Answer:
Probably about 4 boxes
The life expectancy (M) in the United States is 85 with a standard deviation of 6 years. A random sample of 36 individuals is selected. What is the probability that the sample mean will be between 82.5 and 86 years?
Answer:
The probability that the sample mean will be between 82.5 and 86 years is 0.8351.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu\\[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
The information provided is:
[tex]\mu=85\\\sigma=6\\n=36[/tex]
As the sample size is large enough the Central Limit Theorem can be used to approximate the sampling distribution of sample mean life expectancy (M) in the United States.
Compute the probability that the sample mean will be between 82.5 and 86 years as follows:
[tex]P(82.5<\bar X<86)=P(\frac{82.5-85}{6/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{86-85}{6/\sqrt{36}})\\\\=P(-2.5<Z<1)\\\\=P(Z<1)-P(Z<-2.5)\\\\=0.84134-0.00621\\\\=0.83513\\\\\approx 0.8351[/tex]
Thus, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.
The probability that the sample mean will be between 82.5 and 86 years is 0.8351.
Standard deviation σ = 6
Sample size n =36
What is the central limit theorem?The central limit theorem (CLT) states that the distribution of sample means approximates a normal distribution as the sample size gets larger, regardless of the population's distribution.
Since the sample size is significant i.e. large, so the given scenario can be treated as normally distributed as per the central limit theorem.
So, the standard deviation of sample means = σ/√n
The probability that the sample mean will be between 82.5 and 86 years:
[tex]P(82.5 < X < 86) = P(\frac{82.5-85}{\frac{6}{\sqrt{36} } } < Z < \frac{86-85}{\frac{6}{\sqrt{36} } } )[/tex]
[tex]P(-2.5 < Z < 1)=P(Z < 1)-P(Z < 2.5)[/tex]
[tex]P(-2.5 < Z < 1) =0.8413-0.0062=0.8351[/tex]
Therefore, the probability that the sample mean will be between 82.5 and 86 years is 0.8351.
To get more about the central limit theorem visit:
https://brainly.com/question/18403552
There are 8 classroom in a particolar
School. The number of student in each classroom
range from 25 to 30, what is the total number
of student in the School?
Answer:
25 times 8 kid its easy then do the answer is greater than or equal to x
Step-by-step explanation:
A book company publishes 749 copies of
a novel and distributes them to 7 bookstores.
If each bookstore were to receive the same
number of copies, how many copies would
be sent to each store?
Answer:
107 copies to each books store
3(x+6)=3x + _
Please asap
Answer:
3x + 18
General Formulas and Concepts:
Pre-Alg
Distributive PropertyStep-by-step explanation:
Step 1: Define expression
3(x + 6)
Step 2: Expand
Distribute 3 to both terms: 3x + 18Answer
3x+18 or 3x+9 but I'm not sure which one
Find Y (pic attached) (i’ll mark brainliest)
Answer:
4y - 4 = 60
4y = 64
Y = 16
Answer is B
I get 60 as it is a equilateral triangle.
Thank you and please rate me as brainliest as it will help me to level up
Which term best describes objects that have length, width, and height?
A. Two-dimensional
B. One-dimensional
C. Three-dimensional
D. Zero-dimensional
Answer:
C
Step-by-step explanation:
hope this helps
Answer: c
Step-by-step explanation:
What is the sum of -16/8 and 2
Answer:
0
Step-by-step explanation:
Answer:
the answer is 0
Step-by-step explanation:
hope this helped,brainliest?
please help - it neeeeddd this - im going to fail - i will give you a lot of points
The answer is one of the last two. I am pretty sure that it is corresponding but I could be wrong.
Answer:
389202838
Step-by-step explanation:
What is the perimeter of the figure?
A. 20.0 cm
B. 23.0 cm2
C. 25.0 cm2
D. 11.0 cm
Answer:
Answer is D, all you do is add the numbers
The perimeter of the figure is 20 cm.
The perimeter of the figure is the sum of the whole sides. When the whole sides of the figure is added the perimeter is known. Therefore,
perimeter = 5 cm + 3 cm + 1 cm + 2cm + 4cm + 5 cm
perimeter = 8 cm + 3cm + 9cm
perimeter = 20 cm
The perimeter of the figure = 20 cm
read more: https://brainly.com/question/20306407?referrer=searchResults
Solve for x: 3 − (2x − 5) −8
c. x −3
Answer:
-8cx−2x+5
Step-by-step explanation:
solve and evaluate expression
Answer:
hshd
Step-by-step explanation:
hhshahj
Leila bought 3 bananas, which weighed a total of 3/4 of a pound . if each banana weighed the same amount , what is the weight of each banana ?
Answer:
1/4
Step-by-step explanation:
3/4 (total weight)
3 bananas
(3/4)/3=1/4
PLS GIVE BRAINLIEST
Pllls Help ill give brainliesstttt
Number one is 16
number two is 30
Number 3 is 100
Number four is 50
hey guys what is this type of equation/ question called 1 < x < 30
Answer:
2,3,4,5,6,7,8,9,10,...29
Step-by-step explanation:
Find the equation of the line use exact numbers.
Answer:
y = 2/3x+4
Step-by-step explanation:
Haven’t been able to figure this out, can someone help?
Answer:
D reorder the terms using communitive properties
because there is nothing else to do with this problem
Step-by-step explanation:
8 3√25 k
I checked the other problems and K was 12
Hope this helps ?
What percentage of the eggs hatched?
Answer:
Is there supposed to be a picture or what??
Step-by-step explanation:
Need help on question 1,2 please please help please please help me please will mark the brainiest it’s due today please please help
Answers:
1. 750
2. 750 + 5*20 = 850
c) Parbati buys a mobile for Rs 6,300 and sells it to Laxmi at 15% profit. How much
does Laxmi pay for it?
Answer:
Rs. 7245
Step-by-step explanation:
Given parameters:
Cost price = Rs. 6300
Percentage profit = 15%
Unknown:
Selling price = ?
Solution:
If profit is made on a trade, the selling price is higher than the cost price.
Profit = Selling price - Cost price
To find the selling price simply;
Selling price =( 1 + [tex]\frac{15}{100}[/tex]) x cost price
Selling price = 1.15 x 6300 = Rs. 7245
Gabriela drank three fourths of her glass of milk and jenny drank six eighths of her glass of milk if the glasses were the same size did they drink the same amount ? Use cross multiplication to prove your answer
Answer:
just croos multi
Step-by-step explanation:
its very easy
Hell and thanks please
Answer:
A
Step-by-step explanation:
Mackenzie sells shoes. She makes a 20% commission on all of her sales.
Write 20% as a fraction in simplest form.
Write 20% as a decimal.
Answer:
20% as a fraction is 20/100
20% as a decimal is 0.20
Step-by-step explanation:
Answer:
1/5 and 0.20
Step-by-step explanation:
20/100 = 10/50 = 2/10 = 1/5
20% is out of a 100, so move the decimal place of the 20 two times because 100 has 2 zeros.
0.20
A car salesperson earns a 5.8% commission on every car sold. How much commission will the salesperson earn on the sale of a $28,400 car? * PLZZ help!!
how would i slove for x??
Answer:
x=12
Step-by-step explanation:
First you need to find the 3rd angle.
180-118=x
x=62
Once you have that 3rd angle, set all the inside angles equal to 180
4x-6+5x+16+62=180 ---> set to 180
9x+72=180 -->combine like terms
9x=108 --> subtract 72 from both sides
x=12 -->divide both sides by 9
Write the conclusion:
If Charlie goes to the store, then Harry loves school
A. Charlie doesn't go to the store
B. Harry does not love school
C. Charlie goes to the store
D. Harry loves school
a. then Harry loves school
b. Harry loves school
c. Charlie goes to the store,
d. Then Charlie goes to the store,
Question 5
Write the converse:
If the team does not play on Tuesday then the project is not due Friday.
a. If the project is not due Friday then the team does not play on Tuesday
b. If the team plays on Tuesday then the project is due FridayThis answer is incorrect.
c. If the project is due Friday then the team plays on Tuesday
d. The team plays on Tuesday if and only if the project is due Friday.
Question 7
Write the converse:
If Don goes to the store then George doesn't go to the store.
A. If George doesn't go to the store then Don goes to the store
B. Don doesn't go to the store if and only if George goes to the store.
C. If George goes to the store then Don doesn't go to the store
D. If Don doesn't go to the store then George goes to the store
a. If George doesn't go to the store then Don goes to the store
b. Don doesn't go to the store if and only if George goes to the store.
c. If George goes to the store then Don doesn't go to the store
d. If Don doesn't go to the store then George goes to the store
Question 9
Write a counterexample:
If the product of two numbers is 80, then one number must be 10.
a. x = 10 and y = 8
b. x = 1 and y = 8
c. x = 10 and y = 80
d. x = 1 and y = 80
Answer:
A
Step-by-step explanation:
beacause Harry loves school so he go to school
the linear equation y=1/2x+1 is represented by the graphed line. A second linear equation is represented by the data in the table. X(-2,0,2,4) Y(7,6,5,4) .In which square is the solution located
Answer:
Correct Answer is D
Step-by-step explanation:
Answer:
Yeah it's "D"
Step-by-step explanation:
Have a Jocular Day
The radius of a circle is 3 feet. What is the circle's area?
Answer:
6
Step-by-step explanation:
Answer:1.5 feet
Step-by-step explanation: your welcome
The Shredder, Inc. produces two types of paper shredders, home and office. The office model requires 6 hours to assembly and 2 finishing work units for finishing work, the home model requires 4 hours to assemble and 12 finishing work units for finishing. The maximum number of assembly hours available is 96 per day, and the maximum number of finishing hours available is 96 per day.
Let
x = the number of office model shredders produced per day and
y = the number of home model shredders produced per day.
Write the system of inequalities that represents the maximum number of shredders that can be produced in one day.
NOTE: 4 inequalities are expected.
Answer:
4y + 6x ≤ 96
12y + 2x ≤ 96
Step-by-step explanation:
Paper shredders produced :
Home :
Assembling time = 4 hours
Finishing work unit = 12
Office :
Assembling time = 6 hours
Finishing work unit = 2
Maximum number of assembly hours = 96 / day
Maximum number of finishing hours = 96/ day
Let
x = the number of office model shredders produced per day and
y = the number of home model shredders produced per day
(office Assembly hours x Number of office model) + (Assembly hours * number home models)
OFFICE MODEL:
Assembly operation :
Home + office ≤ 96
4y + 6x ≤ 96
Finishing operation :
Home + office ≤ 96
12y + 2x ≤ 96
This is statistics. Please answer fast
Answer:
This is a normal distribution and we can use the standard score to compute for probabilities. We compute the standard score of the given.
Step-by-step explanation:
z = (x - mu)/sd
z = (2625 - 2600)/50 = 25/50 = 0.5.
Consulting the z-table, P(z <= 0.5) = 0.6915.
P(z > 0.5) = 1 - P(z <= 0.5) = 1 - 0.6915 = 0.3085.
I hope this helped! <3
Study circle C, where diameter TV bisects chord EF.
The diagram as described in the text.
If m∠EKT=(5x + 65)∘, what is the value of x?
Enter the correct value.
The answer to the question and value is 5
Solve the problem. Sven can type 57 words per minute. How many words would he type in hour (40 minutes)? 2280 words 86 words 38 words 1520 words
Answer:
Sven would type 2280 words every 40 minutes.
Step-by-step explanation:
Multiply 57 by 40 and that should get you 2280.
Now, if it was truly an hour, you would multiply 57 by 60. The answer should be 3420.