Using the normal distribution and the central limit theorem, it is found that the sample of 36 Great Basin rattlesnakes is more likely to be shorter than 29.65 inches.
Normal Probability DistributionIn 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.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For the Sample of 36 Great Basin rattlesnakes:
The mean is [tex]\mu = 32.3[/tex].The standard deviation is [tex]\sigma = 5.3[/tex].Sample of 36, hence [tex]n = 36, s = \frac{5.3}{\sqrt{36}} = 0.88[/tex]We are interested in the percentile of 29.65 inches, hence [tex]X = 29.65[/tex].Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{29.65 - 32.3}{0.88}[/tex]
[tex]Z = -3.01[/tex]
For the Sample of 100 Southern Pacific rattlesnakes:
The mean is [tex]\mu = 32.3[/tex].The standard deviation is [tex]\sigma = 7.95[/tex].Sample of 100, hence [tex]n = 100, s = \frac{7.95}{\sqrt{100}} = 0.795[/tex]We are interested in the percentile of 29.65 inches, hence [tex]X = 29.65[/tex].Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{29.65 - 32.2}{0.795}[/tex]
[tex]Z = -3.33[/tex]
Due to the higher z-score, the random sample of 36 Great Basin rattlesnakes is at a higher percentile, hence it is more likely to be shorter than 29.65 inches,
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
1/8 + 5/8?
7/10 - 3/10
4/12 + 5/12
15/20 - 6/20
15/20 - 6/20
put explation pleaseee
Answer:
6/8
4/10
9/12
9/20
9/20
Step-by-step explanation:
Т. .
A number composed of two digits divisible by 5 and tens digit is less than unit digit by one
9514 1404 393
Answer:
45
Step-by-step explanation:
Only numbers ending in 5 or 0 are divisible by 5. If the units digit is 0, there can be no tens digit that is 1 less. So, the units digit must be 5 and the tens digit must be 4.
The number is 45.
Is the equation y=5x+90 proportional?
Answer:
yes, x does have an exact proportion of y
Step-by-step explanation:
wholelotta swag aneways
Answer:
period.
Step-by-step explanation:
In a sample of 31 kids, their mean time on the internet on the phone was 36.5 hours with a sample standard deviation of 8.3 hours. Which distribution would be most appropriate to use, when we assume these times are normally distributed
Answer:
Normal distribution
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.
In this question:
Sample of 31 kids, of a normally distributed variable. So, by the Central Limit Theorem, the most appropriated distribution to use is the normal distribution.
Find the volume.
18 cm
12 cm
9 cm
Answer:
1944....
Step-by-step explanation:
6y+8x-3x
I need help this is for homework
Answer:
6y + 5x
Step-by-step explanation:
6y + 8x - 3x
Combine like terms (put all the "x"'s with the"x"'s and "y"'s with the "y"'s together)
8x - 3x = 5x
6y + 5x
And you cannot simplify it anymore, since they are not like terms
Hope this helped!
Have a supercalifragilisticexpialidocious day!
PLEASE HELP ASAP!!!!! i will give brainliest
Answer:
Step-by-step explanation:
you are pretty much just factoring throughout.you can also plug in numbersor use the quadratic equationI'll be using the quadratic equation
What is the solution to the equation below? Write your answer as an improper fraction.
2/5x+1/2=2
Step-by-step explanation:
[tex] \frac{2}{5x} + \frac{1}{2} = 2 \\ \frac{2}{5x} + \frac{1}{2} - 2 = \frac{4 + 5x - 5x(2)}{5x(2)(1)} \\ = \frac{4 - 5x}{10x} [/tex]
Answer:
x = 15/4
Step-by-step explanation:
Solve for x on calculator
The Science Club went on a two-day field trip. The first day the members paid $30 for transportation plus $10 per ticket to the planetarium. The second day they paid $90 for transportation plus $7 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club. An expression that represents the total cost in dollars for two days for the n members of the club is given by
Answer:
First day : 30+20y
Second day : 85 + 17y
Total: 30 + 20y + 85 + 17y This is the not simplified version.
37y+115 This is the simplified version. Hope this helps!
Step-by-step explanation:
T
f
]
1.2073 PUQ.No. 14 बाबु र छोराको अहिलेको उमेरको योगफल
60 वर्ष छ। यदि दुबै जना जीवित रहेको समयमा अहिलेको
बाबुको उमेर बराबर छोराको उमेर हुँदा दुबै जनाको उमेरको
योगफल 120 वर्ष हुन्छ भने तिनीहरूको अहिलेको उमेर पत्ता
लगाउनुहोस् । (The sum of the present ages of a father
and his son is 60 years. If they both live until the son
becomes as old as the father is now, the sum of their
ages will be 120 years, then find their present ages.)
Answer:
Present age
Son: 15
Father: 45
Step-by-step explanation:
Remark
Thank you for the translation. Without it, the problem would be impossible -- at least for me.
Givens
Let the present age of the father = x
Let the present age of the son = y
Solution
x + y = 60
How many years will pass? You could say it's z.
x + z = y When z years pass, the son will be his father's present age.
x + z + y + z = 120 when z is added to both their current ages, the result is 120 Collect like terms
x + y + 2z = 120
x + y = 60 Subtract The very first equation
2z = 60 Divide by 2
z = 60/2 30 years have passed.
z = 30
x + z = y
x + 30 = y Substitute x + 30 for the present y value (the father).
x + x + 30 = 60
2x = 30
x = 15
x + y = 60
15 + y = 60
y = 60 - 15
y = 45
So the son's age right now is 15
The father's age right now is 45
HELP!!!!!
Find the value of x.
Answer:
70
Step-by-step explanation:
formula we will be using: [tex]\sqrt{y} (y+z)[/tex]
7 (7+3)
7 · 10 = 70
Which graph represents the solution set of this inequality?
119 +5 < 49
Choose 1 answer:
Answer:
to graph an inequality you need a variable. your question does not have a variable. please rewrite the question.
Write
13/8
as a mixed number,
Answer:
1 5/8
Step-by-step explanation:
Answer:
1 and 5/8
Step-by-step explanation:
hdhdbfhfhfvvfvfvfhd
Convert 1;3/4 into an improper fraction
what is the equation of the line graphed below?
Solve the system of linear equations by ellmination. 5x + 9y = -11 3x + 9y = -3 A. (-4,-1) -B. (-1, –4) C. (-4,1) D. (1,-4)
Answer:
Step-by-step explanation:
5x + 9y = -11
3x + 9y = -3
5x + 9y = -11
-3x - 9y = 3
2x = -8
x = -4
-12 + 9y = -3
9y = 9
y = 1
(-4, 1)
Answer is C
13 POINTS AND WILL BE MARKED BRAINLIEST IF CORRECT!
Answer:
I think its 144!!!!!!!!!!!!!!!!!!
Answer:
Diagram 2 (Bottom diagram)
Step-by-step explanation:
The ratio is twice as many (2)
2:1
The function g(x) is defined as shown
What is the value of g(0)?
0-2
-1
3x-2, 45X-2
3
g(x) = -X-1, -25x< 1
6. 15x<3
6
Oo
Answer:
-1
Step-by-step explanation:
[tex] - 2 \leqslant 0 < 1[/tex]
g(x)=0-1=-1
The value of the function g(0) is -1.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given function g(x) = 3x-2, -4≤x<-2
g(x) = -x-1, -2≤x<1
g(x)=6, 1≤x≤3
We need to find value of g(0).
Let us check at which interval the value zero lies.
The zero lies in the interval -2≤x<1.
So we have to use the function g(x)=-x-1
Now put x as zero
g(0)=-0-1
=-1
Hence, the value of the function g(0) is -1.
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ7
Alma and Crystal went out to et and spent $16. They wanted to tip the waitress 15%, what was the total cost of their meal including tip?
A: 2.40
B: 18.40
C: 4.80
D: 46.80
Answer:
B: $18.40
Step-by-step explanation:
100% is equal to $16 so 5% would be 16/20 or $0.80 then to get 15% you would multiply $0.80 by 3 which is $2.40. This is the tip. Then do $16 + $2.40 and the total + tip is $18.40. (Double check to make sure I'm correct)
Answer:
I dont know
Step-by-step explanation:
I don’t know
HELP HELP
PLZ I WILL MARK YOU BRILL
Answer:
1) 55 2)60-80 3)95 4)92.5(mean), 92.5 (median), 95 (mode) 5) the outlier greatly offsets the data as it is no where near the other data points.
Step-by-step explanation:
(3x^2-8+3X)-(10+2x^2-2X)
Answer: x^2+5x-18
Step-by-step explanation:
What is the total cost for x months?
Is height always a statistical subject
Answer:
It Is!
Step-by-step explanation:
"For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students' ages."
Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as the slope of the graph between points A and C. (4 points) Part B: What are the initial value and slope of the graph and what do they represent?
Answer:
ac
Step-by-step explanation:
a cube has a lateral surface area of 64sq m find the total surface area of the cube
Answer:
384 square meters.
Step-by-step explanation:
Given that a cube has a lateral surface area of 64 square meters, to find the total surface area of the cube, the following calculation must be performed, knowing that the formula to calculate the area of a cube is to multiply by 6 (the number of sides of the cube) the area of one of its sides:
A x 6 = X
64 x 6 = X
384 = X
Thus, the area of the cube is 384 square meters.
3(x + 4) − x > 4
lol i dont know the answer
Answer:
x>-4
Step-by-step explanation:
I looked it up. Use Mathpapa it's really helpful and free
Answer the question and explain your answer. I will be marking brainiest! If you have the correct answer and explain why it’s correct, I will probably pick YOU as brainiest! :)
Answer:
A = 200.96 sq ft
Step-by-step explanation:
formula for area of a circle: A = π·r²
A = (3.14)·(8²)
A = 64·(3.14)
A = 200.96
simplify each expression
3x + 4x + 5x
Answer:
12x
Step-by-step explanation:
3x + 4x + 5x
7x + 5x
12x
At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram.
A tree diagram. Random student studies for test is 0.6, and does not study for test is 0.4. Studies for test to Gets B or higher is 0.55; does not get B or higher is 0.45. Does not study for test to Gets B or higher is 0.20; does not get B or higher is 0.80.
The professor informs the class that there will be a test next week. What is the probability that a randomly selected student passes the test with a B or higher?
0.33
0.41
0.55
0.75
Answer:
i think it is 0.33 probably wrong
Step-by-step explanation:
i am proably wrong