Answer:
a. 0.443
b. 0.023
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The weight of turkeys is normally distributed with a mean of 22 pounds and a standard deviation of 5 pounds.
This means that [tex]\mu = 22, \sigma = 5[/tex]
a. Find the probability that a randomly selected turkey weighs between 20 and 26 pounds.
This is the pvalue of Z when X = 26 subtracted by the pvalue of Z when X = 20. So
X = 26
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{26 - 22}{5}[/tex]
[tex]Z = 0.8[/tex]
[tex]Z = 0.8[/tex] has a pvalue of 0.788
X = 20
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{20 - 22}{5}[/tex]
[tex]Z = -0.4[/tex]
[tex]Z = -0.4[/tex] has a pvalue of 0.345
0.788 - 0.345 = 0.443
The answer is 0.443
b. Find the probability that a randomly selected turkey weighs below 12 pounds.
This is the pvalue of Z when X = 12. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{12 - 22}{5}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.023
The answer is 0.023.
IUAIUBSHELP PLEASEEA machine in a shoe factory produces shoelaces. The number of shoelaces it produces is proportional to the time. It can produce twelve shoelaces in three minutes. Write an equation to represent this proportional relationship. In your answer, make sure to define the variables you used.
Answer:
E- don't report this one-
Step-by-step explanation:
Researchers doing a study comparing time spent on social media and time spent on studying randomly sampled 200 students at a major university. They found that students in the sample spent an average of 2.3 hours per day on social media and an average of 1.8 hours per day on studying. If all the students at the university in fact spent 2.2 hours per day on studying, with a standard deviation of 2 hours, the sampling distribution of the time spent studying has approximate distribution
Answer:
The sampling distribution of the time spent studying has an approximately normal distribution, with mean 2.2 and standard deviation 0.1414.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Each student:
Mean of 2.2 hours, standard deviation of 2 hours.
Sampling distribution of the time spent studying has approximate distribution
Sample of 200.
By the Central Limit Theorem,
Approximately normal
Mean 2.2
Standard deviation [tex]s = \frac{2}{\sqrt{200}} = 0.1414[/tex]
The sampling distribution of the time spent studying has an approximately normal distribution, with mean 2.2 and standard deviation 0.1414.
The time taken by Nick to do his statistics homework follows a normal distribution with a mean of 25 minutes and a standard deviation of 5 minutes. Jasmin’s homework time also follows a normal distribution with a mean of 50 minutes and a standard deviation of 10 minutes. They hate each other’s guts and never work together so we can assume that Nick’s homework completion is independent of Jasmine’s homework completion.
a) Define the random variable D to be the difference between the amount of time spent on a randomly selected assignment of Jasmin’s and a randomly selected assignment of Nick’s. So D = N – J. Find the mean and the standard deviation of D.
b) Calculate the probability that Nick spent longer doing his assignment than Jasmin did. Show your method clearly.
Answer:
a) Mean of D = -25
Standard deviation of D = 11.18
b) P(N > J ) = 0.9875
Step-by-step explanation:
Given - μₙ = 25, σₙ = 5 , μₐ = 50 , σₐ = 10
where μₙ is mean of nick and μₐ is mean of jasmine
σₙ = 5 is standard deviation of nick and σₐ is standard deviation of jasmine
To find - a) Define the random variable D to be the difference between the amount of time spent on a randomly selected assignment of Jasmine’s and a randomly selected assignment of Nick’s. So D = N – J. Find the mean and the standard deviation of D.
b) Calculate the probability that Nick spent longer doing his assignment than Jasmine did. Show your method clearly.
Proof -
a)
Mean of D = Mean of nick - Mean of jasmine
= 25 - 50 = -25
standard deviation of D = √Standard deviation of Nick + jasmine
= √5² + 10² = √25 + 100 = √125 = 11.18
∴ we get
Mean of D = -25
Standard deviation of D = 11.18
b)
We have to find - P(N > J)
If N > J , then D > 0
Now,
The z-score is expressed as
z = [tex]\frac{0 - (-25)}{11.18} = \frac{25}{11.18} = 2.24[/tex]
Now,
P(N>J) = P (D > 0) = P(Z < 2.24)
= 0.9875
⇒P(N > J ) = 0.9875
2 3/15 rounded to the nearest half
Hi there!
Answer:
2.5/5
Step By Step Explanation:
Given function:
2 3/153/15=1/51/5=nearest half=2.5/5Therefore, 2 3/15 rounded to the nearest half is 2.5/5.
Answer:
2
Step-by-step explanation:
:)
Five and nine thousandths as a decimal
Answer:
5.009
Step-by-step explanation:
5.009
/\
1000th
Answer:
5.009 is the ans. did u got it
For the given functions f and g, find the requested composite function value.
f(x) = x - 8
x , g(x) = x2 + 6; Find ( g H f)(-2).
Answer:
106
Step-by-step explanation:
Composite function:
A composite function is represented by:
[tex](g \circ f)(x) = g(f(x))[/tex]
In this question:
[tex]f(x) = x - 8[/tex]
[tex]g(x) = x^2 + 6[/tex]
[tex](g \circ f)(x) = g(f(x)) = g(x-8) = (x-8)^2 + 6[/tex]
Find ( gof)(-2).
When x = -2. So
[tex](g \circ f)(-2) = (-2-8)^2 + 6 = (-10)^2 + 6 = 100 + 6 = 106[/tex]
The answer is 106.
The first step in analyzing a transaction is to determine:
O A. if the account balance will increase or decrease.
OB. the accounts that are involved.
O C. the type of accounts that are involved.
OD. which accounts are to be debited and credited.
Answer:
B. the accounts that are involved.
Step-by-step explanation:
Financial accounting is an accounting technique used for analyzing, summarizing and reporting of financial transactions like sales costs, purchase costs, payables and receivables of an organization using standard financial guidelines such as Generally Accepted Accounting Principles (GAAP). Examples of financial statements includes Balance sheet, cash-flow and income statement.
On the other hand, managerial accounting also known as cost accounting is an accounting technique focused on identification, measurement, analyzing, interpretation, and communication of financial information to managers for better decisions making and pursuit of the organization's goals.
The first step in analyzing a transaction is to determine the accounts that are involved. Since a company would have more than one transaction type, it is very important to determine what account is involved in the transaction process such as sales, purchase of inventory, payment of employee salaries and other types of expenses.
can someone help :(!
Answer:
452.16 I'm pretty sure..
Answer:
A=452.16 mm
Step-by-step explanation:
A=πr^2
A=π12^2
A=π144
A=452.16 mm
please answer this correctly,thank you!
Answer:
First option
Step-by-step explanation:
-4,-3,-2,-1
Rudolfo wants to save his allowance in his own bank account. Given that his principal amount ₱20 000 with 1.5% monthly interest rate. How much will Rudolfo receive on the second month of his investment? *
A. ₱20,300.00
B. ₱20,500.00
C. ₱20,600.00
D. ₱20,800.00.
Answer:
Step-by-step explanation:
P = 20,000
R= 1.5
T= 2 years
A = P(1+ R/100) ^ n
A bookstore carries 70 magazines. 70% of the magazines are women's magazines. How
many women's magazines does the bookstore carry?
Answer:
49
Step-by-step explanation:
70% of 70 = 0.7 × 70 = 49
A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the radius of the bubbles is about 0.3 mm. According to the formula below, what would be the volume of one of these bubbles? r = root(3, (3V)/(4s))
If 3/5 of a bag of jelly beans weighs 6 3/4 ounces , how much does one bag of jelly beans weigh?
Help asaaaaaap guys
Answer:
-3.5,-3,-2 1/2,-2,2.5
Step-by-step explanation:
Least. Greatest
-3.5, -3, -2 1/2, -2, 2.5
Help me plz!!!! I need this by today...if right will mark brainliest!
Answer:
i cant read it sideways
Step-by-step explanation:
Solve the following system of equation express answer as a order pair 2x+5y=16 -5x-2y=2
Answer:
7y=11x-2y=2
7y-2y=2-12x
5y=9x
y=9x÷5
y=45ans
Step-by-step explanation:
have a nice day!
Why is California at higher risk for earthquakes than North Dakota
( Also i know this isnt math but people answer faster when its in math )
Answer:
Step-by-step explanation:
Because calfornia is right next to Ocean
how to figure the surface area
Answer:
i donk know about this sooooooo sorry
Step-by-step explanation:
jjzkz
please help its practice i really need it
Answer:
1/5
Step-by-step explanation:
You are charged $9.2 in total for a meal. Assuming that the local sales tax is 7.7%, what was the menu price of this item?
Answer:
9.91
Step-by-step explanation:
Mrs. Melanie Lazo pays Php 15.75 for each hair clip to its supplier. She decided to adds markup of Php 3.15. What is the markup rate?
Answer:
the answer to the problem is 20.8%
Pls help
Find the measurements of those
Answer:
i think C
im not really sure
x
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The probability of drawing a blue ball from Bag A is 1/5 and the
probability of drawing a red ball from Bag B is 2/3.
What is the probability of drawing a blue ball from Bag A AND a red
ball from Bag B?
Answer:
the probability of drawing a blue ball from bag A is 1/5 and the probability of drawing a red ball from bag B is 2/3.
The probability of drawing a blue ball from Bag A and a red ball from Bag B will be 2/15.
What is the definition of probability?
Probability denotes the likelihood of something happening. It is concerned with the occurrence of an unpredicted event.
Probability can only have a value between 0 and 1. Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of events is known as the favorable event ratio.
The probability of drawing a blue ball from Bag A is, 1/5
The probability of drawing a red ball from Bag B is, 2/3.
P(A)=1/5
P(B)=2/3
The probability of drawing a blue ball from Bag A and a red ball from Bag B will be;
P(A and B)=P(A). P(B)
P(A and B)=(1/5)×(2/3)
P(A and B)=(2/15)
Hence,the probability of drawing a blue ball from Bag A and a red ball from Bag B will be 2/15.
To learn more about the probability refer;
https://brainly.com/question/795909
#SPJ2
A circular placemat has 44 inches of braid around the edge. What is the area of the placemat to the nearest square inch? Use 3.14 for π.
Answer:
153.86 in^3
Step-by-step explanation:
Given data
A circular placemat has 44 inches of braid around the edge
hence the circumference of the placemat is 44 in
C= 2πr
44= 2*3.14r
r= 44/2*3.14
r= 44/6.28
r= 7.00 in
Area= πr^2
Area= 3.14*7^2
Area= 3.14*49
Area= 153.86 in^3
Hence the area is 153.86 in^3
Factor Completely:::
Answer:
6x²+27x+24
3(2x²-9x+8)
If the points on a graph of a linear function are (-2,10 (0,4) (2,-2) and (4,8) what is the y-intercept
Answer:
i think 5
Step-by-step explanation:
What percent of 30 is 24
Answer:
80%
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
*you can use calculator to divide
To assemble a product you stack 0.10 Inch of foam, 1/4 Inch ofmetal, 1/2 inch of wood and 0.1 inch of fabric. How thick is the
stack?
Answer:
3 INCHES THICK
Step-by-step explanation:
Find the perimeter of the shape on this centimetre grid.
Answer:
the perimeter is 16
Step-by-step explanation:
The computation of the shape on this centimeter grid is shown below:
As we can see in the attached figure that the some portion is highlighted
So if we count that
like
So after counting it comes 16
Therefore the perimeter is 16
2) 1) A 6 ft tall lawn ornament standing next to a baby elephant casts a 18 ft shadow. If the baby elephant casts a shadow that is 12 ft long, then how tall is it?
Answer: 4 feet.
Step-by-step explanation:
Proportion from lawn ornament to its shadow = 6ft : 18ft = 1 : 3
Proportion from baby elephant to its shadow = x : 12ft
These proportions have to be equal, because if it is the same time of day, the different object's shadows will have the same proportions.
In order to solve this problem, we need to cross multiply. (Attached image)
So, 3x = 12.
By solving this equation, we find that x = 4
The height of the baby elephant is 4 feet.
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!