The safety officers of a mining company take an SRS of 500500500 employees and finds that 15\, percent of the sampled employees wear contact lenses. The safety officers may take several more samples like this. Suppose it is really 12\, percent of the approximately 34{,}00034,00034, comma, 000 employees in the company who wear contact lenses. What are the mean and standard deviation of the sampling distribution of the proportion of employees who wear contact lenses
Answer:
The mean of the sampling distribution of the proportion of employees who wear contact lenses is 0.12 and the standard deviation is 0.0145.
Step-by-step explanation:
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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
12% of the employees wear contact lenses.
This means that [tex]p = 0.12[/tex]
Samples of 500:
This means that [tex]n = 500[/tex]
What are the mean and standard deviation of the sampling distribution of the proportion of employees who wear contact lenses?
Mean:
[tex]\mu = p = 0.12[/tex]
Standard deviation:
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.12*0.88}{500}} = 0.0145[/tex]
The mean of the sampling distribution of the proportion of employees who wear contact lenses is 0.12 and the standard deviation is 0.0145.
Answer 1 and 2 please.
Answer:
Give me the questions and I'll edit my answer
Step-by-step explanation:
Answer:
what the question then I'll edit answer ;-;
Step-by-step explanation:
A farmer sells 8.9 kilograms of apples and pears at the farmer's market. 3/5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
7.4: How do You Know?
Explain how you know these two figures are similar.
WILL GIVE BRAINLIST
Answer:
The one on the right is 25 percent smaller then the one on the left. They have he same angle measures. The line lengths are just different.
Step-by-step explanation:
Hope this helps.
8x+5x^3-5 write polynomial in standard form, Then name the polynomial based on the degree and number of terms
Answer:
wag na baka imyday mo pa
Step-by-step explanation:
hahahahahahahahahahahahahahahahahaahhaahahahahahhahahahahahahahahahahahahahahahahahahahahahahahahhahahahah ahahahahahahaha ahahahahahahaha ahahahahahahaha hahahahahah ahahahahahahaha
Which of the following is a characteristic of all parallelograms?
Answer:
The opposite sides are always parallel.
7. If it takes 2 gardeners 6 hours to landscape a garden, how long would
it take 3 gardeners?
Enter your answer
Question 7 is an example of...
Direct proportion
Inverse proportion
Answer:
it will take 12 hours
Step-by-step expl
find the sequence, i need help please
Then solve this what I get?
A -1
B 2
C 1
D -2
Answer:
-1
Step-by-step explanation:
Two parallel lines are cut by a transversal as shown below.
Suppose m 2 8 = 132º. Find m Z1 and m 2 3.
2.
4
3
5
6
8
8
7
Answer:
∠1 = ∠3 = 48
Step-by-step explanation:
∠8 = 132
∠4 = ∠8 {Corresponding angles}
∠4 = 132
∠1 +∠4 = 180 {Linear pair}
∠1 + 132 = 180
∠1 = 180 - 132
∠1 = 48
∠3 = ∠1 {Vertically opposite angles}
∠3 = 48
Help me pls! this is due tonite . I'm doing a ged practice test and I just have a few questions I haven't answered
When 36x⁴ + 12x⁸ is divided by 12x⁴ the result is:
A) 3+12x8
B)3+x⁴
C)3x+x²
Answer:
Step-by-step explanation:
36x⁴ /12x⁴ + 12x⁸ / 12x⁴
3x+x²
I am in need of help please.
Answer:
80 ft
Step-by-step explanation:
i dont really know if this is the right answer plz tell me if im wrong
WILL MARK BRAINLEST PLS HELP ME Find the area of the circle. Round to the nearest tenth. Use 3.14 for it.
32 m
The area of the circle is about
m2.
Answer:
[tex]804.3m^2[/tex]
[tex]\pi *16^2=804.24772[/tex]
Mary has two sisters. Her younger sister is 5 years younger Her older
sister is twice her age. Their ages add up to 47. How dd is Mary and each
of her sisters?
Distribute. 8(x+30)+5
Answer:
8x + 245
Step-by-step explanation:
8(x + 30) + 5
8x + 240 +5
8x + 245
good luck, i hope this helps :)
how to write 1/4z-1/3-1/7z^2 in az^2+bz
Answer:
huh?nani?
ksjn
lsjsmskkks
Jollys scores for the first 3 quarters of the school year were 82, 94, and 88. ahe wants to get an average of 90 for this year. What must her 4th quarter score be?
Answer:
96
Step-by-step explanation:
You add the scores, add 96, divide by 4 and you get 90.
In the figure below ∠APE and ∠EPD are congruent.
What is the arc measure of minor arc AC on circle P in degrees
Answer:
minor arc AC = 150 degrees
Step-by-step explanation:
minor arc AC = 360-136-74 = 150 degrees
Answer: 150
Step-by-step explanation: Khan Academy
Which expression is equivalent to (xy^-6)^2 for all values of x and y where the expression is defined?
A. xy^-36
B. xy^ 36
C. x^2y^ -12
D. x^2y^ 12
Answer:
C.
First, you square the x because it is inside the parentheses. Then, you multiply the -6 by 2, to get your exponent of -12 for the y.
Answer:
[tex] \huge \boxed{ \boxed{ \mathbb{C)} {x}^{2} {y}^{ - 12} }}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:law of exponentPEMDAStips and formulas:[tex] \sf( {x}^{m} {)}^{n} < = > {x}^{mn} [/tex][tex] \sf x < = > {x}^{1} [/tex]let's solve:[tex] step - 1 : define[/tex]
[tex] {(xy}^{ - 6} ) ^{2} [/tex]
[tex] \sf \: use \: 1st \: and \: 2nd \: formula : \\ ( {x}^{1 \times 2} {y}^{ - 6 \times 2} )[/tex][tex] \sf simplify : \\ {x}^{2} {y}^{ - 12} [/tex]You have found the following ages (in years) of 4 tigers. The tigers are randomly selected from the 31 tigers
at your local zoo:
22, 13, 18, 16
Based on your sample, what is the average age of the tigers? What is the estimated variance of the ages?
You may round your answers to the nearest tenth.
Average age:
years old
Variance:
years
The average number is 17.25. The variance is 14.24.
What are the mean and variance?Variance is the anticipated squared variation of a random variable from its population mean or sample mean in probability theory and statistics. Variance is a measure of dispersion, or how far apart from the mean a group of data is from one another.
Given that the tigers are randomly selected from the 31 tigers at your local zoo:
22, 13, 18, 16
Mean = ( 22 + 13 + 18 + 16 ) / 4
Mean = 17.25
Variance = ∑(x - xm ) / n - 1
Variance = [( 22 - 17.25)² + ( 13 - 17.25 )² + ( 18 - 17.25 )² + ( 16 - 17.25 )²] / 4 - 1
Variance = ( 18.06 + 0.5625 + 1.5625 +22.56) / 3
Variance = 14.24
Therefore, the average number is 17.25. The variance is 14.24.
To know more about mean and variance follow
https://brainly.com/question/25639778
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-4x-2y=-12
4x+8y=-24
solve it by elimation
Answer:
(x, y) = (6, -6)
Step-by-step explanation:
In ΔRST, the measure of ∠T=90°, the measure of ∠S=16°, and ST = 2.9 feet. Find the length of TR to the nearest tenth of a foot.
Answer:
0.8
Step-by-step explanation:
Which of the following properties is always true for a parallelogram?
A. Diagonals bisect each other
B. Diagonals are perpendicular
C. Diagonals are congruent
D. Diagonals bisect opposite angles
Answer:
c. is always true
Step-by-step explanation:
In one of ADNOC's onshore stations in the United Arab Emirates, oil is extracted and stored in large cylindrical tanks. If one of the tanks is 30
meters deep and 20 meters in diameter, find the Volume of the tank, use 3.14 for
(show your work)
Answer: 9420meters³
Step-by-step explanation:
The formula to calculate the volume of the cylindrical tank will be:
= πr²h.
where,
π = 3.14
r = radius = diameter/2 = 20/2 = 10
h = height = 30
Volume = πr²h
= 3.14 × 10² × 30
= 3.14 × 100 × 30
= 9420meters³
Write this number in scientific notation 56,023,987
n x 5 = I'm very Smart *wink wink* I could just search it up I'm not gonna though okay
Answer:
5n
Step-by-step explanation:
What transformation takes the graph of g(x) = x2 – 5 to the graph of
h (x) = x² – 1
Answer:
We need the following translation: [tex]h(x) = g(x) +4[/tex]
Step-by-step explanation:
To transform [tex]g(x)[/tex] into [tex]h(x)[/tex], we need must apply the following translation:
[tex]h(x) = g(x) +4[/tex] (1)
If we know that [tex]g(x) = x^{2} -5[/tex], then the expression of [tex]h(x)[/tex] is:
[tex]h(x) = x^{2}-5 +4[/tex]
[tex]h(x) = x^{2}-1[/tex] (2)
Which demonstrates the affirmation.
If the complex number x = 3 + bi and |x|2 = 13, which is a possible value of b?
2
4
9
10
Answer:
A: 2
Step-by-step explanation:
EDGE 2021
Considering that the magnitude of the complex number x is of 13, a possible value of b is of 2.
What is a complex number?A complex number is modeled by:
z = a + bi.
In which:
a is the real part.b is the imaginary part.In this problem, the number is:
x = 3 + bi.
It's magnitude is given by:
[tex]|x| = \sqrt{3^2 + b^2}[/tex]
Then:
[tex]\sqrt{3^2 + b^2} = \sqrt{13}[/tex]
[tex]3^2 + b^2 = 13[/tex]
[tex]b = \pm \sqrt{4}[/tex]
[tex]b = \pm 2[/tex]
A possible value of b is of 2.
More can be learned about complex numbers at https://brainly.com/question/25572463
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Please help me please!
Answer:
D) cannot factor
Step-by-step explanation:
D) cannot factor
D: cannot factor
it’s not factorable
On Monday Mrs. Wise bought 3 lbs of apples at $4 per lb. On Tuesday, apples were on sale for 20% off so she bought another 5 lbs. What was the price of apples on Monday?
Answer:
$12 on Monday
$16 on Tuesday
$28 in total
Step-by-step explanation:
Multiply the number of pounds by the cost per pound on Monday:
3 * 4 = $12 on Monday
If you want to find the price on Tuesday as well (I know it doesn't ask for it) you can calculate 20% of 4 by multiplying:
4 * 0.2 = 0.80
Next, subtract the 20% from the normal price:
4 = 0.80 = 3.20
Finally, multiply the discounted price by the number of pounds she bought:
3.20 * 5 = $16 on Tuesday
You can find the total of both Monday and Tuesday by adding the two together:
12 + 16 = $28.00 in total
