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
Which of the pairs (2, 3), (1, 2.5), (6, 1), or (−2, 2) is the solution to the equation 4y−x= 10?
Answer:
(2,3)
Step-by-step explanation:
4(3)-(2)=10
12-2=10
The answer is (2,3)
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
angle klj and angle poq :)
Step-by-step explanation:
5m²+15m=0
t²-5t+6=0
5p²+12p+4=0
2a²+10a-48=0
x(2x+5)=0
Answer:
m=1, m= -3
t=3, t=2
p= -0.4, p= -2
a= 3, a= -8
x=0, x= -2.5
Answer:
I hope this helps a little bit.
It Is Not Fake
It Got Answers Promise
Which is a coefficient matrix for the system of linear equations?
Answer:
D. 1Step-by-step explanation:
[tex]-2\left[\begin{array}{cc}x&-1\\3&5\end{array}\right]+\left[\begin{array}{cc}3&8\\-1&6\end{array}\right] = \left[\begin{array}{cc}x&10\\-7&-4\end{array}\right][/tex] ⇒[tex]\left[\begin{array}{cc}-2x&2\\-6&-10\end{array}\right]+\left[\begin{array}{cc}3&8\\-1&6\end{array}\right] = \left[\begin{array}{cc}x&10\\-7&-4\end{array}\right][/tex] ⇒ [tex]\left[\begin{array}{cc}-2x+3&2+8\\-6-1&-10+6\end{array}\right] = \left[\begin{array}{cc}x&10\\-7&-4\end{array}\right][/tex] ⇒[tex]\left[\begin{array}{cc}-2x+3&10\\-7&-4\end{array}\right] = \left[\begin{array}{cc}x&10\\-7&-4\end{array}\right][/tex] ⇒-2x + 3 = x3x = 3x = 1Correct choice is D
Answer:
d
Step-by-step explanation:
Which is the correct answer?
A dragonfly can travel 72 miles in 2 hours at a constant rate. How fast can it fly?
A. 18 mph
B. 36 mph
C. 48 mph
D. 73 mph
please help answer
For every 2 hours, approximately $1,302 worth of product is sold to consumers. How much money will the company make from selling this product for an entire month (30 days)? what's the answer
Answer:
391,248 dollars
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<QPM and <QPR
Step-by-step explanation:
adjacent angles have a common vertex and side, and those are the only two that have a common side
hope this helps :)
if it does, can I get brainliest, please??!
Draw a line tangent to the circle at the point (0, 4). Write an equation for this tangent line. Explain your work.PLEASE HELP
Answer:
y = 1/4x + 4
Step-by-step explanation:
Consider the function f(x) = 2 + 2x - 15. What are the x-intercepts of the function?
Answer:
x=6.5
Step-by-step explanation:
I got the x- intercept as 6.5 because I found the x value when y equals 0.
0=2+2x-15
Next, I added 2+-15 and got -13.
0=2x-13
Then, I added 13 to both sides so that I could have x by itself.
13=2x
Next, I divided 2 on both sides so I could find the value of x.
6.5= x
In conclusion, the x- intercept of f(x)=2+2x-15 is 6.5.
determine length of RT
Answer:
20
Step-by-step explanation:
Alicia, Jamar, and Tia collect dimes for charity. Alicia collects (3k+4) dimes. Jamar collects twice as many dimes as Alicia. Tia collects 4(5+6k) dimes. How many dimes do they collect altogether in terms of k?
Answer:
33k+32
Step-by-step explanation:
Assign Variables :
Alicia- A
Jamar- J
Tia- T
Write equations :
A = (3k+4)
J= 2(3k+4)
T=4(5+6k)
Simplify equations:
A= 3k+4
J= 6k+8
T= 20+24k
Add:
(3k+4)+(6k+8)+(20+24k)
3k+6k+24k+8+20+4
33k+32
I hope this helps :)
Find the measure of the line segment indicated, assume that lines which appear tangent are tangent. (2 questions) PLS help with these problems ! Pls don't just do it for points
Answer:
1
Step-by-step explanation:
A shirt is on sale for 35% off the original price. If the original price is $39.00 what is the sale price?
Answer:
$25.35
Step-by-step explanation:
You just take off the percentage from the original price to get your final answer.
Hope this helps c:
Esteban wants to take out a $5,000 loan from the bank and is offered two choices. If he pays the loan back within 3 years, he will make monthly payments of $148.07. If he pays the loan back within 5 years, he will make monthly payments of $92.53. How much more will he pay in interest ifhe chooses the 5-year loan???
Answer:
ESTEBAN IS FOKING BROKE
Step-by-step explanation:
What is the most likely meaning of the word endangered?
influenced
exposed
assisted
threatened
Answer:
exposed is another word for endangered
Can a right triangle be made from given side lengths 4 in,6 in, 8in
Answer:
no
Step-by-step explanation:
I dont know how to explain but I did the work and it was clearly not a right angle
I need help...WILL GIVE BRAINLIEST !!!!!
Answer:
Step-by-step explanation:
48 is preimeter
96 is the area
Make me brainliest
Find the median of the data set. 1470, 1590, 1420, 1215, 1405, 1370, 1465, 1460, 1230
Answer:
the median is the middle number find the middle number of these and there's your answer
Answer:
1420 is the Median
Step-by-step explanation:
a bag contains 6 red marbles 2 blue marbles and 1 green marble. find p(not blue)
Answer:
9?
Step-by-step explanation:
Sorry I don't know I think its 9 though
Can someone please find the slope, no link answers pls
Answer:
-3/1
Step-by-step explanation:
The rise is 1 and the the run is 3 but the line goes from top left to top right so its negative.
...
6
2.
Find the value of x in the parallelogram below.
33
16
Answer:
sorry where is the parallelogram
Answer:
your question is imcomplete
Step-by-step explanation:
Which of the following best describes the graph of the logarithmic function
given below?
Answer:
A) Decreasing
Step-by-step explanation:
By graphing the logarithmic equation, we can see that as the x value increases, the y value decreases. Therefore, we say that the graph is decreasing.
Answer:
decreasing
Step-by-step explanation:
someone help me answer this!!
Answer:
27
Step-by-step explanation:
45 x 45 - 36 x 36 = 729 the square root of 729 is 27
Answer:
a = 27 m is the answer.
Step-by-step explanation:
a = ?
b = 36 m
c = 45 m
According to the Pythagoras theorem,
a² + b² = c²
a² + 36² = 45²
a² + 1296 = 2025
a² = 2025 - 1296
a² = 729
a = 27 m
∴ a = 27 m is the length of the missing leg.
If f(x)=(x-3)^2+1 what is f(6)
Pls help
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
please someone help me with this ASAP especially with the workout!!
A=53sq.in find the value of x. Round to the nearest tenth
Answer:
shawty i think we need more info to solve this-
Step-by-step explanation:
Find two ratios equivalent to each ratio 3:11
Answer:
Multiplying each side by 5⇒ 15: 55
Multiplying each side by 10⇒30:110
Step-by-step explanation:
Answer: 3:11= 30:110 and 6:22
Step-by-step explanation:
30:110 is multipled by 10 and 6:22 is multiplied by 2!
It can be divided or multiplied by whatever number you want! If you want to divide it by one number, make sure that it will be without the remainder because it’s equivalent! I hope I helped you!
PQRS is a quadrilateral.
PST is a straight line.
Find the value of y
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since pqrs is a quadrilateral
Total interior angle = 360 (keep in mind)
>PSR = 360-(65+130+95)
>PSR= 360-290= 70
* PST is a straight line :- >PSR + Y = 180 (sum of angle on a straight line)
:. Y= 180-70= 110.