Answer:
The mean of the sampling distribution of means for the 36 students is of 18.6 homework hours per week.
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:
For the population, the mean is 18.6. So, by the Central Limit Theorem, the mean of the sampling distribution is also 18.6.
You can use the CTL(Central Limit Theorem) here.
The mean of the sampling distribution of means for the 36 students is 18.6
Given that:The number of hours per week that seniors spend on homework is approximately normally distributed with mean 18.6 and std. deviation 6.0Simple random sampling is done of 36 senior and the sample mean is calculated.To find:Mean of the sampling distribution of means for the 36 students.
What does Central Limit Theorem states?There are many variants, but for this case, it states that:
If X is a normally distributed random variable with mean [tex]\mu[/tex]standard deviation [tex]\sigma[/tex] random sample taken with size n (large and large n) is approximately normally distributed (the more large n is, the more close to this normal distribution it tends to) with mean [tex]\mu[/tex] standard deviation [tex]\sigma[/tex].
Thus, the mean of means of random samples taken is given by mean of the original population, which is 18.6
Thus, the mean of the sampling distribution of means for the 36 students is 18.6
Learn more about central limit theorem here:
https://brainly.com/question/1563663
The two-way table shows the ages of the players on different soccer teams.
Which statement is true?
Simplify the expression:
2x + 5 + x
Answer:3x+5
Step-by-step explanation:
1) Combine like terms 2x+5+x
solution: 3x+5
125% of blank is 85
Answer:
68
125 percent (calculated percentage %) of what number equals 85? Answer: 68.
Answer:
68
Step-by-step explanation:
First, let us assign a variable x, for the (blank) in the problem.
Next, converting the question into a math equation, we get:
125% * x = 85.
Solving for x, we get:
1.25x = 85
x = 68.
There are 609 skiers in line for the lift if each chair seats 6 people how many skiers will be on the last chair
Answer:
3 skiers will be on the last chair
Step-by-step explanation:
Divide 609 skiers by 6 people per chair:
609 ÷ 6 = 101.5 (also can write as 101 and remainder of 3)
Multiply 101 • 6 = 606
609 - 606 = 3
I don't really understand part B of this homework problem
Answer:
they are parallel (will never intersect)
Step-by-step explanation:
Consider a particle in a 1-dimensional box defined by V(x)=0, for 0
The question is incomplete. The complete question is :
Consider a particle in a one-dimensional box defined by V(x)=0, a>x>0 and V(x)=infinity, x a, x 0. Explain why each of the following un-normalized functions is or is not an acceptable wave function based on criteria such as being consistent with the boundary conditions, and with the association of psi^+(x)psi(x)dx with the probability.
a). [tex]$A \cos \frac{n \pi x}{a}$[/tex]
b). [tex]$B(x+x^2)$[/tex]
c). [tex]$Cx^3(x-a)$[/tex]
d). [tex]$\frac{D}{\sin \frac{n \pi x}{a}}$[/tex]
Solution :
a). The function of cosine here do not go to the value 0 at the boundary of the box (that is to be expected as V is infinite there).
[tex]$ \Psi (0) = A$[/tex] and [tex]$ \Psi (a) = A \cos(n \pi) = \pm 1$[/tex]
Therefore it is not an acceptable function.
b). The function in this case goes to 0 at [tex]$x=0, $[/tex] but is non zero at [tex]$x=a$[/tex]. So this function is also not acceptable.
c). The function here goes to 0 at both [tex]$x=a$[/tex] and [tex]$x=b$[/tex] . But this wavelength can never satisfy the time independent Schrodinger equation.
[tex]-\frac{\hbar^2}{2m}\frac{d^2}{dx^2}\Psi(x)\neq E\Psi(x)\quad \text{for} \ \quad \Psi(x)=Cx^3(x-a)[/tex]
Therefore, [tex]$\Psi + \Psi $[/tex] here can not be associated with the probability.
d). Here, the function goes to the infinite at [tex]$x=0 $[/tex] and [tex]$x=a$[/tex]. Thus this is also not valid choice for the wave function.
Someone please help me on this and show work I need help I’ll give brainliest
Please help. Will mark brainliest!
Answer: the volume would be 384 but if you want it separately it would 8*4= 32
8*12=96
4*12=48
but the total cost would be 176 after you add up the equations
and the surface area would be 352
hope this helped :D
Answer: It is 384 is for volume and 352 for surface area
Step-by-step explanation: 384 square inches for volume because you multiply all the numbers together. V = LWH (volume=lengh+with+hight)
352 for surface area.
V = (8) x (4) x (12)
V = 384 inches squared
SA = 2(LH)+2(LW)+2(WH)
SA = 2(8x12) + 2(8x4) + 2(4x12)
SA = 192 + 64 + 96
SA = 348 inches squared
I hope this helps! =3
Consider the first three terms of the sequence below. 14,000, 12,600, 11,340...
Complete the recursively-defined function to describe this sequence.
f(1) = (blank)
f(n) = f(n - 1) · (blank), for n ≥ 2
The next term in the sequence is (blank).
Answer:
I think f(1) = is 14,000
Step-by-step explanation:
f(1) = 14,000 should be right but thats about all I know. Sorry.
Every day, Lebron's hot dog cart uses 1.25 pounds of ketchup. For how
many days will 8.75 pounds of ketchup last?
In a nature conservatory, the ratio of butterflies to total number of flying insects is 36 to 100. There are 450 total flying insects.
Create a table for how many butterflies there are for 1, 50, and 100 flying insects. Show your work.
How many butterflies are in the conservatory? Show your work.
HELP ASAP I NEED SHORT ANSWERS
Answer:
sfsdfsfgsg
Step-by-step explanation:
Solve this quadratic equation by completing the square.
x^2 + 6x = 18
Step-by-step explanation:
Use formula
[tex] (\frac{b}{2} ) {}^{2} [/tex]
To add a third new term and factor to find the answer. Example
[tex]x {}^{2} + 6x = 18[/tex]
[tex]( \frac{6}{2} ) {}^{2} [/tex]
Which equal 9. so our equation look like
[tex] {x}^{2} + 6x + 9 = 18 + 9[/tex]
The only number that multiply to 9 and add up to 6 is 3. So we write our equation like this.
[tex](x + 3) {}^{2} = 27[/tex]
Take the sqr root of both sides
[tex]x + 3 = \sqrt{27} [/tex]
Subtract 3 from both sides
[tex]x = \sqrt{27} - 3[/tex]
Since a sqr root of a number can be positive or negative, the answer is
[tex] \sqrt{27} - 3[/tex]
or
[tex] - ( \sqrt{27} ) - 3[/tex]
Make x the subject of the formula y=2x-3
The questions is basically saying make x isolated.
First add 3 to both sides.
y+3=2x-3+3
y+3=2x
Now divide both sides by 2
(y+3)/2=x
x=(y+3)/2
Done!
Any questions just ask me in the comments.
Seven subtracted from five times a number is 123.Find the number.
Answer:
the answer is 42
Step-by-step explanation:
m
n
Given:
(x + 60)
4xº
m || n
*not drawn to scale
What is the value of x?
Answer:
A 20°
Step-by-step explanation:
Explanation:-
Given graph
The corresponding angles are congruent (equal to each other)
(x+60)° = 4 x°
x + 60 = 4x
4x-x = 60
3x =60
x = 20°
The value of x=20°
id iotn like branly plus it keep asking for money and it s super annoying
Answer:
YESSSS ikr like every minute it say UpGrAdE uR bRaInLy and its just ike I ALREADY DIDDDDDD it is VERYYY anouing
Step-by-step explanation:
The brackets for a shelf are in the shape of a triangle. Find the angles of the triangle if the measures of the angles are in the ratio 2x : 3x : 5x
[tex] \huge \blue{\tt{Answer:}} [/tex]
[tex] \sf{2x+3x+5x=180°[angle~sum~property~of~a~triangle]} [/tex]
[tex] \implies \sf{10x=180°} \\\\ \implies \sf{x = {\dfrac{180°}{10}}} \\\\ \implies \sf{x=18°} [/tex]
[tex] \sf{2x= 36°} \\\\ \sf{3x=54°} \\\\ \sf{5x=90°} [/tex]
Find the x- and y-intercepts of the graph of 2x−8y=32. State your answers as whole numbers or as improper fractions in simplest form.
PLEASE HELP
Answer:
x= 16 y= -4
Step-by-step explanation:
So for the x intercept we get positive 16, or (16,0). And then for the y intercept we get negative 4, or (0,-4). Have a great day!! :)
A sea turtie descends 28 feet from the surface of the ocean and then ascends 5 feet. Then it descends & feet and repeats this desceni 4 times. How many feet below the surface is the turtle then?
Answer:
I don't exactly know this but
Step-by-step explanation:
remeber that descend is subtraction. under
Which type of sampling method is being employed in the following example:
"A study was being conducted after a tsunami. The researcher was trying to assess the needs of the victims in a single
downtown high rise apartment building. So, she sent a messenger to ask one person on each floor what their needs were to
get an idea of what was needed to support the people in the building.”
Answer choice
a) Simple Random Sampling
b) Stratified Sampling
c) Clusters Sampling
d) Sampling of Convenience
e) Systematic Sampling
17. Kevin is selling apples at the farmer's
market. He arranges 32 apples into an
array with 4 rows. How many columns of
apples are there?
The proportions of blood phenotypes, A, B, AB, and O, in the population of all Caucasians in the United States are approximately .41, .10, .04, and .45, respectively. A single Caucasian is chosen at random from the population. a List the sample space for this experiment. b Make use of the information given above to assign probabilities to each of the simple events. c What is the probability that the person chosen at random has either type A or type AB blood
Answer:
a. S = {A,B,AB,O}
b. P(A) = 0.41, P(B) = 0.1, P(AB) = 0.04, P(O) = 0.45
c. 0.45 = 45% probability that the person chosen at random has either type A or type AB blood
Step-by-step explanation:
a List the sample space for this experiment.
All possible blood types(A, B, AB or O). So
S = {A,B,AB,O}
b Make use of the information given above to assign probabilities to each of the simple events.
The proportions of blood phenotypes, A, B, AB, and O, in the population of all Caucasians in the United States are approximately .41, .10, .04, and .45, respectively.
So
P(A) = 0.41, P(B) = 0.1, P(AB) = 0.04, P(O) = 0.45
c What is the probability that the person chosen at random has either type A or type AB blood
P(A) + P(AB) = 0.41 + 0.04 = 0.45
0.45 = 45% probability that the person chosen at random has either type A or type AB blood
Write the algebraic
expression for:
the sum of 24 and c
Hi I’m kinda confused and need some help :D
Answer:
24 + c
Step-by-step explanation:
What is the rule for the pattern below?
47, 54, 61, 68, 75
can you help plz this is due soon first on to answer gets brainileist
27 deliveries in 3 hours = ___ deliveries per hour
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
27÷3=9
(hope this helps can i plz have brainlist :D hehe)
Please please please help! Fast
HELPPPP MEEE
Find the missing measure in each triangle with the given angle measures.
x°, 90°, 16.5°
a.
83.5
b.
93.5
c.
63.5
d.
73.5
No question but can you help me with Finding PI lol I don’t really get it. I will mark brainliest 60 points 30 for each person that answers.
Answer:
Make sure you are using a perfect circle. This method won't work with ellipses, ovals or anything but a real circle. A circle is defined as all the points on a plane that are an equal distance from a single center point. The lids of jars are good household objects to use for this exercise.You should be able to calculate pi roughly because in order to get exact results of pi, you will need to ...
Measure the circumference of a circle as accurately as you can. The circumference is the length that goes around the entire edge of the circle. Since the circumference is round, it can be difficult to measure (that's why pi is so important). Lay a string over the circle as closely as you can. Mark the string off where it circles back around, and then measure the string length with a ruler.
Measure the diameter of the circle. The diameter runs from one side of the circle to the other through the circle's center point.
Use the formula. The circumference of a circle is found with the formula C= π*d = 2*π*r. Thus pi equals a circle's circumference divided by its diameter. Plug your numbers into a calculator: the result should be roughly 3.14.[3] X Research source
Repeat this process with several different circles, and then average the results.
Step-by-step explanation:
Answer:
To find the area of a circle the equation is pir^2
To find the circumference of a circle it is 2pir
The pictures show you visually what they look like
r=radius
If this answer helped you then please consider making this brainliest and thank this response :)
Student claims that he can solve 12 X plus 8Y equals 40 and 4X plus 5Y equals 18 for axing why by adding the first equation into multiple of the second equation he can use the new equation and the first equation to create a new system that has the same solution of the original listing it begins by listing for different equations determine whether the student can use the credit to replace the second equation and create a new system that has the same solution select yes or no for each equation
Answer:
x = 2 and y = 2
Step-by-step explanation:
The given system of equations are :
12x+8y = 40 ...(1)
4x+5y = 18 ....(2)
Multiply equation (2) by 3.
12x+15y = 54 ...(3)
Subtract equation (1) by (3).
12x+15y-(12x+8y) = 54-40
12x+15y-12x-8y = 14
7y = 14
y = 2
Put the value of y in equation (2).
4x+5(2) = 18
4x+10 = 18
4x = 8
x = 2
The solutions of the given equations are x = 2 and y = 2