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
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
Finding the nth term of this sequence: (by the way I'm learning quadratic sequences=
-2 -8 -18 -32 -50
Answer:
n^2+2n+1
Step-by-step explanation:
-2-8-18-32-50
difference=-6-10-14-18
common differences=-4-4-4-4-4
-2-8-18-32-50
n^2=1,4,9,16,25
minus it
=-1,-4,-9,-16,-25
differences 2,5,7,9
common differences=2
2,4,6,8
so 2n+1
so the answer is n^2+2n+1
there were a total of 35 football games in the season the season is played for five months how many football games were played each month if each month has the same number of games
Answer:
7
Step-by-step explanation:
35/5=7
Hope this helps!
Answer: We know that there is 35 games per season and is played throughout 5 months. If in each month the same number of games were played we would have to do 35/5 which is equal to 7. To check your work you can do 5 times 7 which is 35. Remeber opposite of division is multiplication and opposite of multiplication is division. SO, your answer is 7 football games per month.
Step-by-step explanation:
Hope this helps, if you are struggling with math you can use these sites:
khan academy
math nation
and many more free sites to learn math!
5%x52?524526235+36285
Answer:
The answer is 7,878,684,378
LOL
Step-by-step explanation:
a person buys 6 bags of chips for 18 dollars. How much is it per bag
Answer:
hope it helps you..........
PLEASE PLEASE HELP ASAP
The Budget Car Rental rates for renting a car for a day is shown in the table.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
According to given information,
a.) Initial cost of renting car (y - intercept (b)) = the total cost when the distance travelled = 0
that is :
blank - 1 : $ 100b.) rate of change = slope
[tex] \dfrac{y2 - y1}{x2 - x1} [/tex][tex] \dfrac{105 - 100}{100 - 0} [/tex][tex] \dfrac{5}{100} [/tex][tex] \dfrac{1}{20} [/tex]blank - 2 : [tex]\dfrac{1}{20}[/tex]c.) Let's
[tex]y = mx + c[/tex]and according to above data :
y = Cx = dm = 1/20c = 100so, the required equation is :
[tex]c = \dfrac{1}{20} d + 100[/tex]put this equation in blank - 3 ~
Mega Mart received 1,447 fish. The store's manager put 76 fish into each of the store's aquariums. Then he purchased the remaining 3fish for his own aquarium. How many aquariums does Mega Mart have?
Answer:
19
Step-by-step explanation:
1447-3=1444, 1444/76=19
Hope that helps!
Rosie Belin worked these total weekly hours in four weeks of work: 45, 38, 42, and 43. Her job pays $14 for each hour worked. What AVERAGE gross pay did she earn per week for these four weeks of work?
Answer:
Add the total number of hours in the four weeks and multiply that with the hourly pay rate to find the total gross pay. Divide the total gross pay by 4 to find the weekly average gross pay. An employee may earn income from various sources. The total income is the sum of all the earnings and is called as.
=727
If 0° < θ < 90° find θ to the nearest minute:
sinθ= 0.5
Answer:
the angle must be 30 degree. because the value of sin30 is ½ and this means 0.5
solve the matrix equation
Answer:
c
Step-by-step explanation:
NEED HELP ASAPfind the missing number and fill in the blank to make it true35 + ?? = 7(5 + 3)
Answer:
x = 21
Step-by-step explanation:
35 + ?? = 7(5 + 3)
1. Expand the brackets on the right:
35 + x = 35 + 21
2. Cancel out 35 from both sides
x = 21
1.Find the rate in the unit given, 78 liters in 2 hours (liters per hour) ?
hope it helps you
can you brainlest me
My friend needs help!
[tex] \frac{840}{1200} = 0.7 = \frac{7}{10} [/tex]
So, option (c) will be correct
Cheerio :)
PLEASE SOMEONE JUST Please ANSWER THIS THIS IS DUE IN 10 MINUTES HURRY!!!
What is the slope of the graph?
2
Step-by-step explanation:
rise/run = 4/2 = 2
Answer: The slope is 2.
Step-by-step explanation:
Hope this helps!!!!
Will offer 50 points for answer
Math question in the image
Answer:
The answer is 1, Hope that Helps! :)
Step-by-step explanation:
I answered first but didn't get braintlyist...ok.....
Answer:
the answer is 1
Step-by-step explanation:
one is the answer
A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. A private contractor charges $75 per hour to develop a logo plus a $100 supply fee.
Which equation can be solved to determine x, the number of hours after which the costs would be the same?
50x + 250 = 75x + 100
Anwer:
x=6
Step-by-Step Explaination:
A boy who weighs 66 Ib on earth 10.92 Ib on the moon.
How much will a man who weighs 185 Ib on earth weigh on the moon?
2,020.2
40.2
30.6
720.72
Answer: 30.6 in the moon
someone please help me giving brainliest
Answer:
Step-by-step explanation:
What is the slope of the line that passes through the points (−8,−1) and (−6,−2)? Write your answer in simplest form.
Answer:
m = -1/2
Step-by-step explanation:
Recall that slope = (change in y) / (change in x).
Going from (−8,−1) to (−6,−2), x increases by 2 (because -6 - (-8) = 2), and
y decreases by 1. Thus, the slope here is
m = (change in y) / (change in x) = (-1) / 2 = -1 / 2
m = -1/2
slope=0, goes through the point (-3,3)
Answer:
y=3
Step-by-step explanation:
Using the point slope formula
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y-3 = 0(x--3)
y-3 = 0(x+3)
y-3 =0
y-3+3 = 0+3
y=3
All cross-sectional shapes that are parallel or perpendicular to one of the
bases of a?
are also congruent to one another.
A. cube
B. polygon
C. prisma
D. pyramid
All cross-sectional shapes that are parallel or perpendicular to one of the bases of a Cube.
What is cross-section?A cross section in mathematics is the illustration of the intersection of an entity by a plane.
In a cube, all the faces which is parallel or perpendicular to one of the faces are congruent to one another.
So, out of all cross-sectional shapes that are parallel or perpendicular to one of the bases of a Cube, are also congruent to one another.
Hence, the cross-sectional shapes that are parallel or perpendicular to one of the bases of a Cube.
Learn more about cross-sections, click;
https://brainly.com/question/15541891
#SPJ5
3 1/4 divided by 5 1/3
Answer:
0.609375 or 39/64
decimal ------- fraction
Step-by-step explanation:
please help me or I'm gonna fail math
Answer:
length = x+6
width = x-6
Step-by-step explanation:
The area of rectangle is:
[tex] \displaystyle \large{ A= l \times w}[/tex]
where A is area, l is length and w is width.
We know the area of this rectangle or table since we are given A = x^2-36.
First, substitute A = x^2-36 in.
[tex] \displaystyle \large{ {x}^{2} - 36 = lw}[/tex]
Then we factor x^2-36, use the difference of two squares:
[tex] \displaystyle \large{ (x + 6)(x - 6) = lw}[/tex]
Compare the terms.
First, we have to understand that length is always longer or greater or have more values than width.
Hence length cannot be x-6 and width cannot be x+6 either.
Thus:
[tex] \displaystyle \large{length = x + 6} \\ \displaystyle \large{width = x - 6}[/tex]
why there is 60 minutes in a hour ?
▪︎no need spams
▪︎ans should be well explained
▪︎if u don't know pls don't ans
Answer:
Time is not measured in metric units. By the way - The metric system dates back to the late 18th century. Thousands of years after people measured time in multiples of 60.
Can someone tell me the answer to this
Answer choice D is incorrect
Answer:
A
Step-by-step explanation:
It's going to get smaller
Help- 50 Points.
The question is put down below in the attachments.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The graph representing the given function is B
[tex]f(x) = \dfrac{1}{2} x - 5[/tex]Which statement represents the biconditional statement of the conditional statements?
If an angle measures 90º, then the angle is right.
If an angle is right, then the angle measures 90º
1) An angle measures 90º if and only if the angle is right.
2) An angle does not measure 90º if and only if the angle is right.
3) An angle does not measure 90º if and only if the angle is not right.
4) An angle measures 90º if and only if the angle is not right.
Answer:
1
Step-by-step explanation:
It is the only one that makes sense!
(Apologies since this super late; I hope future students will find this helpful)
Answer:
An angle measures 90º if and only if the angle is right.
Step-by-step explanation:
See the image below :)
A good first
step to solve
4(X-9)=36
would be
to
Answer:
Use the distriputive property which would give you:
4x-36=36
Step-by-step explanation:
Find the sum of -8x^2+3 and -9x^2+3x-3
Answer:
-16x, and 3(x−28)
Step-by-step explanation:
-8x^2+3=-16,
Multiply 2 times −8.
which should get you −16x^2−1
Subtract 1 from 2, then you have −16x^1. For any term t, t ^1=t. so then it is -16x.
−9 ^2+3x−3
Calculate 9 to the power of 2 and get 81.
−81+3x−3
Subtract 3 from −81 to get −84.
=−84+3x
and if you need help with algebra https://mathsolver.microsoft.com/ will help!