Census data from a city of 150,000 residents produced the income distribution shown here: A distribution curve of income in thousands of dollars. The curve is right skewed with a mean between 50 and 100. Suppose that we were to take random samples of 100 residents from this population and calculate ˉ x as the sample mean income of the residents in each sample.
Using the Central Limit Theorem, it is found that the shape of [tex]\bar{x}[/tex] is approximately normal.
The Central Limit Theorem establishes 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 problem, the distribution is not normal, however the sample size is of 100 > 30, hence the Central Limit Theorem is applicable and the shape of [tex]\bar{x}[/tex] is approximately normal.
To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/4086221
1+2+3+4+5+6+7+8+9+10+11+!2+13=?
Answer:
91
Step-by-step explanation:
1+2+3+4+5+6+7+8+9+10+11+12+13 = (14 * 6) + 7 = 91
What is the equation of the line with a slope of
−
1
4
and a y-intercept of –3?
A.
y
=
−
3
x
+
1
4
B.
y
=
−
1
4
x
+
3
C.
y
=
−
1
4
x
−
3
D.
y
=
−
3
x
−
1
4
Anyone know these answers for algebra? (There's 16)
1. 7/n-6=9/5
2. r-2/5=6/7
3. A+6/5=7/2
4. 10/2=x-9/4
5. 8/7=9/n-7
6. p-7/p=10/8
7. N+9/3=n/4
8. N+8/6=n/4
9. 7% of what is 20.4
10. 71 is 38% of what
11. What percent of 158 is 6
12. 390% of what is 150
13. 47% of what is 91.6
14. 10% of what is 159
15. 34% of what is 126
16. 91% of what is 48
Answer two questions about Equations AAA and BBB:
\begin{aligned} A.&&3x-1&=7 \\\\ B.&&3x&=8 \end{aligned}
A.
B.
3x−1
3x
=7
=8
Answer:
I don,t knowe wallh
Step-by-step explanation:
Which of the following points lie in the solution set to the following system of inequalities? y > â’3x 3 y > x 2 (2, â’5) (â’2, 5) (2, 5) (â’2, â’5).
Answer:
The concept of identity, the meaning we give to ourselves and our sense of purpose, connects us to others. This concept best illustrates the link between the psychological and ____ system
What is (f+g) (x)
f(x) = -3x+3
g(x)=-4x as a polynomial or rational function in simplest form?
i just need to know if this is correct and if i need to fix anything
Answer:
its correct
Step-by-step explanation:
A pilot flew a plane from an altitude of 16,400 feet to an altitude of 15,600 feet what was the change in altitude
Answer: 800 feet.
Step-by-step explanation: 16,400-15,600=800 this is an easier way the find the drop in altitude.
Translate the sentence into an equation
Five less than the product of 3 and a number equals 7
Use the variable b for the unknown number
Answer:
5-3x=7
Step-by-step explanation:
A group of students are working on a project. They complete 30%percent of the project in 12 hours. If they continue to work at the same speed, how many hours will it take the group to finish the project
Answer: 40 HOURS
Step-by-step explanation:
If the students complete 30% of the project in 12 hours,
that means:
12 h................................30%
? h...................................100%
(12*100)/30= 40H
THE STUDENTS NEED 40H TO COMPLETE THE PROJECT
It will take 40 hours for the group to finish the project.
How many hours will it take the group to finish the project?
If the students complete 30% of the project in 12 hours,
that means:
⇒ 12 h = 30%
⇒ ? h = 100%
By using percentage theory:
Percentage formula = (Value/Total value) × 100.
⇒ (12*100)/30= 40H
The answer is 40 hours.
What are a percentage and its formula?
To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100. Percentage formula = (Value/Total value) × 100.
Learn more about percentage here: brainly.com/question/843074
#SPJ2
10/11 x 3/7 x 1/2 Multiply. Write your answer as a fraction in the simplest form.
What is 38x+40+120x=34x-7(20-19x)
Answer:
3
8
+
4
0
+
1
2
0
=
3
4
−
7
(
2
0
−
1
9
)
{\color{#c92786}{38x}}+40+{\color{#c92786}{120x}}=34x-7(20-19x)
1
5
8
+
4
0
=
3
4
−
7
(
2
0
9
)
Step-by-step explanation:
Answer:
x = 20
Step-by-step explanation:
[tex]38x+40+120x=34x-7(20-19x)\\\rule{180}{0.5}\\\text{Simplifying the left:}\\\\38x+120x+40\\\\158x + 40\\\\\text{Simplifying the right:}\\\\34x-7(20-19x)\\\\34x - 140 + 133x\\\\34x + 133x - 140\\\\167x - 140\\\rule{180}{0.5}\\158x + 40 = 167x - 140\\\\158x + 40 - 40 = 167x - 140 - 40\\\\158x = 167x - 180\\\\158x - 167x = 167x - 167x - 180\\\\-9x = -180\\\\\frac{-9x}{-180}\\\\\boxed{x = 20}[/tex]
Hope this helps.
need help with this pls
Answer:
Hence y = (5k -3)/ (1 - k)
.... shown
What is the simplest form of ^4sqrt324x^6y^8
[tex]\rm{\green{Answer \: is:-}}[/tex]
[tex]3xy \sqrt[24]{ {4x}^{2} } [/tex](3xy^2 4 sqrt 4x^2)
Step-by-step explanation:
Hope it's helpful to youLet's see
[tex]\\ \rm\Rrightarrow \sqrt[4]{324x^6y^8}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{4}{18^2x^6y^8}[/tex]
m√a^n=a^n/m[tex]\\ \rm\Rrightarrow 18^{2/4}x^{6/4}y^{8/4}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{18}x^{3/2}y^2[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{18}\sqrt[2]{x^3}y^2[/tex]
Helpp real quick GIVING CROWNN!!
Answer:
2g+60>92
Step-by-step explanation:
after sales tax a 33 dollar photo album cost 35.97 dollars. What is the sales tax percentage
Answer:
9%
Step-by-step explanation:
Set up a ratio:
[tex]\frac{33}{100}[/tex] = [tex]\frac{35.97}{x}[/tex]
Cross multiply: 33x = 35.97 * 100
33x = 3597
Divide by 33: x = 109
That means the tax is 9%.
Evaluate
3
2
+
(
−
k
)
+
(
−
2
)
2
3
+(−k)+(−2)start fraction, 3, divided by, 2, end fraction, plus, left parenthesis, minus, k, right parenthesis, plus, left parenthesis, minus, 2, right parenthesis where
k
=
−
5
2
k=−
2
5
k, equals, minus, start fraction, 5, divided by, 2, end fraction.
Answer:
Iam very confused on this Answer please help me
Step-by-step explanation:
Find the commission 700 sales and 6% commmision rate
Answer: How to calculate commission. This is a very basic calculation revolving around percents. Just take sale price, multiply it by the commission ...
Step-by-step explanation:
Multiply
-4/5 • 3
Write your answer in simplest form.
Answer:
[tex]-2\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]\frac{-4}{5} *\frac{3}{1}[/tex] multiply across
[tex]\frac{-12}{5}[/tex] turn into mixed number
[tex]-2\frac{2}{5}[/tex]
Question 1
On page 179 of your textbook, what percent of group A are Blue squares? What percent of group B are Blue squares? What percent of group C are Blue squares?
The Percent of Blue sqaures out of the total for Group A is _ %.
The Percent of Blue sqaures out of the total for Group B is _ %.
The Percent of Blue sqaures out of the total for Group C is _ %.
Answer:
The Percent of Blue sqaures out of the total for Group A is 75%.
The Percent of Blue sqaures out of the total for Group B is 60%.
The Percent of Blue sqaures out of the total for Group C is 66.66666%.
the perimeter of a rectangular field is is 84m.If the width of the rectangle is 6m less than the length,then find the dimensions?please friends help!!!!!!!!
Answer:
24
**Solving Steps**
2 x (2 x X - 6) = 84
4x-12=84
84+12=96
96/4 = 24
Hope it helps.
Work out the area of a rectangle with base, b = 32mm and perimeter, P = 82mm.
Hey there! I attached a pic of how to solve this. Hope it helps!
What is the property to be used in each equation to solve for x? APE, SPE, MPE or DPE? (Property of Equality)
x+47=28
20=x-11
3.9x=27.3
5/7=-5/7 x
-x=27
32-x=27
Answer:
S, A, D, D, M
Step-by-step explanation:
Always do the opposite of what is happening in the equation.
x + 47 = 28, is adding, so you would use subtraction to solve for x.
The diameter of a circle is 3 miles what is the area
Answer:
[tex]2.25\pi[/tex] or [tex]7.07 mi^{2}[/tex]
Step-by-step explanation:
The formula for the area of a circle is:
[tex]\pi r^{2}=A[/tex]
Radius is half of the diameter of a circle so you will get this:
[tex]\pi (\frac{3}{2}) ^{2}\\\\\pi (1.5)^2\\\\2.25\pi \\\\7.07[/tex]
2/5 of a kiddy pool was filled with water. After pouring out 5/7
of the amount of water in the pool 62 liters of water was needed to fill the pool completely. Find
the amount of water needed to fill up the empty
pool.
Answer:
The question is asking what is the volume of water in the full pool. It is 70 liters.
Step-by-step explanation:
Let P represent the volume of a full pool.
"2/5 of a kiddy pool was filled with water" can be written as:
(2/5)P.
"After pouring out 5/7 of the amount of [I assume from the 2/5P] water in the pool" can be written as:
(2/7)(2/5)P, or (4/35)P [This represents the amount of water remaining in the pool after the above shenanigans.]
The we are told that when 62 liters are added back to the pool, it is full. That can be written as:
62 + (4/35)P = P [Add 62 liters to what was remaining. ((4/35)P), and we'll have P, a full pool, for a cool fool. [sorry]
62 = (31/35)P
P = 62(35/31)
P = 70 liters
HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!
[tex]\left(-\dfrac 16 \right)^2 +\dfrac 58 \left(-\dfrac 19} \right)\\\\\\=\dfrac 1{36} -\dfrac{5}{72}\\\\\\=\dfrac 2{72} - \dfrac{5}{72}\\\\\\=-\dfrac 3{72}\\\\\\=-\dfrac 1{24}[/tex]
Answer:
Step-by-step explanation:
(-1/6)^2 + 5/8(-1/9)= -0.0416
Thus the answer is -1/24
What is the measure of the third angle of this triangle?
Please explain how to solve in a easy way
25 points! :)
Pretty simple question, just not sure how to do it.
ANSWER
-3 -2, 0, .5, 1, 100 for domain
0, 1.8, 10, 19, 77, 100 For Range
Step-by-step explanation:
Domain is all the x values from least to greatest, and range is all the y vlues from least to greatet
(5z+5)+(7z+4) what is this confused ?
Answer:
U have to solve this equation[tex](5z + 5) \: + \: (7z + 4)[/tex]
[tex]5z + 5 - 7z - 4[/tex]
[tex]5z - 7z + 5 - 4[/tex]
[tex]2z + 1[/tex]
hope this helps you !!