Answers
Answer:
127°
Step-by-step explanation:
Related Questions
According to the central limit theorem: a. The mean of a sample from a population that is not normally distributed will tend towards a normal distribution if the sample size is large b. The probability of a sample standard deviation will converge towards the population variance as the sample standard deviation increases c. The median of a sample from a population that is normally
Answers
Answer:
a. The mean of a sample from a population that is not normally distributed will tend towards a normal distribution if the sample size is large.
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.
So, according to the above text, the correct answer is given by option a, that is, if the sample is large, the sampling distribution of the sample mean will be approximately normal, that is, trend towards a normal distribution.
Problem 5.A miner is trapped inside a mine and has access to 3 doors. The first door leads to a tunneland can take him to safety in 3 hours. The second door is a trap and brings him back to the mine againafter 5 hours through a tunnel. The third door also is a trap that brings him back to the mine after 7 hoursthrough a tunnel. The miner at all times is equally like to choose any of the doors. (In the darkness he canhardly distinguish the three). What is the expected length of time until he reaches safety
Answers
Answer:
Expected time is 15 hours for him to get to safety.
Step-by-step explanation:
We define X as the time that this miner would get to safety.
We define Y as the door he chooses initially.
P(Y= 1) = P(Y=2)=P(Y=3) = 1/3
We have E[X|Y=1] = 3
E[X|Y] = 5 hours + E[X}
E[X|Y] = 7 hours + E[X]
Then we have
E[X] = 1/3(3 + 5 + E[X] + 7 + E[X])
We cross multiply
3*E[X] = (15 + 2E[x])
3E[X] - 2E[X] = 15
E[X] = 15
So the time it would take to get him to safety is 15 hours
Identifying a binomial experiment
In a study conducted by the sponsoring organization of an academic conference, attendees were classified during registration into one of three categories according to their field of interest: General, Applied, or Theoretical. Of the 400 people in attendance, 200 were classified as General, 60 were classified as Applied, and 140 were classified as Theoretical. You randomly select three registration cards (with replacement) of attendees of the conference and record their fields of interest.
This experiment______a binomial experiment.
When you select a registration card, the probabilities associated with each outcome are:
Outcome Probability
General 0.35
Applied 0.45
Theoretical 0.20
Let X be the number of card selections with outcome "General." Then X is a_____binomial random variable with mean E(X) =_____and standard deviation =______.
Answers
Answer:
Step-by-step explanation:
[tex]\text{This experiment is a binomial experiment}}[/tex]
[tex]\text{ The outcome of general = 0.35}[/tex]
[tex]So; If[/tex] [tex]X \sim Binomial (n = 3,p= 0.35)[/tex]
[tex]Then;[/tex]
[tex]Mean,[/tex] [tex]E(X) = np[/tex]
[tex]E(X) = (3)(0.35) \\ \\ E(X) = 1.05[/tex]
[tex]\text{Standard deviation:}[/tex]
[tex]\sigma= \sqrt{np(1-p)} \\ \\ = \sqrt{(3)(0.35)(1-0.35)} \\ \\ =0.826[/tex]
[tex]Thus;[/tex]
[tex]\text{Let X be the number of card selections with outcome "General."}[/tex]
[tex]\mathbf{ Then \ X \ is \ a\ binomial \ random \ variable \ with \ mean \ E(X) \ = \ 1.05}[/tex]
[tex]\mathbf{and \ standard \ deviation = 0.826}[/tex]
How many 0.5 ribbons will be cut from a 8 meter
Answers
Answer:
16 ribbons
Step-by-step explanation:
Given
[tex]Length = 8\ meter[/tex]
[tex]Ribbon\ Length = 0.5\ meter[/tex]
Required
Determine the number of ribbons
This is calculated as:
[tex]n = \frac{Length}{Ribbon\ Length}[/tex]
[tex]n = \frac{8m}{0.5m}[/tex]
[tex]n = \frac{8}{0.5}[/tex]
[tex]n = 16[/tex]
the length of a pool 2 km long is represented on a map with a length of 20cm. what is the map scale used?
Answers
Answer:
The scale used is 1: 10,000 cm.
Step-by-step explanation:
Given that the length of a pool 2 km long is represented on a map with a length of 20cm, to determine what is the map scale used the following calculation must be performed:
2 km = 2,000 m
1m = 100cm
2,000 x 100 = 200,000
20: 200,000
10: 100,000
1: 10,000
Thus, the scale used is 1: 10,000 cm.
Answer:
10,000
Step-by-step explanation:
DUE soon! For an unknown parent function f(x), write a function g(x) that is:
vertically stretched by a factor of 2,
shifted up 5 units, and
shifted right 4 units.
Explain how your function accomplishes these transformations.
See I don't know if you can choose whichever parent function to start off.
Answers
Answer and Step-by-step explanation:
The parent function is just f(x) = x.
See, the transformations equation of a parent function is as follows:
f(x) = a(x - h) + k
Where:
a is the scaling factor,
h is the horizontal (left and right) changing factor, and
k is the vertical (up and down) changing factor.
So, now we apply the transformations to this parent function by writing it in function g(x).
Vertically stretch by factor of 2: g(x) = 2x
Shifted up 5 units: g(x) = 2x + 5
Shifted left 4 units: g(x) = 2(x - 4) + 5
g(x) = 2(x - 4) + 5 is the function.
This function accomplishes these transformation by having 2 be the scale factor, 4 be the horizontal shift, and 5 be the the vertical shift.
#teamtrees #PAW (Plant And Water)
2/5 x 10/22 in simplest form
Answers
Answer:
2/11
Step-by-step explanation:
You would have to do 2 times 10 which equals 20. Than 5 times 22 which is 110. No to reduce you have to find the Greatest Common faction which is 10. So 20 divided by 10 equals 2 and 110 divided by 10 is 11.
Fifty people put there name
into a two different drawings
(30 males and 20 females).
One drawing is for an iPad and
the other is for a flat screen
TV. What is the probability
that a female will win the iPad
and a male win the flat
screen?
7.SP.8
Answers
ASAP HW HELP
if you don’t know answer don’t even comment
Answers
Answer:
y=1/4x-3
Step-by-step explanation:
Which polynomial is represented by the algebra tiles?
x2 – x – 4
x2 – x + 4
3x2 – 5x + 8
3x2 – 5x – 8
Answers
Answer:
Its the 2nd option
Step-by-step explanation:
i took the quiz
In ΔQRS, the measure of ∠S=90°, the measure of ∠R=53°, and SQ = 93 feet. Find the length of RS to the nearest tenth of a foot.
Answers
Answer 70.1
Step-by-step explanation:
Which of the following is equivalent to
X^2 - 8x - 7 =0
A.) (x-8)^2 = 15
B.) (x-4)^2 = 15
C.) (x-8)^2 = 23
D.) (x-4)^2 = 23
Answers
Answer: it will be D
Step-by-step explanation: if You graph them you will get the same coordinate plates
Solve 3(4x + 5) = 33
You may use the flowchart to help you if you wish.
Answers
Answer:
This is so simple omg
Expand ”4x+5” out so...
12x + 15 = 33
12x = 33 - 15 = 18
12x = 18
x = 1.5
Answer:
Step-by-step explanation:
In a group of 84 kids, three-sevenths bought their lunches. Of those who bought their lunches, 9 got a slice of pizza. What is the fraction of the students who bought their lunches got a slice of pizza. Write your fraction in simplest form.
Answers
3/7x84=36
Ans: 9/36=1/4
HELP ASAP ILL GIVE BRAINLIEST
Write an expression for
The product of eleven times a number less than 12
11(n - 12)
12n - 11
11n - 12
12 - 11n
Answers
Answer:
11n - 12
Step-by-step explanation:
The answers for the March 22 Recording Check
1. Solve the following one-step equation.
x+5=−7
x = -12 This is the correct answer
x = 2
2. An expression does NOT have an equal sign
The answer would be True
Find the slope of the line that goes through the
(-4,6) and (2.1)
Answers
Answer:
-5/6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-6)/(2-(-4))
m=-5/(2+4)
m=-5/6
This graph represents a linear function.
Enter an equation in the form y=mx+b that represents the function
described by the graph.
*Note: Uses only numbers and symbols, no spaces. If there is a fraction,
10
1
make it improper and use parentheses (ie. y =
72+ z will be typed
as y=(10/7)x+(1/2)]
Type your answer
Answers
Answer:
y=1x-3
Step-by-step explanation:
In the population of young children eligible to participate in a study of whether or not their calcium intake is adequate, 52% are 5 to 10 years of age and 48% are 11 to 13 years of age. For those who are 5 to 10 years of age, 17% have inadequate calcium intake. For those who are 11 to 13 years of age, 54% have inadequate calcium intake. Use Bayes's rule to find the probability that a child from this population who has inadequate intake is 11 to 13 years old.
Answers
Answer:
0.7457 = 74.57% probability that a child from this population who has inadequate intake is 11 to 13 years old.
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Inadequate intake
Event B: Is 11 to 13 years old.
48% are 11 to 13 years of age.
This means that [tex]P(B) = 0.48[/tex]
For those who are 11 to 13 years of age, 54% have inadequate calcium intake.
This means that [tex]P(A|B) = 0.54[/tex]
Probability of inadequate calcium intake:
0.17 of 0.52(5 to 10 years old)
0.54 of 0.48(11 to 13 years old). So
[tex]P(A) = 0.17*0.52 + 0.54*0.48 = 0.3476[/tex]
Find the probability that a child from this population who has inadequate intake is 11 to 13 years old.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.48*0.54}{0.3476} = 0.7457[/tex]
0.7457 = 74.57% probability that a child from this population who has inadequate intake is 11 to 13 years old.
I did part a and b, i need help with the question that says " does the cup hold the exact volume of scoop of ice cream" and part C
Answers
Answer:
See below.
Step-by-step explanation:
Part a is correct.
The volume of part b is correct.
The volume of a scoop is 268 cm^3.
The volume of the cylindrical cup is 402 cm^3.
Part b)
Question: Does the cup hold the exact volume of the scoop? Explain.
Answer: No. The cup holds 402 cm^3 up to the brim. If you overfill it like the picture shows, it will hold even more than 402 cm^2. A scoop is only 268 cm^3, so a cup holds more than the scoop.
Part c)
volume of cone = (1/3)(pi)r^2h
V = (1/3)(3.14159)(4 cm)^2(8 cm)
V = 134 cm^3
If 7 gallons of paint are used to paint 4 classrooms at Cascade Middle
School, then how many gallons of paint would be needed to pain 16
classrooms? Please enter the number value only in the blank.
gallons
Answers
Answer: 28 gallons of paint needed to paint 16 classrooms.
Step-by-step explanation:
As 7 gallons Paint 4 classrooms so if we need to paint 16 classrooms which four times 4 classrooms so 7*4=28 gallons will be needed to paint 16 classrooms
find the length of the missing side 19 yd 50yd pythagorean theorem
Answers
Answer:
the answer is about 53.5
Step-by-step explanation:
2.4 x 6.7 =
I need the work too
Answers
Answer:
16.08
Step-by-step explanation:
A large restaurant chain is curious what proportion of their customers in a given day are new customers. They
are thinking of taking a sample of either n = 50 or nº= 100 customers and building a one-sample z interval for
a proportion using the data from the sample.
Answers
Answer:
It is a false statement
The correct statement is -The margin of error from the smaller sample will be [tex]\sqrt{2}[/tex] times the margin of error from the larger sample.
Step-by-step explanation:
P.S - The exact question is -
Given - A large restaurant chain is curious what proportion of their
customers in a given day are new customers. They are thinking
of taking a sample of either n = 50 or nº= 100 customers and
building a one-sample z interval for a proportion using the data
from the sample.
To find - The margin of error from the smaller sample will be 2 times
the margin of error from the larger sample.
Proof -
We know that
E ∝ [tex]\frac{1}{\sqrt{n} }[/tex]
For smaller margin, E₁ = [tex]\frac{1}{\sqrt{50} }[/tex]
For larger margin , E₂ = [tex]\frac{1}{\sqrt{100} }[/tex]
Now,
[tex]\frac{E_{1} }{E_{2} } = \frac{\sqrt{100} }{\sqrt{50} } = \sqrt{\frac{100}{50} } = \sqrt{2}\\[/tex]
⇒E₁ = [tex]\sqrt{2}[/tex] E₂
⇒The margin of error from the smaller sample will be [tex]\sqrt{2}[/tex] times the margin of error from the larger sample.
So,
It is a false statement.
Find the area of each of the following
Answers
Answer:
The area of this shape is 252.
Step-by-step explanation:
Cut the right piece of the shape into a triangle of 90 degrees, which makes the shape divided into 2 triangles and 1 rectangle.
9 x 13 = 117 (rectangle part)
15 x 9 = 135, 135/2 = 67.5
15 x 9 = 135, 135/2 = 67.5
67.5 + 67.5 + 117 = 252
Find the length of DC.
Answers
Answer:
sqart(89) in
Step-by-step explanation:
As triangle ABC is a right triangle, so sqrt(5^2 + 8^2) = sqrt(89) approximately 9.43 in.
Describe the zeros of the graphed function.
A.
The function has three distinct real zeros.
B.
The function has two distinct real zeros and two complex zeros.
C.
The function has four distinct real zeros.
D.
The function has one distinct real zero and two complex zeros.
Answers
Answer:
A
Step-by-step explanation:
it intersects x axis at three points.
if my answer helps please mark as brainliest.
I NEED HELP PLZZZ!!!!!!
Answers
Answer:
B.
Hope that helps!
Step-by-step explanation:
this question is confusing me
Answers
A parallelogram has an area of 329.4 square inches and a height of 18 inches. What is the length of the base?
Answers
Answer:
329.4 / 18
18.3
An age a minus 2 plus a number,n Evalvate it a=10 n=4
Answers
i think its 12 but i dont know