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.
Identify the percent of change as an increase or a decrease. 4/5 to 3/5 Increase Decrease Find the percent of change. Round to the nearest tenth of a percent if necessary.
The required percent of change from 4/5 to 3/5 is a decrease of 25%.
What is the percentage?The percentage is the ratio of the composition of value to the overall composition of value multiplied by 100.
Here,
The fraction 4/5 is greater than the fraction 3/5, so the change from 4/5 to 3/5 represents a decrease.
To find the percent of change, we first need to find the amount of change. We can do this by subtracting the original value (4/5) from the new value (3/5),
3/5 - 4/5 = -1/5
The amount of change is -1/5. To express this as a percent, we can use the formula.,
Percent change = (amount of change / original value) * 100%
Substituting the values we have,
Percent change = (-1/5 / 4/5) * 100%
Percent change = -0.25 * 100%
Percent change = -25%
Therefore, the percent of change from 4/5 to 3/5 is a decrease of 25%.
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what is 9(u-3) to remove parentheses.
Answer:
Distribute the 9 among the values inside the parentheses.
So it would be: 9u - 27
Find the amount that results from the given investment.
$100 invested at 11% compounded quarterly after a period of 3 years
Answer:
$138.27.
Step-by-step explanation:
Given that it is required to obtain the amount of money that arises from $ 100 invested at 11% compounded quarterly after a period of 3 years, to determine said amount the following calculation must be performed:
X = 100 x (1 + 0.11 / 3) ^ 3x3
X = 100 x (1 + 0.03666) ^ 9
X = 100 x 1.03666 ^ 9
X = 100 x 1.3827
X = 138.27
Thus, the amount that will arise from said investment is $ 138.27.
In a survey of 155 senior executives, 51% said that the most common job interview mistake is to have little or no knowledge of the company. Test the claim that in the population of all seniorexecutives, 45% say that the most common job interview mistake is to have little or no knowledge of the company. Identify the nullhypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.
A) Identify the null and alternative hypothesis
B) Determine the test statistic
C) Determine the p-value
Answer:
B
Step-by-step explanation:
Solve for x in 3(5x) = 246. Round to four decimal places
Answer:
x = 16.4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
3(5x) = 246
Step 2: Solve for x
Multiply: 15x = 246[Division Property of Equality] Divide 15 on both sides: x = 82/5Convert [Divide]: x = 16.4Answer:
16.4
Step-by-step explanation:
3(5x)=246
15x=246
divide by 15
16.4
A school bus can hold up to 60 gallons of fuel. Which inequality shows this, using g for the amount of fuel the bus can hold?
Answer:
the answer is .............a
Step-by-step explanation:
Explain how to determine whether two quantities are proportional.
please help :)
Answer:
* Ratios are proportional if they represent the same relationship.
*If the reduced fractions are the same, your ratios are proportional.
*If two ratios are proportional is to write them as fractions and then reduce them.
Hope its helpful
Thank you
Can you guys find the slope and y-intercept
Answer:
Step-by-step explanation:
Plot any tow points on the line and find the slope
(-1 , 3) ; ( -2 , 1)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{1-3}{-2-[-1]}\\\\= \frac{-2}{-2+1}\\\\=\frac{-2}{-1}\\\\=2[/tex]
m = 2 ; (-1 , 3)
y - y1 = m(x - x1)
y - 3 = 2*(x - [-1])
y - 3 = 2*(x + 1)
y -3 = 2*x + 2*1
y -3 = 2x + 2
y = 2x + 2 + 3
y = 2x + 5
Slope = 2
y-intercept = 5
Mary’s annual salary is $38,500 plus 22% in employee benefits. Her yearly job expenses are: uniforms, $500; transportation and parking, $5,350; and tools and certifications, $1,200. What are her net job benefits?
Answer: $39,920
Step-by-step explanation:
Her net job benefits would be the benefits and salary she receives less the expenses she incurs in relation to the job:
= Salary + Benefits - Uniforms - Transport - Tools
= 38,500 + (22% * 38,500) - 500 - 5,350 - 1,200
= 46,970 - 7,050
= $39,920
Evalúa Ecuaciones
3x+x/2. =10
Answer:
english?
Step-by-step explanation:
Answer:
you will *2 for both sides
Step-by-step explanation:
Tomaz realized that the tip of a second hand onna clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed
Answer:
юЙлвлалвоовлвулшуулвлаотааьдклаосьа
Answer: 90 degrees clockwise
Step-by-step explanation:
Too late, but this can be helpful to others. :D
Because a clock only moves clockwise, you can cut out the counterclockwise choices. That will help you find the answer easier.
Cindy has a 4-shelf bookcase in which she wants to place baskets. Each basket takes up 1/4 of the shelf. How many baskets can Cindy place on the 4 shelves?
Answer:
16
Step-by-step explanation:
One basket takes (1/4)th of the shelf.
So, in one shell, Cindy can place 4 baskets
Total number of baskets = 4 *4 = 16
Please explain in words how you would graph each equation using the slope and the y-intercept.
Y= -3x+3/4
Answer:
First I would graph the 3/4 y intercept and then go down 3 and 1 to the right
Step-by-step explanation:
Escribe V si la afirmación es verdadera y F si es falsa, de ser falsa justifica la elección.
A) Todos los números son racionales ( )
B)Todos los números naturales son racionales ( )
C) Ningún numero natural es racional ( )
D)Todos los números racionales son naturales ( )
E)Todos los números enteros son racionales ( )
F)Todos los números racionales son enteros ( )
G) Ningún numero entero es racional ( )
H)Todos los números decimales son racionales ( )
Answer:
Step-by-step explanation:
Todo numero natural es entero?
You can afford a $1150 per month mortgage payment. You've found a 30 year loan at 8: interest compounded monthly. a) How big of a loan can you afford?
Answer:
PV= Max Loan amount = PMT*B(i,T) and PMT = 1200. Calculate B(i,T) = B(6%/12, 360)
=(12/.06)(1-(1/(1.005))360) I will let you complete the calculation
Step-by-step explanation:
what’s four times a number (algebra wise)
Answer:
4x
Step-by-step explanation:
For expressions a-e, select Yes or No to indicate whether each expression is equivalent
to 3(x + 2)
a. 3x + 2
Yes
No
b. 312 + x)
Yes
No
Yes
c. 3x + 2x
No
d. x + 2x + 2 + 4
Yes
No
Yes
No
e. x + x + x + 1 + 1 + 1 + 1 + 1 + 1
Answer:
a. 3x +2
Step-by-step explanation:
I hope DIS is help you
Answer:
Answer 1:
no
Answer 2:
yes
Answer 3:
no
Answer 4:
yes
Answer 5:
yes
Step-by-step explanation:
Help please!!!!! ill give brainliest
Answer:
the answer is.B hope it helps :)
Natalie wrote that 773.15-200.4=3,531. What mistake did she make?
Answer:
Well her mistake is she didn't subtract correctly
Step-by-step explanation:
Her answer is supoose to be 572.75
Answer:
She lined the decimals wrong (common mistake)
Step-by-step explanation:
The correct answer is 572.75
Simplify: (2x + 8)(7x2 - 9x - 5)
Answer:
-18x^2 -54x + 72
Step-by-step explanation:
What is the period of the function f(x) shown in the graph?
Answer:
8pi
Step-by-step explanation:
The Period of the Function is 8π.
What is period of the function?The period of the function is the interval between repetitions of any function. A trigonometric function's period is the length of one whole cycle.
The interval of x-values that corresponds to the size of one cycle is the function's period.
Added significance The distance between two comparable locations, such as the distance between two peaks of the function, is known as the function's period.
As shown on the graph, the function has peak value and repeated every
(2π - (-6π))
= 2π + 6π
= 8π
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value digit of 468, 204, 459 , 964, 468
Answer:
964 = 4
204 = 4
459 = 400
468 = 400
Quick help!!! Also pls show work!
Answer:
10a. No
10b. No
10c. Yes
10d. Yes
Step-by-step explanation:
10a. This equation does not because 3/4 x 8 = 6 and not 9.
10b. This equation doesn’t because 3x8 does not equal 28.
10c. This equation does because 5 x 8 = 40 which means y = 8.
10d. This equation does because 8/2 = 4. Fractions are just division problems and 8 divided by 2 equals 4, meaning y = 8 was n this equation.
10 POINTS (ignore the bottom and top questions pls lol)
Please help ASAP. Thanks so much
Answer:
The answer is 0.
Step-by-step explanation:
You are right because the -4 and 4 would be an x - intercept but it's not there on the answer choice. So, go with A. 0 Another explainationor this is (0,9) is the vertex, and the x intercept lies on 0.
The number of two digits which is such that, the
sum of the digits is 12 and the digit in the unit
place is three times the digit in tens place is:
a. 39
b. 40
c. 41
d. 42
Answer:
39
Step-by-step explanation:
one number = x
another = 3x
x+3x = 12
4x = 12
x = 12/4 = 3
units place = 3x = 9
tens place= x = 3
number = 39
PLEASE SOMEONE HELP ME PLZZZ ASAP
Answer: C. -11x^4+x^3+7x^2
Step-by-step explanation:
Combine like terms like -7x^4 and -4x^4, 5x^2+2x^2= 7x^2
Adam bought a baseball bat and a baseball. He paid $ 1.10 for two of them. The baseball bat cost $ 1 more than a ball. What are the prices of these items?
Answer:
0.05
Step-by-step explanation:
Lets consider that cost of bat is 'x' and cost of baseball is 'y'.
Therefore, according to the question
x + y = $1.10
And the cost of bat is one dollar more than that of baseball, therefore -
x - y = $1.00
Now let us add these two equations, which will cancel out 'y' i.e, cost of baseball
=> 2x = $2.10
=> x = $1.05
Thus the cost of bat is $1.05
Now substitute this value of x in any equation...lets consider in first equation
=> 1.05 + y= 1.10
=> y = $0.05
Therefore the cost of baseball is $0.05.
I hope this helps! (If it does, may I please get brainliest?)
858 is divisible by 2,3,5 or 10?
Answer:
2
Step-by-step explanation:
If it ends in an even number, it is divisible by an even number
Hope this helps!!
Answer:
Step-by-step explanation:
858/2 = 429 - divisible
858/3 = 286 - divisible
858/5 = 171.6 - not divisible
858/10 = 85.8 - not divisible
the west valley senior held a fundraiser in which they sold tshirts and hoodies. There were 85 more hoodies sold than tshirts. Each t-shirt sold for 14.50 and each hoodie sold for 19.75. The team raised a total of 6,028.50 for the sale. Write and solve a system of equations to determine the number of tshirts and hoodies sold.