The mean score on a driving exam for a group of driver's education students is 84 points, with a standard deviation of 5 points. Apply chebychev's theorem to the data using k= 12 interpret the results

Answers

Answer 1

Answer:

Interpreting the results:

a) At least 99.3% of the data lies between 12 standard deviations of the mean

b) The data lies between points 0 and 168

Step-by-step explanation:

The mean score on a driving exam for a group of driver's education students is 84 points, with a standard deviation of 5 points. Apply chebychev's theorem to the data using k= 12 interpret the results

Chebychev's theorem states that:

At least 1 - 1/k² data lies between k standard deviation of the mean

μ ± kσ

Where k is a positive number greater than 1

From the question above

μ = Mean = 84 points

σ = Standard deviation = 5 points

Hence: k = 12

We have:

1 - 1/12²

= 1 - 1/144

= 144 - 1/144

= 143/144

= 0.9930555556

Approximately = 99.3%

Interpreting these results means that At least 99.3% of the data lies between 12 standard deviations of the mean

Hence,

μ - kσ

84 - 12 × 7

= 84 - 84

= 0

μ + kσ

84 + 12 × 7

= 84 + 84

= 168

Hence, the data lies between points 0 and 168


Related Questions

Write the truth value (T/F) of each of the following statements:
(1)The general of two similar figures are the same.
(2)The corresponding angles of two similar figures are congruent.
(3)The perimeter of two similar figures are always congruent.
(4)The side lengths of two similar figures are always congruent.
(5)The areas of two similar figures are always congruent.

Please help, i’ll give brainlist! :))

Answers

Answer:

False,True,True,True,True I think

Write y−4=1/2(x−3) in slope-intercept form.

Answers

Answer:

y = 1/2x + 2 1/2

Step-by-step explanation:

y - 4 = 1/2 (x - 3)

y - 4 = 1/2x - 3/2

y = 1/2x - 3/2 + 4

y = 1/2x + 2 1/2

Find the value of 7 + 3↑2 (-5 + 1) ÷ 2.

Answers

Answer:

-11

Step-by-step explanation:

7 + 3↑2 (-5 + 1) ÷ 2

7 +  3↑2(-4)  ÷ 2

7+9(-4) ÷ 2

7+(-36) ÷ 2

7-18

-11

Answer:

Im not sure what the arrow is for but

7 + 3.2 (-5 + 1) ÷ 2= 8.2

Step-by-step explanation:

7+3.2=10.2

(-5+1)÷2= -2

-2+10.2= 8.2

ANSWER: 8.2

3 less than the quotient of a number y and 4
Expression:
When y = 20, the value of the expression is
Please help ASAP!!

Answers

Step-by-step explanation:

3 less than the quotient of a number y and 4

= y/4 - 3.

When y = 20, y/4 - 3 = 20/4 - 3 = 2.

How many 38s does it take to make 32.

Answers

Answer:

.842

Step-by-step explanation:

Divide 32 by 38 to figure out how many of them are needed. Answer is .842 rounded.

please answer quickly
geometry reflections translation: (x, y)->(x+2, y- 1)
H(-2, 4), 1(0,5), H3, 2)

Answers

Answer:

H'(0, 3); I'(2, 4); J'(5, 1)

Step-by-step explanation:

H'(-2+2,4-1)

H'(0, 3)

I'(0+2, 5-1)

I'(2, 4)

J'(3+2, 2-1)

J'(5, 1)

7th grade math help me pleaseee

Answers

no, -6+2= -4

not -6 +(-2)

Juanita works in a bakery. She uses 10 eggs to make 3 cakes, 16 eggs to make 5 cakes, and 25 eggs to make 8 cakes. What rule does Juanita follow when she bakes cakes?


A. c = 3e + 4

B. e = c + 7

C. e = 3c + 1

D. c = 3e + 2

Answers

Answer:

ur answr is C)e = 3c + 1

Step-by-step explanation:

if u take ur number of cakes times 3 and add one, you get the rite amount of eggs each time.

Hope this helps!! Pls mark me brainliest!!

Which decimal is equivalent to 5/8

Answers

The answer is the first option: 0.625

Answer:

0.625

Step-by-step explanation:

The lines on top of the numbers means that the number continues for a long time. However, 5/8 isn't infinite which means we can rule the 2nd and 3rd options. We also know that 5/8 certainly isn't greater than 1 which means the only answer we have left is the 1st one.

(sorry this is so confusing but I hope it helped anyway)

There are 5 red markers, 2 orange markers, 3 yellow markers, and 5 green markers in a desk drawer. plss help

Answers

Answer:

15 markers in all

Step-by-step explanation:

5 + 2 + 3 + 5 =

5 + 5 = 10

+

2 + 3 = 5

=

10 + 5 = 15

Brainliest Please!!

HURRY I ONLY HAVE 3 MINUTES

Answers

Answer:3rd one down

Step-by-step explanation

Answer:

The answer is the 2nd option [tex]h(x) = \sqrt[3]{x+2}[/tex]

Step-by-step explanation:

The parent cube root function intersects the origin (0,0). Putting a positive two with the x under the cube root moves the function 2 units to the left. So the second answer is correct.

find the slope of the line that passes through (48,44) and (6,9)


Answers

The slope is 0.8 if that’s what you’re talking about
It’s 35/42 my work is in the picture

Solve for x:16^(4x-3)=8^(2x+4)

Answers

Answer:

x = 2.4

Step-by-step explanation:

16^(4x - 3) = 8 ^ (2x + 4)

16 = 2^4

8 = 2^3

2 ^ 4*(4x - 3) = 2^3(2x + 4)

Since the bases are the same, you can equate the powers

4(4x - 3) + 3*(2x + 4)           Remove the brackets.

16x - 12 = 6x + 12                 Subtract 6x from both sides

16x - 6x - 12 = 12                Combine the terms on the left

10x - 12 = 12                        Add 12 to both sides

10x = 24                              Divide by 10

x = 2.4

A trader paid 15 for 6 drinking cups. One of the cups got broken. He sold the remaining five, making a profit of 10percent calculates the cost of each of the six cups ​

Answers

Answer:

The cost of each of the six cups is 2.50.

Step-by-step explanation:

The cost of each of the six cups can be calculated as follows:

Cost per cup = Total cost / Number of cups paid for ................. (1)

Where;

Cost per cup = ?

Total cost of cups = 15

Number of cups paid for = 6

Substituting the values into equation (1), we have:

Cost per cup = 15 / 6

Cost per cup = 2.50

Therefore, the cost of each of the six cups is 2.50.

It takes 12 hours to fill a pool with two pipes, where the water in one pipe flows three times as fast as the other pipe. How long will it take the slower pipe to fill the pool by itself

Answers

I think it’s 72hours

rewrite as a monomial in its standard form:

-(3xy)^2 * (-3x)^3

Answers

Your answer is: 243x^5y^2

Merry Christmas and I hope this helps!!

Brandon decided to make his own hand sanitizer.
To be effective, hand sanitizer should contain 60% alcohol.
If Brandon uses 120ml of pure alcohol, how much sanitizer can he make?

Answers

Answer:

200ml

Step-by-step explanation:

120ml ÷ 60 = 2 x 100 = 200ml

The solution is 200 mL

The amount of sanitizer Brandon can make from 120mL of alcohol is given by the equation A = 200 mL

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of sanitizer from 120 mL of alcohol be A

Now , the equation will be

The sanitizer should contain 60% alcohol

So ,

120 = ( 60 / 100 ) x amount of sanitizer from 120 mL A

Substituting the values in the equation , we get

120 = ( 60 / 100 ) x A

Divide by 60 on both sides of the equation , we get

A / 100 = 2

Multiply by 100 on both sides of the equation , we get

A = 200 m L

Therefore , the value of A is 200 mL

Hence , the amount of hand sanitizer is 200 mL

To learn more about equations click :

https://brainly.com/question/19297665

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plzzz help meeWhich of these copper wires has the

highest resistance?

A 0.5 mm diameter, 10 cm long

B 0.5 mm diameter, 20 cm long

C 1.0 mm diameter, 10 cm long

D 1.0 mm diameter, 20 cm long

Answers

Answer:

A. option is your answer.

... hope it helps you friend ❤️

.....and please follow me

The speed limit is 55 kilometers per hour. What is the speed limit in miles per hour?

Answers

Answer:

34.2 or 34.20

Step-by-step explanation:

I think that it is this

Answer:

34.2

Step-by-step explanation:

What is the solution of the equation: - 7 – x = 20

Answers

Step-by-step explanation:

Given

- 7 - x = 20

- x = 20 + 7

- x = 27

therefore x = - 27.

The difference of 10 and 3 times x .

Answers

Answer:

10-3x      that would be 7x

Step-by-step explanation:

10-3=7

7times x=7x

can i plz have brainliest?

plz?

Combine into a single logarithm.

3log(x+y)+2log(x-y)-log(x^2 +y^2)

Answers

Answer:

[tex]3\log _{10}\left(x+y\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]

Step-by-step explanation:

Given the expression

[tex]3log\left(x+y\right)+2log\left(x-y\right)-log\left(x^2\:+y^2\right)[/tex]

solving to write into a single logarithm

[tex]3log\left(x+y\right)+2log\left(x-y\right)-log\left(x^2\:+y^2\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \:a\log _c\left(b\right)=\log _c\left(b^a\right)[/tex]

[tex]3\log _{10}\left(x+y\right)=\log _{10}\left(\left(x+y\right)^3\right)[/tex]

so

[tex]=\log _{10}\left(\left(x+y\right)^3\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \:a\log _c\left(b\right)=\log _c\left(b^a\right)[/tex]

[tex]2\log _{10}\left(x-y\right)=\log _{10}\left(\left(x-y\right)^2\right)[/tex]

so

[tex]=\log _{10}\left(\left(x+y\right)^3\right)+\log _{10}\left(\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(a\right)+\log _c\left(b\right)=\log _c\left(ab\right)[/tex]

[tex]\log _{10}\left(\left(x+y\right)^3\right)+\log _{10}\left(\left(x-y\right)^2\right)=\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)[/tex]

so

[tex]=\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(a\right)-\log _c\left(b\right)=\log _c\left(\frac{a}{b}\right)[/tex]

[tex]\log _{10}\left(\left(x+y\right)^3\left(x-y\right)^2\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]

[tex]=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]

Thus,

[tex]3\log _{10}\left(x+y\right)+2\log _{10}\left(x-y\right)-\log _{10}\left(x^2+y^2\right)=\log _{10}\left(\frac{\left(x+y\right)^3\left(x-y\right)^2}{x^2+y^2}\right)[/tex]

In a school with 700 students, a survey revealed that 80% of the students liked the new lunch menu. Based on this data, how many students liked the new menu?

Answers

Answer:

560 students

Step-by-step explanation:

We are given that the total number of students is

700

The survey results is 80% likes the new lunch menu

We are expected to establish what amount of students is 80%

=80/100*700

=0.8*700

=560

Hence 80% of 700 is 560

hello there can anyone solve this plz (chart is attached):
correct answer gets brainliest
If h(x) = f[f(x)] use the table of values for f and f ' to find the value of h '(1)

Answers

Answer:

[tex]h^\prime(1)=14[/tex]

Step-by-step explanation:

We have the function:

[tex]h(x)=f[f(x)][/tex]

And we want to find:

[tex]h^\prime(1)[/tex]

So, we will differentiate function h. By the chain rule, this yields:

[tex]h^\prime(x)=f^\prime[f(x)]\cdot f^\prime(x)[/tex]

Then it follows that:

[tex]h^\prime(1)=f^\prime[f(1)]\cdot f^\prime(1)[/tex]

Using the table, we acquire:

[tex]h^\prime(1)=f^\prime(3)\cdot2[/tex]

And using the table again, we acquire:

[tex]h^\prime(1)=7\cdot 2[/tex]

Evaluate. Hence:

[tex]h^\prime(1)=14[/tex]

Write the point-slope form of the given line that passes through the points (0, -3) and (4, 1). Identify (x1, y1) as (0, -3). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answers

Answer:

X1=0

Y1=-3

X2=4

Y2=1

Slope=(y2-y1)/(x2-x1)

Slope=(1-(-3))/(4-0)

Slope=4/4

Slope=1

Step-by-step explanation:

PLEASE HELP! 40 POINTS! How can you solve for x in the proportion StartFraction 7 over 8 EndFraction = StartFraction x over 24 EndFraction? (The proportion is: 7/8 = x/24)


a.Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x.

b.Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x.

c.Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x.

d.Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Answers

Answer:

as isyllus says, Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Step-by-step explanation:

We given the fraction to be solved:

Using cross multiplication method:

i.e. Numerator of Left Hand Side term to be multiplied with Denominator of Right Hand Side term and put equal to multiplication of denominator of Left Hand Side term to Numerator of Right Hand Side term.

So, the first step to be carried out as per cross multiplication method:

Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Step-by-step explanation:

The product of 3 and r

Answers

Answer and Step-by-step explanation:

The product of something is when two things multiply each other.

The product of 3 and r would then be 3r.

This is because we are multiplying 3 by r, which results in 3r.

#teamtrees #WAP (Water And Plant)

The product of 3 and r is 3r.

Product of 3 and r is to determine.

What is product?

Product of two values or more is the number of times one value to the other.

Here,
Product can be given as
= 3 x r
= 3r

Thus, The product of 3 and r is 3r.

Learn more about product here:
https://brainly.com/question/22852400

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30 POINTS!!!!
A scuba diver is swimming at a depth of 46 meters below sea level. He swims 0.5 meters toward the surface every 3 seconds.

What is his location relative to the surface after 15 seconds?

Answers

he is at sea level 43.5 i am pretty sure

Answer:

The scuba diver would be 43.5 meters from the surface after 15 seconds

Step-by-step explanation:

So first we need to take 0.5 and multiply it by 5 since we know 15 divided by 3 is equal to 5, and we get 2.5

We then take 46 and subtract 2.5 from it, resulting in 43.5

What is 0.7439 rounded to the nearest hundredth need help

Answers

Answer:

0.74

Step-by-step explanation:

0.7439 = 0.74

Please help me out!!!!!

Answers

Answer:

last option is the polynomial

Step-by-step explanation:

The easiest way to go about this is to look at the last statement

f(2) = 144

The solution to finding the polynomial is by substituting x = 2 into any of the polynomials; if after substituting, we have the value as 144, then the given polynomial is our answer

Let us have a look at each of the polynomials in the option;

1. 2(2)^7 -8(2)^5 + 2(2)^3 = 16

This cannot be our answer

2. 2(2)^7 - 2(2)^5 + 4(2)^3 = 224

This is not our answer

3. 2(2)^7 - 2(2)^5 + 144(2)^3 = 1,344

This is not our answer

4. 2(2)^7 -4(2)^5 + 5(2)^3 = 168

This is not our answer

5. 2(2)^7 -4(2)^5 + 2(2)^3 = 144

This is our answer

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