x +9 solve for x

Answers

........................

Graph 3x – 4y = 12 use slope intercept

Answers

Y=3/4x-3
Plot -3 on the y axis then go up 3 and right 4

Write an algebraic expression: The area, A, or a rectangle with a length of 4 units and a width of w units

Answers

Answer:

If the length is 4 units greater than W then it is equal to w*4..

Step-by-step explanation:

A=L*W

A=4*w

A=w*4 or A=4w

In Devon's school, the morning session runs for a total of 182 minutes. The morning session
includes 4 class periods of equal length and a homeroom period that lasts for 10 minutes.
Using the variable m to represent minutes, write an equation that can be used to find the
length of each class period. Then solve for m.

Answers

Answer:

Every class period is 43 minutes long.

Equation:

(m - 10) ÷ 4

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