The following represent statistics of weekly salaries at Acme Corporation.
Mean = $585 Median = $581 Mode = $575
First Quartile = $552
Third Quartile = $605
a) What is the most common salary? $575
Standard deviation = $28.
86th Percentile = $612
b) What salary did half the employee's salaries surpass? $581
c) About what percent of employee's salaries is below $612?
d) What percent of the employee's salaries are above $552?
e) What salary is 2 standard deviations below the mean?
f) About what percent of employee's salaries is above $592?
g) What salary is 1.5 standard deviations above the mean?
(Round answer two decimal places, if necessary.)
P64 = $592
Answers
a) This refers to the mode = $575
b) This refers to the median = $581
c) This refers to the 86th Percentile = $612
d) This refers to the First Quartile = $552
e) The salary is that is 2 standard deviations below the mean = $529
f) About 36 percent of employee's salaries is above $592
g) $627 is 1.5 standard deviations above the mean
Given data
Mean = $585
Median = $581
Mode = $575
First Quartile = $552
Third Quartile = $605
Standard deviation = $28.
86th Percentile = $612
P64 = $592
How to find the required valuesa) What is the most common salary? $575
This refers to the mode = $575
b) What salary did half the employee's salaries surpass? $581
This refers to the median = $581
c) About what percent of employee's salaries is below $612?
This refers to the 86th Percentile = $612
d) What percent of the employee's salaries are above $552?
This refers to the First Quartile = $552
e) What salary is 2 standard deviations below the mean?
The mean is given as $585 and the standard deviation is $28
2 standard deviation below the mean is:
= 585 - 2 * 28
= 585 - 56
= $529
f) About what percent of employee's salaries is above $592?
P64 is given as $592 this refers to the percent of employee's salaries that falls under 64%. so the percent above is above 64 is given as:
= 100 - 64
= 36%
g) What salary is 1.5 standard deviations above the mean?
The mean is given as $585 and the standard deviation is $28
1.5 standard deviation below the mean is:
= 585 + 1.5 * 28
= 585 + 42
= $627
Read more on standard deviation here: https://brainly.com/question/475676
#SPJ1
Related Questions
You reflect triangle PQR, with coordinates P(-4, -4), Q(-1, -3), and R(-3, -1), across the x-axis, across the y-axis, and across the x-axis again to form triangle P′Q′R′.
After these reflections, the coordinates of P′ will be (______,______).
?
Answers
Answer:
P'( 4, -4)
Step-by-step explanation:
The double reflection across the x-axis does nothing, so the net effect is a single reflection across the y-axis. That effect is to negate the x-coordinate:
reflection across y-axis: (x, y) ⇒ (-x, y)
Then P(-4, -4) ⇒ P'(4, -4)
Answer:
4,-4
Step-by-step explanation:
edmentum answer!!
Evaluate the given expression and show the steps, please.
Answers
To find:-
\(\displaystyle \sum_{n=1}^{4} 2(3^{n - 1})\)Answer:-
We need to evaluate,
\(\implies s_4=\displaystyle \sum_{n=1}^{4} 2(3^{n - 1})\)
Substituting n = 1 , 2 , 3 and 4 in \( 2(3^{n - 1})\) and then adding them , we have;
\(\implies s_4 = 2(3^{1-1}) + 2( 3^{2-1})+2(3^{3-1})+2(3^{4-1}) \\\)
Take out 2 as common,
\(\implies s_4 = 2 [ 3^0 + 3^1 + 3^2 + 3^3]\\\)
\(\implies s_4 = 2 [ 1 + 3 + 9 + 27 ] \\\)
\(\implies s_4 = 2 ( 40) \\\)
\(\implies \underline{\underline{ s_4 = 80}} \\\)
Hence the required answer is 80 .
and we are done!
simplify (2/3 of 21/4)
Answers
Answer: 3 1/2
Step-by-step explanation:
"Of" is the same as multiplication so,
2/3 × 21/4=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
2 × 2/13 × 4 = 42/12
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 42 and 12 using
GCF(4/2 , 1/2) = 6
4/2 ÷ 6 1/2 ÷ 6 = 7/2
The fraction
7/2
is the same as
7÷2
Convert to a mixed number using
long division for 7 ÷ 2 = 3R1, so
7/2 = 3 1/2
Therefore:
2/3 of 21/4 = 3 1/2
Hopefully, I Helped
Sebastian got estimates from 7 companies for his kitchen remodel:
$27,500 $31,000 $36000 $92,000 $29,000 $30,500 and $28,500
Which measure of center best describes the data, the mean or the median?
Answers
Answer:
27.500
Step-by-step explanation:
Write an explicit equation for the following
sequence:
4/7,-4, 28, -196, 1372, ...
Answers
Answer:
a_n = (4/7)(-7)^(n - 1)
Step-by-step explanation:
a1 = 4/7 = 4/7 × 1 = (4/7)(-7)^0
a2 = -4 = 4/7 × (-7) = (4/7)(-7)^1
a3 = 28 = 4/7 × (-7)(-7) = (4/7) × (-7)^2
etc.
a_n = (4/7)(-7)^(n - 1)
Paying into a retirement savings plan will increase taxable income, true or false
Answers
Answer:
true
Step-by-step explanation:
Karen walks
3 7/10 miles each day. What is the total number of miles she walks in 31 days?
Answers
Answer:
114 7/10 miles or 114.7
Step-by-step explanation:
Just multiply 3 7/10 miles to 31
Can somebody please help me with this please
Answers
Answer:
equilateral for the first one scalene for the second one scalene for the third one equilateral for the fourth one
Step-by-step explanation:
The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (-); for example, enter x2 as x^2.
Answers
The answer : (x-5)^2 .....................................(x-5)square
For example, for f(x)= x square . For x=1 ,then, y=1 .
But consider the g function. the minimum value that g function has is x is 5. When x is 5, y is 0 . So (x-5)square is the equation of this function.
The complete equation of the blue graph is (x-5)^2.
What is a function?
Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
Red graph equation= X^2
Now,
In blue graph it shifted by 5 units to the right
For blue graph
x=5
Putting the value of x in red graph equation
=(x-5)^2
=x^2 + 25 - 10x
Therefore, by the given graph function will be (x-5)^2.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ7
A student participates in a Coke versus Pepsi taste test. She correctly identifies which soda is which four times out of six tries. She claims that this proves that she can reliably tell the difference between the two soft drinks. You have studied statistics and you want to determine the probability of anyone getting at least four right out of six tries just by chance alone. Which of the following would provide an accurate estimate of that probability?
a. Have the student repeat this experiment many times and calculate the percentage time she correctly distinguishes between the brands.
b. Simulate this on the computer with a 50% chance of guessing the correct soft drink on each try, and calculate the percent of times there are four or more correct guesses out of six trials.
c. Repeat this experiment with a very large sample of people and calculate the percentage of people who make four correct guesses out of six tries.
Answers
Answer:
C.
Repeat this experiment with a very large sample of people and calculate the percentage of people who make four correct guesses out of six tries
Step-by-step explanation:
Why I choose the answer c is because for this kind of experiment to determine probability..it needs to be tested on variety of people as different people have different taste issue.
Trying it on one person alone will accumulate much error that will be very hard and uneasy to detect.
Consumers spend about 1,820 hours per year on their mobile devices. There are 52 weeks in a year. What is a reasonable estimate for the number of hours consumers spend on mobile devices each week?
Answers
This is quite simple and easy to learn since it is 1,820 hours a year, and since there are 52 weeks in a year, we just need to divide 1,820 by 52, and our answer is 35 hours a week, wow that sure is a lot.
Hope that helps.
Answer:
35 hours
Step-by-step explanation:
If this is not right, I'm only in 7th grade.
Which number doesn't share the same pattern as
2,20, 4,8,300
Answers
15.75 + .5x = 16.53 - .13x
Answers
Subtract 15.75 from both sides
.5x= 0.78-.13x
Add .13x to both sides
0.63x= 0.78
Divide .63 to both sides
x equals approximately 1.238
Which of the following sets of ordered pairs represents a function?
{(−3, −3), (−2, −2), (−1, −1), (0, 0), (1, 1)}
{(−3, −3), (−3, −2), (−3, −1), (−3, 0), (−4, −1)}
{(−3, −3), (−3, −1), (−1, −2), (−1, −1), (−1, 0)}
{(−3 −3), (−3, 0), (−1, −3), (0, −3), (−1, −1)}
Answers
The 1st one/Top one.
X value is different each time. Function can have the same y-value (3, 1), (2, 1) but can't have the same x-value (3, 1) (3, 3)
If a wheelchair access ramp has to have an angle of elevation no more than 4.8 degrees and it has to rise 18 inches above the ground, how long must the ramp be?
Answers
The wheelchair access ramp must be 216.09 inches long.
To find the length of the wheelchair access ramp, we can use trigonometry.
The tangent function relates the angle of elevation to the ratio of the opposite side (height) to the adjacent side (length of the ramp).
Let's denote the length of the ramp as "x".
The height of the ramp is given as 18 inches.
Using the tangent function:
tan(angle of elevation) = height/length of the ramp
tan(4.8 degrees) = 18/x
To solve for x, we can rearrange the equation:
x = 18 / tan(4.8 degrees)
Using a calculator to evaluate the tangent of 4.8 degrees:
x = 18 / 0.08331
x= 216.09
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ1
12x-5=24x+3
Solve for x
Answers
-5 + 12x = 24x + 3
-5 + 12x + -24x = 3 + 24x - 24x
-5 + -12x = 3 + 24x + -24x
-5 + -12x = 3 + 0
-5 + -12x = 3
-5 + 5 + -12x = 3 + 5
0 + -12x = 3 + 5
-12x = 3 + 5
-12x = 8
X = -.066666666667 or -2/3
What is the domain of the square root function graphed below?
On a coordinate plane, a curve open up to the right in quadrant 4. It starts at (0, negative 1) and goes through (1, negative 2) and (4, negative 3).
x less-than-or-equal-to negative 1
x greater-than-or-equal-to negative 1
x less-than-or-equal-to 0
x greater-than-or-equal-to 0
Mark this and return
Answers
The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.
The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.
From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).
The x-values of these points are 0, 1, and 4.
Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.
for such more question on domain
https://brainly.com/question/16444481
#SPJ8
Identify all the lines of symmetry of the following rectangle.
Explain, in your own words, how you found the lines
Answers
The triangle presented in the image has 2 axes of symmetry because it is only possible to divide it 2 times.
What are axes of symmetry?The axes of symmetry are a concept of geometry that are classified into two groups:
The plane axis of symmetry: This is an imaginary line that divides a figure into two parts, ensuring that the symmetrical points are at the same distance from it.The axis of axial symmetry: This is the symmetry around an axis, it is a point of translation and rotation in which all the semi-planes taken from a certain perpendicular bisector have identical characteristics.According to the above, it can be inferred that the rectangle presented in the image has only two axes of symmetry.
Learn more about symmetry in: https://brainly.com/question/17759737
#SPJ1
Answer: the verified answer is wrong
Step-by-step explanation:
it's not a triangle is a rectangle but it still has 2 axes tho
Identify the slope and y-intercept in the following equations. y = x + 3
Answers
Answer:
The slope is 1 and the y-intercept is 3
Step-by-step explanation:
Answer:
the starting intercept is "3" and the rise over run is "1"
The total revenue for Jane's Vacation Rentals is given as the function R(x)=400x−0.4x2
, where x is the number of apartments booked. What number of apartments booked produces the maximum revenue?
Answers
The vertex of a quadratic function in the form ax^2 + bx + c can be found using the formula x = -b / (2a).
In this case, a = -0.4, b = 400, and c = 0.
Using the formula, we can calculate the x-coordinate of the vertex:
x = -b / (2a)
= -(400) / (2 * (-0.4))
= -400 / (-0.8)
= 500
Therefore, the number of apartments booked that produces the maximum revenue is 500.
NEED HELP ASAPPP please
Answers
Answer:
it might be d I am not shore but I think that one sounds the best branley is making me do this to sigh. up sorry donjot use this
What is the lateral surface area of this net
Help!!!
Answers
9514 1404 393
Answer:
720 square feet
Step-by-step explanation:
The lateral area is the area of the central rectangle of the net. It is 12+12+12 = 36 feet long and 20 ft wide.
The lateral area is (36 ft)(20 ft) = 720 ft².
.
Five more than the product of a number and 8 equals 9.
Use the variable b for the unknown number.
Answers
The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."
To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:
8b + 5 = 9
To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:
Subtract 5 from both sides to get rid of the constant term:
8b + 5 - 5 = 9 - 5
8b = 4
Divide both sides of the equation by 8 to solve for b:
8b/8 = 4/8
b = 1/2
Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:
8(1/2) + 5 = 9
4 + 5 = 9
Both sides of the equation are equal, confirming that b = 1/2 is the solution.
For more such questions on variable visit:
https://brainly.com/question/28248724
#SPJ8
What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
For more such questions on square
https://brainly.com/question/27307830
#SPJ8
The profit y (in dollars) for a business from selling x coats is represented by y=56x . Graph the equation.
Answers
Answer:
The graph of the equation is also attached.
From the graph, it is clear that at x = 0, the value of y = 0
Hence, the line passes through the origin with the y-intercept 0.
Step-by-step explanation:
The slope-intercept form of the line equation
\(y = mx+b\)
where
m is the slopeb is the y-interceptGiven that the profit y (in dollars) for a business from selling x coats is represented by the equation
\(y=56x\)
comparing with the slope-intercept form of the line equation
m = 56
Determining the y-intercept
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
substitute x = 0 in the equation
y = 56(0)
y = 0
Thus, the y-intercept b = 1
Thus,
The equation y = 5x has:
The slope m = 56The y-intercept b = 1The graph of the equation is also attached.
From the graph, it is clear that at x = 0, the value of y = 0
Hence, the line passes through the origin with the y-intercept 0.
C Question 2 (SO3, AC1, AC2, AC3, AC4) Harry intends to complete a BSc degree. He has to take either Mathematics A or Physics A in his first year. If he takes Mathematics A, he can take chemistry A or Mathematics B in His second year. If he takes Physics A, he has to take Mathematics A in his second year. When Harry has to make a choice between two subjects both are likely to be chosen 1. Draw a decision tree to illustrate the above situation. 2. What is the probability that he will take Mathematics A during the two years? 3. What is the probability that he will take Mathematics A and B during the two years? [6 [2 (2
Answers
The overall probability that Harry will take Mathematics A during the two years is (0.5 * 0.5) + (0.5 * 1) = 0.75
The probability that Harry will take Mathematics A and B during the two years is (0.5 * 0.5) = 0.25
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.
The probability that Harry will take Mathematics A in his first year is 50%. If he takes Mathematics A in his first year, there is a 50% chance he will take it again in his second year. If he takes Physics A in his first year, he has to take Mathematics A in his second year. So the overall probability that Harry will take Mathematics A during the two years is (0.5 * 0.5) + (0.5 * 1) = 0.75The probability that Harry will take Mathematics A and B during the two years is (0.5 * 0.5) = 0.25To learn more about Probability, Visit
https://brainly.com/question/24756209
#SPJ1
What is the formula for calculating the surface area of a sphere?
Answers
Answer:
Please give brainliest
Step-by-step explanation:
c
after how many years will £6,000.00 yield a simple interest of £900.00 at 3%
Answers
Answer:
add 1 Century to divide £6 000 000
Answer:
the answer to your question is 105 I think sorry if it's not
Please help with this question.
Answers
Answer: 3
Step-by-step explanation:
What is the area of this figure?
15 mm
4 mm
Submit
3 mm
3 mm
5 mm
5 mm
7 mm
8 mm
Write your answer using decimals, if necessary.
square millimeters