Answer:
The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.
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}}[/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}{\frac{7320}{\sqrt{125}}}[/tex]
[tex]Z = -1.11[/tex]
[tex]Z = -1.11[/tex] has a pvalue of 0.1335
1 - 0.1335 = 0.8665
The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.
Kody wants to test to be sure his soap dispenser design works fairly for people with different skin colors. He
selects separate random samples of 25 workers with light skin and 25 with dark skin. For each worker, he
measures the maximum distance from the dispenser at which it detects the employee's hand. Then he looks at
the difference in the sample means ( Light - TDark).
What do we know about the shape of the sampling distribution of Light - TDark, and why?
Answer: The shape cannot be determined since we don’t know the shape of either population distribution.
Step-by-step explanation:
The fraction 1/2 and 3/6 are equal. True or False
Answer:
true
Step-by-step explanation:
3 is half of 6
1 is half of 2
Answer:
True
Step-by-step explanation:
4. Jeanne has $17.50 in her piggy bank. How much money, m, does she need to buy a game that costs $68.75?
5. A number increased by 18 is 50.
6. A number when multiplied by 3 is -21
7. A number divided by -8 is 6
8. Ellen is x years old right now. In thirteen years she will be 24 years old. How old is she now?
9. Each piece of candy costs 0.25 cents. Sam bought a handful of candy and it costs a total of $2.00. How many pieces did he buy?
10. Suzanne made a withdrawal from her savings account. Her old balance was $350.72, and her new balance is $280.20. How much did she withdraw?
11. A large pizza has s, amount of slices that are split among 5 kids. The amount of slices each kid gets is 3. How many slices were there total?
Answer:
5)32
6)-7
7)-48
8)11
9)800
10)70.52
11)15
Step-by-step explanation:
Plz Help! I'll put you Brainliest
Answer:
Step-by-step explanation:
Write the sum using summation notation, assuming the suggested pattern continues. 4 - 12 + 36 - 108 + ...
9514 1404 393
Answer:
[tex]\displaystyle S_n=\sum_{k=1}^n{4(-3)^{k-1}}[/tex]
Step-by-step explanation:
The first term of this geometric series is 4. The common ratio is -12/4 = -3, so the general term is ...
an = 4·(-3)^(n-1)
The sum is the sum of terms of this form.
[tex]\displaystyle S_n=\sum_{k=1}^n{4(-3)^{k-1}}[/tex]
What is the best estimate of the value of ln 16?
Answer:
6
Step-by-step explanation:
I think
(NO LINKS.)If two angles of an isosceles triangle are each 19.1°,
what is the measure of the 3rd angle? *** Remember
triangle angle sum.
Just help!!!! Please!!!!
Answer:
141.8
Step-by-step explanation:
the angles of a triangle add up to 180
180-19.1-19.1= 3rd angle
141.8
What is the median of this data set:
4, 2 ,5 ,7, 2 ,8, 5 ,6 ,6
Step-by-step explanation:
2 is the answer because it's in the middle
someone please help me answer this!!
Answer:
6 units
Step-by-step explanation:
they are six units apart just count the amount of units they are from each other or since they are in the same quadrant and y-axis just subtract the 10 from the 4
Answer:
6 units is the answer.
Step-by-step explanation:
points are (10,-5) and (4,-5)
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(4-10)^2 + (-5-(-5))^2}\\\\d=\sqrt{(-6\\)^2+(0)^2} \\\\d=\sqrt{36} \\\\d=6} \\\\[/tex]
∴ d = 6 units
someone please help me answer this!!!
Answer:
9 units is the answer.
Step-by-step explanation:
points are (-10,-4) and (-10,5)
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(-10-(-10))^2 + (5-(-4))^2}\\\\d=\sqrt{(0)^2+(9)^2} \\\\d=\sqrt{81} \\\\d=9[/tex]
∴ d = 9 units
PLEASE HELP TIMED two functions are combined resulting in the function j(x)= 1.5x^2 + 4x-3 . Which operations apply to the specified functions could result in j(x)? select three options.
Step-by-step explanation:
B two quadratic by addition
C a linear and quadratic by addition
D two linear by multiplication
URGENT PLZ HELP
The pH of a liquid is a measure of how acidic or basic it is. The concentration of hydrogen ions in a liquid is labeled (H+). Use the formula pH = -log[H] to find the pH level, to the nearest tenth, of a liquid with [H] about 8.1 x 10-7,
a = 6.1
b = 7.9
с = -7.9
d = 7.0
Answer:
pH = 6.1
Step-by-step explanation:
pH = -log[H]
pH = -log[8.1 x 10^-7]
pH ≈ 6.09
Therefore, option a, 6.1, is closest to this value and is the correct answer.
greatest comon factor of 80 20
Answer:
The greatest common factor of 80 and 20 is 20
Step-by-step explanation:
Which conclusion can be drawn from the data?
Question 9 options:
For ten weeks, City A received less rainfall, on average, than City B.
The range between the maximum and minimum values for City B is greater than the range between maximum and minimum values for City A.
During the 10 wk period, the rainfall amount recorded most often for City B was 1 in.
The median for City A is less than the median for City B.
Answer:
During the 10 wk period, the rainfall amount recorded most often for City B was 1 in.
Step-by-step explanation:
Given the data :
City A :
Reordered data:
0, 0.2, 0.2, 0.3, 0.4, 1, 1.3, 1.5, 2.5, 3
City B :
Reordered data:
0, 0, 0.1, 0.1, 0.2, 0.3, 0.4, 1, 1, 1
Using a calculator :
Mean Rainfall for City A = 1.04
Mean rainfall for city B = 0.41
Range : maximum - minimum
City A = 3 - 0 = 3
City B = 1 - 0 = 1
Mode (most occurring) :
City A = 0.2
City B = 1
Median :
City A = 0.7
City B = 0.25
The only true conclusion in the options given that can be drawn from the data is that ;During the 10 wk period, the rainfall amount recorded most often for City B was 1 in.
Answer:
the Answer is C.
Step-by-step explanation:
I just took the test
Corresponding Angles are congruent.
Which angle corresponds with <2?
Answer:
angle 4 and angle 8 are congruent
Answer:
[tex]\angle{6}\:corresponds\:\angle{2}[/tex]
I need help with this, please answer right I will give brainelist
Answer:
1 D. 400 spins
2 C.4/20
3 A. 6/20
Step-by-step explanation:
1
The more times you run a probability-based trial, the more likely you are to get close to the theoretical frequency.
2
Since 1 and 2 represent goals, just find the options that have three/four 2's and 1's. These are 5212, 2152, 2512, and 2112. Since there are 4 options out of 20, we can say our probability is 4/20
C
Since 1 and 2 represent goals, we have to find the options where there are no 1's or 2's. These are 6643, 3554, 4533, 6634, 4536, and 5546. Since there are 6 options out of 20, we can say our probability is 6/20
5 + (1/7)b = -2 find what b equals
Answer:
b= -49
Step-by-step explanation:
Well first isolate the number with the variable by performing inverse operations
1/7b= -7
now multiply by 7 on each side to isolate the variable.
b= -49
B is negative 49
Exercise 8.12 introduces data on the average monthly temperature during the month babies rst try to crawl (about 6 months after birth) and the average rst crawling age for babies born in a given month. A scatterplot of these two variables reveals a potential outlying month when the average temperature is about 53F and average crawling age is about 28.5 weeks. Does this point have high leverage
Answer:
The point has a high leverage
Step-by-step explanation:
The point has a high leverage as it would act as an infinitesimal point that will have a very huge/drastic impact on the fit of the model, and this impact can be seen in such ways as listed below :
Smaller coefficient of determinationHigher sum of squares errorremoving this point will eliminate these drastic impact and make the correlation to be better.
From the information given about the outliner, the given point is not influential and therefore does not have high leverage.
What is an outliner?An outlier refers to a data point whose response does not follow the general trend of the rest of the data.
A data point has high leverage if it has an extreme predictor x value. Here, x = 53 and, y = 28.5.
X is not an extreme point, the data point is not high leverage but an outlier. The data point doesn't follow the general trend of the rest of the data.
Hence the given point is not influential.
Learn more about outliner on:
https://brainly.com/question/3631910
Using the following equation, complete the square and find the center and radius of the circle: x^2+ y^2 + 4x - 6y - 12 =0
Please help it’s a timed test
Answer:
Circle with the radius r=5 and the center (-2,3)
Step-by-step explanation:
Answer:
radius: 5 and center: (-2,3)
Step-by-step explanation:
The standard form of the equation after completing the square is
(x+2)^2+(y-3)^2=25
4. June's portfolio of stocks includes 177 shares of Parcher, 213 shares of Giaco
Household Goods, and 152 shares of Raxin Accounting. If Parcher pays yearly
dividend of $8.21 per share. Giaco Household pays $6.97 per share and Raxin
pays $11.44 per shares, how much does June earn in dividends per year?
Hi can someone please help me with this. It urgent and time tysm.
A number line that represents k > 5
Answer:
any number from 6 and above
Solve the inequality: 4x-2<10
Answer:
w < 3
Step-by-step explanation:
One can solve an algebraic inequality just like how one solves an algebraic equation, by using inverse operations. The only major difference is that when one multiplies or divides by a negative number, one must remember to flip the inequality sign, this rule does not come into play in the given inequality.
4x - 2 < 10
+2 +2
4x < 12
/4 /4
w < 3
24 + m = 49 help plz
Answer: m=25
Step-by-step explanation: 49 - 24= 25
I need with help with this question
Answer:
the answer is 3
Step-by-step explanation:
A carpenter worked for 4 days to finish a repair job.
She charged $825 for 15 hours of work.
What is the carpenter’s rate per hour?
A
$55
C
$85
B
$58
D
$182
Math homework help wanted
Answer:
C. [tex] 2\pi[/tex]
Step-by-step explanation:
Central angle [tex]( \theta) = \frac{\pi}{2} = 90\degree [/tex]
Radius (r) = 4
[tex]l(\widehat{EF}) = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ = \frac{90 \degree}{360 \degree} \times 2\pi(4) \\ \\ = \frac{1}{4} \times 2\pi(4) \\ \\ l(\widehat{EF}) = 2\pi[/tex]
An equation is modeled below.
ООО
ОООО
ООООО
1
Key:
Which value of x would make the equation true?
O х = 6
OX 3
Oxe 1
Ox= 9
Answer:
x=6
Step-by-step explanation:
get your cup alone by removing the 3 balls. When I take one ball away from one side I have to take it form the other as well. so subtract 3 balls from both sides
x=6
?????????????????????
Answer:
5x^2 + 7x
option C is your answer
23. If 25% of a number is 75. find the number.
A. 700 B. 600 C. 500 D, 400 E. 300
Answer:
23.E
Step-by-step explanation:
please click the heart and rate excellent and brainleist to ☻❤☺️☺️❤☻
Answer:
[tex]300 \\ \\ answer \: \: E\: \: is \: \: correct[/tex]
Step-by-step explanation:
Let the unknown number be x
[tex]x \times \frac{25}{100} = 75 \\ x = \frac{75 \times 100}{25} \\ x = 300[/tex]
Hope this helps you
Can I have the brainliest please?