Suppose that the average income of the engineers hired at REDUNO presents an approximately normal behavior with a mean of $17,000and a standard deviation of $3,000
a) What percentage of the employees will have incomes greater than $20,000 ?
b) In a random sample of 50 employees, about how many people can be expected to have incomes of less than $15,000 ?
Answers
a) The percentage of employees with incomes greater than $20,000 can be found by calculating the z-score and looking up the corresponding area under the standard normal distribution. The answer will depend on the specific z-score and the associated area.
b) The number of people expected to have incomes less than $15,000 in a random sample of 50 employees cannot be determined solely based on the mean and standard deviation. It requires additional information, such as the shape of the distribution or the proportion of employees with incomes below $15,000.
a) To find the percentage of employees with incomes greater than $20,000, we can use the standard normal distribution.
First, we calculate the z-score using the formula z = (x - μ) / σ, where x is the value ($20,000), μ is the mean ($17,000), and σ is the standard deviation ($3,000).
Once we have the z-score, we can look up the corresponding area under the normal curve using a standard normal distribution table or a calculator. The area to the right of the z-score represents the percentage of employees with incomes greater than $20,000.
b) To estimate the number of people expected to have incomes less than $15,000 in a random sample of 50 employees, we can use the mean and standard deviation given. We calculate the z-score using the same formula as in part a, with x = $15,000.
Then, we can use the standard normal distribution table or calculator to find the area to the left of the z-score, which represents the percentage of employees with incomes less than $15,000. Finally, we multiply this percentage by the sample size (50) to estimate the number of people.
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Related Questions
An Australian Wallaby walked 5 miles to the coast in 3 and 3/4 hours. What was the wallabys speed in miles per hour?
Answers
Answer:
1 1/3 mph
Step-by-step explanation:
distance = rate x time
5 = 3.75r
5/3.75 = r
r = 1 1/3 mph
The equation of a line is y= -3x - 18. What are the coordinates of the point on the
line when the value of yis 3?
Answers
Answer:
-7
Step-by-step explanation:
3=-3x-18
3x=-18-3
3x=-21
x=-7
Show that the equation x ^ 3 + 6x - 10 = 0 has a solution between x = 1 and x = 2
Answers
So all we have to do is plug in 1 and 2 for x and prove one is negative and the other is positive.
If we plug in 1, we get -3. If we plug in 2, we get positive 10. This means there is a solution!
Colton opened a savings account and deposited $1,000.00 as principal. The account earns 11% interest, compounded annually. What is the balance after 8 years? Round your answer to the nearest cent.
Answers
Answer:
$2304.5
Step-by-step explanation:
The balance after 8years=P(1+R/100)^t
=1000(1+11/100)^8
=$2304.5
The null hypothesis suggests that the two samples come from ___________ distribution(s), and the experimental hypothesis suggests that the two samples come from _____________ distribution(s). Group of answer choices the same; different different; different different; the same the same; the same
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Equations from tables
Plzz help
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Rate of change: 3
Equation: y + 3
2. Initial value: 3
Rate of change: 3
Equation: y + 3
3. Initial value: 8
Rate of change: -2
Equation: y - 2
The initial value is the y-coordinate when x is equal to 0.
The rate of change is the difference between one point to the next immediate point.
The equation shows the rate of change.
What is the value of x?
Answers
a system of equations has two or more equations with the same set of ___ values a. one b. unknown c. point d. any
Answers
how to change a negative exponent to a positive exponent
Answers
X^-2 = 1/x^2
Use two-step procedure to select a simple random sample of 50 EAl employees. Click on the datafile logo to reference the data. Hone Insert Draw Page Loyout Fornulas Data Review 12. %x y fo 75769.5 1. Salary Tyeram
Answers
By following these steps, you will have a simple random sample of 50 EAl employees based on the two-step procedure.
To select a simple random sample of 50 EAl employees using a two-step procedure, you can follow these steps:
Step 1: Create a Sampling Frame
1. Open the data file containing the EAl employee data.
2. Locate the column that contains the employee IDs or any unique identifier for each employee. Let's assume the column name is "EmployeeID."
3. Create a new column called "RandomNumber" next to the "EmployeeID" column.
4. Generate a random number for each employee using a random number generator or a spreadsheet function like RAND(). Enter the formula "=RAND()" in the first cell of the "RandomNumber" column and drag it down to generate random numbers for all employees.
Step 2: Select the Sample
1. Sort the data based on the "RandomNumber" column in ascending order.
2. Take the top 50 employees from the sorted list. These will be your selected sample of 50 EAl employees.
Note: Ensure that the sorting process does not alter the original order of the data or the employee IDs. You can make a backup of the data file before proceeding to avoid any accidental modifications.
By following these steps, you will have a simple random sample of 50 EAl employees based on the two-step procedure.
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Write the equation of the line perpendicular to 5y - 5x = -20 that passes through the point (-3, 8)
Answers
Answer:
x+y-5=0
Step-by-step explanation:
let eqn Perpendicular to eqn 5y-5x=-20 be -5x-5y+k=0------(1)
eqn (1) passes through (-3,8)
-5×-3-5×8+k=0
15-40+k=0
K=25
since required eqn perpendicular to 5y-5x=-20 is -5x-5y+25=0
x+y-5=0ans.
which sets of numbers could be represented by A and B in the following Venn diagram?
Answers
SOLUTION
By Definition
Whole numbers are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, …
it sets can be represented as
\(\lbrack0,\infty)\)An Integer is a whole-valued positive or negative number or 0. The set of integers is represented as
\((-\infty,\infty)\)hence integers contain whole numbers
Rational numbers are a set of numbers that can be written as a fraction. all integers can be written as a fraction.
Hence we conclude that
\(\text{Rational numbers }\subset integers\text{ }\subset whole\text{ numbers }\)Hence we have the diagram as
Therefore the right option is B
how many decimal of 10
Answers
From the decimal theory 10 has no decimal places, as it is a whole number.
As per the data given in the above question are as bellow,
The provided details are as bellow,
We have given the number as 10.
we have to find the decimal in the given number.
Thus we have to know about decimal value.
The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit that follows the decimal. Up until there are no more digits, the remaining ones keep the place values filled in.
Here don't have any decimal value in the given number 10.
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Please help me in math the question is in the picture please
Answers
If car has 1/x part in cleaning the house in 1 hour 1/x-5 must be part of Jose if he also clean the house for 1 hr.
What is work?The scientific definition of work is different in many ways from its everyday meaning. The definition of work in physics reveals its relationship to energy – whenever work is done, energy is transferred.
For a work to be done, in a scientific sense, a force must be exerted, and there must be displacement in the direction of the force. With this said, we can say that Work is the product of the component of the force in the direction of the displacement and the magnitude of this displacement.
Mathematically, the above statement is expressed as follows:
W = (F cos θ) d = F. d
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for brainiest:):):):):):):)
Answers
Answer:
1. 16%
2. 58%
Step-by-step explanation:
A band plays one concert in Arizona, one concert in California, and one concert in Georgia. In California, the band earned 3/2
the profit that they earned in Arizona. Of the total profit earned by the band, 32% is earned in Arizona. How many times more money did the band earn at the most profitable concert than at the least profitable concert?
how many times more?
Answers
The band earned 4 times more money at the most profitable concert than at the least profitable concert.
Let x = total profit earned by the band
The band earned 3/2x in California and 32% of x in Arizona.
So, x = (3/2)x + 0.32x
2.32x = x
x = 2.32x / 2.32
x = 1
Therefore, the band earned 4 times more money at the most profitable concert than at the least profitable concert.
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Maria was shopping for a camera and found one that was on sale for 30% off. As she went to pay for it, the store announced an instant sale that took an additional 10% off all items. If the final price Maria paid was $207.27, what was the original price (before all discounts) of the camera? Possible Answers: $290.18 $329.00 $518.18 $767.67 $82.91
Answers
Answer:
$329.00
Step-by-step explanation:
Let the original price be $x, then
x - 0.30x - 0.10(x - 0.30x) = 207.27
x - 0.30x - 0.10x + 0.03x = 207.27
0.63x = 207.27
x = 329.00.
help asap 7(8+4k)+12
Answers
=============================================
Work Shown:
7(8+4k)+12
7*8+7*4k+12 ..... distributive property
56+28k+12
28k+56+12
28k+68
Answer:
28k + 68? I think
Step-by-step explanation:
expand by distributing terms
56+28k+12
collect lile terms
28k+(56+12)
Simplify
28k+ 68
A projectile is thrown upward off a 130ft cliff at a velocity of 15ft/second. How long before it reaches a height of 25ft?
Answers
Answer:
The time taken for the projectile to reach the given height is 1.2 s.
Step-by-step explanation:
Given;
height of travel, h = 25 ft
initial velocity of the projectile, u = 15 ft/s
The time taken for the projectile to travel a height of 25 ft is given by the following kinematic equation;
h = ut + ¹/₂gt²
25 = 15t + ¹/₂(9.8)t²
25 = 15t + 4.9t²
4.9t² + 15t - 25 = 0
solving the quadratic equation, we will have the following solution of t;
t = 1.2 s
Therefore, the time taken for the projectile to reach the given height is 1.2 s.
a water tank is draining at a constant rate if after five minutes the tank is drained by 4.5 gallons what is the rate in gallons per minute at the tank is draining
Answers
Answer:
The rate is 0.9 gallon per minute
Step-by-step explanation:
Here, we have 4.5 gallons drained in 5 minutes but we are interested in calculating the rate per minute
Let the amount drained per minute be x
4.5 gallons = 5 minutes
x gallon = 1 minute
Let’s cross multiply;
x * 5 = 4.5 * 1
5x = 4.5
x = 4.5/5
x = 0.9 gallons
Help pls! I only have 3 days left to do it
Answers
|-3|=3
|12|= 12
|0| = 0
|-12|=12
Answer: The absolute value of a number is the DISTANCE from ZERO to that number on a number line.
|-3| = 3
|12| = 12
|0| = 0
|-12| = 12
Step-by-step explanation:
know the concept of random variable and know how to use proper notations to represent them (where does the randomness come from?)
Answers
The x is a specific value that the variable can take on.
A random variable is a variable that has a numerical value, which is determined by the result of a random experiment. The numerical value is determined by a set of probabilities, which are associated with each possible outcome of the experiment. Random variables can be classified as discrete or continuous, depending on the type of outcomes that they can have. Examples of random variables include the number of heads in a series of coin tosses, the time until a traffic light changes from red to green, and the height of a randomly selected person.The randomness of a random variable comes from the fact that the outcome of the experiment that it represents is uncertain. The uncertainty arises because the experiment is subject to the effects of chance, rather than being completely determined by fixed physical laws or other deterministic factors. Because of this, it is not possible to predict with certainty what the value of a random variable will be, even if we know the probabilities associated with each possible outcome.There are many different notations that can be used to represent random variables, depending on the context and the preferences of the person using the notation. Some of the most common notations include X, Y, and Z, as well as Greek letters such as µ, σ, and ρ. When a random variable is discrete, it is often represented using a probability mass function, which is denoted by P(X=x), where x is a specific value that the variable can take on. When a random variable is continuous, it is often represented using a probability density function, which is denoted by f(x), where x is a specific value that the variable can take on.
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BRAINLIEST AND 50 POINTS!!!!! Choose the best answer
∠FOA 40 140 90 130 50
∠COA 40 140 90 130 50
∠DOA 40 140 90 130 50
Answers
Answer:
2nd one COA 40 140 90 130 50
Step-by-step explanation:
IF IM WRONG TELL ME AND I HELP YOU OUT AGAIN
Answer:
A=180 B=150 C=130 D=90 E= 60 F=40
Step-by-step explanation:
A=180 B=150 C=130 D=90 E= 60 F=40
The ratio of small dogs to large dogs at the dog show is 4:3. If there are 56 total dogs in the show, how many large dogs are in the show? Show your work by using a tape diagram.
Answers
Answer:
there are 24 large dogs
Step-by-step explanation:
add the ratio 3 plus 4
for large dogs you have 3/7×56
USE DISTRIBUTIVE PROPERTY
-n(12n + 11) + 15
Answers
Answer:
-12n² - 11n + 15
Step-by-step explanation:
You multiply the -n with both 12n and 11, i.e., you distribute it over the terms in the brackets.
3
6
Choose 1 answer
A
= 27
B
= 4
C2=5
D
r = 18
Answers
Answer:
B
Step-by-step explanation:
I hope this helped!
How many F ratios (i.e. F statistic values) are figured in a two-way analysis of variance known as a 2x2 Factorial Design?
a) as many as there are cells in the design
b) 2
c) 3
d) 1
Answers
Therefore, the correct answer is c) 3, as there are three F ratios calculated in a 2x2 factorial design.
How many F ratios in a 2x2 Factorial Design?In a two-way analysis of variance (ANOVA) known as a 2x2
factorial design, there are three F ratios or F statistic values calculated. This design involves two independent variables, each with two levels or categories.
The three F ratios represent the main effects of each independent variable and the interaction between the two variables.The main effects F ratios determine whether there are significant differences between the levels of each independent variable individually, ignoring the other independent variable.
There will be two main effects F ratios, one for each independent variable.The interaction F ratio examines whether there is a significant interaction between the two independent variables. It determines whether the effect of one independent variable differs across the levels of the other independent variable.
This F ratio assesses the joint influence of both independent variables.
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Find the measure of each acute angle.
(19x − 1)∘ = and (13x − 5)∘ =
Answers
Answer:
34 degrees; 56 degrees
The measures of each of the acute angles are 56 degrees and 34 degrees.
Step-by-step explanation:
The measures of a triangle add up to 180 degrees.
One angle has the measure of 90 degrees since it is marked as a right angle.
Using this info we can create an equation to solve for x.
(19x-1)+(13x-5)+90=180
Now solve for x.
32x-6+90=180
32x=96
x=3
Now to find the measure of each angle subsitute the value of x.
(19x-1)=19*3-1=56 degrees
(13x-5)=13*3-5=34 degrees
The measures of each of the acute angles are 56 degrees and 34 degrees.
Answer:
19x - 1 ➡ 19 × 3 - 1 = 56°
13x - 5 ➡ 13 × 3 - 5 = 34°
Step-by-step explanation:
The given triangle is a right triangle which means one of the angle has a measurement of 90° and since the sum of interior angles in a triangle is equal to 180° the sum of other two angles must be 90°
19x - 1 + 13x - 5 = 90 add like terms
32x - 6 = 90 add 6 to both sides
32x = 96 divide both sides by 32
x = 3
19x - 1 ➡ 19 × 3 - 1 = 56°
13x - 5 ➡ 13 × 3 - 5 = 34°
−52 < 2 (3x -2) answers -10 -6 -8 -9
Answers
The value of the inequality for the expression is: x > -8
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
To solve the inequality, we need to isolate the variable, x.
We begin by simplifying the expression inside the parentheses:
2(3x - 2) = 6x - 4
Now we can substitute this expression into the original inequality:
-52 < 6x - 4
Add 4 to both sides:
-48 < 6x
Divide both sides by 6:
-8 < x
So the solution to the inequality is x > -8.
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Sean has 3 times as many vegetable plants as Liz and Sejuan combined. Liz has 3 vegetable plants, and Sejuan has 2 vegetable plants. How many vegetable plants does Sean have?
Which statements about this word problem are true? Check all that apply.
A: This is an example of a part-whole problem.
B: This is an example of a comparison problem.
C: Addition then multiplication can be used to solve the problem.
D: Subtraction then division can be used to solve the problem.
E: Division then multiplication can be used to solve the problem.
Answers
Answer:
C: Addition then multiplication can be used to solve the problem
Step-by-step explanation: