Answer:
(A) Approximately normal with mean $206,274 and standard deviation $3,788
Step-by-step explanation:
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.
Population:
Right skewed
Mean $206,274
Standard deviation $37,881.
Sample:
By the Central Limit Theorem, approximately normal.
Mean $206,274
Standard deviation [tex]s = \frac{37881}{\sqrt{100}} = 3788.1[/tex]
So the correct answer is:
(A) Approximately normal with mean $206,274 and standard deviation $3,788
Approximately normal with mean is $206,274 and standard deviation is $3,788 and this can be determined by applying the central limit theorem.
Given :
There were 5,317 previously owned homes sold in a western city in the year 2000.The distribution of the sales prices of these homes was strongly right-skewed, with a mean of $206,274 and a standard deviation of $37,881. Simple random samples of size 100.According to the central limit theorem the approximately normal mean is $206274.
Now, to determine the approximately normal standard deviation, use the below formula:
[tex]s =\dfrac{\sigma }{\sqrt{n} }[/tex] ---- (1)
where 's' is the approximately normal standard deviation, 'n' is the sample size, and [tex]\sigma[/tex] is the standard deviation.
Now, put the known values in the equation (1).
[tex]s = \dfrac{37881}{\sqrt{100} }[/tex]
s = 3788.1
[tex]\rm s \approx 3788[/tex]
So, the correct option is A).
For more information, refer to the link given below:
https://brainly.com/question/18403552
The sum of three consecutive even number is 114. What is the smallest of these numbers?
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We can call the smallest number '2n'
The next number can be '2n + 2' and the last number can be '2n + 4'
So, 2n + 2n + 2 + 2n + 4 = 114
Simplify this to get:
6n + 6 = 114
- 6 from both sides
6n = 108
/ 6 on both sides
n = 18
2(18) = 36
It would be 36
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what is the quotient of 5.76×7 and 9.0×10 to the fourth power expressed in scientific notation?
Answer:
4.48 ×10^-4
Step-by-step explanation:
Now putting the sentence into a mathematical relationship (recall that quotient is the result of division). We have;
5.76 ×7 / 9.0×10^4 = 40.32/90000= 4.48 ×10^-4
Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians and engineers.
The general format for writing scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one. a may also be expressed as a decimal as in the answer above. a may also be equal to or greater than 10 as the case maybe. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.
a train 150 metre long is running at 72 kilometre per hour it crosses a bridge in 13 seconds find the length of the bridge
Answer:
Length of the bridge = 110 m
Step-by-step explanation:
Let the length of the bridge be x m.
Total distance covered by train in 13 sec = length of train + length of bridge = (150 + x) m
[tex]speed \: of \: train \\ = 72 \: kmph \\ = 72 \times \frac{1000}{3600} \: mps \\ = 20 \: mps \\ \because \: distance = speed \times time \\ \therefore \: 150 + x = 20 \times 13 \\ \therefore \: 150 + x = 260 \\ \therefore \:x = 260 - 150 \\ \huge \red{ \boxed{\therefore \:x = 110 \: m}}[/tex]
mps means meter per second
A store sells a 114 pound package of turkey for $9.
What is the unit price of the turkey in the package?
Answer:
Each pound of turkey in the package cost 7.20 dollars.
Step-by-step explanation:
If you wanted a explanation then comment
Answer:
$7.20
Step-by-step explanation:
The first step is to convert 1 1/4 to decimal form. 1/4=0.25, which when added to the 1 gives a total weight of 1.25 pounds. Dividing this by the price to find the unit price, you get 9/1.25=$7.20 per pound of turkey. Hope this helps!
Point A is a representation of which number on the number line?
A number line has points blank, A, negative 2, B, 0, C, 2, blank, D.
–4
–3
1
4
Answer:
B
Step-by-step explanation:
Answer
-3
Step-by-step explanation:
on edge 2020
Jen bought 40 bracelets and 40 necklaces for $3,040. Mark bought 80 bracelets and 40 necklaces for $3,760.
Use elimination to sole the system of linear equations and determine how much each bracelet cost, x and how much each necklace coast. (x,y)
Answer:
bracelet $18necklace $58Step-by-step explanation:
You are given that ...
40x +40y = 3040
80x +40y = 3760
Eliminate y by subtracting the first equation from the second:
(80x +40y) -(40x +40y) = (3760) -(3040)
40x = 720
x = 18
Using the first equation to find y, we have ...
40y = 3040 -40x
y = 76 -x . . . . . divide by 40
y = 76 -18 = 58
The cost of a bracelet is $18; the cost of a necklace is $58.
The table shows the price of strawberries this week at The Produce Place.
Weight (lb)
1
2.
3
4
Price (dollars)
2.50
5.00
7.50
10.00
What is the constant of proportionality? Complete the statement.
The constant of proportionality is
Answer:
The constant of proportionality is 2.50
Step-by-step explanation:
For a weight of 1 lb, the price is $2.50, so the price in dollars is related to the weight in pounds by the constant 2.50.
The constant of proportionality is 2.50 (dollars per pound).
Answer:
its 2.5
Step-by-step explanation:
What is the sum of the first 37 terms of the arithmetic sequence?
−27,−21,−15,−9,...
Enter your answer in the box.
Answer:
The sum of the first 37 terms of the arithmetic sequence is 2997.
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is the following:
[tex]a_{n+1} = a_{n} + d[/tex]
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
[tex]a_{n} = a_{1} + (n-1)*d[/tex]
The sum of the first n terms of an arithmetic sequence is given by:
[tex]S_{n} = \frac{n(a_{1} + a_{n})}{2}[/tex]
In this question:
[tex]a_{1} = -27, d = -21 - (-27) = -15 - (-21) = ... = 6[/tex]
We want the sum of the first 37 terms, so we have to find [tex]a_{37}[/tex]
[tex]a_{n} = a_{1} + (n-1)*d[/tex]
[tex]a_{37} = a_{1} + (36)*d[/tex]
[tex]a_{37} = -27 + 36*6[/tex]
[tex]a_{37} = 189[/tex]
Then
[tex]S_{37} = \frac{37(-27 + 189)}{2} = 2997[/tex]
The sum of the first 37 terms of the arithmetic sequence is 2997.
Multiply the following numbers.
18.4 x 7.1 =
130.64
1,306.4
13.064
1.3064
Answer:
The first one
Step-by-step explanation:
you would do 18.4 times 7.1 which is 130.64 which is equal to 130.64 which is the first answer
Hope this helped
(・∀・(・∀・(・∀・*)
The movie, Avatar, earned $760 million in America theaters and $2.022 billion in foreign theaters. How much did Avatar earn worldwide in theaters?
Answer:
2.782 billion
Step-by-step explanation:
Answer:
= $2.782 billion
Step-by-step explanation:
American theaters = $ 760,000,000
Foreign theaters = $ 2,022,000,000
= $ 760,000,000 + $ 2,022,000,000
= $ 2,782,000,000
= $ 2.782 billion
Central Tendency:Question 4
Using the data below, what is the median?
14, 12, 12, 18 , 22 , 20, 17
Select one:
10
18
12
17
Answer:
17
Step-by-step explanation:
14, 12, 12, 18 , 22 , 20, 17
Put the numbers in order from smallest to largest
12, 12, 14,17, 18 , 20 , 22
The median is the middle number
12, 12, 14, 17, 18 , 20 , 22
The middle number is 17
14 in.
2 in.
2 in.
3 in.
3 in.
The volume of the figure
cubic in.
There are 31 flavors of ice cream, 2 choices of cones, 1 scoop, 2 scoops, or 3 scoops. How many different choices are there?
Answer:
There are 39 different choices
Step-by-step explanation:
Add the the flavors of ice cream the cones and the scoops.
31+2=33
1+2+3=6
33+6=39
Hope this helps
Workers specified as actively disengaged are those who are emotionally disconnected from their work and workplace. A poll surveyed individuals who were either unemployed or who were actively disengaged in their current position. Individuals were asked to classify themselves as thriving or struggling. The poll reported that 62% of the actively disengaged group claimed to be thriving, compared to 42% of the unemployed group. Complete parts a through c below.
a. Are these percentages (probabilities) ordinary or conditional? Explain, by specifying events to which the probabilties refer
A. Ordinary, because the statement gives the probability of one independent event occurring
B. Conditional, because the statement gives the probability of one independent
C. Ordinary, because the statement gives the probability of one event occurring, given that another event
D. Conditional, because statement the statement gives the probability of one event occurring, given that another event has occurred.
Answer:
D. Conditional, because statement the statement gives the probability of one event occurring, given that another event has occurred.
Step-by-step explanation:
Both of the probabilities provided are conditional since they represent a probability of an event occurring, given that another event has already occured.
The poll gives us that there is a 62% probability of individuals classifying themselves to be thriving, given that they are actively disengaged. It also says that there is a 42% probability of individuals classifying themselfs to be thriving, given that they are unemployed.
The "given that" expression represents the condition that an event has previously occurred, which means that the probabilities shown are Conditional.
Which of the following represents the general term for the sequence
Answer:
where is the options
please give options then I will tell you answer
and I am Indian I like to make friends and help others.
Answer:
whats the sequence, whenever you post it or update this one, let me know and ill get back to you as soon as i see it.
Cara is painting her living room. The room measures 10.6 feet by 11.6 feet. The ceiling is 10 feet
high
If paint covers 400 square feet, per gallon, and costs $14.95 a gallon, how much will it cost to paint
Cara's room?
Answer:
$29.90
Step-by-step explanation:
Can you only buy paint by the gallon? That is what I am thinking.
She is painting 4 walls. I am thinking that she is not painting the floor or the ceiling.
The area of the four walls would be:
(11.6 x 10) = 116
(11.6 x 10) = 116
10.6 x 10) = 106
(10.6 x 10) = 106
This totals 444 square feet. Since a gallon can only paint 400 square feet, she will need to buy 2 gallons for 29.90
What is 3.14 times 10
Cuanto es 32256 dividido para 25 con proceso
Answer:
1290.24
Step-by-step explanation:
This has to do with simple division
Cuanto es 32256 dividido para 25 con process translation was translated In English language. I translated the question to mean 32256 divided by 25
Step one
32256 divided by 25
32256/25 = 1290.24
The answer is 1290.24
Giving brainliest for CORRECT awnser.
Answer:
Option A
................
Find the distance between the points (2,5) and (1,-2)
Answer:
distance between the two points is 7.071
The difference of 3 times a number and 15 is no less than the square of the number.
Answer:
3x-15 greater than/= x^2
Step-by-step explanation:
write the measurement 1357 mm into the place value table below
m I cm I mm
I I
Answer:
m=1.357 cm=135.7 mm=1357
Step-by-step explanation:
m=1357 Divided by 1000
cm=1357 Divided by 10
The measurement 1357 mm into the meters, centimeters, and mm are 1.357, 13.57, and 1357 respectively.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
The measurement is 1357 mm
As we know,
1 m = 100 cm
1 cm = 10 mm
Or
1 m = 100 cm = 1000 mm
The measurement is 1357 mm
It can be converted into m after dividing by 1000
= 1357/1000
= 1.357 m
In cm:
Divide by 10
= 1357/10
= 13.57
Thus, the measurement 1357 mm into the meters, centimeters, and mm are 1.357, 13.57, and 1357 respectively.
Learn more about the unit conversion here:
https://brainly.com/question/11543684
#SPJ2
A number is randomly selected from 10 to 20. X is the event of selecting
a number divisible by 3. Y is the event of selecting a prime number.
a) Draw a Venn diagram to represent the information.
b) Are events X and Y mutually exclusive? Explain.
c) Find P(X) and P(Y).
Answer:
unsure
Step-by-step explanation:
idk
Help me I’m stressed with this
I WILL MARK AS BRANLIEST!
Answer:
y = 8x + 3
Step-by-step explanation:
We already know that the slope-intercept of the line is y = mx + b. We know that b = 3 because the line goes through (0, 3), which is the x-intercept. Now to find the slope, or m. The slope of a line is (y₂ - y₁) / (x₂ - x₁). In this case we have (x₁ , y₁) = (-1, -5) and (x₂ , y₂) = (0, 3). Plugging these in we get
(3 - (-5)) / (0 - (-1)) = 8 / 1 = 8. Therefore our answer is y = 8x + 3. Hope this helps!
Someone please help :3
Answer:
favorite zoo animal
Step-by-step explanation:
Answer: Favorite zoo animal
Step-by-step explanation:
Solve the equation 5x + 23 = 2y - 5 for x if
y is 4. Make sure to first solve the equation for
x in terms of y.
X =
Does anyone on Brainly know how to do this
Answer:
P'(5, -1)Q'(7, 3)R'(10, 1)Step-by-step explanation:
The translation 5 to the right adds 5 to the x-value.
The translation 1 unit down subtracts 1 from the y-value.
(x, y) ⇒ (x+5, y-1)
P(0, 0) ⇒ P'(0+5, 0-1) = P'(5, -1)
Q(2, 4) ⇒ Q'(2+5,4-1) = Q'(7, 3)
R( 5, 2) ⇒ R'(5+5, 2-1) = R'(10, 1)
Answer:
P'[5,-1], Q' [7,3], R'[10,1]
Step-by-step explanation:
Since the object translates 5 unit to the right and 1 unit down ;it means the value of X will move 5 units positively and the value of y will decrement by 1 of its original value to create the image.
On one day in an ice cream store, 48% of the cones they sell are chocolate. What is 48% written as a decimal?
Answer:
48% written as a decimal is 0.48.
Step-by-step explanation:
Conversion of a percentage to decimal:
To realize the conversion of a percentage to decial, we must divide the percentage by 100.
For example, 20% as a decimal is 20/100 = 0.1.
So
What is 48% written as a decimal?
Dividing by 100
48/100 = 0.48
48% written as a decimal is 0.48.
Question 2
0/1 pts
A design for a building has a scale of 1/3 inch = 4 meters. On the blueprint
(drawing of the building), the length of the building is 2 2/3 inches. What is the
actual length of the building?
Answer:
32 m
Step-by-step explanation:
The length of the building on the drawing is 2 2/3 = 8/3 inches, so represents a length that is 8 times the length represented by 1/3 inch.
8 × 4 m = 32 m
The actual length of the building is 32 meters.
for which functions f ' (x) is equal to f^-1 (x)