Answer:
0.8665 = 86.65% probability that the sample mean would be at least $39000
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, 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.
Mean $39725 and standard deviation $7320.
This means that [tex]\mu = 39725, \sigma = 7320[/tex]
Sample of 125:
This means that [tex]n = 125, s = \frac{7320}{\sqrt{125}} = 654.72[/tex]
The probability that the sample mean would be at least $39000 is about?
This is 1 subtracted by the pvalue of Z when X = 39000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{39000 - 39725}{654.72}[/tex]
[tex]Z = -1.11[/tex]
[tex]Z = -1.11[/tex] has a pvalue of 0.1335
1 - 0.1335 = 0.8665
0.8665 = 86.65% probability that the sample mean would be at least $39000
The sum of −7 times a number and 8 times the sum of the number and 1 is the same as the number minus 7.
Answer:
n has no value.
There is no solution to this equation
Step-by-step explanation:
let n be the number
In pieces:
sum of the number and 1: (n + 1)
8 times the sum: 8(n + 1)
-7 times a number: -7n
sum of -7 times and...: -7n + 8(n + 1)
number minus 7: n - 7
the same as: =
All together:
-7n + 8(n + 1) = n - 7
-7n + 8(n+1)=n-7
-7n + 8n+8=n-7
0=-15
If the outside diameter of a pipe is 1.25 ft and the inside diameter is 0.975 ft how thick is the pipe
Answer:
0.275
Step-by-step explanation:
1.25-0.975=0.275
If this circle has a radius of 7.4 and m
intercepted sector (shaded blue). Round answers to two decimal places.
Use the r button on your calculator.
Answer:
Gddghdhdhdhy heifer here early enough h her y
i need help with this problem x^2+2x-36=2x
Write the decimal in expanded form: 8.6 ( no file or no link i will give brainliest if you are correct)
Answer:
8+0.6 is the expanded form I believe
Step-by-step explanation:
The whole number always comes first in decimal expanded forms, in this case, 8 is the whole number. Then you add the decimal part which is 0.6. So 8+0.6=8.6.
Answer:
notation is) 8 + 0.6
factor is) 8*1 + 6+.1
exponential is) 8^10^0 and 6^10^-1
word is) eight point six
Step-by-step explanation:
Which Proportion Could Be Used To Solve ...
Answer:
[tex]\frac{6}{h} = \frac{10}{40}[/tex]
Step-by-step explanation:
Given
The attached image
Required
The proportion of the height of the tree
Represent the height of the tree with h.
To solve for h, we make use of the following equivalent ratio
[tex]40 : h = 10 : 6[/tex]
Express as fraction
[tex]\frac{40 }{ h }= \frac{10 }{ 6}[/tex]
Cross multiply
[tex]40 * 6 = 10 * h[/tex]
Divide by 40h
[tex]\frac{40 * 6}{40h} = \frac{10 * h}{40h}[/tex]
[tex]\frac{6}{h} = \frac{10}{40}[/tex]
What does the fox say?
Answer:
Joff-tchoff-tchoffo-tchoffo-tchoff!
Tchoff-tchoff-tchoffo-tchoffo-tchoff!
Joff-tchoff-tchoffo-tchoffo-tchoff!
Step-by-step explanation:
Answer:
"Joff-tchoff-tchoffo-tchoffo-tchoff!
Tchoff-tchoff-tchoffo-tchoffo-tchoff!
Joff-tchoff-tchoffo-tchoffo-tchoff!"
1. Which studio charges more?
2. Raj wants to take 8 classes a month. Which studio is cheaper?
Answer:It would be the first class
Step-by-step explanation:
Because you are paying $70 per month and get a the class you want. and also i had the sames question also
just because the second class has smaller fees it also says that you have to pay more for every class.
Surface area to volume ratio for a sphere
Someone explain and help me do this for me I really need the help
Answer:
74.13
6×10=60
A=pi r^2
3.14×3^2=28.26
28.26/2 =14.13 (because it is half a circle)
14.13+60=74.13
not sure if that is correct but that is what i got
The fifth graders all decided to have a race afterwords Kylie was so thirsty she drank 3 pints of water Valentina was also thirsty so she drank 24 fluid ounces of water who drank more water Kylie or Valentina?
Answer:
Kylie drank more water than Valentina
Step-by-step explanation:
I know that Kylie drank more water than Valentina.
I know this because I took 3 pints and found how many fluid ounces that would equal. 1 pint is equivalent to 16 fluid ounces. So, three pints would be equal to 48 fluid ounces. 16x3=48
Valentina drank 24 fluid ounces.
48 is greater than 24, so Kylie drank more water than Valentina.
Can you help thanks!
Answer:
y = 3x + 41
Step-by-step explanation:
First, lets set up the slope-intercept form equation, that is...
y = mx + b
m = slope
b = y-intercept
because the y-intercept is a positive value, it cannot be y=-3x-41 or y= 3x-41
now, we know that b = 41, but what is the slope?
Well, here are tips for doing slope
if the line is gradually increasing upwards, then it is a positive slope
if the line is gradually decreasing downwards, then it is a negative slope
because the line in the picture is positive, this proves y=-3x+41 wrong, therefore making y = 3x + 41 the only correct answer
Therefore, your correct answer is y = 3x + 41
I need help solve this !! Pls help pls not links ;)
Answer:
A / D / E
Step-by-step explanation:
f (1) = 1
f(2) = 5
f(3) = 9
24-u=234 solve for u
Answer:
u= -210
Step-by-step explanation:
Hope this is helpful(please make me the brainliest!)
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
Angle VUX and angle WXU
are alternate interior angles
hope it helps
The angle of elevation from Nathan to a lighthouse is 74°.
If the lighthouse is 112 feet tall, how far is Nathan from the
base of the lighthouse?
Answer:
Nathan is 36.3910059 ft from the base of the lighthouse.
Step-by-step explanation:
So to find the base, you have to find the tan (both legs) of the right triangle that the lighthouse makes. The angle of Nathan to the lighthouse is 74° so to find the distances, you have to do the tan(72) = opp/adj
The opposite is 112, and we have to find the adjacent.
tan(72) = 112/adj
3.07768354 = 112/adj
adj = 112/3.07768354
adj = 36.3910059
I couldn't type it so I added a file.
Answer
First factor Second factor
1 45
3 15
5 9
Step-by-step explanation:
So in order to find the factors, you might need to multiply or divide.
1 * 45 = 45
3 * 15 = 45
5 * 9 = 45
A television newscaster from a 24-hour news station wants to estimate the number of hours per day its
viewers watch programming on this channel. The newscaster randomly selects 100 viewers and asks them
how many hours per day they watch this station. The newscaster constructs an 85% confidence interval for
the true mean number of hours viewers watch this station. Which of the following would decrease the margin
of error?
using a sample of size 50
using a sample of size 200
constructing a 90% confidence interval
constructing a 95% confidence interval
Answer:
B, using a sample of size 200
Step-by-step explanation:
just got it right
Answer:
B.
Step-by-step explanation:
EDGE2022
Two numbers total 58 and have a difference of 8 . Find the two numbers.
Answer:
x = 33 , y = 25
Here's your solution
=> let both number be x and y
=> so, x + y = 58
=> x - y = 8
=> solving both equation { add both }
=> 2x = 66
=> x = 33
=> now putting value of x in equation
=> 33 + y = 58
=> y = 58 - 33
=> y = 25
hope it helps
what is the equation of the line in slope-intercept form?
pls help i cant get this wrong
Answer:
y=mx+b
Step-by-step explanation:
Jami covered the lateral faces the
wooden box shown with felt.
Which expression shows the amount
of felt, in square centimeters, that she
used to cover the lateral faces?
Answer:
304
Step-by-step explanation:
find the area of each side, then add together
top and bottom are 10*8= 80 80*2= 160
front and back are 10*4=40 40*2=80
left and right sides are 8*4=32 32*2=64
160+80+64=304
Let X={a,b,c,3,4,5) and Y = {b,d,f,3,5,7).
List the members of the set XU Y, using set braces.
XUY= { }
(Use a comma to separate answers as needed.)
Answer:
{a,b,c,d,f,3,4,5,7}
Step-by-step explanation:
If X={a,b,c,3,4,5}
Y={b,d,f,3,5,7}
THEREFORE {XUY}= {a,b,c,d,f,3,4,5,7}
XUY represents the union of sets X and Yas {a, b, c, d, f, 3, 4, 5, 7}.
What is a set?A set is defined as a group of objects in mathematics. Set names and symbols begin with a capital letter. According to set theory, a set's constituent parts can be included in anything.
The sets are given in the question, as follows:
X = {a,b,c,3,4,5}
Y = {b,d,f,3,5,7}
We have to determine the members of the set XUY, using set braces.
As per the question, the required solution would be as:
XUY = {a, b, c, d, f, 3, 4, 5, 7}
XUY represents the union of sets X and Y, which contains all elements that are in set X or set Y, or in both. Since none of the elements in set X or set Y are repeated, all of the elements in set X and set Y are included in the union without duplication.
Learn more about set theory here:
brainly.com/question/23454979
#SPJ2
Hannah decided to curl up and read a good book. She started reading at 10:00 a.m. and
finished reading at 11:43 a.m. How much time did she spend reading?
Answer:
she spend one hour and 43 minutes reading
Step-by-step explanation:
hope you have a great day kee learning
The mean age of all 618 used cars for sale in a newspaper one Saturday last month was 7.7 years, with a standard deviation of 7.3 years. The distribution of ages is right-skewed. For a study to determine the reliability of classified ads, a reporter randomly selects 30 of these used cars and plans to visit each owner to inspect the cars. He finds that the mean age of the 30 cars he samples is 8.3 years and the standard deviation of those 30 cars is 5.7 years.
Required:
From the problem statement, which of the values 7.7, 7.3, 8.3, and 5.7 are parameters and which are statistics?
Answer:
7.7 and 7.3 are the parameters
8.3 and 5.7 are statistics
Step-by-step explanation:
In the given question,
7.7 and 7.3 represents the mean and standard deviation for all of the used cars for sale.
So,
It represents the population mean and standard deviation
So,
7.7 and 7.3 are the parameters .
Now,
8.3 and 5.7 is mean and standard deviation for sample , not for population.
∴ 8.3 and 5.7 are statistics.
Is 0.36279979176191 rational or irrational
6:45 + 85
No links pls
so first you wanna break down the 85 minutes so 1 hour is 60 minues now its 7:45 but we still have 25 minutes left sow now we add the minutes it will be 8:05
8:05 is the answer
Answer:
Step-by-step explanation:
In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your answer in its simplest form.
b. Express the ratio 20cm to 15m in the form 1: n
c. Express the ratio 60 cm to 20 m in the form 1 : n
Answer:
Yes, because Gabriel is the swimming. He was in 2nd or maybe 10th.
Answer:
Step-by-step explanation:
Please help me with this math question lol
Answer:
120 students are predicted to like chocolate chip ice cream best.
Step-by-step explanation:
40% = 0.4
Multiply 300 by 0.4 to get 40% of 300.
300 × 0.4 = 120
A farmer watered 3/8 of a field. What percentage is equivalent to the fraction of the field the farmer watered?
Answer: 37.5%
Step-by-step explanation:
To find 3/8, divide 100 by 8 (12.5), then multiply that by 3 to figure out 3/8.
Get this answer correct u get a brainleist
That is the volume of a basketball
if u look it up u dont get it
Answer:
Imma guess around 350 cubic inches
Step-by-step explanation:
I'm just going off of my hand compared to my basketball
Answer:
About 433.526 inches^3
Step-by-step explanation:
Goal: Calculate the volume of a Basketball as accurately as possible. Objective 1: Calculate the volume of a basketball.
Step One: Find the radius of the basket ball inflated at 8 PSI. To do this we used a string to measure the circumference of the basket ball arriving at a measurement of 29 inches. Next we inserted that number into the formula C = 2πR where C= circumference and R= Radius. We found that where C= 29inches, R= 4.615 inches.
Solve with Volume of a ball or sphere = 4/3*pi*radius