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
hii i need help! write the inequality represented by the graph below.
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?
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
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?
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.
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?
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!!!!!
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
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?
Answer:
60
Step-by-step explanation:
multiply length times width l x w
length is 10
width is 6
10 x 6 is 60
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.
20 POINTS PLEASE HELP ASAP!
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!
Answer:c
Step-by-step explanation:c because u gotta look closwely
c
expand the brackets (x+5)(3x-2).
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-10Sixty tickets at $50 each cost
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.)
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! :)
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?
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 centsThe 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?
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
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
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
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 =
Answer:
1
Step-by-step explanation:
Answer: 140m
Step-by-step explanation:
brainlest if you answer right.
Which graph represents the following relationship between X and y. Y=3x
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
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?
solve for x 2/10=3/x-9
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
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
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?
Answer:
distance =6,000km
time =6.8 hrs
speed =distance /time =6,000/6.8=60000/68=882 km/h
plz make brainiest