A recent report found that a local creamery has a 35% market share in a certain region. Employees in the marketing
department of the creamery conduct a survey to confirm the results by randomly selecting 300 residents from the regon
The employees asked the question which brand of ice cream do you usually purchase to each resident Use a normal
approximation to calculate the probability that at most 80 of these people will choose the creamery's brand. Use a T1-83,
83 plus, or T-34 calculator to find the probability
- Round your answer to four decimal places


Answers

Answer 1

Using the normal approximation to the binomial, it is found that there is a 0.0015 = 0.15% probability that at most 80 of these people will choose the creamery's brand.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].

In this problem:

35% market share, hence [tex]p = 0.35[/tex].300 residents are surveyed, hence [tex]n = 300[/tex].

The mean and the standard deviation are given by:

[tex]\mu = np = 300(0.35) = 105[/tex]

[tex]\sigma = \sqrt{np(1-p)} = \sqrt{300(0.35)(0.65)} = 8.26[/tex]

Using continuity correction, the probability that at most 80 of these people will choose the creamery's brand is [tex]P(X \leq 80 + 0.5) = P(X \leq 80.5)[/tex], which is the p-value of Z when X = 80.5, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{80.5 - 105}{8.26}[/tex]

[tex]Z = -2.97[/tex]

[tex]Z = -2.97[/tex] has a p-value of 0.0015.

0.0015 = 0.15% probability that at most 80 of these people will choose the creamery's brand.

A similar problem is given at https://brainly.com/question/25298431


Related Questions

hii i need help! write the inequality represented by the graph below.

Answers

95252226!!
0363373
44448

The table shows the shipping fee options for two online marketplaces.



Online Market Shipping Fees
Deals Flat fee of $12
Sell Ur Stuff 11% of selling price


If you sell a smart phone online for $115, how much will you pay if you use the online market with the lesser fee?

Answers

Since 11% of $115 is $12.65, it is convenient to pay the flat fee of $12.

If you sell a smart phone online for $115, to determine how much you will pay if you use the online market with the lesser fee, the following calculation must be performed:

115 x 0.11 = X 12.65 = X

Thus, since 11% of $115 is $12.65, it is convenient to pay the flat fee of $12.

Learn more in https://brainly.com/question/25206811

The queen marys 2’d height above water is about the same as a 14 story building, what is the queen mary twos height above water, pls help this is due today

Answers

Answer: Length 1,132 ft

Step-by-step explanation: Im not sure if this is the one your talking about but here.

1)the fish vendor sells 5/7 kilos of bangus for 75.50. if you will buy 2 1/7 kilos of bangus,how much will cost?​

Answers

Answer: 好吧,您看到当您将其乘以 73 然后除以 时,您将获得免费的旁遮普语和免费的,乔·佩珀将在凌晨 3 点拜访您

Step-by-step explanation: 详见附件

Translate the sentence into an equation.
Eight more than the quotient of a number and 2 is 6.
Use the variable b for the unknown number.

Answers

Step-by-step explanation:

8 + b/2 = 6

8 more than the quotient of is 6

a number and 2

A group of friends wants to go to the amusement park. They have no more than $280
to spend on parking and admission. Parking is $19.50, and tickets cost $33.75 per
person, including tax. Which inequality can be used to determine p, the maximum
number of people who can go to the amusement park?

Answers

Answer:

Step-by-step explanation:

5.25 + 17.75x ≤ 165

17.75x ≤ 159.75

x = 9 people (Assuming they all fit in one vehicle)

Wish You the Best in your Studies.

The number of people who can enter in the amusement park is 7.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Several buddies want to visit the theme park. They may only spend a total of $280 for parking and entrance. Tickets cost $33.75 per person, including tax, and parking is $19.50.

Let p be the number of people who can enter in the amusement park. Then the inequality is given as,

33.75p + 19.50 ≤ 280

Simplify the inequality, then the value of p is given as,

33.75p + 19.50 ≤ 280

33.75p ≤ 260.50

p ≤ 7.72

Thus, the number of people who can enter in the amusement park is 7.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ5

QUICK HURRY I NEED THE ANSWER TOO 10(-11) HURRY!!!!!

Answers

Answer:

-110

Step-by-step explanation:

Answer:

-110

Step-by-step explanation:

Which of the following is a polynomial?
A.
(x - 2)
(x4 +3)

B. X2 - 1

C. A + x 4 + 16

D. 1/x +2

Answers

Answer:

A, B, C

Step-by-step explanation:

Assuming the choices are:

A. [tex](x-2)(x^{4}+3)[/tex]

B. [tex]x^{2} -1[/tex]

C. A+[tex]x^{4} +16[/tex]

D. [tex]\frac{1}{x} +2[/tex]

Put simply, a polynomial in this case will be a function that has at least one variable raised to a power greater than 1.

Choice A already has a variable raised to a power greater than 1 ([tex]x^{4}[/tex]), so no additional manipulation is needed.

Choice B also has a term that is already raised to a power greater than 1 ([tex]x^{2}[/tex]). It is the same for choice C ([tex]x^{4}[/tex]).

Choice D does not have an obvious variable raised to a power greater than 1. When the equation is manipulated it becomes [tex]x^{-1} +2[/tex]. Since -1 is less than 1, choice D is not a polynomial.

Answer:

Option D

Step-by-step explanation:

[tex]\\ \sf\longmapsto \dfrac{1}{x}+2[/tex]

Simplify

[tex]\\ \sf\longmapsto x^{-1}+2[/tex]

Degree is less than 1 .It's not a polynomial

What is the area of the rectangle?

Answers

Answer:

60

Step-by-step explanation:

multiply length times width l x w

length is 10

width is 6

10 x 6 is 60

The area of the rectangle is 54.
The length of the rectangle is 9, while the width of the rectangle is 6. To find the area, you must multiply length • width.
9•6=54

136 is 0.8​% of what​ number? Use pencil and paper. Would you expect the answer to be a lot less than 136​, slightly less than 136​, slightly greater than 136​, or a lot greater than 136​? Explain.

Answers

Bbbnnbbnnnnnnnjjjjhgcccyhcvhjvvjjbjvivvi

20 POINTS PLEASE HELP ASAP!

Answers

Answer: increasing . . . positive . . . 2

Step-by-step explanation:

As best as I can tell . . .:

increasing . . . positive . . . 2.

The equation describing this line is y = 2x + 2

It has a positive (increasing) slope of 2 (with a y-intercept of +2).

PLEASE HELP THANK YOU AND HAVE A GOOD DAY!

Answers

Answer:c

Step-by-step explanation:c because u gotta look closwely

c

expand the brackets (x+5)(3x-2).

Answers

Answer: 3x^2 +13x - 10

Step-by-step explanation:

(x+5)(3x-2) = x(3x-2) + 5(3x-2)

x(3x-2) + 5(3x-2) = 3x^2 - 2x + 15x - 10

3x^2 - 2x + 15x - 10 = 3x^2 + 13x - 10

Answer:

3x²+13x-10

Step-by-step explanation:

(x+5)(3x-2)x(3x-2)+5(3x-2)3x²-2x+15x-103x²+13x-10

Sixty tickets at $50 each cost

Answers

Answer:

$3000

Step-by-step explanation:

1 ticket = $50

Therefore, 6 ticket = 6x50

=$3000

Factor the Trinomial 6x^2 -23x +20
(And please show the work/steps.)

Answers

Step-by-step explanation:

6x²-23x+20

=>6x²-8x-15x+20

=>2x(3x-4)-5(3x-4)

=>(3x-4)(2x-5)

hope this helps you.

Step-by-step explanation:

the answer is in the image above

Please help with this math problem! :)

Answers

Answer:

look at the photo..................

Answer:

x = 4.8 , y = 4

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{KJ}{NP}[/tex] = [tex]\frac{KL}{NM}[/tex] , substitute values

[tex]\frac{x}{3}[/tex] = [tex]\frac{8}{5}[/tex] ( cross- multiply )

5x = 24 ( divide both sides by 5 )

x = 4.8

and

[tex]\frac{JL}{PM}[/tex] = [tex]\frac{KL}{NM}[/tex] , that is

[tex]\frac{6.4}{y}[/tex] = [tex]\frac{8}{5}[/tex] ( cross- multiply )

8y = 32 ( divide both sides by 8 )

y = 4

Consider the following incomplete deposit ticket:A deposit ticket. The amounts deposited were 782 dollars and 11 cents and 564 dollars and 64 cents. The subtotal was 1346 dollars and 75 cents. The total after cash received is 888 dollars and 18 cents.How much cash did Liz receive?

Answers

The amount of cash Liz received is; 458 dollars and 57 cents.

The amounts deposited were as follows;

782 dollars and 11 cents 564 dollars and 64 cents

The subtotal is therefore; 1346 dollars and 75 cents.

Since, the total after cash received is; 888 dollars and 18 cents.

The amount of cash received by Liz is;

1346 dollars and 75 cents - 888 dollars and 18 cents.

=458 dollars and 57 cents.

Read more on deposit ticket:

https://brainly.com/question/3044615

Answer:

A) 1145.39 on Edge

Step-by-step explanation:

Just took test :)

If the chick grows at a rate of 4.8 grams/day and weighs 53.8 grams on day 4, how much did the chick weigh (in grams) the day it hatched?

Answers

Answer:

Step-by-step explanation:

y = 4.8x + C

53.8 = 4.8(4) + C

53.8 = 19.2 + C

C = 34.6

What is the missing measure

Answers

Answer:

119

Step-by-step explanation:

Answer:

look at the photo...............

tan9°. tan27°. tan45°. tan72°. tan81°= 1​

could u plz solve it with clear process

Answers

Correct question:-

Prove that tan9.tan17.tan45.tan73.tan81=1

LHS

[tex]\\ \sf\longmapsto tan9.tan17.tan45.tan73.tan81[/tex]

[tex]\\ \sf\longmapsto tan9.tan81.tan17.tan73.tan45[/tex]

[tex]\\ \sf\longmapsto tan(90-81).tan81.tan(90-73).tan73.1[/tex]

[tex]\\ \sf\longmapsto cot81.tan81.cot73.tan73[/tex]

[tex]\\ \sf\longmapsto 1.1[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

porfavor ayuda ayuda

Answers

Answer:

b is 3/5 then 9/5 and lastly 15/25

c is 2/3 then 6/12 then 12/18

¿What are Fractions?

Fractions is that fraction whose fractional number is the expression of a quantity divided by another quantity; that is, it represents an unrealized quotient of numbers.

[tex] \bold{a) \dfrac{2}{4} = \dfrac{4}{8} = \dfrac{6}{12} = \dfrac{8}{16} = \dfrac{10}{20} }[/tex]

[tex]\bold{b) = \dfrac{3}{5} = \dfrac{6}{10} = \dfrac{9}{15} = \dfrac{12}{20} = \dfrac{15}{25} }[/tex]

[tex] \bold{c) \dfrac{2}{3} = \dfrac{4}{6} = \dfrac{6}{12} = \dfrac{10}{15} = \dfrac{12}{18} }[/tex]

1 = m 3 = 20°, then m =

Answers

Answer:

1

Step-by-step explanation:

Answer: 140m

Step-by-step explanation:

brainlest if you answer right.

Answers

i think it is 60 but I’m not totally sure

Which graph represents the following relationship between X and y. Y=3x

Answers

Answer:

B

Step-by-step explanation:

Because each Y value is found by multiplying X value by 3

Please help me! It’s for geometry

Answers

The answer to this is 2 67.5

If Sean reads 1 1/2 pages in 3 1/3 minutes, how many pages does he read in 1 minute?

Answers

Sean reads about 1 pages in one minute I believe because 1/2 in 1/3 is like a half of a page

solve for x 2/10=3/x-9

Answers

Answer:

24

Step-by-step explanation:

Answer:24

explanation

What is the answer to this equation below and is it a one step or two step equation?
6x+8 = 59

Answers

6x=59-8
6x= 51
x=51/6
The answer is x=51/6
6x+8=59

Take away 8 on both sides

6x=51

x=51/6

Personally leave it as a fraction

Expand the brackets in these expressions
1.(a²)²
2.(3c)³
3.(2z²)³
4.a(2b)²
5.5(q2)2
6.(xy)²
7. i(jk)²

Answers

Answer:

1. a^4.

2. 9c³.

3. 8z^6.

4. 4b²a.

5. 20q(if the 2 isn't an exponent)

if it is,

20q².

6.x²y².

7. j²k²i.

All the best.

Answer:

Step-by-step explanation:

[tex]1.(a^{2})^{2}= a^{2*2}=a^{4}\\\\\\2. (3c)^{3}=3^{3}*c^{3} = 27c^{3}\\\\\\3.(2z^{2})^{3}=2^{3}*(z^{2})^{3}=8z^{2*3}=8z^{6}\\\\\\4.a(2b)^{2}=a*2^{2}b^{2}=4ab^{2}\\\\\\5.5(q^{2})^{2} = 5q^{2*2}=5q^{4}\\\\\\6.(xy)^{2}=x^{2}y^{2}\\\\\\7i(jk)^{2}=ij^{2}k^{2}[/tex]

A plane travels a distance of 6,000 km in a time of 6.2 hours.
What is its average speed rounded to the nearest whole number?

Answers

Answer:

distance =6,000km

time =6.8 hrs

speed =distance /time =6,000/6.8=60000/68=882 km/h

plz make brainiest

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