Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 80 and 5, respectively.

Assuming nothing is known about the distribution, what percentage of test-takers scored better than the trainee who scored 70?
a. Approximentaly 75%
b. Approximentaly all
c. At most 75%
d. At least 75%
e. None of the above

Answers

Answer 1

Answer:

d. At least 75%

Step-by-step explanation:

Since nothing is known about the distribution, we use the Chebyshev Theorem.

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It 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.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this problem, we have that:

Mean = 80, standard deviation = 5.

What percentage of test-takers scored better than the trainee who scored 70?

70 = 80 - 2*5

So 70 is two standard deviations below the mean.

Due to the Chebyshev Theorem, we know that at least 75% of the measures are within 2 standard deviations of the mean, between 70 and 90, which means that this percentage is at least 75%, and the correct answer is given by option d.


Related Questions

An initial investment of $5,000 grows at 9% per year.

Answers

Answer:

C. f(t) = 5000(1.09)^t

Step-by-step explanation:

Compound interest formula:

F = P(1 + r)^t

Answer: C. f(t) = 5000(1.09)^t

Omg help! WORTH 20 points NEED ASAP!!!

Answers

Answer:

The second and last one

Step-by-step explanation:

Sorry if it's not the right answers

Answer:

The first one for sure and maybe the last one

Step-by-step explanation:

Find the perimeter and area of the triangle. Show all work.
31 yd
14 yd
28 yd

Answers

I’m pretty sure it is 73yd

Which step has the mistake in solving for roots?

2x^2 – 7x – 3 = 1

Step 1: 2x^2 – 7x – 4 = 0

Step 2: x^2 – 7x – 8 = 0

Step 3: (x-8)(x+1) = 0

Step 4: (x-8/4)(x+1/4) = 0

Step 5: (x-2)(4x+1) = 0

Step 6: x – 2 = 0 4x + 1 = 0

Step 7: x = 2 x = -1/4

One of these steps is incorrect. List the step that is incorrect, then finish the problem correctly.

Answers

Answer:

Step-by-step explanation:

2x² - 7x - 3 = 1

Step 1: 2x² - 7x - 4 = 0

Step 2: incorrect.

Use Quadratic Formula to solve for roots.

x = [7 ± √(7² – 4·2(-4))] / [2·2]

 = [7 ± √81] / 4

 = [7 ± 9] /4

 = -0.5, 4

help please asap please

Answers

n=15; have a good one

PLEASE HELP ASAP Find the true measurements (2 answers)

Answers

Answer:

(C) Because of the fact that apply for a new number

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP ME. IF I PASS THIS I GET TO GO TO DISNEY WORLD.

Answers

Answer:

11.5

Step-by-step explanation:

Circle 1 has a center (−4, 5) and a radius of 6 cm. Circle 2 has (2, −3) and a radius of 9 cm. What transformations can be applied to Circle 1 to prove that the circles are similar? Enter your answers in the blanks. Enter the scale factor as a fraction in the simplest form.

The circles are similar because the transformation rule (___ , ___ ) can be applied to Circle 1 and then dilate it using a scale factor of ___/___

Answers

Answer:

The circles are similar because the transformation rule (+ 5 , - 6) can be applied to Circle 1 and then dilate it using a scale factor of ​3/4.

Step-by-step explanation:

All the circles are similar.

That is because you can transform one circle onto another by two similarity operations: translation and dilation (scale factor).

For these two circles you have to translate the center of circle 1 to the center of circle 2, which will make that the two circles are concentric (have the same center).

The two centers are (-6,2) and (-1,- 4). To move the center (-6, 2) to (-1,4) you have to shift it 5 units to the right and 6 units down:

- 6 + 5  = - 1

2 - 6 = - 4.

After this translation, you dilate the circle with smaller radius using a scale factor equal to the ratio of the bigger radius to the smaller radius: 8/6 = 4/3.

Enter the scale factor as a fraction in simplest form. 3/4

The circles are similar because the transformation rule (+5 , - 6) can be applied to Circle 1 and then dilate it using a scale factor of ​3/4.

Answer:

The circles are similar because the transformation rule ( [tex]x + 6, y - 8[/tex]) can be applied to Circle 1 and then dilate it using a scale factor of [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

just took the test down. proof down below

* Will give brainliest*

Find the third value, given two values for each linear function. Show work.

h(0)= -1
h(5)=1
h(-5) = ?

Answers

Answer:

The answer is -3

Step-by-step explanation:

If we use the point slope intercept form we would get the slope of 2/5

which we can apply it to the -5 and we would get the answer.

h(0)= -1 is saying the x is the 0 while the y is the -1.

Same goes for h(5)=1.

so then you would do m=[1-(-1)]/(5-0)

which gives you the slope.

The you put the -5 which is the x value and write an equation for it:

y=2/5(-5)-1

Which gives you the answer of -3

GOOD LUCK

Answer:

-3

Step-by-step explanation:

!:3$$3$3

What is the determinant of ​

Answers

Answer:

15

Step-by-step explanation:

Please see attached photo for explanation.

In the attached photo,

|H| => Determinant of H

From the calculations made as illustrated in the attached photo, the determinant of H is 15

What is the value of AB?

Answers

Answer:

345

Step-by-step explanation:

j) You spend $35. Tip is 15%. How much did you pay in total?

Answers

Answer:

You paid $40.25 in total.

Step-by-step explanation:

In this question:

Spending of 35%

Tip of 15% means that 15% of 35 will be added to your total spending. So

[tex]T = 35 + 0.15*35 = 35 + 5.25 = 40.25[/tex]

You paid $40.25 in total.


7) A container is 1/3 full of water and 1/4 full of oil. What fraction of the container is empưy?​

Answers

Answer:

[tex]Empty = \frac{5}{12}[/tex]

Step-by-step explanation:

Given

[tex]Water = \frac{1}{3}[/tex]

[tex]Oil = \frac{1}{4}[/tex]

Required

The fraction that is empty

The constituent of the water can be represented as:

[tex]Water + Oil + Empty = 1[/tex]

Make Empty the subject

[tex]Empty = 1 - Water - Oil[/tex]

Substitute values for Water and Oil

[tex]Empty = 1 - \frac{1}{3} - \frac{1}{4}[/tex]

Take LCM

[tex]Empty = \frac{12 - 4 - 3}{12}[/tex]

[tex]Empty = \frac{5}{12}[/tex]

What percent of 29 is 99?

Answers

Answer:

29%

Step-by-step explanation:

29\99=0.29292929

x100=29.29292929

round to the nearest whole number

29%

A math teacher's homework grading policy states that a homework assignment turned in late will result in the
grade being reduced by a certain percentage each day that the assignment is late. The teacher creates the
table below to illustrate this policy.
Number of Days Late (1)
Homework Grade, g(t)
0
80
60
1
45
2
Based on the table, write an exponential function in the form y= abt that represents the situation.
y =

Answers

I’d love to help but I’m not sure what the answer is, good luck tho!

An exponential function in the form y= abt that represents the situation.

y  = 60.75.

What is correlation coefficient and how to interpret it?

Correlation coefficient is a measure of how similar two datasets are acting.

The range of correlation coefficient is [-1, 1]

When the correlation coefficient comes out as -1, it means that both the datasets are negatively oppositely correlated. One data increases, other data starts decreases in the opposite direction.

When the correlation coefficient comes out below 0, values are negatively correlated.

If the correlation coefficient comes out as 0, that means both the data sets are uncorrelated with respect to how we compare them.

When the correlation coefficient comes out > 0, that means both datasets' values are positively correlated.

If correlation coefficient comes out as 1, then the values grow exact similarly, in the same direction.

Given;

y = -0.4x + 98.3

When you increase your homework score by 1 point, you lose 0.4 points on your test.

-0.4x + 98.3 = 74

→  -0.4x = -24.3  

→  x = 60.75 ≈ 61

Therefore, the correlation will be y=61.

To learn more about the correlation visit:

brainly.com/question/4219149

#SPJ6

A set of 4 chairs cost $56, or you can buy 1 chair for $16. How much less is the cost of 1 chair if you buy the set?

Answers

So the better deal is the 4 chairs for $56 because you would save 8 dollars.
How much less the chairs would cost is they would be $14 so you would save $2

Given AB =6 and BD =8, find the value of x

Answers

Answer: x=10

Step-by-step explanation:

Find AD by making a 90 degree triangle with segments AB and BD

a=6 b= 8 c= c

[tex]a^{2}+b^{2} =c^{2}[/tex]

[tex]6^{2} +8^{2} =c^{2} \\36+64=c^{2} \\100=c^{2} \\10=c[/tex]

AD is = to 10- AD is also the radius of the circle. since x is also the radius of the circle, it is also 10

Need answer to this urgently

Answers

Answer:

x=3

Step-by-step explanation:

25+134+4x+9+180

4x+168+180

4x+12

x=3

the partial circle has a radius of 11 inches
What is the area of this figure? ANSWER ASAP​

Answers

Answer:

285.1 in.²

Step-by-step explanation:

The circle is a ¾ circle.

Area of the figure = ¾(πr²)

Radius (r) = 11 in.

Plug in the value

Area = ¾(π*11²)

Area = ¾(π*121)

Area = 285.099533 ≈ 285.1 in.² (nearest tenth)

Ms. Lee wants to know what kinds of things her students do prepare for her tests. Ms. Lee placed the names of her students into a box. To determine who she would ask about their study habits she asked a student to draw names from the box.

a. What is the sample in this situation?

b. What is the population?

(NOT A MULTIPLE CHOICE)

Answers

Answers:

a) The sample is the set of students Ms. Lee selects from the box.b) The population is the set of all students in Ms. Lee's classroom.

=============================================

Explanation:

The first sentence tells us what the population is: it's the set of all her students. She's not concerned with any other students in any other classroom. So her "universe", so to speak, is solely focused on this classroom only. Once the population is set up, a sample of it would be a subset of the population.

If set A is a subset of set B, then everything in A is also in B, but not vice versa. For example, the set of humans is a subset of the set of mammals because all humans are mammals. However, a dog is a mammal but not a human. This shows that A is a subset of B, but not the other way around. In this example, A = humans and B = mammals.

Going back to the classroom problem, we have A = sample and B = population. If Ms. Lee has 30 students, and she randomly selects 5 of them, then those 30 students make up set B and the 5 selected make up set A. Selecting the names randomly should generate an unbiased sample. This sample should represent the population overall. If the population is small enough, the teacher could do a census and not need a sample. Though there may be scenarios that it's still effective to draw a sample.

Write each phrase as an algebraic expression.

4. Jenny is 5 times as a old
5. Brandon spent 10 dollars more

Answers

The answers are:
4) 5x
5) x+10

I just need these three pretty please

Answers

b = 7
n = 0.78
c = -20

i think these are the answers and i am so so sorry if they are wrong, have an amazing day

In winter, the price of apples suddenly went up by $0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of $5.88.
Write an equation to determine the original price per pound.
Find the original price per pound.

Answers

Answer:

look down

Step-by-step explanation:

sam bought 3 pounds so 0.75 multiplied with 3 is 2.25 then we subtract 5.88 by 2.25 to get the original price for 3 pounds which is 3.63. Last step we divide 3.63 by 3 to get the original price for 1 pound and the answer should be 1.21 per pound.

The final equation should be $5.88- $2.25÷3= $1.21

1.28$ that’s the answer

Four times a number is equal to three times the quantity of one more than the number. What is the number?
a. 1
b. 2
c. 3
d. 4
e. 5

Answers

Answer:

x = 3

Step-by-step explanation:

Equation: 4x = 3(1 + x)

Distribute the 3: 4x = 3 + 3x

Subtract 3x from both sides: x = 3

What is the greatest common factor of 15, 75, and 9

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{Factors of each number }\huge\boxed{\downarrow}\\\\\large\textsf{9: 1. 3. \& 9}\\\large\textsf{15: 1, 3, 5, \& 15}\\\large\textsf{75: 1, 3, 5, 15, 25, \75}[/tex]

[tex]\huge\text{Like terms between the factors}\\\\\bullet \large\textsf{1 \& 3}[/tex]

[tex]\huge\text{Reason for the factors of the numbers }\huge\boxed{\downarrow}\\\\\large\textsf{9: 1}\times\large\textsf{9 = \bf{9} }\& \large\textsf{ 3}\times\large\textsf{3 = \bf 9}\\\\\large\textsf{15: 1}\times\large\textsf{15 = \bf 15 }\&\large\textsf{ 3}\times\large\textsf{5 = \bf 15}\\\\\large\textsf{75: 1}\times\large\textsf{ 75 = \bf 75}, \large\textsf{ 3}\times\large\textsf{25 = \bf 75}, \& \large\textsf{ 5}\times\large\textsf{ 15 = \bf 75}[/tex]

[tex]\huge\text{BIGGEST NUMBER OUT OF THE LIKE}\\\huge\text{TERMS }\huge\boxed{\downarrow}\\\\\large\textsf{\bf 3}[/tex]

[tex]\huge\text{ANSWER }\huge\boxed{\downarrow}\\\\\large\boxed{\textsf{The GCF (Greatest Common Factor) is: \huge\boxed{\textsf3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\large\text{Amphitrite1040:)}[/tex]

I need an answer to this problem​

Answers

The answer is c
This is because only the y-int changes

please help help please

Answers

Answer:

1024 is the answer for this question

the answer is 1024.
4x4x4x4x4= 1024

a.) circumference b.) radius c.) diameter 1 A circle's is the distance from its center to a point on the circle and is represented by the green line in the above picture. 7 a.) circumfrence b.) radius C.) diameter Teras Use​

Answers

Answer:

The diameter is 16, The radius is 8. And I don't know what the circumference is.

Step-by-step explanation:

I’m on the same question

You want Brainliest help me plsss

Answers

Answer:

the slope in the equation is 5, while the slope on the graph is 2

what is the absolute value of |4x|- 12 = 4​

Answers

Answer:

X = 4

Step-by-step explanation:

4 X 4 equals 16 and 16 minus twelve equals 4

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