0. the population mean annual salary for acme corporation is $63,500. what is the probability that the mean salary of a person selected at random will have a salary that is less than $61,000? assume ????
Answers
To find the probability that the mean salary of a person selected at random from Acme Corporation is less than 61,000, we can use the Z-score formula.
First, we need to calculate the Z-score, which measures the number of standard deviations a value is away from the mean. The formula for the Z-score is:
Z = (X - μ) / (σ / √n)
Where:
- X is the value we are interested in (in this case, $61,000)
- μ is the population mean annual salary for Acme Corporation ($63,500)
- σ is the population standard deviation (unknown in this case)
- n is the sample size (unknown in this case)
Since we don't have the population standard deviation or sample size, we cannot calculate the exact Z-score. Therefore, we cannot find the exact probability.
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Based on the assumption of a sample standard deviation of $5,000, the probability that the mean salary of a person selected at random will be less than $61,000 is approximately 30.85%.
The probability of a person selected at random having a salary less than $61,000 can be determined using the z-score and the standard normal distribution.
To calculate the z-score, we need to know the population standard deviation. Since it is not provided, we cannot calculate the exact probability. However, we can use the assumption that the population standard deviation is the same as the sample standard deviation.
Let's assume the sample standard deviation is $5,000.
First, we calculate the z-score:
\(z = (x - \mu) / (\sigma / \sqrt n)\)
=> z = (61000 - 63500) / (5000 / √1)
=> z = -2500 / 5000
=> z = -0.5
Next, we find the corresponding area under the standard normal curve using a z-table or a calculator. The area to the left of -0.5 is approximately 0.3085.
Therefore, the probability that a person selected at random will have a salary less than $61,000 is approximately 0.3085 or 30.85%.
In conclusion, based on the assumption of a sample standard deviation of $5,000, the probability that the mean salary of a person selected at random will be less than $61,000 is approximately 30.85%.
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Related Questions
help if you can asap pls!!!!!
Answers
The relationship between DE and AC, considering the triangle midsegment theorem, is given as follows:
DE is half of AC.DE and AC are parallel.What is the triangle midsegment theorem?The triangle midsegment theorem states that the midsegment of the triangle divided the length of the midsegment of the triangle is half the length of the base of the triangle, and that the midsegment and the base are parallel.
The parameters for this problem are given as follows:
Midsegment of DE.Base of AC.Hence the correct statements are given as follows:
DE is half of AC.DE and AC are parallel.More can be learned about the triangle midsegment theorem at brainly.com/question/7423948
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Consider the function f (x) = -2/3x +5.
What is f (5/2)?
Enter your answer, as a simplified fraction, in the box.
f (5/2)
Answers
Answer: 2.5
Step-by-step explanation:
3 On a coordinate grid, the location of a lighthouse is at L, and the location of a buoy is at B. At noon, a ship is at the midpoint of the segment connecting the buoy and the lighthouse on the grid. Find the coordinates that best represent the ship's position at noon?
Answers
Answer:
\( (\frac{1}{2}, 2) \)
Step-by-step explanation:
Using the midpoint formula, \( M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) \), we can find the coordinates that represents the position of the ship at noon.
Let \( L(-4, 7) = (x_1, y_1) \) (given on the coordinate plane)
\( B(5, -3) = (x_2, y_2) \) (given also)
Plug in the values into the formula and solve as follows:
\( M(\frac{-4 + 5}{2}, \frac{7 +(-3)}{2}) \)
\( M(\frac{1}{2}, \frac{7 - 3}{2}) \)
\( M(\frac{1}{2}, \frac{4}{2}) \)
\( M(\frac{1}{2}, 2) \)
Position of the ship at noon is best represented at \( (\frac{1}{2}, 2) \)
The graph of a function f(x) passes through the following points:
(0,2), (1, 0), (-1,-4)
Which of the following could be f(x)?
O f(x) = 2x - 2
O f(x) = 2x² - 2
○ f(x) = - 2x - 2
○ f(x) = 2√x-2
Answers
The function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
The graph of a function f(x) passes through the following points: (0,2), (1, 0), (-1,0)
Let
f(x) = ax² + bx + c
Plug x = 0, and y = 2
c = 2 ...(1)
Plug x = 1 and y = 0
a + b + c = 0 ..(2)
Plug x = -1 and y = 0
a - b + c = 0 ...(3)
After solving (1), (2), and (3)
a = -2
b = 0
c = 2
f(x) = -2x² + 2
Thus, the function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)
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Use the graphs to make predictions about the relationship between the number of homeless Pit Bulls and the number of homeless Chihuahuas
Answers
Answer:
the answer to ur question is 6
Answer:
25
Step-by-step explanation:
a sundae costs $2 additional toppings cost $.50 write and graph an equation in two variables that represent the total cost of a sundae
Answers
We can plοt these pοints (0, 2), (1, 2.5), (2, 3), and (3, 3.5) οn a cοοrdinate plane and draw a line cοnnecting them.
What is equatiοn ?An equatiοn is a mathematical statement that shοws that twο expressiοns are equal. It cοntains an equals sign (=) between twο expressiοns.
Fοr example, the equatiοn 2 + 3 = 5 shοws that the expressiοn 2 + 3 is equal tο the expressiοn 5. In this equatiοn, the expressiοns οn bοth sides οf the equals sign have the same value.
Let's define the twο variables:
Let x be the number οf additiοnal tοppings
Let y be the tοtal cοst οf the sundae, including the $2 base price and the cοst οf the additiοnal tοppings
Then we can write the equatiοn fοr the tοtal cοst οf the sundae as:
y = 2 + 0.5x
The $2 is the base price οf the sundae, and the $0.5x represents the cοst οf the additiοnal tοppings, where each tοpping cοsts $0.50.
Tο graph this equatiοn, we can plοt pοints οn a cοοrdinate plane. Let's chοοse a few values οf x and find the cοrrespοnding values οf y:
If x = 0 (nο additiοnal tοppings), then y = 2 + 0.5(0) = $2
If x = 1, then y = 2 + 0.5(1) = $2.50
If x = 2, then y = 2 + 0.5(2) = $3
If x = 3, then y = 2 + 0.5(3) = $3.50
Therefοre, We can plοt these pοints (0, 2), (1, 2.5), (2, 3), and (3, 3.5) οn a cοοrdinate plane and draw a line cοnnecting them. This line represents the tοtal cοst οf the sundae as a functiοn οf the number οf additiοnal tοppings.
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Complete Question;
A sundae costs $2. Additional toppings cost $.50 each. Write in two variables that represent the total cost of sundae.
How many permutations of the three letters C, D, and E are possible? a 3 b 0 c 8 d 6
Answers
The number of possible permutations of the three letters C, D, and E is d.6
A permutation is an arrangement of objects in a specific order. In this case, we are looking at the number of possible arrangements of the three letters C, D, and E. To find the number of permutations, we can use the formula:
n! = n x (n-1) x (n-2) x ... x 3 x 2 x 1
where "n" is the number of distinct objects to be permuted.
So for our problem, we have three distinct objects (C, D, and E). Therefore, we can plug in n=3 to get:
3! = 3 x 2 x 1 = 6
This means there are 6 possible ways to arrange the letters C, D, and E in different orders. We can list all of these permutations as follows:
CDE
CED
DCE
DEC
ECD
EDC
So the answer to the question is 6, as given in option (d).
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#
f(x) = x
f(x) = 3
5
6
f(x)=3-x
f(x) = 1
Domain
3
0
x=2
2
f(x) = 2
Function Equation
f(x) = 5-x
Answers
f(x) = x is a simple linear function with a slope of 1, f(x) = 3 5 6 is a constant function, f(x) = 3-x is a linear function with a negative slope of -1, f(x) = 1 is a constant function, f(x) = 2 is a constant function
What is a constant function?A constant function is a mathematical function whose output value is the same for every input value
From the given parameters, f(x) = x is a simple linear function with a slope of 1, this implies that for every unit increase in x, the value of y increases by 1.
Also, f(x) = 3 5 6 is a constant function, where the value of y is always 3 5 6, regardless of the value of x.
In the same way, f(x) = 3-x is a linear function with a negative slope of -1, which means that for every unit increase in x, the value of y decreases by 1. The fourth function f(x) = 1 is a constant function, where the value of y is always 1, regardless of the value of x.
The domain of the fifth function is 3 0, which means that x can take any value between 3 and 0.
The sixth function f(x) = 2 is a constant function, where the value of y is always 2, regardless of the value of x.
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Solve (x 1)2 – 4(x 1) 2 = 0 using substitution. U = x 4(x 1) x 1 (x 1)2.
Answers
The value of `x` is either `-1` or `-3/4` when the equation `(x+1)² – 4(x+1) = 0` is solved using substitution by substituting
`U = x+1 / (x+1)²`.
Given expression is `(x+1)² – 4(x+1) = 0
`We are supposed to solve this equation using substitution by substituting
`U = x+1 / (x+1)²`
Now, let's substitute the given values in the above equation.
`U² - 4U = 0``U(U - 4) = 0`
Either `U = 0` or
`U - 4 = 0`
Now, let's substitute the value of `U` in the above equation to get the value of `x`.
If `U = 0` then `x + 1 = 0`.
Hence, `x = -1`
If `U - 4 = 0`
then `x + 1 = 1/4`.
Hence, `x = -3/4`
Therefore, the value of `x` is either `-1` or `-3/4` when the equation `(x+1)² – 4(x+1) = 0` is solved using substitution by substituting `U = x+1 / (x+1)²`.
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9 4/5÷3 1/2= i need help with it
Answers
Answer:
Step-by-step explanation:
2.8
Answer: 2.8
Step-by-step explanation: It's basic
write three equations of lines with a positive slope
Answers
Based on this data, for every inch in height, the arm span increases by 1.1 inches.
Here, we have,
I put the height of people on the x-axis because this is what I am trying to correlate the arm span to. I put the arm span on the y-axis because it is dependent on height.
I used point (60,61) and (70,72) to draw the line of best fit and to get the equation. First, to get the slope I would use the slope formula of m = 72-61/70-60 or 11/10 to get a slope of approximately 1.1. Then I used (60,61) to get the rest of the equation by plugging it in: y-61 = 1.1(x -60). This becomes y-61 = 1.1x - 66. Add 61 to both sides and the final equation is y = 1.1x – 5.
The slope represents the rate of change arm span based on height. The y intercept is the arm span.
Using points (66,68) and points (70,72) I plug each into the equation y=1.1x-5 to figure each out based on the difference from the actual points and get .4 for (66,68) and 0 for point (70,72) so I would say, based on .4 and 0 for these two points that this is a good line of best fit.
Based on this data, for every inch in height, the arm span increases by 1.1 inches.
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complete question:
There are many measurements of the human body that are positively correlated. For example, the length of one's forearm (measured from elbow to wrist) is approximately the same length as the foot (measured from heel to toe). They are positively correlated because, as one measurement increases, so does the other measurement.
What additional information would be necessary to determine sin A?
Answers
We can determine sin an in the above triangle using the available information without applying the Pythagorean theorem since the length of BC is required because it is the side opposite A.
We are told that we must calculate sin(a) without utilizing the Pythagorean theorem.
Now, we can see from the abbreviation SOHCAHTOA that if we wish to determine Sin a, it will be; sin a = opposite/adjacent
We must now locate a side opposing the angle A or the hypotenuse.
As a result, since the triangle is ABC, the required side is BC because it is the side opposite to A.
Finally, the length of BC is required because it is the side opposite A.
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The complete question should be like:
What additional information would be necessary to determine sin(A) without using the Pythagorean theorem? Explain.
5 points
You want to rent a car for a dayl It will cost the daily fee of $50 plus $0.35
per mile driven. Part A: Write an expression that shows the amount you will
pay for the car. Let m=the number of miles you drive for the day. Part B:
How much will you pay if you drive 80 miles?
Answers
Answer:
The payment for driving 80 miles is $78
Step-by-step explanation:
Mathematical model
Mathematical models are used in disciplines like natural sciences and engineering, among many others.
The data provided in the question allows building a model for the charges of the car rental, knowing there are two fees:
A fixed charge of $50
A variable charge or $0.35 per mile driven.
Part A
Using m as the number of miles driven for the day, the model for the payment for the car rental is:
P(m)=50+0.35m
Part B
Find the payment if the car is driven m=80 miles:
P(80)=50+0.35*80
P(80)=50+28=78
The payment for driving 80 miles is $78
Find the value of x? I need help
Answers
Answer:
The answer should be X=3
Please help me I have been doing this forever.
Answers
write an equation of a polynomial of degree 6 with 2 imaginary roots, one distinct root at negative sqrt of 3 and tangent to the x-axis at x
Answers
Using the provided conditions for the roots and the value for the degree of the polynomial, The required equation is : \(x^{6} + \sqrt2 x^{5}+9x^{4}+9\sqrt2 x^{3}\) .
What are roots of the equations?An equation's roots are just another way of indicating that the equation has "solutions." Solutions are the numbers that, once the variable has been solved, are equal to it. Set f(x)=0 and solve the equation for x to determine where the function meets the x-axis. The x-intercept is the root of the equation, which is discovered by solving the equation for x, if the function is a linear function of degree 1, where f(x)=mx + b.
What do you mean by degree of polynomial?The highest degree of a polynomial's monomials with non-zero coefficients is referred to as the polynomial's degree in mathematics. A term's degree is a non-negative integer and is calculated by adding the exponents of all the variables that occur in it.
imaginary roots are conjugate in nature,
(x+3i), (x-3i)
other roots,
\((x+\sqrt2)\),\(x^{3}\)
final equation,
\((x+3i)(x-3i)(x+\sqrt2)x^{3} =0\)
\(x^{6} + \sqrt2 x^{5}+9x^{4}+9\sqrt2 x^{3}\) = 0
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A computer network manager wants to test the reliability of some new and expensive fiber optic Ethemet cables that the computer department just received . The computer department received 10 boxes containing 50 cables each The manager does not have the time to test every cable in each box The manager will choose one box at random and test 10 cables chosen randomly within that box What is the population
Answers
Answer: 500 cables
Step-by-step explanation:
The population refers to the individuals or the items which are of interest fltonthe researcher during an experiment.
Since the computer department received 10 boxes containing 50 cables each, then the population will be gotten as:
= 10 × 50
= 500 cables
Please someone help me out!!!!! Bill is bying a pair of jeans that costs $20. He has to pay 5% sales tax. How much will he pay in all?
Answers
Answer:
21
Step-by-step explanation:
First determine the amount of tax
20 * .05
1
Add this to the original amount
20+1
21
He will pay 21 dollars
The radius of a circle is 3 kilometers. What is the circle's area
Answers
Answer:
28.27
Step-by-step explanation:
A=πr2=π·32≈28.27433
Answer:
If you're using 3.14 for pi, it's 28.26
Step-by-step explanation:
if abby lee miller hit you what would you do
Answers
Answer:
nothing cause she scares me
Step-by-step explanation:
Answer:
smack that gurl
Step-by-step explanation:
but also be scared for my life
Brainliest? lol
me ayudan a resolver unos problemas en word les adjunto el archivo
Answers
An equilateral triangle and a square both have perimeters of 48 inches. What is the ratio of the length of the side of the triangle to the length of the side of the square
Answers
Answer: 4:3
Step-by-step explanation:
The side length of the triangle is 48/3 = 16.
The side length of the square is 48/4 = 12.
So, the ratio is 16:12 = 4:3.
Can some one PLEASE answer these for me? (I’ll also mark you brainliest!)
Answers
AnswerAnwser key
Step-by-step explanation:
Answer:
1) -6
2) -8
3) 125185623/1000000000 ( i didn't really understand this one but i hope i got it right)
4) 1
5) 0.94736842
6) 4/5 = 5/4
I can only do up to there for now .... sorry
but i can do the second part in a few mins.
Step-by-step explanation:
i really hope this is right....
Find the indicated term of the given arithmetic sequence.
a14 for 200, 196, 192, ...
Answers
Answer:
148
Step-by-step explanation:
AP 200, 196, 192, ...
a14=?
---------
a1= 200
d= 196-200=192-196= -4
a14= a1+13d
a14= 200+13*(-4)= 200- 52= 148
The principal advantage of the Dodge-Romig tables is: A. minimum inspection B. its desirability for receiving inspection C. smaller lot sizes D. simplicity
Answers
The principal advantage of the Dodge-Romig tables is their simplicity. Therefore, the correct answer is D. simplicity.
The Dodge-Romig tables are statistical sampling tables used in quality control to determine the acceptance or rejection
of a production lot based on sample size and the number of defects found in the sample.
The principal advantage of the Dodge-Romig tables is their simplicity.
They provide a quick and easy method for determining the acceptability of a production lot, without the need for
extensive calculations or statistical knowledge.
This means that they can be used by personnel with limited training in quality control.
The principal advantage of the Dodge-Romig tables is their simplicity. While they can be used for receiving inspection,
their main benefit is in minimizing inspection time and effort by providing clear guidelines for lot sampling and
acceptance based on size and level of defects.
Additionally, their use can facilitate smaller lot sizes and more efficient quality control processes.
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How can you use the distribute property to solve multi step equations
Answers
What’s the answer xx
Answers
Step-by-step explanation:
Hey there!
Given;
ABC is a Right angled triangle.
Taking angle "A" as reference angle, we get;
Perpendicular (p) = BC
hypotenuse (h) = 13cm
Base(b) = 8cm
We know;
\( {h}^{2} = {p}^{2} + {b}^{2} \)
\(or; \: p(BC) = \sqrt{ {h}^{2} - {b}^{2} } \)
\( BC = \sqrt{ {13}^{2} - {8}^{2} } \)
\( BC = \sqrt{169 - 64} \)
\( BC = \sqrt{105} \)
\( BC = 10.246\)
Therefore, BC = 10.246cm.
Hope it helps...
Evaluate yz + x² x=3.2, y=6.1, z=0.2
Answers
Answer:
Step-by-step explanation:
To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:
yz + x²
Substituting the given values, we get:
(6.1 * 0.2) + (3.2^2)
This simplifies to:
1.22 + 10.24
Therefore, the value of the expression is approximately 11.46.
11.46
gimme brainlyest gang
Scarlett drew a scale drawing of a campsite. The tent, which is 8 feet wide in real life, is 2 inches wide in the drawing. What is the scale of the drawing?
Answers
Answer:
25% or 0.25
Explanation:
Based on the given conditions, formulate: 2 divided by 8
Reduce the fraction: 1/4
get the result: 25% or 0.25
Answer: 25% or 0.25
Please Vote Me Brainliest. Thank You.
Answer:
48 : 1 or 48 to 1
Step-by-step explanation:
to find out the answer we have to first find out what 8 feet is in inches as shown below
8 * 12 = 96
then we apply the inch value to a scale factor setup where 96 is the larger set and 2 is the smaller image
96 : 2
find the least common denominator...
96 / 2 : 2 / 2
= 48 : = 1
and then rewrite the answer
48 : 1
good luck with ur studies, hope this helps with future problems ^^
tan x(cot x- csc x)=
Answers
Answer:
1 - sec (x)
Step-by-step explanation:
Write the problem as a mathematical expression
tan (x) (cot(x)−csc(x)
Apply the distributive property
tan (x) cot(x) +tan (x) (−csc(x)
Rewrite in terms of sines and cosines, then cancel the common factors
1+tan (x) (−csc(x)
Then u get 1 - sec (x)