The brand name of Mrs. Fields (cookies) has a 90% recognition rate. If Mrs. fields herself wants to verify that rate by beginning with a small sample of 10 randomly selected consumers, find the probability that exactly 9 of the 10 consumers recognize her brand name. Also, find the probability that the number who recognize her brand name is not nine.

Answers

Answer 1

Answer:

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

Step-by-step explanation:

For each consumer, there are only two possible outcomes. Either they recognize the name, or they do not. The probability of a customer recognizing the name is independent of anu other customer. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The brand name of Mrs. Fields (cookies) has a 90% recognition rate.

This means that [tex]p = 0.9[/tex].

Sample of 10

This means that [tex]n = 10[/tex]

Find the probability that exactly 9 of the 10 consumers recognize her brand name.

This is P(X = 9). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874[/tex]

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

Also, find the probability that the number who recognize her brand name is not nine.

1(100%) subtracted by those who recognize. So

1 - 0.3874 = 0.6126

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.


Related Questions

If m = 2s and n = (2s - 1) / 3 then what is the value of s form m = n ?​

Answers

Answer:

[tex]s = - \frac{1}{4} [/tex]

Step-by-step explanation:

For m to be equal to n,

[tex]2s = \frac{2s- 1}{3} [/tex]

Multiply both sides by 3:

[tex]6s = 2s - 1[/tex]

Minus 2s on both sides:

[tex]4s = - 1[/tex]

Divide by 4 on both sides:

[tex]s = - \frac{1}{4} [/tex]

7/8y + 1/2 = 1 1/5

Solve for y.

Answers

Answer:

y = 4/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

7/8y + 1/2 = 1 1/5

Step 2: Solve for y

Convert to improper fraction:                                                                          7/8y + 1/2 = 6/5[Subtraction Property of Equality] Subtract 1/2 on both sides:                       7/8y = 7/10[Division Property of Equality] Divide 7/8 on both sides:                              y = 4/5

The regional transit authority for major metropolitan area wants to determine whether this relationship between the age of a bus and the annual maintenance cost. A sample of 10 buses resulted in the data located in the attached file above. Answer the following questions: Create a scatter chart using the data from the provided Excel file above. What does the scatter chart indicate about the relationship between age of a bus and annual maintenance cost

Answers

Answer Answer:

The scatter plot indicates that a positive linear relationship exists between the age of a car and its maintenance cost. This is depicted by the positive slope direction which indicates the maintainance cost of the car is will increase as the age of the car increases. If the correlation Coefficient of the data was calculated, a correlation Coefficient value of about 0.934 will be obtained.

Step-by-step explanation:

Check answer

in a bottle there are 370 liters of water. There are 46 small
glasses, which hold only 90 ml per glass. How many extra glasses
are required to transfer all the water from the bottle?​

Answers

Answer:

The number of extra glasses required is 3954.

Step-by-step explanation:

Total volume of water in a bottle = 370 liters

Number of  glasses, N = 46

capacity of each glass = 90 ml = 0.09 liter

The volume of water required to fill 46 glasses is

= 0.09 x 46 = 4.14 liter

The amount of water left = 370 -  4.14 = 355.86 liter

The number of extra glasses required to fill is

n = 355.86/0.09 = 3954

So, the number of extra glasses required is 3954.  

Answer:

l

Step-by-step explanation:

yeha bta hunxa...........

HELP ME PASS THANKS!!!

Answers

h ( - 5 ) = - 2 × ( - 5 )

h ( - 5 ) = 10

____________________

f ( h ( - 5 ) ) = f ( 10 )

f ( 10 ) = 10 / 10 - 8

f ( 10 ) = 10 / 2

f ( 10 ) = 5

Can someone help me answering this question

Answers

Answer: Choice D)

Determine the percentage of values occurring above and below that value

==========================================================

Explanation:

Let's go through the answer choices

A) If we add up all the scores and divide by n, which is the number of scores, then we get the sample mean xbar. We can refer to this as simply the mean. This won't get us the percentile, so we can rule out choice A.B) Subtracting the max and min gets us the range. Range = max - min. We can rule out choice B. C) We can rule out choice C. The steps described here determine the mean absolute deviation (MAD) which is similar in nature to the standard deviation. It tells us how spread out the data set is, so it's somewhat related to the range as well. Unfortunately, we can't figure anything about percentiles with this.D) This must be the answer as there isn't anything left. Turns out this set of steps is the correct method to find the percentile. Technically all you need to do is the "below" portion and ignore the "above" portion of the statement. If we say "the 25th percentile is K", then that is another way of saying "25% of the data is below K".

Answer:

D

Step-by-step explanation:

A poll states that Hillary Clinton will receive 43 percent of the vote. There is an 8 percent margin of error. What do you think of the poll

Answers

Step-by-step explanation:

This system of election result forecast is called a non-representative poll with a high percent margin of error. and used as an alternative to an expensive and tedious representative poll system.

Non-representative polls can be used to produce accurate electoral predictions and may frequently be done faster and cheaper than typical survey procedures.

Not just for the election forecasts, but also for public opinion on a wide variety of social, economic, and cultural topics, non-representative polling appears promising.

Type the correct answer in each box. Use numerals instead of words.
Simplify the following polynomial expression.
(5x2 + 133 – 4) - (17:2 + 74 - 19) + (50 – 7)(3x + 1)
1 2 -
+

Answers

Answer:

14

Step-by-step explanation:

The expression for the polynomial is A = 3x² - 10x + 8

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

A = ( 5x² + 13x - 4 ) - ( 17x² + 7x - 19 ) + ( 5x - 7 ) ( 3x + 1 ) = ax² - bx + c

Let's simplify the left-hand side of the equation using the distributive property and combining like terms:

A = (5x² + 13x - 4) - (17x² + 7x - 19) + (5x - 7)(3x + 1)

A = 5x² + 13x - 4 - 17x² - 7x + 19 + 15x² - 16x - 7

A = 3x² - 10x + 8

Now we have:

a = 3, b = -10, and c = 8

Hence , the final equation is A = 3x² - 10x + 8

To learn more about polynomials click :

https://brainly.com/question/13199883

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EEE
What is the solution to the equation -3(h+5)+2 = 4(h+6)-9?
Oh=-4
Oh = -2
Oh = 2
Oh= 4

Answers

I think so it is Oh=-4

4. Simplify each expression:
a. 14x - 6x + 12
1.
(x - 6)(x - 7)
b. 14 - 4x - 8 + 3x
j.
(7x - 12 + 2y) - (7x + 14 - 2y)
c. 10x2 - 5x + x2 - 5x
k. (x + 4)(x - 6)
d. 4x2 - 10x - 7 - 2x2 + x
I.
(x + 3)(x + 10)
e. 5(2x2 - 4x + 9)
m. 507 - 2x) - 7(4 - 3x)
f. 2(3x² + 7x - 4)
n. -7x + 8(x - 1) + 15
g. 8x(3x - 1)
o. 10x - 8(x - 5)
h. 3x(3x + 10)
p. 4(3 + 2x) + 7(8 - 3x)

Answers

Answer:

a. 8x+12                      

b.6-x                            

c.20-8x

d.-3-9x

e.65-20x

f.6x^2+14x-8

g. 24x^2-8x

h. 9x^2+30x

1. x^2-13x+42

j. 26+4y

k. x^2-2x-24

l. x^2+13x+30

m. 429+23x

n. 15x-7

o. 2x-40

p. 68-13x

Step-by-step explanation:

who’s tryna help me with
my im3 final pls !!

Answers

Answer:

Step-by-step explanation:

Wat

Yeah just post the questions

If a vector v = (3, -4), then what is the value of ||v||?
-1
Square Root 12
5
7

Answers

Answer:  C)  5

======================================================

Explanation:

Any vector of the form v = (a,b) will have a length of |v| = sqrt(a^2+b^2).

This is derived from the pythagorean theorem. It's the same as saying the distance from (0,0) to (a,b) is sqrt(a^2+b^2).

In this case, a = 3 and b = -4, which means...

|v| = sqrt(a^2+b^2)

|v| = sqrt(3^2+(-4)^2)

|v| = sqrt(9+16)

|v| = sqrt(25)

|v| = 5

The vector is 5 units long.

Note: we have a 3-4-5 right triangle

alguem me ajuda
por favor​

Answers

Answer:

sorry I'm confused boy sorryy

A measuring cylinder of radius 3cm contains water to a height of 49cm.if this water is poured into a similar cylinder of radius 7cm, what will be the height of the water column​

Answers

Answer:

9 cm.

Step-by-step explanation:

Volume of a cylinder == pi r^2 h.

The volume of the water is constant so:

pi * 3^2 * 49 = pi * 7^2 h

9 *49 = 49 h

h = 9 cm.

A two dimensional shape with four angles

Answers

Answer:

A rectangle I think

The graph shows two lines, A and B.
6
A
B В
5
4
3
1
0
1 2
3 4 5 6
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer.
Part B: What is the solution to the equations of lines A and B? Explain your answer.

Answers

Answer:

A: 1 solution: the lines intersect at one point

B: (3,4), reference graph for solution

Step-by-step explanation:

A: solutions are equivalent to how many intersections two lines have, and we can see that these lines intersect once and won't intersect again

B: luckily the intersection point is super easy to plot, so we can just reference the graph for our solution!

Please help!!! I have a chance to get $50 if I get all of these questions right!!

If you don't know all the answers please don't answer. Please answer all of the questions correctly like be 110% sure that you are correct on all of them please!! I put the questions in as an attachment like a screenshot please please please help and answer all the questions and answer them with 110% certainty that you know what you are doing!!

Answers

Answer:

number 4 is 244   number 5 is 43

Step-by-step explanation:

order of operations is key here

4:6 to the power of 3 is first

216+7*4

now do 7*4

216+28

now simplify

244

5: this one is a little bit more tricky

do the stuff inside the parentheses first

4^2+1=17

3(17)-2^3

exponent next

3(17)-8

multiply next

51-8

43 is your answer

there you go

Plz help me well mark brainliest if correct!!..

Answers

Answer: A/The LINE graph

Step-by-step explanation:

A square pyramid has a volume of 1350 ft3. If the base is a square with side
lengths 15 feet, what is the height?

Answers

Height = 6 ft

Explanation:
Area of square base = 15 x 15 = 225 ft2

Volume of pyramid = Area of square base x Height
1350 = 225 x Height
1350/225 = Height
Height = 6

Which equation represents the parabola with focus (8, 4) and vertex (8, - 2)

Answers

Answer:

8.4 whic e querido representante the parábola 8.3

Write an equation of the line with a slope of 5/2 and a y intercept of 1

Answers

Answer:

y=5/2x+1

Step-by-step explanation:

y=mx+b

where m=slope and b=y-intercept

so

y=5/2x+1

Which ordered pair belongs to the function shown by this mapping diagram?

Answers

Answer:

{(7, 3), (8, 1), (9, 1), (10, 2)}

Step-by-step explanation:

Options are missing for this given problem, however, let's find the ordered pairs that should belong to the function shown by the mapping above:

We have the x-values (inputs) on our left while the corresponding y-values (outputs) are on our right.

The ordered pairs (x, y) are as follows:

{(7, 3), (8, 1), (9, 1), (10, 2)}

The graph shows the relationship between tablespoons and teaspoons. Determine a rule that relates the number of tablespoons by writing the correct term or value from the tiles in each blank.

Answers

Answer:

Multiply

1/3

Step-by-step explanation:

You can divide by 3 or multiply by 1/3. Since it looks like 3 is grayed out, I guess you have to use the latter.

You can transform V to V' by translating it and then performing a dilation centered at V'. Find the translation rule and scale factor of the dilation.  Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.  Translation: (x, y) -> (___,___) Scale factor: ___​

Answers

Answer:

Translation rule → (x + 10, y + 1)

Scale factor = 4

Step-by-step explanation:

Coordinates of V → (-8, -2)

Coordinates of V' → (2, -1)

Therefore, point V has been translated from x = -8 to x = 2,

Translation on x-axis → 2 - (-8) = 10 units

Translation on y-axis → -1 - (-2) = -1 + 2

                                                  = 1 unit

If the point V is translated 10 units right and 1 unit upwards,

Rule for the translation → (x + 10, y + 1)

Radius of the circle V = 2 units

Radius of the circle V' = 8 units

Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]

                    = [tex]\frac{\text{Radius of the image}}{\text{Radius of the original}}[/tex]

                    = [tex]\frac{8}{2}[/tex]

                    = 4

Therefore, circle V has been dilated by a scale factor of 4 to form circle V'.

A small coffee shop sells bags of two types
of coffee. Bag A contains 24 ounces and
costs $15.60. Bag B contains 30 ounces
and costs $20.40. Which statement is true?


A. Bag A costs 3¢ less per ounce than Bag B.

B. Bag A costs 3¢ more per ounce than Bag B.

C. Bag A costs 2¢ less per ounce than Bag B.

D. Bag A costs 2¢ more per ounce than Bag B.

Answers

the answer to your question is B and D
To answer your question I would say most likely B & D are your best options

Over the course of one day, a store owner determined that 80% of customers bought a drink and 30% of customers bought a snack
If the store sold 120 snacks that day, how many more drinks than snacks did the store sell? Enter the answer in the box.
The store sold 40
more drinks than snacks.

Answers

Maybe 39 make sure i don’t know

Kyle needs to fill the wooden platform he made to make it more stable. What is the volume of the platform?

Answers

Answer:

720 in³

Step-by-step explanation:

v = l * w * h

Break into two parts:

Bottom

v = 12 * 6 * 5

v = 360 in³

Top

v = 8 * 5 * 9

v = 360 in³

Total

v = 360 + 360

v = 720 in³

Why is a square also a rectangle? Use the drop-down menus to complete the explanation.

Answers

A square is also a rectangle because it possesses all the properties of a rectangle. Similar to a rectangle, a square has: interior angles which measure 90° each, opposite sides that are parallel and equal, and many more attributes as well. Keep in mind however that a square is a special type of rectangle because it posseses some additional properties which don't apply to normal rectangles like the fact that all four sides of a square are equal, and diagonals of a square bisect each other at right angles.

I hope this helps! <3

Answer:

Step-by-step expl

A square is also a rectangle because it possesses all the properties of a rectangle. Similar to a rectangle, a square has: interior angles which measure 90° each, opposite sides that are parallel and equal, and many more attributes as well. Keep in mind however that a square is a special type of rectangle because it posseses some additional properties which don't apply to normal rectangles like the fact that all four sides of a square are equal, and diagonals of a square bisect each other at right angles.

PLZ HELP WILL GIVE 50 POINTS - QUADRATIC APPLICATIONS

find how far away (ground distance) from the catapult will white bird be at its highest. (round to the nearest 2 decimal points)
h= -0.114x^2+2.29x+3.5


Answers

Answer:

The bird will be at a ground distance of 10.04 units away.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Equation for the height:

The height of the bird after x seconds is given by:

[tex]h(x) = -0.114x^2 + 2.29x + 3.5[/tex]

Which is a quadratic equation with [tex]a = -0.114, b = 2.29, c = 3.5[/tex].

When the bird is at its highest?

Quadratic equation with [tex]a < 0[/tex], and thus, at the vertex. The ground distance is the x-value of the vertex. Thus

[tex]x_{v} = -\frac{b}{2a} = -\frac{2.29}{2(-0.114)} = 10.04[/tex]

The bird will be at a ground distance of 10.04 units away.

Please help I am so confused and I would really appreciate it ♥️♥️

Answers

It’s A. 4^1 x 2 = 8… 4^2 x 2 = 32… 4^3 x2 = 128… And 4^4 x = 2= 512
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