Suppose that salaries for recent graduates of one university have a mean of $26,400$ 26,400 with a standard deviation of $1200$ 1200. Using Chebyshev's Theorem, what is the minimum percentage of recent graduates who have salaries between $22,800$ 22,800 and $30,000$ 30,000? Round your answer to one decimal place.
Answers
Answer:
By the Chebyshev's Theorem, the minimum percentage of recent graduates who have salaries $22,800 and $30,000 is 89%.
Step-by-step explanation:
Chebyshev's theorem states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 26,400
Standard deviation = 1200
Between $22,800 and $30,000
22800 = 26400 - 3*1200
So 22800 is 3 standard deviations below the mean
30000 = 26400 + 3*1200
So 30000 is 3 standard deviations above the mean.
By the Chebyshev's Theorem, the minimum percentage of recent graduates who have salaries $22,800 and $30,000 is 89%.
Final answer:
Using Chebyshev's theorem, we conclude that at least 88.9% of recent graduates have salaries between $22,800 and $30,000, given a mean salary of $26,400 and a standard deviation of $1200.
Explanation:
The question is asking for the minimum percentage of recent graduates who have salaries within a specific range using Chebyshev's Theorem. By definition, Chebyshev's theorem states that at least 1 - 1/k^2 of data from a sample will fall within k standard deviations from the mean, where k is any number greater than 1. The range in this question can be represented as being within 3 standard deviations from the mean (because ($30,000 - $26,400)/$1200 = 3 and ($26,400 - $22,800)/$1200 = 3). Thus, the minimum percentage of recent graduates having salaries within this range is at least 1 - (1/3^2) = 1 - 1/9 = 8/9 = 88.9%. So, at least 88.9% of the recent graduates fall within this salary range according to Chebyshev's theorem.
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Answers
The inverse of the function will be f⁻¹(x) = [√(x) - 1] / 2 for x ≥ 0.
What is the inverse function?
Let the function f is given as
y = m(x + a) + c
Then the inverse function of the function f will be given by the swapping of x with y and y with x.
The quadratic function is given below.
f(x) = (2x + 1)²
Then the inverse of the quadratic function will be
x = (2f⁻¹(x) + 1)²
2f⁻¹(x) + 1 = √x
2f⁻¹(x) = √x - 1
f⁻¹(x) = [√(x) - 1] / 2 for x ≥ 0
The inverse of the function will be f⁻¹(x) = [√(x) - 1] / 2 for x ≥ 0.
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Answer:
Step-by-step explanation:
Theres the inverse
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Answer:
2/3x + 1
Step-by-step explanation:
The y-intercept is 1. you can see that when x increases three, y increases 2.
Answers
Step-by-step explanation:
no they are not parallel
Answer:
not equal
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its not parallel because sum of angles of alternate angle are not equal.
Answers
Answer: The width of the field = 160 feet
Step-by-step explanation:
We are given that , A field is yards wide.
That means , The width of the field = yards
Since , the fraction is in mixed for , so first we convert this into improper fraction.
Therefore , the width of the field = yards
Since 1 yard = 3 feet.
⇒ the width of the field = feet
Therefore , the width of the field = 160 feet
Answers
The volume of the toy box in cubic feet is 18 ft³.
What is a prism?
A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
First, we need to convert the dimensions of the box from inches to feet:
Height: 24 inches ÷ 12 inches/foot = 2 feet
Width: 36 inches ÷ 12 inches/foot = 3 feet
Length: 36 inches ÷ 12 inches/foot = 3 feet
So, the box has a height of 2 feet, a width of 3 feet, and a length of 3 feet.
To find the volume of the rectangularprism,
We multiply the height by the width by the length:
Volume = 2 feet x 3 feet x 3 feet = 18 cubic feet
Therefore,
The volume of the toy box in cubic feet is 18 ft³.
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24 in=2 ft
36 in=3 ft
V=(w)(h)(l)
V=(3)(3)(2)
V=(9)(2)
V=18 ft
Hope this helps:D Please vote Brainliest!
Answers
The correct answer is B. $ 19.25
Explanation:
To calculate the hourly rate of pay, first, let's calculate the total number of hours Kai worked, and then divide the total earned into the number of hours.
6 hours x 4 days = 24 hours
8 hours x 1 day = 8 hours
24 hours + 8 hours = 32 hours
This shows Kai worked a total of 32 hours. Now to find the hourly rate of pay, follow this procedure:
$616 (total earned) ÷ 32 hours = $19.25 each hour
This means Kai earns $19.25 for each hour of work and therefore the hourly rate of pay is $19.25.
Kai earns $19.25 for each hour of work that is the hourly rate of pay is $19.25. Hence option b is true.
Given that;
Kai had a gross weekly paycheck of $616 last week.
And, Kai worked 6 hours for 4 of the days and 8 hours on 1 day.
Now the total working hour would be,
The working hours in 4 days,
4 × 6 = 24 hours
The working hours in 1 day,
1 × 8 = 8 hours.
Hence, the total working hours in a week is,
24 + 8 = 32 hours
Since Kai had a gross weekly paycheck of $616 last week.
Hence, Kai's hourly rate of pay is,
$616 ÷ 32 = $19.25
Therefore, option b is true.
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