Answer:
0.0268 = 2.68% probability that the sample average is greater than $229,500
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
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.
Single house:
The mean appraised value of a house in this subdivision for all houses is $228,000, with a standard deviation of $8,500, which means that [tex]\mu = 228, \sigma = 8.5[/tex]
Sample:
Sample of 120, so, by the central limit theorem, [tex]n = 120, s = \frac{8.5}{\sqrt{120}} = 0.7759[/tex]
What is the probability that the sample average is greater than $229,500?
This is 1 subtracted by the pvalue of Z when X = 229.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{229.5 - 228}{0.7759}[/tex]
[tex]Z = 1.93[/tex]
[tex]Z = 1.93[/tex] has a pvalue of 0.9732
1 - 0.9732 = 0.0268
0.0268 = 2.68% probability that the sample average is greater than $229,500
A firm’s liquidity level increases when
Can you just solve these two problems I don’t get it. Please help
Answer:
PROBLEM 5: 80
PROBLEM 6: 94
Step-by-step explanation:
PROBLEM 5:
5(2 times 5 + 6)
=5(10+6)
5(16) = 5 times 16
=80
PROBLEM 6:
4 times(5 to the power 2)-6
4(25)-6
=100-6
=94
i need help with #4 please help
Answer:
12b-8+12b-8+9b +8=33b-8
Elizabeth and McKenna are going to the county fair on free student admission night. Elizabeth and McKenna will be able to get in the fair for free however the fair charges $2 per ride. The girls want to know how many ride they can ride and how much will it cost them. What’s the independent and dependent variables ?!?!!
nariz :( jsjsjs f kmambsudbe
An adult and 5 children rent skates. It costs $4 per adult for skates and a total of
$16.
What is the equation?
Answer:
$24
Step-by-step explanation:
(1+5) x 4 = 24 dollars
The scale of a map is 1 cm : 21 km. Find the actual distance corresponding to the map distance.
The distance on the map is 2.5 cm.
Answer:
52.5
Step-by-step explanation:
2.5 x 21 = 52.5
Monu
Exploring Decimals
What is this number in standard form?
(7 x 100) + (4 x 100 ) + (8 x
1,000)
Enter your answer in the box.
Answer:
Step-by-step explanation:
700+400+8000
9100
Answer: 9,100
Step-by-step explanation:
[tex](8*1,000)+(4*100)+(7*100)=\\8,000+400+700=\\8,400+700=\\9,100[/tex]
Please help this is due today!
Calculate the unknown missing angle measures.
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
For ABC A= (-3,3) B= (0.2) and C= (-3,1)
For DFE D= (0,6) F= (2,6) and E= (2,3)
Step-by-step explanation:
I believe tha name of a sequence of transformation will be translation and the Reflection
Hope this Helped
A train travels at a speed of 65 miles per hour. How long did it take the train to travel 227.5 miles?
Answer:
3.5 hours
Step-by-step explanation:
227.5÷65=3.5
what is 8% as a decimal or fraction in simplest form and a fraction of 100
Answer:
=B2*C2+B3*C32.29*20 = 45.80 and 3.49*35 = 122.15.
Step-by-step explanation:
Find the minimum value for the following quadratic equation.
f(x) = 3x2 + 6x-1
Answer:
(-1,-2)
Step-by-step explanation:
Maybe
Each wheel on Nina's car has has a diameter of 18 inches.Which expression could be used to find the circumference of the wheel?
Answer:
56.548667764616276
Step-by-step explanation:
Multiply the diameter by pi.
C= 18 x 3.14159265
Hope this helps!
I need help plzzzzzzzzzz
Answer: The perimeter of the triangle is 33b - 8
Step-by-step explanation:
A restaurant bought 5 pounds of salmon for $42.50. How much would 7 pounds of salmon cost? *
Answer:
59.5
Step-by-step explanation:
42.50/5=8.5
1 lb=8.5
7lb=7*8.5=59.5
In each bag 1/4 pieces of fruit were raisins. 1/2 were bananas. There were 48 slices of dried banana. The remaining pieces of fruit was raspberries. How many pieces of raisins and dried raspberries were there in each bag
Alamo Cola manufactures a soft drink made with 0.25% peach juice concentrate. What is this percent expressed as a fraction
A. 1/4 and 0.25
B. 1/4 and 0.0025
C.1/40 and 0.025
D. 1/400 and 0.0025
Answer:
A
Step-by-step explanation:0.25 is a quarter so 1/4 is also a quarter so you juts add the subcalculus and you get the sum
The blue dot is at what value on the number line?
Answer: 4 since it’s going down by 4.
the diameter of a baseball is approximately 3 inches. what is its volume?
Answer:
About 14.14
Step-by-step explanation:
V = 4/3pi x r^3
To find the radius, divide the diameter by 2 (1.5)
Substitute 1.5 in place of r and solve the equation.
Answer:
14 in^3
Step-by-step explanation: had the question too and got it right
equations with variables on both sides that makes the answer x=9
Answer:
x = 12
Step-by-step explanation:
Answer:
2x=18
Step-by-step explanation:
Just as you are about to estimate a regression (due tomorrow), massive sunspots cause magnetic interference that ruins all electrically powered machines (e.g., computers). Instead of giving up and flunking, you decide to calculate estimates from your data (on per capita income in thousands of U.S. dollars as a function of the percent of the labor force in agriculture in 10 developed countries) using methods like those used in Section 2.1 (Yi = B0 + B1Xi + Ei) without using a computer. Your data are:Country A B C D E F G H I JPer Capita Income 6 8 8 7 7 12 9 8 9 10% in Agriculture 9 10 8 7 10 4 5 5 6 7a.) Calculate Beta-hat zero and Beta-hat one.b.) Calculate R2(r-squared) and R`2 (adjusted r-squared).c.) If the percent of the labor force in agriculture in another developed country was 8 percent, what level of per capita income (in thousands of U.S. dollars) would you guess that country had?
Answer:
A) Beta-hat one = -0.547
Beta-hat zero = 12.2837
b) attached
C) y = $7.904
Step-by-step explanation:
hello attached below is the detailed solution and the table
A) Calculate Beta-hat Zero and Beta-hat one
Beta-hat one :
∑ ( xi - x ) (yi - y ) / ∑ (xi - x )^2
= -22.4 / 40.9 = -0.547
Beta-hat zero :
Y - Beta-hat one * X
= 8.4 - (-0.547 )(7.1 ) = 12.2837
B) Calculate R^2 and R^2
attached below
C) using Regression equalia to determine the level of per capita income
y = 12.28 - 0.547 * x
where x = 8
hence Y = $7.904
Lamont spends $120 on groceries. This is 25% of the money he earns this week. How much does Lamont earn? Show your work
Lamont's total earnings this week come to be $480.
Lamont spends $120 on groceries and this is 25% of the money he earns this week.
This means, $120 = 25% of the total earnings of Lamont
Suppose total earnings =x
What is the percentage?The percentage is the value per hundred.
25% of x= [tex]\frac{25*x}{100}=\frac{x}{4}[/tex]
Given [tex]\frac{x}{4} =120[/tex]
So, [tex]x=480[/tex]
So, his total earnings is $480.
Thus, Lamont's total earnings come to be $480.
To get more about the percentage visit:
https://brainly.com/question/24304697
Which of the following represents a valid function
Answer:
Step-by-step explanation:
The first and third are valid functions. The second is not a function as there are two different y values for the same x value. It fails what is called the ‘vertical line test’.
perform the indicated operation (x-4)(x+8)
Answer:
X^2+4X-32Step-by-step explanation:
I assume you want to simplify this.
Use distributive property:
x^2+4x−32 should be your answer.
Answer:
x^2+4x-32
Step-by-step explanation:
(x-4)(x+8)=x^2+8x-4x-32
x^2+4x-32
Find the product of (x2 + 2x −3)(4x2 − 5x + 6). (2 points) a 4x4 + 13x3 − 16x2 + 27x − 18 b 4x4 + 3x3 − 28x2 + 27x − 18 c 4x4 + 3x3 − 16x2 + 3x − 18 d 4x4 + 3x3 − 16x2 + 27x − 18
Answer:
D
Step-by-step explanation:
We want to find:
[tex](x^2+2x-3)(4x^2-5x+6)[/tex]
Distribute:
[tex]=(x^2+2x-3)(4x^2)+(x^2+2x-3)(-5x)+(x^2+2x-3)(6)[/tex]
Distribute:
[tex]=(4x^4+8x^3-12x^2)+(-5x^3-10x^2+15x)+(6x^2+12x-18)[/tex]
Rearrange:
[tex]=(4x^4)+(8x^3-5x^3)+(-12x^2-10x^2+6x^2)+(15x+12x)+(-18)[/tex]
Combine like terms:
[tex]=4x^4+3x^3-16x^2+27x-18[/tex]
The answer is D.
which is a prime number? a 16 b 17 c 18 d 20
Answer:
17
Step-by-step explanation:
bc nothing can go into it besides 1 and itself.
Which expression represents "9 more than x"?
A. x−9
B. 9⋅x9
C. 9−x
D. x+9
Answer:
C. 9 - x
Step-by-step explanation:
We are given a sentence expression : 9 more than x.
Let's go over all the expressions and what they say as a setnence.
A. x - 9
This would be x more than 9, since the original number of x is way higher than 9. Making this answer incorrect.
B. 9 * x^9? (I am assuming)
This would be 9 times x, not even the correct property.
C. 9 - x
This would be 9 more than x, though you could say it's addition, the value of 9 is more than x, hence making it subtraction.
D. x + 9
This would be 9 plus x, no number has an official value than another.
Solve –2(3x – 1) = 20 for x
Answer:
x = -3
Step-by-step explanation:
Distribution
3x(-2) -1(-2) = 20
-6x +2 = 20
Subtraction Property of Equality
-6x + (2 - 2) = (20 - 2)
-6x = 18
Division Property of Equality
(-6x/-6) = (18/-6)
x = -3
To check just plug in x
Juan want to eat fewer than 800 calories at lunch the table shows the menu at the school cafeteria with the calorie total listed for each item two different meals options for Juan to choose lunch then find the cost for each meals
Answer:
Can you put the picture
Step-by-step explanation:
Given: ∆ABC ≅ ∆DEF. Find DF and m∠B.
Answer:
DF is 3 and angle B is 28
Step-by-step explanation:
If both are congruent, the measurements are the same.
Answer:
DF = 3, Angle B = 28
Step-by-step explanation:
Look how the congruence statement is written. Ac goes with Df and angle E goes with angle B, so they are congruent.
please help and good night
Answer:
(7) n = ⁴/₃
(8) x = -5
(9) d = ³/₂
(10) v = -20
Step-by-step explanation:
(7) [tex]n-\frac{8}{9} = \frac{4}{9}[/tex]
[tex]n-\frac{8}{9} = \frac{4}{9} \\\\Collect \ similar \ terms \ together\\\\n = \frac{4}{9} + \frac{8}{9} \\\\n = \frac{4+8}{9} \\\\n = \frac{12}{9} \\\\n = \frac{4}{3}[/tex]
(8)
[tex]\frac{3}{2} + \ x = -\frac{7}{2}\\\\collect \ similar \ terms \ together\\\\x = -\frac{7}{2} -\frac{3}{2} \\\\x = \frac{-7-3}{2} \\\\x = \frac{-10}{2} \\\\x = -5[/tex]
(9)
[tex]\frac{6}{5} = \frac{d}{(\frac{5}{4} )} \\\\cross \ and \ multiply\\\\5d = 6(\frac{5}{4} )\\\\5d = \frac{30}{4} \\\\d = \frac{30}{4\times 5} \\\\d = \frac{30}{20} \\\\d = \frac{3}{2} \\\\d = 1\frac{1}{2}[/tex]
(10)
[tex]-\frac{1}{8} v = \frac{5}{2} \\\\\frac{-v}{8} = \frac{5}{2} \\\\cross \ and \ multiply\\\\-2v = 40\\\\-v = \frac{40}{2} \\\\-v = 20\\\\v = -20[/tex]
