The mean score on a driving exam for a group of​ driver's education students is 84 ​points, with a standard deviation of 6 points. Apply​ Chebychev's Theorem to the data using k=2. Interpret the results.

At least _% of the exam scores fall between _ and _.
Simplify your answers.

Answers

Answer 1

Answer:

At least 75% of the exam scores fall between 72 and 96.

Step-by-step explanation:

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].

Apply​ Chebychev's Theorem to the data using k=2.

k = 2, so within 2 standard deviations of the mean, interval in which at least 75% of the measures fall.

In this question:

Mean of 84, standard deviation of 6.

84 - 2*6 = 84 - 12 = 72

84 + 2*6 = 84 + 12 = 96

At least 75% of the exam scores fall between 72 and 96.


Related Questions

simplify 5x+(2x-y)- 4y)​

Answers

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

[tex]\huge\text{5x + (2x - y) - 4}[/tex]

[tex]\huge\text{= 5x + 2x - y - 4y}[/tex]

[tex]\huge\text{COMBINE the LIKE TERMS}[/tex]

[tex]\huge\text{(5x + 2x) + (-y - 4y)}[/tex]

[tex]\huge\text{5x + 2x = \boxed{\bf 7x}}[/tex]

[tex]\huge\text{-y - 4y = \boxed{\bf -5y}}[/tex]

[tex]\boxed{\huge\text{= \bf 7x - 5y}}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \text{\bf 7x - 5y}}}}\huge\checkmark[/tex]

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

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex]\longrightarrow{\blue{ 7x - 5y }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]5x + (2x - y) - 4y[/tex]

➼ [tex] \: 5x + 2x - y - 4y[/tex]

➼ [tex] \: 7x - 5y[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Classify the triangle by its angles and sides.
acute isosceles
acute scalene
equiangular equilateral
obtuse isosceles

Answers

I’ll pay you to do my 7 math assignments(no scams no bs) Hmu asap

Answer:

equiangular equilateral

all sides are equal  

Abby went to the store to buy ice cream for her party. Each box costs $3. She has a coupon for 20% off her total. If Abby buys 3 boxes, what will she pay after using the coupon?

Answers

Answer: 7.2$

hope it helps :)

step-by-step explanation:

Cost of each box = 3$

Cost of 3 boxes without 20% coupon = 9$

With 20% off Coupon = 9 by 100 multiplied by 20

                                     (the zero's cut with each other leaving)

                                     = 9 by 10 multiplied by 2

                                     (9 multiplied by 2 = 18)

                                     = 18 by 10

                                     (18 divided by 10 = 1.8)

                                     = the 20% of 9$ is equal to 1.8

                                        when subtracted with the total cost leaves 7.2$

y adjusted for wind chill (in degrees Fahrenheit, give
formula:
y=-26 + 1.3x
Estimate the actual temperature if the temperature
Fahrenheit.

Answers

Answer:

The actual temperature is: -6.92

Step-by-step explanation:

Given

[tex]y = -26 + 1.3x[/tex]

Required

Find x when [tex]y = -35[/tex]

Substitute [tex]y = -35[/tex] in [tex]y = -26 + 1.3x[/tex]

[tex]-35 = -26 + 1.3x[/tex]

Collect like terms

[tex]1.3x = 26 - 35[/tex]

[tex]1.3x = -9[/tex]

Solve for x

[tex]x =-9/1.3[/tex]

[tex]x =-6.92[/tex]

0.87 written as a fraction

Answers

Answer:

[tex] \frac{87}{100} [/tex]

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction.

Hope it is helpful...

Answer:

87/100

Step-by-step explanation:

Which of the following is the correct graph of a linear equation below Y +3 equals -2/3 times X -4

Answers

Answer:

Where are the graphs?

Step-by-step explanation:

Which of these would be the opposite of a progressive tax?

Answers

c

A regressive tax is the opposite of a progressive tax because you pay a higher tax rate as your income decreases.

Answer:

b

Step-by-step explanation:

A salesman with an annual base salary of $35,000 gets a 5% commission on the first $600,000
in sales, a 7% commission on the next $300,000, and 8% on sales above $900,000. What would
be his total compensation for the year if he sold $1 million of product?

Answers

Answer:

11%

I think im sorry if im wrong

Step-by-step explanation:

what is the correct answer?

Answers

Answer:

5

Step-by-step explanation:

Answer:4.5

[um i cant relay see it but il do my best]

If the graph of the following parabola is shifted one unit left and two units up,
what is the resulting equation in vertex form?
x² = 12y

Answers

Answer: (x+1)^2=12(y-2)

Step-by-step explanation:

Complete the function table. i really need help please

Answers

Answer:

Here ya go

Step-by-step explanation:

The proportion of all high school students who watch national news is p = 0.47. A random sample of 50 high school students is selected. Which of the following is the mean of the sampling distribution of p hat ? Mu Subscript p hat = p = 0.47 Mu Subscript p hat = n p = 50 (0.47) = 23.5 Mu Subscript p hat = 1 minus p = 1 minus 0.47 =0.53 Mu Subscript p hat = n (1 minus p) = 50 (1 minus 0.47) = 26.5

Answers

Approximately 60% of all part-time college students in the United States are female. (In other words, the population proportion of females among part-time college students is p = 0.6.) What would you expect to see in terms of the behavior of a sample proportion of females (p-hat) if random samples of size 100 were taken from the population of all part-time college

The mean of the sampling distribution of p hat is,

⇒  Mu Subscript p hat = n p = 50 (0.47) = 23.5

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The proportion of all high school students who watch national news is p = 0.47.

And, A random sample of 50 high school students is selected.

Hence, By definition we get;

The mean of the sampling distribution of p hat is,

⇒  Mu Subscript p hat = n p

                                  = 50 (0.47)

                                   = 23.5

Thus, The mean of the sampling distribution of p hat is,

⇒  Mu Subscript p hat = n p = 50 (0.47) = 23.5

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Choose the answer that represents the product below as a exponential
expression.
(-4).(-4).(-4).(-4).(-4).(-4)
A. (-4)^6
B. (-4)^4
C. 6•(-4)
D. (-6)^-4

Answers

Answer:

(-4) ^6

Step-by-step explanation:

(-4)*(-4)*(-4)*(-4)*(-4)*(-4)

There are six (-4)'s multiplied together

(-4) is the base and 6 is the exponent

(-4) ^6

Use the expression below to answer the question.

6n(19−8)÷3=22
In describing the expression, which term would not be used?



a.difference

c.product

b.sum

d.quotient

Answers

Answer:

b sum

Step-by-step explanation:


Given a mean of 75 and a standard deviation of 7, how many students out of 500
would score higher than 89?

Answers

Answer:

230

Step-by-step explanation:

isiwjsjxjxjsiqisjnx

which of the following is a proportion 4/6 =9/12, 6/9= 8/12, 8/10=6/8 , 3/4=12/15

Answers

6/9=8/12
Bc
6/9=2/3=8/12

How many real equations does 8-4x=o have ?

Answers

Answer:1 real solution

Step-by-step explanation:

Exponents are really not my thing but i am force to do it.

Answers

Answer:

1. False

2. True

3. False

Step-by-step explanation:

Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.

Answers

Answer:

x=3 and x=-2 is the root of given eq

Answer:

Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.?

x = –2 or x = 3 is the answer

Step-by-step explanation:

all the angles of polygon of 30 sides are equal what is the measure of each angle​

Answers

Answer:

(30-2)*180 calculate and get ur answer

what units are used to calculate distance

Answers

Answer:

Step-by-step explanation:

Miles

Which of the following rational functions is graphed below?
A. F(x) =1/(x-4)^2
B. F(X) =1/(x + 4)^2
C. F(X) = 1/4x^2
D. F(x) = 4/x^2

Answers

Answer to your question is B. f(x)= 1/(x+4)^2

The equation of the rational function is f(x) = 1/(x + 4)^2

How to determine the graph?

From the figure, we have the following property:

Vertical asymptote at;

x = -4

Add 4 to both sides

x + 4 = 0

Square both sides

(x + 4)^2 = 0

The above means that the denominator of the equation of the graph is (x + 4)^2

So, we have:

f(x) = 1/(x + 4)^2

Hence, the equation of the rational function is f(x) = 1/(x + 4)^2

Read more about rational function at:

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Match each pair of equations with the property that justifies why they are equivalent.

Not all properties will be used.

Answers

9514 1404 393

Answer:

subtractionmultiplicationcombine like terms

Step-by-step explanation:

The properties of equality say the value of the variable does not change if the same function is performed on both sides of the equal sign.

a) 4x +7 = 19   ⇒   4x = 12

The value -7 was added to both sides. Equivalently, 7 was subtracted from both sides. The Subtraction Property of Equality was used.

__

b) 2x/3 = 8   ⇒   2x = 24

Both sides were multiplied by 3. The Multiplication Property of Equality was used.

__

c) 5x -6 +2x = 22   ⇒   7x -6 = 22

Terms 5x and 2x were combined and written as 7x. We call this Combine Like Terms.

Which relationship has a zero slope?

A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2.

A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3.

A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5)

A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).

Answers

Answer:

B. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3.

Ordinary least squares estimation is subject to heterogeneity bias if _____. 答案选项组 the regression model exhibits heteroskedasticty the unobserved effect is correlated with the observed explanatory variables the regression model includes a lagged dependent variable the explanatory variables do not change over time

Answers

Answer:

Unobserved effect.

Step-by-step explanation:

The unobserved effect of heterogeneity is correlated with the observed explanatory variables. Population heterogeneity is bias in unobserved pre treatment factors which affect the outcome even without treatment.

Mike forgot the last three digits of his friend's telephone number. He only remembers that the digits are not the same. What is the probability he dials the correct telephone number on the first try

Answers

Answer:

1/720 = 0.0014 = 0.14% probability he dials the correct telephone number on the first try.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order of the digits is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Desired outcomes:

One correct number, so [tex]D = 1[/tex]

Total outcomes:

3 non-repeated digits, so permutations of 3 digits from a set of 10(all digits). So

[tex]T = P_{10,3} = \frac{10!}{7!} = 10*9*8 = 720[/tex]

What is the probability he dials the correct telephone number on the first try?

[tex]p = \frac{D}{T} = \frac{1}{720} = 0.0014[/tex]

1/720 = 0.0014 = 0.14% probability he dials the correct telephone number on the first try.

NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at math.

A student divided f(x) = 3x^3 + 8x^2+ 5x - 4 by x+ 2 and found the remainder was r= -6.Based on the remainder theorem, what can be concluded about f(x)?

A: The function f(x) = 3x^3 + 5x- 4 has a zero at -6.

B: The point (-2,-6) lies on the graph of f(x).

C: The y-intercept of the graph of f(x) is -6.

D: The function f(x) = 3x^3 + 8x^2 + 5x - 4 has a zero at -2.​

Answers

Answer:

b

Step-by-step explanation:

please answer both questions thanks ​

Answers

67 on the first one and the second one is 34

Answer:

3. sin(43) = a/17

a = 17sin(43)

= 11.594

≈ 11.6

4. sin(35) = 6/b

b · sin(35) = 6

b = 6/sin(35)

= 10.46

Find the distance between the pair of points: (2,6) and (0,−3).

Answers

Answer:

d = √85

Step-by-step explanation:

d^2 = (X2 - X1)^2 + (Y2 - Y1)^2

= (2 - 0)^2 + (6 + 3)^2

= 4 + 81

d = √85

Pleaseee helpppp!!! 20 points

Answers

Answer:

The correct option is (A).

Step-by-step explanation:

The given expression is :

[tex]\dfrac{14x^4y^6}{7x^8y^2}[/tex]

The numerator contains 14x⁴y⁶ and the denominator is 7x⁸y².

We can write it as :

[tex]\dfrac{14x^4y^6}{7x^8y^2}=\dfrac{7\times 2\times x^4\times y^2\times y^4}{7x^4\times x^4\times y^2}[/tex]

Canceling the common terms,

[tex]=\dfrac{2y^4}{x^4}[/tex]

So, the correct option is (A).

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